ged math practice test learner resource...

GED Math Practice Test

Learner Resource A

Draft

(NSSAL)

C. David Pilmer

©2015

(Last Updated: June 2015)

This resource is the intellectual property of the Adult Education Division of the Nova Scotia

Department of Labour and Advanced Education.

The following are permitted to use and reproduce this resource for classroom purposes.

NS CLO instructors delivering GED Math curriculum within the Nova Scotia Adult

Learning Program

Canadian public school teachers delivering public school curriculum

Canadian nonprofit tuition-free adult basic education programs

The following are not permitted to use or reproduce this resource without the written

authorization of the Adult Education Division of the Nova Scotia Department of Labour and

Advanced Education.

Upgrading programs at post-secondary institutions

Core programs at post-secondary institutions

Public or private schools outside of Canada

Basic adult education programs outside of Canada

Individuals, not including teachers or instructors, are permitted to use this resource for their own

learning. They are not permitted to make multiple copies of the resource for distribution. Nor

are they permitted to use this resource under the direction of a teacher or instructor at an

unauthorized learning institution.

Acknowledgments

The Adult Education Division would like to thank the following ALP instructors for piloting this

resource and offering suggestions during its development.

Patrick Carruthers (EHCL)

Andre Davey (Metroworks)

Shannon Davis (YCLN)

Marcia Franklin (DLN)

Florence MacEachern (ACALA)

Sheri MacNeil (DALA)

Dale Taylor (Metroworks)

Phil van den Hevvel (DLN)

NSSAL i Draft

©2015 C. D. Pilmer

Table of Contents

Introduction for Instructors ………………………………………………………………….. ii

Word Problems: Whole Numbers and Money ………………………….…………………… 1

Proportional Reasoning ……………………………………………………………………… 11

Statistics and Probability …………………………………………………………..………… 18

Measurement …………………………………………………………………………….…... 25

Graphs and Functions ………………………………………………………………………… 31

Algebra ……………………………………………………………..………...…………….... 38

Geometry and Trigonometry …………………………………………………………….…... 42

Answers ……………………………………………………………………………………… 45

NSSAL ii Draft

©2015 C. D. Pilmer

Introduction for Instructors

This learner resource, which is an adaption of the GED Math Customized Practice Resource, is

designed so that learners can experience a variety of “true” GED math practice test questions

(i.e. multi-step, multi-concept problem solving questions). The original GED Math customized

resource, which comes in a MS Word version, allows instructors to create a variety of

customized GED practice tests. The only limitation with this resource is that instructors need to

devote some of their preparation time to create these customized tests. One of the course

development team members (Andre Davey from Metroworks) suggested that we take the

customized practice instructor resource and break it into three student resources (i.e. GED Math

Practice Test Learner Resource A, B, and C). So that is what we did.

A learner receives the complete resource and is either assigned all the questions in the booklet or

specific questions; this is at the discretion of the instructor. These three resources, like the GED

Math Prep Plus resource and its accompanying videos, should be given to the learners in the last

six to seven weeks of their 16-week GED Math Prep course. We recommend this practice

because almost all questions are multi-step and multi-concept questions.

NSSAL 3 Draft

©2015 C. D. Pilmer

Word Problems: Whole Numbers and Money 1A You are given the following statement.

Lana has 4 keys on her key chain, and Ajay has 20 keys on his key chain.

Which one of the four following responses is incorrect based on the information provided in the statement

above?

(a) Ajay has 16 more keys than Lana

(b) Lana has one-fourth the number of keys as compared to Ajay.

(c) Ajay has 5 times as many keys as Lana

(d) Lana and Ajay have a total of 24 keys.

2A Two brothers, Bashir and Kadeer, started a three month exercise program. The brothers devoted 2 hours a

day to this program, 7 days a week. Bashir originally weighed 205 pounds but dropped 10 pounds over the

three month period such that his new weight was 195 pounds. Kadeer lost 8 pounds over that same period,

going from 195 pounds to 187 pounds. How much weight did Bashir lose during this exercise program?

(a) 10

(b) 7

(c) 8

(d) 2

3A You are given the following statement.

Dan is 52 years old. Genevieve is 48 years old. Based on this, we can say that Dan is 4 years older

than Genevieve.

Which one of the following statements is an incorrect reworking of the statement above?

(a) Genevieve, who is 48 years old, is younger than Dan, who is 52 years old, by 4 years.

(b) There is a 4 year difference between Genevieve and Dan's ages. If Genevieve is younger and 48 years

old, then Dan must be 52 years old.

(c) If Genevieve was born 4 years after Dan and she is 48 years old, then Dan must be 52 years old.

(d) Dan is younger than Genevieve by 4 years. If he is 52 years old, then Genevieve is 48 years old.

4A To the right you have been given four numbers. Three of those four numbers can

be filled into the statement below such that the statement makes sense.

Ryan, who prefers running, ran for _____ minutes and biked for _____

minutes. That means he trained for a total of _____ minutes.

In what order should three of those four amounts be inserted into the statement?

(a) 40, 30, 70

(b) 30, 40, 70

(c) 30, 20, 40

(d) 20, 30, 70

5A Identify the only statement that makes total sense.

(a) At the age of 10 years, a particular boy is 5 feet tall. That means that at 20 years, he should be 10 feet

tall?

(b) Roommates, who are renting a small apartment, agree to buy a $600 flat screen television (after taxes)

and share the cost equally. That means that each of the 60 roommates must pay $10.

(c) Rajani ran 6 kilometres per day over 7 days. In that period of time she ran a total of 42 kilometres.

(d) Kendrick is 31 years old, and Marcus is 37 years old. That means that Marcus is 6 years younger than

Kendrick.

40 20

70 30

NSSAL 4 Draft

©2015 C. D. Pilmer

6A The expression 2 2

5 7 is

(a) equal to 12

(b) between 8 and 9

(c) between 4 and 5

(d) between 9 and 10

7A Find the value of the following expression: 25353232

(a) 19

(b) 15

(c) 29

(d) 21

8A The local elementary school has 600 students, and the local middle school has 300 students. Combined the

two schools have 30 teachers. How many more students are at the elementary school compared to the

middle school?

__________

9A Lisa used a 200 ml container to fill a larger container. She used the 200 ml container six times, but on the

last pour she could only add 150 ml of the 200 ml. How many millilitres can the larger container hold?

__________

10A Two towns looked at the new construction that occurred in their areas over the last year. During that time

apartments, singled detached houses (i.e. single family homes), semi-detached houses (i.e. duplexes), and

row houses were built. The number of each type of building for the two towns is shown in the circle graphs

below.

Town A Town B

Look at the total number of single detached and semi-detached homes built in each of these towns. How

many more of these houses were built in Town A compared to Town B?

__________

NSSAL 5 Draft

©2015 C. D. Pilmer

11A Angela works from 9 a.m. until 5 p.m. (with a paid lunch break). If she makes $10 per hour, how much

will she make, before deductions, in a 5-day work week?

(a) $350 (b) $375

(c) $400 (d) $450

12A You need to purchase 12 cubic yards of topsoil. The company supplying the soil charges $20 per cubic

yard of soil plus a trucking fee of $55. Before taxes, how much will it cost to purchase and have the soil

dropped off at your property?

(a) $295 (b) $345

(c) $680 (d) $900

13A Four roommates decide to share the following monthly expenses equally: rent - $945, electric - $130, and

water - $45. Which expression below represents how much each roommate had to contribute to the

monthly expenses?

