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Thomas Whitham Sixth Form[Type text] Page 0

THOMAS WHITHAM SIXTH FORM

2009

Number Year 7

S J Cooper

Thomas Whitham Sixth Form Page 1

Number (1) Place Value

1. What is the value of the 5 in the number 6542?

2. What is the value of each 4 in the number 4154?

3. Give the number that follows 999.

4. What is the next even number after 1024?

5. What is the next odd number after 589?

6. (a) Form as many three-figure numbers as you can using the figures 3 and 4. You may use each figure

more than once, for example 333 is a possible number.

(b) Put your numbers in numerical order.

7. Write in figures the number:

(a) “three hundred and forty seven”

(b) “one thousand six hundred and twenty six”

(c) “fifty nine”

(d) two hundred and seven”

(e) “four hundred and seventy two”

(f) “ten thousand three hundred”

(g) “nine thousand and eight”

(h) “two thousand five hundred and fifty five”

(i) “one million”

(j) “one billion”

8. Write in words:

(a) 127 (b) 45 (c) 375 (d) 1024 (e) 759 (f) 8433

9. Order the following numbers, starting with the smallest.

17, 3, 54, 103, 56, 11, 27, 90, 48, 10

10. What is the collective name for these numbers: 2, 4, 6, 8, 10, 12, 14, 16, …?


Number(2) Addition of number

1. Work out each of the following sums

2. Solve each of the following sums

(a) 45 + 97

(b) 105 + 283

(c) 474 + 38 + 49

(d) 500 + 601 + 93

(e) 1024 + 382 + 433

(f) 2155 + 635 + 147

(g) 665 + 371 + 86

(h) 498 + 533 + 712

(i) 3024 + 287 + 309

(j) 858 + 195 + 478 + 65

3. Find the total cost of a pen at 35 p, a ruler at 39 p, at compass at 46 p and a protractor at 33 p.

4. At the local supermarket at tin of soup costs 27 p, a loaf of bread cost 59 p and a tub of margarine cost

87 p. What is the total cost of these three items.

5. Year seven are divided into four tutor groups which consists of 26 students in one form, 23 in the second,

29 in the third and 19 in the forth. How many pupils are there in year seven?

6. Find the sum of one thousand four hundred and thirteen plus eight hundred and thirty seven.

7. Work out the total distance around the drawn triangle.

Remember to state your units.

8. John and Janet are taking their children Mary and Robert on

holiday to Florida. The price per adult for the holiday is £849 and

the price for Mary is £454. Robert goes free because he is less

than five years old.

What is the total cost of their holiday?

(a) 39

+ 48

(b) 108

+ 73

(c) 246

+ 34

(d) 574

+ 178

(e) 208

+ 194

(f) 78 37

+ 48

(g) 315 79

+ 40

(h) 78 37

+ 48

(i) 603 744

+ 88

(j) 21 1 814

+ 108

308 cm

419 cm 258 cm


Number(3) Subtraction of number

1. Work out each of the following subtractions

2. Solve each of the following subtractions

(k) 103 - 97

(l) 458 – 77

(m) 506 – 388

(n) 621 – 349

(o) 2011 – 637

(p) 492 – 238

(q) 600 – 227

(r) 409 – 65

(s) 344 – 106

(t) 791 – 437

3. The number of pupils at Castlerock High School is 943. If there are 407 girls, how many boys are there?

4. James is 174 cm tall while is sister is only 129 cm tall. What is the difference in their heights?

5. Find the difference between three hundred and twelve and two hundred and seventy four.

6. The school tuck shop buys 150 cans of cola and by the end of the week it has sold 79 cans. How many

cans of cola are left?

7. The Eiffel Tower in Paris was built in 1889 in order to impress visitors to the Universal

Exhibition. Until 1931 it was the tallest building in the world, when New York’s Empire State

building was completed.

For how many years was the Eiffel Tower the tallest building in the world?

8. The height of the Eiffel Tower in Paris is approximately 320 metres high. While the Empire State building is

approximately 443 metres high. How much higher than the Eiffel Tower is the Empire State Building?

9. The price of new cars has decreased in the last twelve months. Last year

the sale price of a Rover car was £13 450, whereas this year the same

car can be bought for £11 599. By how much has the price changed in

the last 12 months?

(a) 79

- 48

(b) 108

- 73

(c) 246

- 89

(d) 574

- 178

(e) 402

- 194

(f) 528

- 182

(b) 713

- 409

(c) 387 96

(d) 1024

- 675

(e) 3421

- 509


Number(4) Multiplication of number

9. Work out each of the following multiplication’s

10. Solve each of the following multiplication’s

(a) 17 x 27

(b) 49 x 21

(c) 38 x 74

(d) 104 x 45

(e) 33 x 61

(f) 112 x 92

(g) 46 x 26

(h) 58 x 81

(i) 32 x 148

(j) 17 x 64

(k) 13 x 109

(l) 28 x 714

(m) 19 x 84

(n) 56 x 56

(o) 198 x 22

(p) 216 x 78

(q) 638 x 24

(r) 208 x 72

(s) 342 x 56

(t) 1024 x 58

3. A library has bookcases, which store up to 57 books on each shelf. If there

are 9 shelves per bookcase, what is the maximum number of books the

librarian can store on one bookcase?