(a) 4 945 130 45

(b) 945

130 454

(c) 945 130 45

4

(d) 4

945 130 45

14A Tyrus goes to a fast food restaurant. His bill before taxes is $12.70. The tax on the meal is $1.91. If Tyrus

pays with a $10 and $5 bill, which one of these expressions represents the change he will receive?

(a) 10 5 12.70 1.91

(b) 12.70 1.91

10 5

(c) 12.70 1.91 10 5

(d) 12.70 1.91 10 5

15A Sasha wishes to join the local gym, and has two payment options from which to choose. The first option

allows her to make monthly payments of $90. The other option is a one-year membership where she makes

two payments of $480 – one at the beginning of the year, and the other six months later. Assuming that

Sasha is going to use the gym for one year, which expression represents her savings using the second

payment option compared to the first payment option?

(a) 480 90

2 12

(b) 480 90

12 2

(c) 12 480 2 90

(d) 12 90 2 480

NSSAL 6 Draft

©2015 C. D. Pilmer

16A To the right, you have an input output table. You input one number and

another number is generated (i.e. the output number). Which of the four

rules listed below describes the relationship between the input and output

number in this case?

(a) output 2 input +5

(b) output 2 input +2

(c) output 4 input 10

(d) output 3 input 4

17A Donna is a waitress at a local restaurant, where on average she serves 8 tables per hour. She earns $11 each

hour and keeps all her tips, which average $5.00 per table. How much money could Donna expect to earn

between 11:00 a.m. and 2:00 p.m.?

$__________

18A A local restaurant needs flyers to advertise its business. A printing company gives the following costs.

Cost

Basic set-up charge $25

First 300 flyers $12 per 100 flyers

Extra flyers above the 300 $8 per 100 flyers

If the restaurant needs 500 flyers, what is the cost?

$_________

19A Both Sandra and Monique work from 9 a.m. until 5 p.m. (with a paid lunch) at the same retail store.

Sandra makes $13 per hour and Monique makes $11 per hour. How much more does Sandra make

compared to Monique in five days of work?

$__________

Input Output

9 23

4 8

6 14

NSSAL 7 Draft

©2015 C. D. Pilmer

20A The table below shows the pay rates of three employees. The employees are paid the regular rate for the

number of hours up to 40 and are paid the overtime rate for the number of extra hours they work over 40.

There is also a bar graph showing the number of hours worked by each employee in a specific week.

Employee regular overtime

Kennedy $12/hour $18/hour

Chopra $14/hour $21/hour

Theriault $20/hour $30/hour

How much more did Theriault earn than Kennedy in this specific week?

$_________

21A The average precipitation for three Canadian cities over three months is shown in the table below.

St. John’s

Newfoundland

Charlottetown

P.E.I.

Toronto

Ontario

June 89 mm 83 mm 63 mm

July 83 mm 73 mm 81 mm

August 113 mm 93 mm 67 mm

What is the difference in the combined average precipitation between St John’s and Toronto for the months

of July and August?

__________ mm

38 39 40 41 42 43 44 45 46 47 48 49 50 51

Theriault

Chopra

Kennedy

hours worked

NSSAL 8 Draft

©2015 C. D. Pilmer

22A The daytime high temperatures in Celsius for three cities over five days are shown in the graph below.

(a) How much warmer in terms of the daytime high is it in City C on day 2 compared to City A on day 5?

__________ oC

(b) What is the median temperature for City B during this five day interval?

__________ oC

23A There are three candidates for mayor in a municipal election. The following chart shows the election

results for all four polling stations, but it is missing one number.

Candidates

Can

dic

e

Sp

ence

r

Man

ish

Sh

ah

Stu

art

Kn

ock

wo

od

Sp

oil

ed

Bal

lots

Polling Station 1 53 47 39 3


Polling Station 3 ? 39 49 2


If 470 citizens cast votes in the municipal election and they are each only permitted to vote for one

candidate, which of the candidates won the election?

(a) Candice Spencer

(b) Manish Shah

(c) Stuart Knockwood

(d) Not enough information is supplied.

NSSAL 9 Draft

©2015 C. D. Pilmer

24A Nashi is ordering three T-shirts for $14.95 each (before taxes) and one blouse for $32.95 (before taxes)

from a catalog. The shipping charges (before taxes) are listed in the table below.

Price Range for Total

Order

Standard Shipping

(7 to 10 business days)

Priority Shipping

(3 to 5 business days)

Same Day Shipping

(next business day)

$0.01 to $20 $5.95 $9.95 $15.95

$20.01 to $40 $7.95 $12.95 $20.95

$40.01 to $70 $10.95 $16.95 $26.95

$70.01 to $110 $13.95 $21.95 $32.95

Over $110 $16.95 $25.95 $38.95

What is the total cost of Nashi’s purchase (before taxes) if she uses Priority shipping?

$__________

25A The following chart shows how Dave has been slowly raising the price over the last four years of the three

identical apartments that he rents out in his triplex.

Year Rental Price of

Each Apartment

2011 $825 per month

2012 $835 per month

2013 $859 per month

2014 $879 per month

2015 $895 per month

How much more money per year does he bring in for renting the three apartments in 2015 compared to

2013?

$__________

26A At Mike’s Bike Shop, 30 fewer bikes were sold in April than in May. The total number of bikes sold in

April and May at the shop is less than the 115 bikes sold in June. What is the maximum number of bikes

that could have been sold in April?

__________ bikes

NSSAL 10 Draft

©2015 C. D. Pilmer

27A The local home décor store can make customized window blinds. The following chart shows the different

options and prices.

Width of Blinds Type Price per Item Price per Item when 2

or more of the same

item are purchased

24 inches to 35 inches Vinyl Blinds $49.95 $39.95

Aluminum Blinds $54.95 $44.95

Wood Blinds $59.95 $49.95







How much would you pay (before taxes) for three 30 inch wood blinds and one 48 inch vinyl blind?

$__________

28A Tylena owns a bakery where she has one full-time employee and two part-time employees. Her weekly

payroll is shown in the table below.

Employee Employment

Status Hours per Week Hourly Wage

Kiana Full-time 40 $14.35

Colin Part-time 24 $12.15

Kadeer Part-time 16 $11.75

If she increases the full-time employee’s hourly wage by 40 cents and each of the part-time employee’s

hourly wage by 25 cents, how much will her weekly payroll increase?

$__________

29A Order 3

2.5 10 ,4

1.09 10 , 458, 2

9 10 , 6752, 2

3.456 10 from smallest to largest.

_____________, _____________, _____________, _____________, _____________, _____________

30A The numbers in the following sequence are increasing by the same amount each time. Determine the next

number in the sequence. Express the number on scientific notation.

2

9.2 10 , 2

9.4 10 , 2

9.6 10 , 2

9.8 10 ,…

____________________

NSSAL 11 Draft

©2015 C. D. Pilmer

Proportional Reasoning

1A By mass, for every one part of an iceberg exposed above the water line, there are seven parts of the iceberg

hidden below the water line. If you attempting to find the mass of the exposed portion of an iceberg that

totaled 46 tonnes, which one of these expressions would you use?

(a) 1

7 46

x (b)

1

8 46

x

(c) 1 46

7 x (d)

7 46

8 x

2A The local fitness store had a sale on running shoes. They advertised the following.

If you wish to buy two pairs of shoes regularly priced at $49.95 and $34.95, how much in total will you pay

during the sale (before taxes)?

$__________

3A A local hospital examined the types of injuries or

accidents that appeared in their emergency room.

They created the circle graph shown on the right

based on their findings.

(a) What is the ratio of work injuries to respiratory

problems in lowest terms?

(i) 7:4 (ii) 4:7

(iii) 33:100 (iv) 100:33

(b) If 2400 emergency room visits were examined to

create the circle graph, how many more visits

were there for automobile accidents compared to

home injuries?

__________ visits

Running Shoe Sale! Buy one pair – get the second (of equal or

lesser value) for half price.

NSSAL 12 Draft

©2015 C. D. Pilmer

4A A public library looked at the 7200 books in their collection

and classified the books into five categories. The results of

this classification process are reported in the circle graph

shown on the right.

If the library purchased an additional 800 fiction books,

what percentage of the library’s total collection would now

be fiction books?

__________

5A A basketball player had the following statistics during a five game tournament.

Game Free Throw

Attempts

Free Throws

Made

1 8 5

2 11 8

3 14 10

4 7 6

5 10 7

Over the five game tournament, what percentage of this player’s free throw attempts were not made?

__________

6A John works five 8-hour days each week. For part of his job, he repairs gasoline powered lawnmowers.

Over one workweek, he records how much time he spends each day on such repairs. The information is

recorded in the chart below.

Monday Tuesday Wednesday Thursday Friday

1 hr 45 min 2 hr 30 min 2 hr 15 min 3 hr 1 hr 30 min

What fraction of this workweek was spent on gasoline powered lawnmower repairs?

(a) 1

4 (b)

11

40

(c) 9.2

40 (d)

3

10

7A Colin is going on a four day road trip. On the first day of the trip, Colin travelled 650 kilometres. On the

second day, he travelled 780 kilometres. If the distance travelled over these two days represented 40% of

the total distance covered on the road trip, what was the total distance he travelled over the four days?

___________ kilometres

NSSAL 13 Draft

©2015 C. D. Pilmer

8A Richard originally bought a rectangular lot measuring 0.7 km by 0.5 km. Over the next few years he

bought up the surrounding lots until he had one large rectangular lot measuring 2.1 km by 1.5 km. From

the original small lot to the large lot, what is the percentage increase in the area?

__________%

9A Order the numbers 7

10,

2

5,

4

3,

11

12, and

1

8 from smallest to largest.

(a) 4

3,

2

5,

1

8,

7

10,

11

12 (b)

1

8,

7

10,

2

5,

4

3,

11

12

(c) 1

8,

2

5,

4

3,

7

10,

11

12 (d)

1

8,

2

5,

7

10,

11

12,

4

3

10A Order the numbers 75%, 9

16, 40%,

11

12, 1.1, and 0.05 from smallest to largest.

(a) 40%, 0.05, 75%, 9

16,

11

12, 1.1 (b) 0.05, 40%,

9

16, 75%,

11

12, 1.1

(c) 0.05, 9

16, 40%,

11

12, 75%, 1.1 (d) 0.05,

9

16,

11

12, 1.1, 40%, 75%

11A Order the numbers 90%, 3

5, -1.2,

1

10 ,

7

8 , and 8% from smallest to largest.

________, ________, ________, ________, ________, ________

12A Sonja’s first geography test score was 85%. On her second test, her mark dropped by 15%. If there were

80 questions on the second test that were all of the same value, how many of those did she get correct?

(a) 60 (b) 49

(c) 56 (d) 52

13A A hotel is built on a rectangular lot measuring 80 metres by 60 metres. Half of the lot is used for the hotel

structure, which includes the gym and indoor pool facilities. If the pool facilities represents 15% of the

structure, what is area of the pool facilities?

__________ m2

NSSAL 14 Draft

©2015 C. D. Pilmer

14A The gross and take home pays of three employees are provided below.

Gross Pay Take Home Pay

Brian $1280 $921.60

Maurita $1440 $1022.40

Kimi $1120 $828.80

The deductions are what percentage of Kimi’s gross pay?

__________%

15A Hinto and his boss Sarah are house painters. For every $2 that Hinto makes, Sarah makes $3. If they make

$3560 for painting a house, how much does Sarah make on this job?

$__________

16A A liquidation store has 20 designer winter jackets. They normally sell each winter jacket for $150. To get

rid of this stock before spring arrives, they take 10% off the current price each week until all are sold. If

25% of the stock sells in week one of the sale and 75% sells in week two, how much money in total did the

store bring in on the sale of these winter jackets?

$__________

17A A new hardware store is

opening and they need to hire

staff for the 40 different job

openings. They classified the

job openings into 5 categories

and looked at the number of

openings in each category and

the number of applications they

received for those openings.

All of this information is

captured in the graph to the

right.

(a) Which category of job had

a ratio of 7 applicants for

every 3 openings?

_____________________________

(b) Which category of job had 3.5 times more applications than applications for the accounting positions?

_____________________________

NSSAL 15 Draft

©2015 C. D. Pilmer

18A Each year, about 7

20 of a company’s employees take advantage of the optional life insurance policy. What

percentage of the employees do not participate in this option?

__________%

19A A particular store marks up all its products by 30% after they are purchased from a supplier. If the store is

selling a product $58.95, how much did the store pay for the product from the supplier?

$__________

20A A store buys T-shirts from its suppliers for $7.80 each. The store sells those same shirts for $10.95 to its

customers. What percentage of the selling price is profit?

__________%

21A Margo paid $8.24 in sales tax on a purchase. If she paid 15% sales tax, what was the selling of the item

(i.e. price before taxes)?

$__________

22A A company, that sells electrical supplies, looked at the items purchased by a particular electrical contractor,

L. Theriault Electric, during the month of May. The information is found in the table below.

Purchases by L. Theriault Electric in May

Item # Description Quantity

34152 Switch, DPDT 240v 100a 30

34078 Switch, DPDT 240v 50a 24

28345 Circuit Breaker, SP 120v 30a 48

32583 Switch, SPDT 240v 100a 60

28361 Circuit Breaker, DP 120v, 15a 72

The combined sales of items 34078 and 28361 to L. Theriault Electric equal what percentage of the total

items sold to this contractor?

__________%

23A What fraction, decimal and percent are represented by the shaded portion

of the trapezoid?

(a) 1

2, 0.5, 50% (b)

2

5, 0.4, 40%

(c) 1

3, 0.3 ,

1

333 % (d)

1

2, 0.2, 20%

NSSAL 16 Draft

©2015 C. D. Pilmer

24A Of all the items produced at the factory on Wednesday, 9

10 of them passed inspection. If 2070 passed

inspection, how many were produced that day?

__________ items

25A A box, which is a rectangular-based prism, has a length of 30 cm. It has a width that

is two-thirds of the length. The height of box is five-sixths of the length. What is the

volume of the box?

__________ cm3

26A A positive number less than or equal to 1

2 is represented by x. Four expressions involving x are provided

below.

1

x 1x

2

5

x 2

x

Which one of the following series lists the expressions from smallest to largest?

(a) 2

5

x,

1

x, 1x ,

2x

(b) 1

x,

2

5

x, 1x ,

2x

(c) 1x , 2

x , 2

5

x,

1

x

(d) 2

x , 1x , 1

x,

2

5

x

27A If half the class are girls, and 20% of the girls speak French, what fraction of the class are French-speaking

girls?

____________

28A If 2 9

4x , then determine x3 and express it as a mixed number.

__________

29A Lise works 6 hours per day on Monday, Tuesday, and Thursday and 7.5 hours per day on Wednesday and

Friday. She does not work on Saturday and Sunday. If she earns $387.75 per week, what is her average

earning rate in dollars per hour?

$__________ per hour

NSSAL 17 Draft

©2015 C. D. Pilmer

30A A hole with a diameter of 5

8 inches is being drilled into the center of a rectangular steel

plate that measures 23

8 inches by 1

3

4 inches. What is the closest distance between the

edge of the hole and the edge of the steel plate?