4. The chairs in the assembly hall are arranged so that there are 27 seats per row. If there are 32 rows, how

many seats are there in the hall?

5. The mathematics department buys 164 pens at 23p each, 287 pencils at 16p each and 54 protractors at

37p each.

(a) What is the total cost for (i) pens (ii) pencil (iii) protractors?

(b) What is the total cost for all these items together?

6. In a soccer tournament there are thirty-six teams, and each team has

a total of seventeen players. How many players are there in the

tournament?

7. A supermarket has a delivery of 27 crates of lemonade. Each crate holds 158 bottles of lemonade.

How many bottles of lemonade are delivered?

(a) 78

x 5

(b) 54

x 4

(c) 246

x 7

(d) 81

x 3

(e) 107

x 6

(f) 49

x 7

(b) 604

x 9

(c) 94

x 8

(d) 1024

x 5

(e) 642

x 2


Number (5) Division of number

1. Work out the following divisions

(a) 1855 (b) 7263 (c) 17297 (d) 34029 (e) 6324

(f) 10773 (g) 26568 (h) 16648 (i) 47286 (j) 3927

2. Divide the following, giving the remainder when there is one:

(a) 498 8

(b) 678 6

(c) 1024 9

(d) 234 3

(e) 419 8

(f) 109 7

(g) 535 4

(h) 2194 5

(i) 3031 2

(j) 919 6

3. Calculate the following divisions

(a) 254 13

(b) 384 17

(c) 605 12

(d) 357 24

(e) 1024 32

(f) 975 27

(g) 687 41

(h) 409 16

(i) 545 19

(j) 2108 14

4. How many apples costing 12 pence each can I buy for £3.00?

5. How many strawberries costing 8 pence each can I buy for 70 pence?

6. A poultry farmer has 405 eggs, which are to be placed into cartons

containing 6 eggs each. How many cartons will he require?

7. I drive my car from Burnley to Birmingham and use 14 litres of petrol in doing so. If the distance travelled is

168 miles. How far can my car travel on 1 litre of petrol?

8. If a coach holds 30 children how many coaches are needed to take 450

children on a school outing to Alton Towers?

9. At Coalclough High school there are 46 classes with the same number of students in each class. If there is

a total of 1656 students in the school, how many students are there in each class?


Number (6) Multiples & factors

1. Write down the first five multiples of

(a) 7 (b) 5 (c) 8 (d) 12 (e) 9 (f) 15

2. From the set of numbers {2, 3, 5, 6, 8, 10, 12, 15, 16, 18, 20, 21} write down those numbers which are:

(a) multiples of 2 (b) multiples of 4 (c) multiples of 3

(d) multiples of 6 (e) multiples of 8

3. What is the smallest number which divides exactly by both

(a) 2 and 3?

(b) 4 and 6?

(c) 2 and 5?

4. What is the largest number which will divide into both

(a) 10 and 15?

(b) 24 and 32?

(c) 18 and 42?

5. Find the lowest common multiple of:

(a) 3 and 4

(b) 4 and 8

(c) 2 and 5

(d) 6 and 8

(e) 6 and 9

(f) 7 and 10

(g) 12 and 20

(h) 4 and 6

(i) 3 and 15

(j) 2, 4 and 10

6. Is 2 a factor of:

(a) 4 (b) 7 (c) 16 (d) 31 (e) 134?

7. How do you know that two is a factor of the number 15574358?

8. Is 5 a factor of:

(a) 4 (b) 25 (c) 40 (d) 21 (e) 190?

9. How do you know that five is a factor of the number 187455?

10. List the factors of:

(a) 8 (b) 14 (c) 36 (d) 16 (e) 26 (f) 28 (g) 120

11. (i) Is three a factor of:

(a) 51 (b) 38 (c) 75 (d) 102 (e) 154 (f) 471?

(ii) In each of the above add the digits together and test whether your answers are also divisible by 3.


Number (7) Prime Numbers

1. Write down the first six prime numbers.

2. Write down a list of all prime numbers between 10 and 30.

3. In the set of numbers {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, which members are prime numbers?

4. In the set {30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41}, which numbers are prime?

5. Express the following numbers as products of their prime factors.

(a) 10

(b) 15

(c) 24

(d) 34

(e) 32

(f) 8

(g) 108

(h) 40

(i) 60

(j) 55

(k) 48

(l) 110

(m) 80

(n) 66

(o) 215


Number (8) Equivalent fractions

Draw each of the following into your exercise book and answer all the questions.