__________ inches

31A Determine the missing measure.

_________ inches

32A Four squares having side lengths of 8

31 inches are cut from the corners of a

rectangular sheet of metal measuring 9 inches by 7 inches. After the four

squares are removed, the sheet metal can be folded to create a box that is open

on the top. What are the dimensions of the box?

__________ inches by _________ inches by _________ inches

?

NSSAL 18 Draft

©2015 C. D. Pilmer

Statistics and Probability

1A Jacob ran the 100 metre dash in different competitions in 2013 and 2014. His times for each race are

shown in the chart below. All times are measured in seconds.

2013 11.85 12.32 11.97 12.06

2014 12.04 11.78 11.45 12.01

What is the difference in his mean times between 2013 and 2014?

__________ seconds

2A For one week in January, Praveen recorded the daytime temperature lows. However, he forgot to record

Wednesday’s daytime low.

Sun Mon Tues Wed Thurs Fri Sat

-4 oC -8 oC -3 oC ? 1 oC -4 oC -11 oC

If he is knows that the average daytime temperature low for that week is -5oC, then what was the

temperature low for the day he missed?

__________oC

3A You are told that a golfer’s scores for six rounds of golf have been listed from lowest to highest. However,

the lowest and highest scores are not provided.

? 76 82 88 93 ?

Which one of these statements is correct?

(a) The mean of the golfer’s score for six rounds of golf can be determined with the information that was

provided above.

(b) The mode of the golfer’s score for six rounds of golf can be determined with the information that was

provided above.

(c) The median of the golfer’s score for six rounds of golf can be determined with the information that was

provided above.

(d) The mean, median, and mode of the golfer’s score for six rounds of golf cannot be determined with the

information that was provided above.

4A Sapphire started a new job in the sales division of a company. The company tracked her daily sales over

the first four weeks and recorded the information in the table below.

Mon Tues Wed Thurs Fri

Workweek 1 $263 $386 $345 $437 $529

Workweek 2 $486 $515 $624 $745 $890

Workweek 3 $649 $809 $1025 $1181 $1096

Workweek 4 $869 $1167 $1384 $1538 $1342

What is the difference in her mean sales on workweek one compared to her mean sales on workweek

four?

$___________

NSSAL 19 Draft

©2015 C. D. Pilmer

5A How many different three-digit numbers can you make if the hundreds digit is a 1 or 2, and the ones digit is

odd?

(a) 100 (b) 90

(c) 60 (d) 10

6A A bag contains 5 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of randomly

pulling a green marble followed by a red marble from the bag if you do not return the first marble to the

bag after the first pull?

(a) 31

36 (b)

28

33

(c) 5

36 (d)

5

33

7A Three adults exercised each day over the last 10 days. The number of minutes that each exercised each day

can be found in the table below.

Nasrin 40 50 55 30 25 25 35 60 70 65

Michael 30 20 20 40 60 70 75 55 45 90

Rana 30 40 50 40 45 60 90 90 75 65

What is median number of minutes that Rana exercised over this 10 day period?

___________ minutes

8A The bar graph shows the

snowfall for five Nova Scotian

communities over three days.

(a) What is the mean snowfall

for these five communities

on Friday?

__________ centimetres

(b) What is the snowfall

range for these five

communities on

Wednesday?


NSSAL 20 Draft

©2015 C. D. Pilmer

9A Six adults are asked to read the same article in a magazine. The mean reading time for the article is 182

seconds. If four of the adults have reading times of 146, 168, 185, and 213 seconds, which one of these

statements describes the reading times of the other two adults?

(a) The two adults each have a reading time of 190 seconds.

(b) One of the adults has a reading time of 178 seconds and the other has a reading time of 202 seconds.

(c) The combined reading time of the two adults is 380 seconds.

(d) None of the above statements is correct.

10A A telecommunications company conducted a survey in the area that they serve. They asked people of

different ages if they use a computer and/or use a smartphone outside of the work or school environment.

The graph below describes the results the company obtained.

(a) Which one of these conclusions can be made based on the information found in this graph?

(i) In the near future, there is a strong likelihood that smartphone use will be greater than computer

use?

(ii) During the time of the survey, the percentage of computer usage is higher than the percentage of

smartphone usage within each of the five age ranges captured in the survey.

(iii) People older than 65 years of age use smartphones the least.

(iv) Computer usage is higher than smartphone usage because computers are generally an easier type

of technology to master.

(b) If 300 people between the ages of 45 and 54 were interviewed for the survey, how many responded

that they use a smartphone outside of the work or school environment?

__________ people

(c) If the 2000 people were interviewed for the survey, how many more 25 to 34 year olds than 35 to 44

year olds use a computer outside of the work or school environment?

(i) 4 people

(ii) 80 people

(iii) 180 people

(iv) Cannot be determined; not enough information is provided.

NSSAL 21 Draft

©2015 C. D. Pilmer

11A The graph below shows the low and high temperatures for five Nova Scotian communities on March 25,

2015.

What was the greatest range in temperatures experienced by one of these five communities on this date?

__________oC

12A Final numerical and letter grades for a math class are supplied in the card below.

Student Final Numerical

Grade

Final Letter

Grade

Marcus A. 84% A-

Tiva C. 98% A+

Jun F. 75% B

Catherine G. 71% B-

Rana J. 88% A

Scott M. 67% C+

Sapphire R. 91% A+

Charu T. 78% B+

What is the difference between Catherine G’s numerical grade and the median numerical grade for this

class?

__________%

NSSAL 22 Draft

©2015 C. D. Pilmer

13A In a phone survey, 35 participants were asked to indicate how many cats and dogs they presently own. The

results are shown in the table below.

Number of Cats Tally Number of Dogs Tally

0

0

1

1

2

2

3

3

4 or more

4 or more

What is the mode of the data set concerned with dog ownership?

__________

14A A bag contains 20 marbles. They come in three different colors: blue, red and yellow.

The probability of drawing a blue marble on a single draw is 0.30.

The probability of drawing a red marble on a single draw is 0.45.

How many of each marble are there?

__________ blue marbles __________ red marbles __________ yellow marbles

15A A survey asked 300 people which of the three primary colors, red, yellow or blue, was their favorite. Blue

was selected by 2

5 of the people, red was selected by

5

12 of the people, and the remainder selected yellow.

How many of the 300 selected yellow?

__________ people

16A If x is chosen at random from the set {2, 3, 4} and y is chosen at random from the set {6, 7, 8}, what is the

probability, rounded to the nearest hundredth, that x y is divisible by 3?

(a) 0.60 (b) 0.67

(c) 0.56 (d) 0.44

17A A number is randomly chosen from first 5 positive integers. What is the probability that the number is less

than the mean?

__________

18A The mean of 100 observations was calculated as 36 but it turned out that one of the observations was

misread as 83 but in reality it was 53. What will be the correct mean?

__________

NSSAL 23 Draft

©2015 C. D. Pilmer

19A The number of part-time and full-time staff at a particular company changed significantly between 2007

and 2012.

(a) Which one of these statement best describes these changes?

(i) During this time, both the part-time and full-time staff numbers increased resulting in an increase

in the total number of employees from year to year.

(ii) During this time, the number of full-time employees initially increased then decreased, but the

steady increase in the number of part-time employees resulted in an increase in the total number

of employees from year to year.

(iii) During this time, the number of part-time employees initially increased then decreased. There

was a steady increase in the number of full-time employees, yet the total number of employees

decreased from year to year.

(iv) During this time, both the number of full-time and part-time employees initially increased then

decreased. This resulted in a gradual increase in the total number of employees from year to

year.

(b) What is the ratio of part-time staff to full-time staff in 2008?

(i) 1 : 2 (ii) 2 : 1

(iii) 1 : 3 (iv) 3 : 1

(c) What is the approximate percentage increase in the number of full-time staff between 2009 and 2010?

(i) 30% (ii) 52%

(iii) 8% (iv) 17%

20A A bag contains 30 ping pong balls numbered 1 through 30. If a ball is chosen at random from the bag, what

is the probability of not drawing an odd numbered ping pong ball that is greater than or equal to 21?

(a) 21

30 (b)

13

15

(c) 5

6 (d)

1

6

NSSAL 24 Draft

©2015 C. D. Pilmer

21A Two towns conducted two surveys regarding methods of transportation their citizens use to get to work.

Town A surveyed 1200 people and generated the first circle graph. Town B surveyed 800 people and

generated the second circle graph.

Town A: 1200 people surveyed Town B: 800 people surveyed

(a) What is the ratio of the number of people in Town A who drive to work to the number of people in

Town B who drive to work?

(i) 211

148 (ii)

40

37 (iii)

60

37 (iv)

3

2

(b) Two circle graphs were used to display the findings of these two surveys. Which of the following

graphical representations cannot be used to display these same findings?

(i) Two separate bar graphs

(ii) A double bar graph

(iii) A line graph

(iv) Both (i) and (ii)

(c) A third town, Town C, has very similar statistics as Town B except 2% fewer people drive their own

vehicle to work and 2% more walk to work. If 900 people were interviewed for Town C’s survey, how

many stated that they drive their own vehicle to work?

__________ people

NSSAL 25 Draft

©2015 C. D. Pilmer

Measurement

1A A wheel with a radius of 15 centimetres is rolled along the ground so that it completes 6 revolutions. How

far does the wheel travel?

(a) 90 cm (b) 5 cm

(c) 180 cm (d) 1350 cm

2A As shown on the right, three identical circles are surrounded

snuggly by a rectangle. Which expression describes the area of

the resulting shaded area?

(a) 16 6r r

(b) 2 2

16 9r r

(c) 2 2

3 3r r

(d) 2 2

12 3r r

3A A grain silo, which is comprised of half a sphere and a cylinder, is shown

on the right. If a can of paint covers 10 m2, how many cans of paint are

needed to cover the outside of the silo?

__________ cans

4A A square-based pyramid has a volume of 720 cm3. If the height of the pyramid is 15 cm, what is the length

of each side of the base?

__________ cm

5A Harold is wrapping a rectangular box with wrapping paper. The box measures 50 cm by 40 cm by 30 cm.

How much wrapping paper will he need if he also needs 20% more for folding and taping purposes?

(a) 9400 cm2 (b) 60 000 cm2

(c) 72 000 cm2 (d) 11 280 cm2

r

18 m

4 m

NSSAL 26 Draft

©2015 C. D. Pilmer

6A Three identical circles fit snuggly into a larger circle in the manner

shown on the right. The dotted line passes through the center of all four

circles. What is the ratio of the shaded region to non-shaded region?

(a) 2

1

(b) 3

1

(c) 7

2

(d) 5

2

7A The two figures on the right have the same

area. The first figure is a rectangle and the

second figure is a right triangle. Find the

missing sides of the triangle.

x = __________ cm

y = __________ cm

8A The distances around the outside of these two figures, the

circle and rectangle, are the same. If so, find the missing

dimension of the rectangle.

x = __________ cm

9A You are going to use the small cylinder to

transfer water to the large cylinder. If you can

fill the small cylinder to 90% of its capacity, how

many times will transfer water from the small

cylinder to the large cylinder to completely fill

the large cylinder?

__________ times

32 cm

12 cm

40 cm

x y

4.3 cm x

10.5 cm

20 cm

34 cm

30 cm

12 cm

NSSAL 27 Draft

©2015 C. D. Pilmer

10A Four identical balls fit snuggly in a cylindrical can. The diameter of each

ball is 7 cm. What is the volume of the cylindrical can?

__________ cm3

11A A spherical balloon is being blown up. At one point, its diameter is 30 cm. A few seconds later, its

diameter is 42 cm. What is the percent increase in the volume of the spherical balloon during this time

span?

__________%

12A The dome being designed for the top of a new building is half a sphere. The dome was

originally designed to have a radius of 25 metres, but the architect later decided to

increase that radius by 20%. What is the ratio of the surface area of the new dome to

the surface area of the original dome?

(a) 6

5 (b)

36

25

(c) 32

25 (d)

4

5

13A A sector is a pie-shaped portion of a circle. Determine the area of the sector

(the shaded region) on the right.

__________cm2

14A Jim leaves the house at 10:45 a.m. and drives at an average speed of 80 km/h. How far has he travelled by

2:30 p.m?

___________kilometres

7 cm

120o

3.7 cm

NSSAL 28 Draft

©2015 C. D. Pilmer

15A Three friends participated in a two day bicycle race where they travelled 70 kilometres on the first day and

made the return trip of 70 kilometres on the second day. Their times for each day are provided in the chart

below.

First Day Second Day

Sarah 2 hr 27 min 2 hr 23 min

Marc 2 hr 22 min 2 hr 18 min

Nashi 2 hr 31 min 2 hr 29 min

What was Marc’s average speed over the two day bicycle race in kilometres per hour?

__________km/h

16A The heights of three different saplings are recorded over a five month period in the chart below.

Heights of Saplings

May June July August September

Cherry 8 cm 11 cm 15 cm 20 cm 23 cm

Oak 10 cm 15 cm 22 cm 31 cm 37 cm

Maple 9 cm 13 cm 20 cm 28 cm 32 cm

What is the difference in the oak sapling’s height in June and its height in September in metres?

__________ metres

17A The smaller circle’s area is 3

5 that of the larger circle. If the

radius of the larger circle is 5.2 cm, what is the radius of the

smaller circle?

__________ cm

18A A square and isosceles triangle share a side. This shared side is 20 cm long. The area

of the triangle is 65% of that of the square. Find the height, h, of the isosceles

triangle.

__________ cm

h

5.2 cm

NSSAL 29 Draft

©2015 C. D. Pilmer

19A The radius of a cone is changed from 2 metres to 3 metres,

but the height remains the same at 6 metres. What is the

percentage increase in the volume of the cone?

__________%

20A Potash is mined and used mostly in the making of fertilizers. The eight counties with the largest reserves of

potash are listed in the table below.

Country Reserves

Canada 94.4 10 tonnes

Russia 93.3 10 tonnes

Belarus 87.5 10 tonnes

Brazil 83.0 10 tonnes

China 82.1 10 tonnes

Germany 81.5 10 tonnes

United States 81.3 10 tonnes

Chile 77.0 10 tonnes

The combined potash reserves for Canada and Russia are how much larger than the combined reserves for

the United States and Chile? Express the answer without using scientific notation.

____________________ tonnes

21A The masses of the planets and sun are shown in the first table below. The other table shows the average

distance between the planets and the sun

Planet or Sun Mass

Planet Distance from

Sun

Sun 301.99 10 kg Mercury 7

5.79 10 km

Jupiter 271.90 10 kg Venus 8

1.08 10 km

Saturn 265.68 10 kg Earth 8

1.50 10 km

Neptune 261.02 10 kg Mars 8

2.28 10 km

Uranus 258.68 10 kg Jupiter 8

7.79 10 km

Earth 245.97 10 kg Saturn 9

1.43 10 km

Venus 244.87 10 kg Uranus 9

2.87 10 km

Mars 236.42 10 kg Neptune 9

4.50 10 km

Mercury 233.30 10 kg

About how many times greater is the mass of the Sun than the mass of Venus?

(a) 4 000 000 (b) 400 000

(c) 40 000 (d) 4 000

NSSAL 30 Draft

©2015 C. D. Pilmer

22A What is the volume of the object on the right?

(a) 1920 cm3

(b) 305 cm3

(c) 322 cm3


23A The scale on a map is 1 : 200 000. Two towns are 12 cm apart on the map. How far apart are the two

towns in kilometres?

__________ km

24A The rectangular slab for a building measures 48 metres by 24 metres. On the plans for that same building,

the slab measures 60 centimetres by 30 centrimetres. What is the scale of the plans?

(a) 1 : 800 (b) 1 : 125

(c) 1 : 60 (d) 1 : 80

25A Bob is 80 kilometres ahead moving at 90 kilometres per hour, and Chantelle is traveling at 110 kilometres

per hour. How long for Chantelle to catch Bob?

__________ hours

26A How many square tiles, each measuring 400 cm2, will be needed to cover a floor of dimension 3.8 m by 2.6

m?

__________ tiles

27A What is the largest area that can be totally surrounded by 80 metres of fencing?

(a) 509 m2 (b) 12.7 m2

(c) 400 m2 (d) 536 m2

28A A circle is inscribed in a square of area 9 cm2. What will be the area of the circle?

__________ cm2

12 cm

5 cm 5 cm

8 cm

NSSAL 31 Draft

©2015 C. D. Pilmer

Graphs and Functions 1A If the point (2, -3) is reflected in the x-axis, what are the coordinates of the image point?

(a) (2, 3) (b) (-3, 2)

(c) (-2, -3) (d) (-2, 3)

2A There are numerous quadratic functions that have the x-intercepts -2 and 3. Which one of these equations

would describe all of those possible quadratic functions? Please note that the variable a represents any real

number other than zero.

(a) 26y a x x (b) 2

6y a x x

(c) 26y a x (d) 2

5 6y a x x

3A The quadratic functions 2

6y x x a and 2

2y x x b have been graphed on the same coordinate

system. The values for the constants a and b have deliberately not been supplied.

Use this information to solve the quadratic equation 2

1 6x x a . There may be one solution, two

solutions, or no solution to this question.

____________________________

2 6y x x a

2 2y x x b

NSSAL 32 Draft

©2015 C. D. Pilmer

4A Three linear functions have been plotted on the same coordinate system. Two of the three functions have

the equations x y a and 2x y b , where the values for the constants a and b have deliberately not

been supplied.

Use this information to solve the following system of equations.

x y a and 2x y b

(a) (-1, -1) (b) (-4, 2)

(c) (2, 5) (d) (0, 1)

5A In the beginning, a tower comprised of six blocks was constructed. Every minute, a new row of blocks was

added in the manner shown below.

t = 0 minutes t = 1 minute t = 2 minutes t = 3 minutes

The total number of bricks in the tower is a function of time. Determine the two numbers that should be

entered into the equation below which describes the number of blocks, b, in terms of the time, t, in minutes.

b = _______t + _______

NSSAL 33 Draft

©2015 C. D. Pilmer

6A A large container, which can hold 20 litres of water when filled to the brim, is being drained at a constant

rate. The diagrams show those changes in one minute intervals.

time = 0 minutes time = 1 minute time = 2 minutes time = 3 minutes

The number of litres of water in the container is a function of time. Determine the two numbers that should

be entered into the equation below where the amount of water, w, measured in litres is expressed in terms

of time, t, measured in minutes.

w = _______t + _______

7A A ball is thrown vertically into the air. The ball’s height above the ground is on the vertical axis. Time is

on the horizontal axis.

(a) (b) (c) (d)

8A Tyrus has been removing water from a cylindrical

steel drum using a water pump. The pump has three

modes; off, slow and fast. The graph shows the

relationship between the depth of the water in the

drum and time.

(a) By how much does the depth of the water

decrease in the 10 to 15 minute interval?


(b) On average, what is the rate of change in the depth

of the water with respect to time during this 20

minute interval?

__________centimetres per minute

10 L 10 L 10 L 10 L

0

20

40

60

80

100

120

0 5 10 15 20

Time in Minutes

Dep

th o

f W

ate

r in

Cen

tim

etr

es

NSSAL 34 Draft

©2015 C. D. Pilmer

9A Which one of these tables of values corresponds to a linear function (i.e. a function that can be written in

the form y mx b , where m and b are constants.)?

(a) (b) (c) (d)

x y x y x y x y

-4 5 -1.5 1 -1 2 -4 9

-1 7 -1 2 0 3 -2 5

0 9 -0.5 4 1 5 0 1

2 11 0 8 2 8 2 -3

6 13 0.5 16 3 12 4 -7

11 15 1 32 4 17 6 -11

10A Which equation is equivalent to the equation 2 6y x ?

(a) 2 6x y (b) 1

23x y

(c) 1

23x y (d) 2 6x y

11A The graph of the linear function, f, is shown on the

right.

(a) Determine f(-3).

__________

(b) Which one of the following equations represents

the straight line shown on the right?

(i) 4 3 6x y (ii) 4 3 6x y

(iii) 3 4 8x y (iv) 3 4 8x y

12A If 3 4f x x , for what value of x does 14f x ?

(a) -38 (b) 6

(c) 46 (d) 1

33

13A If 24 5f x x x , find 3f .

__________

14A If 23 2xf x x , for what values of x does 2f x ?

x = __________ or x = __________

NSSAL 35 Draft

©2015 C. D. Pilmer

15A If the point (-3, 6) is horizontally translated 5 units and vertically translated 2 units, what would be the new

coordinates?

( _______, _______ )

16A Three points representing three of the four corners

of a four-sided figure have been provided. The

four-sided figure is a parallelogram, but not a

rectangle. If you are restricted to the region shown

on the coordinate system to the right, determine the

coordinates of the fourth corner.

( _______, _______ )

17A A triangle is provided on the right. Its vertices are at

(-3, 4), (4, 4), and (-1,-3). If each grid on the

coordinate system represents 1 cm by 1 cm, determine

the perimeter of the triangle to the nearest tenth of a

centimetre (i.e. to one decimal point).

__________ cm

NSSAL 36 Draft

©2015 C. D. Pilmer

18A A right angle triangle has been drawn on a coordinate

system where each grid represents 1 cm by 1 cm. Its

vertices are at (1, 6), (5, 6), and (5, 1).

(a) What is the perimeter of the triangle?

__________ cm

(b) If this triangle is enlarged such that its area

increases by 50%, what would be the area of this

enlarged triangle?

__________ cm2

19A Which one of these points lies on the linear function 2

43

y x ?

(a) (-4, 12) (b) (9, -2)

(c) (-6, 0) (d) (-15, 0)

20A Janice needs some gravel for her driveway. She can

purchase it from two different companies. The two

companies charge different trucking fees and different rates

for each tonne of gravel. The following graphs show the

relationship between the cost, c, in dollars and the number, n,

of tonnes of gravel ordered for the two companies.

(a) Determine the equation that describes the cost of the

gravel for Company A in terms of the number of tonnes

of gravel ordered.

c = _______n + _______

(b) When is it more economical to order from Company A?

(i) n > 3 (ii) n > 55

(iii) 10 < n < 55 (iv) 0 < n < 3

0

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

100

105

110

0 1 2 3 4 5 6 7 8 9

Tonnes of Gravel

Co

st

in D

oll

ars

Company A

Company B

NSSAL 37 Draft

©2015 C. D. Pilmer

21A A bacteria population is growing in a Petri dish. The

concentration of bacteria per square centimeter is on the

vertical axis. The time, in hours, is on the horizontal axis.

(a) How long does it take for the population of bacteria to

double in size?

__________ hours

(b) What is the concentration of bacteria after four hours?

__________ bacteria per square centimetre

22A What are the coordinates of the point shared by the linear functions 2 11y x and 3

32

y x ?

( _______, _______ )

23A If 5 7xf x and 3 5g x x , for what value of x does f x g x ?

__________

0

20

40

60

80

100

120

140

160

180

200

220

240

0 1 2 3 4 5 6

Time in Hours

Co

ncen

trati

on

in

Bacte

ria p

er

Sq

uare

Cen

tim

etr

e

NSSAL 38 Draft

©2015 C. D. Pilmer

Algebra 1A The dimensions of the rectangle are 3 5n cm and 2 3n cm. If the

perimeter of the rectangle is 96 cm, what is the value of n?

__________ cm

2A Asra is packing smaller boxes of identical size into a larger

box. The smaller boxes are cubes with a side length of 2n.

The larger box has the dimensions 14n by 10n by 6n. Which

expression describes the numbers of smaller boxes that will

fit into the larger box?

(a) 420n2

(b) 15

(c) 30n

(d) 105

3A If you are given the volume of a sphere and asked to find the radius of the sphere, which one of these

formulas would allow you to do so?

(a) 4

3

Vr

(b) 3

3

4

Vr

(c) 33

4

Vr

(d) 3

4

3

Vr

4A The formula d st describes the relationship amongst distance (d), speed (s), and time (t). If you have to

travel 385 kilometres, how much time, in hours, would you save travelling at 110 kilometres per hour

compared to 100 kilometres per hour?

__________hours

5A A child’s admission to an amusement park is $1 less than half of an adult’s admission. If a child and adult

admission total $41.75, which one of these equations could be used to calculate the cost, c, of an adult

admission?

(a) 2 1 41.75c c (b) 2 1 41.75c c

(c) 1

1 41.752

c c (d) 1

1 41.752

c c

6A Yisha is purchasing gravel for her driveway. The gravel company charges $48 per tonne plus a flat

delivery fee of $62. If she has $470 to spend on gravel and delivery, which equation will allow her to

determine the number of tonnes, t, she can purchase?

(a) 62 48 470t (b) 48 62 470t

(c) 470 48 62t (d) 470 62 48t

NSSAL 39 Draft

©2015 C. D. Pilmer

7A Hamid works in a home appliance store. He can either earn $280 per week plus a 10% commission on his

sales, or $360 per week plus 5% commission on his sales. What do Hamid’s sales have to be in order for

the two earning options to pay the same amount?

$__________

8A Candice is 2 years less than triple her daughter’s age. If their ages total 46 years, how old is Candice?

___________ years

9A If 7 2 56k

, determine the value of k.

__________

10A If 2 10 6x y , then what does 5

2x y

equal?

(a) 2 (b) 4

(c) 6 (d) 8

11A If 2

3 18x x , what are the possible values for x?

(a) -9 or -2 (b) -6 or 3

(c) 9 or 2 (d) 6 or -3

12A The sides of a rectangle are represented by the expressions 3x and 1x . If the area of the rectangle is 96 cm2, what is the value of x?

__________ cm

13A The variable x in the expression 4 3 2 9x x is represented on the number line below by:

(a) point B and all points less than B (b) all points less than point B

(c) point A and all points greater than A (d) all points less than point C

14A The area of the rectangle is represented by the expression 2

2 24x x . If the length of the rectangle is

represented by the expression 4x , what expression would represent the width of the rectangle?

_______________

15A If 16a b , 11b c and 15a c , then what will be the average of a, b and c?

(a) 10 (b) 8

(c) 7 (d) 9

3 1 0 -1 2 -3 -2 -4 -5 -6 -7 -8

A B C

96 cm2

NSSAL 40 Draft

©2015 C. D. Pilmer

16A What will be the value of k in the equation 2

2 6 0x kx if ‘2’ is the root of this equation?

__________

17A The average of five consecutive numbers is 24. What will be largest number of these?

__________

18A If the sum of two numbers is -3 and the difference of the same two numbers is 11, what will be the product

of these two numbers?

__________

19 A The dimensions of the figure are shown.

(a) Which one of these expressions represents the perimeter of the figure?

(i) 10x + 7y (ii) 24xy

(iii) 17xy (iv) 14x + 10y

(b) Which one of these expressions represents the area of the figure?

(i) 24xy (ii) 29xy

(iii) 23xy (iv) 17xy

20A When 15 is added to the sum of two consecutive numbers, the answer is 62. What are the two consecutive

numbers?

__________ and __________

21A With the expression 2

43

x , if x is decreased by 12, then the expression:

(a) increases by 8

(b) decreases by 9

(c) increases by 4

(d) decreases by 6

22A With the expression 2 3x

, if x is increased by 2, then the expression increases by a factor of:

(a) 26 (b) 9 (c) 6 (d) 18

23A If 2a x , 3b x , and 4

5c x , then express

2 210a b c in terms of x.

(a) 2

3 14 9x x (b) 2

5 8 9x x

(c) 2

3 8 9x x (d) 2

5 14 9x x

3x

5y

7x

2y

NSSAL 41 Draft

©2015 C. D. Pilmer

24A Solve the equation 2

3 4 5x x .

(a) x = -1.854 or x = 4.854 (b) x = 1.854 or x = -4.854

(c) x = 4 or x = -1 (d) x = -4 or x = 1

25A Where does the quadratic function 2

3 10y x x intersect the x-axis?

(a) (5, 0) and (-2, 0) (b) (0, -10)

(c) (-10, 0) (d) (-5, 0) and (2, 0)

26A Where is the linear function 3 6y x above the x-axis?

(a) x > -6 (b) x > 2

(c) x < -6 (d) x < 2

27A An angle, in degrees, is represented by x. If its supplementary angle, in degrees, is represented by the

expression 3x + 20, what is the value of x?

__________ o

NSSAL 42 Draft

©2015 C. D. Pilmer

Geometry and Trigonometry 1A Two planes leave the same airport at the same time. One travels north at 240 km/h and the second flies

west at 180 km/h. How far apart will the planes be in 90 minutes?

__________ km

2A A right triangular lot is shown below. If you travelled 220 metres around the outside of the lot, what

percentage of the perimeter have you travelled?

___________%

3A Two brothers are dividing the rectangular family property

into two equal parts in the manner shown on the diagram. If

they wish the put a fence along that dividing line, how long

will the fence be (to the nearest metre)?

__________ metres

4A A diagram of Angela’s property is shown on the right. She has all but

one dimension for her property. If she needs to put fencing around the

property, how much will she need?

___________ metres

5A Determine the length of x to the nearest centimetre.

__________ cm

80 m

130 m

fence

20 m

20 m

40 m

65 m

65 m

20 m

19 m

10 m

10 cm 18 cm

17 cm 27 cm

x

NSSAL 43 Draft

©2015 C. D. Pilmer

6A An angle is equal to one third of its supplement. What would be the measure of that angle in degrees?

__________o

7A If the difference between the two acute angles of a right triangle is 10ᵒ, what is the ratio of the smaller acute

angle to the larger acute triangle in simplest terms?

__________

8A Marcus wants to know the width of a river but

he has no means to take that measurement

directly. He decides to make some

measurements along the shoreline to

accomplish this task. The distance from A to B

is 68 m. The distance from B to C is 49 m. The

distance from B to D is 55 m. Determine the

width of the river.

(a) 38.6 m (b) 76.3 m

(c) 60.6 m (d) 34.7 m

9A In a certain right-angle triangle, one acute angle is two-thirds of the right-angle. What is the measure of the

other acute triangle in degrees?

__________o

10A In the diagram, CD is 30% larger than EB. If EB measures 40

centimetres and AE measures 35 centimetres, determine the

length of AD.


11A The circle is made up of six sectors: three shaded sectors and three non-shaded

sectors. If the central angle of each shaded sector is 70o, what fraction of the

circle is not shaded?

(a) 7

12 (b)

5

12

(c) 11

36 (d)

17

36

A B C

D

River

A

B E

D C

70o 70o

70o

NSSAL 44 Draft

©2015 C. D. Pilmer

12A What is the measure of EFG ? __________o

13A What is the measure of DFG ?

__________o

14A What is the measure of IMJ ?

__________o

15A If NP = 6.7 cm and OP = 5.5 cm, what is the

length of NO?

__________ cm

16A Two trees stand side by side on level ground. The smaller tree is 3 metres tall and casts a shadow 4.2

metres long. At the same time, the larger tree casts a shadow 5.6 metres long. How tall is the larger tree?

__________ metres

D E

G

100o

120o

F

C

35o

D

F

G

30o

E

I

M

H

L

K

80o

140o

N

J

N

O

Q

P

125o

35o

NSSAL 45 Draft

©2015 C. D. Pilmer

Answers

We have identified the difficulty level of each question (1 – easiest, 3 – challenging). We have also indicated

whether the question is representative of the 2002 test series or the 2014 test series. We are working under the

assumption that anything indicative of the 2002 test series will still likely appear in the 2014 test series.

Word Problems: Whole Numbers and Money (pages 1 to 10)

1A Level 2 2002 Test Series

(b) Lana has one-fourth the number of keys as compared to Ajay.


(a) 10


(d) Dan is younger than Genevieve by 4 years. If he is 52 years old, then Genevieve is 48 years old.


(a) 40, 30, 70


(c) Rajani ran 6 kilometres per day over 7 days. In that period of time she ran 42 kilometres.


(b) between 8 and 9


(d) 21


300


1350


180


(c) $400


(a) $295


(c) 945 130 45

4


(a) 10 5 12.70 1.91

NSSAL 46 Draft

©2015 C. D. Pilmer


(d) 12 90 2 480


(d) output 3 input 4


$153


$77


$80


$344


48 mm


(a) 5oC

(b) 19 oC


(a) Candice Spencer


$99.75


$1296


42 bikes


$239.80


$26


2

3.456 10 , 458, 2

9 10 , 3

2.5 10 , 6752, 4

1.09 10


3

1 10

NSSAL 47 Draft

©2015 C. D. Pilmer

Proportional Reasoning (pages 11 to 17)


(b) 1

8 46

x


$67.43


(a) (i) 7:4

(b) 264 visits


44.2% or 44%


28%


(b) 11

40


3575 kilometres


800%


(d) 1

8,

2

5,

7

10,

11

12,

4

3


(b) 0.05, 40%, 9

16, 75%,

11

12, 1.1


-1.2, 7

8 ,

1

10 , 8%,

3

5, 90%


(c) 56


360 m2


26%


$2136

NSSAL 48 Draft

©2015 C. D. Pilmer


$2497.50


(a) Checkout

(b) Floor Staff


65%


$45.35


29%


$55


41%


(b) 2

5, 0.4, 40%


2300 items


15 000 cm3


(d) 2

x , 1x , 1

x,

2

5

x


1

10


33

8


$11.75 per hour


9

16 inches

NSSAL 49 Draft

©2015 C. D. Pilmer


16

74 inches


4

16 inches by

4

14 inches by

8

31 inches

Statistics and Probability (pages 18 to 24)


0.23 seconds


-6oC


(c) The median of the golfer’s score for six rounds of golf can be determined with the information that was

provided above.


$868


(a) 100


(d) 5

33


55 minutes

8A Level 2 2002 TestSeries

(a) 11 centimetres

(b) 25 centimetres


(c) The combined reading time of the two adults is 380 seconds.

10. Level 2 2002 Test Series

(a) (ii) During the time of the survey, the percentage of computer usage is higher than the percentage of

smartphone usage within each of the five age ranges captured in the survey.

(b) 204 people

(c) (iv) Cannot be determined; not enough information is provided.


21oC


10%

NSSAL 50 Draft

©2015 C. D. Pilmer


2


6 blue marbles 9 red marbles 5 yellow marbles


55 people


(c) 0.56


0.4


35.7


(a) (ii) During this time, the number of full-time employees initially increased then decreased, but the

steady increase in the number of part-time employees resulted in an increase in the total number

of employees from year to year.

(b) (i) 1 : 2

(c) (iv) 17%


(c) 5

6


(a) (iii) 60

37

(b) (iii) A line graph

(c) 315 people

Measurement (pages 25 to 30)


(c) 180 cm


(d) 2 2

12 3r r


56 cans


12 cm


(d) 11 280 cm2

NSSAL 51 Draft

©2015 C. D. Pilmer


(a) 2

1


x = 44 cm, 43.9 cm, or 43.86 cm

y = 30 cm


x = 3 cm


12 times


1077 cm3


174%


(b) 36

25


14.3 cm2


300 kilometres


30 km/h


0.22 metres


4 cm


26 cm


225%


7 500 000 000 tonnes


(b) 400 000



NSSAL 52 Draft

©2015 C. D. Pilmer


24 km


(d) 1 : 80


4 hours


247 tiles


(a) 509 m2


7.1 cm2

Graphs and Functions (pages 31 to 37)


(a) (2, 3)


(a) 26y a x x


-3


(a) (-1, -1)


b = 3t + 6


w = -4t + 20


(a)


(a) 50 centimetres

(b) -5 centimetres per minute

NSSAL 53 Draft

©2015 C. D. Pilmer


(d)

x y

-4 9

-2 5

0 1

2 -3

4 -7

6 -11


(c) 1

23x y


(a) 4

(b) (iv) 3 4 8x y


(b) 6


-8


x = -4 or x = 1


(2, 8)


(-3, -2)


22.88 cm


(a) 15.4 cm

(b) 15 cm2


(b) (9, -2)


(a) c = 15n + 10

(b) (iv) 0 < n < 3


(a) 2 hours

(b) 120 bacteria per square centimetre


(4, -3)

NSSAL 54 Draft

©2015 C. D. Pilmer


6

Algebra (pages 38 to 41)


8 cm


(d) 105


(c) 33

4

Vr


0.35 hours


(d) 1

1 41.752

c c


(c) 470 48 62t


$1600


34 years


3


(d) 8


(b) -6 or 3


9 cm


(b) all points less than point B


x - 6


(c) 7

NSSAL 55 Draft

©2015 C. D. Pilmer


7


26


-28


(a) (iv) 14x + 10y

(b) (iii) 23xy


23 and 24


(a) increases by 8


(b) 9


(d) 2

5 14 9x x


(b) x = 1.854 or x = -4.854


(a) (5, 0) and (-2, 0)


(b) x > 2


40o

Geometry and Trigonometry (pages 42 to 44)


450 km


70.4%


60 metres


66.9 metres


8 cm

NSSAL 56 Draft

©2015 C. D. Pilmer


45o


4 : 5


(d) 34.7 m


30o


45.5 centimetres


(b) 5

12


70o


65o


60o


3.8 cm


4 metres

ged math practice test learner resource...

Documents