1. (a) How many parts is the rectangle divided up into?

(b) How many parts have been shaded in?

(c) What fraction has been shaded in?

2. (a) How many parts has the circle been divided up into?



3. (a) How many parts has the square been divided up into?


(c) What fraction is shaded in?

4. (a) How many parts are there in the shape opposite?



5. (a) How many parts are there altogether?



6. With each of the shapes below shade in one third and write down another way of expressing one

third as a fraction!

(a) (b) (c)

7. For each of the shapes below shade in one quarter and write down the fraction shaded.


(a) (b) (c)

8. For each of the following shapes shade in one fifth. Write down the fraction that you have shaded.

(a) (b) (c)

9. For each of the following write down the fraction (a) Shaded (b) unshaded.

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

10. For each of the following state the fraction shaded. Comment on your findings.

(a) (i) (b) (i)

(ii) (ii)

(c) (i) (d) (i)

(ii) (ii)

(e) (i) (f) (i)

(ii) (ii)


Number (9) Expressing as a fraction

1. Simplify each of the following fractions:

a) 24

12

b) 18

6

c) 20

8

d) 35

15

e) 24

16

f) 55

33

g) 48

30

h) 63

28

i) 100

60

j) 84

36

2. Express the following in their simplest form:

a 8

16 b

9

27 c

14

16 d

24

36 e

17

50 f

34

36 g

15

65

h 6

51 i

27

54 j

15

20 k

48

108 l

45

144 m

40

64 n

76

92

3. Obtain the fractions equivalent to those below in their simplest form.

a) 15

10

b) 20

12

c) 9

3

d) 32

14

e) 24

6

f) 20

16

g) 36

9

h) 40

15

i) 100

60

j) 50

8

4. What fraction of the word MATHEMATICS is made up of M’s?

5. My mother buys some fruit, of which 8 are apples, 7 are oranges and 5 are

bananas. What fraction of the fruit is made up of (a) oranges (b) apples

?

6. Janet spent £54 on Saturday, of which £12 wents on food, £9 on a CD and the rest on clothes.

What fraction of her money did she spend on (a) food (b) clothes ?

7. A farmer has 20 cows, 35 sheep, 12 pigs and 8 geese.

What fraction of his animals are (a) sheep (b) geese ?

8. The time Alan spent on his homework last week was as follows:

2h on science 2 12 h on English 1 1

2 h on geography 1h on Religious Studies

3h on Maths 12 h on German 1 1

2 h on History

What fraction of his time was spent on (a) Maths (b) Science (c) German ?


9. On a plane to Spain there are 216 men, 144 women and 120 children.

What fraction of the total number of passengers are (a) children (b) men ?

10.The BBC viewing on one day spent 3 hours on news programmes, 6 hours on films , 4 hours on

documentaries , 9 hours on entertainment and 2 hours on other programmes.

What fraction of the day’s viewing was on (a) films (b) documentaries ?

11.At a school disco 12 students drank lemonade, 26 drank coke , 6 drank orange-squash and 4

drank water. What fraction of the students drank (a) coke (b) water ?

12. On a journey to London, a distance of 240 miles, 160 miles is by motorway

and the rest is by ordinary roads. What fraction is taken up by motorways ?


Number (10) Fractions of a quantity

1. Find

a 1

3 of 18 b

1

3 of 24 c

1

4 of 24 d

1

5 of 30 e

1

6 of 30

f 1

7 of 21 g

1

8 of 64 h

1

9 of 54 i

1

10 of 120 j

1

12 of 48

2. Find

a 3

5 of 20 metres b

2

3 of 18 metres c

5

9 of £45 d

7

8 of 56 cm

e 7

16 of 48 litres f

3

7 of 84 miles g

2

7 of 1 week h

3

5 of £1

i 5

8 of 1 day j

4

5 of one year. [note: 1 day = 24 hours. 1 year = 365 days]

3. James bought a roll of sellotape 36 metres long and used 2

9 of it to rap his brother birthday

present.

(a) What length of sellotape did James use for his brothers present?

(b) What length of sellotape did James have left?

4. The P.T.F.A raised £1340 at the Christmas fair, of which one tenth went on expenses. A charity

was given four fifths and the rest went in the bank. What amount went

(a) on expenses (b) to charity (c) in the bank account ?

5. A house agent receives commission of 1

250 of the sale of a house. Find his commission on a sale

of £ 75 000

6. A box of chocolates has a mass of 250 grams. 3

20 of this mass is packaging.

What mass is (a) packaging (b) chocolates ?

7. A farmer grows potatoes on 3

7 of his land and silage on

2

5 of his land.

If he has 315 hectares, on how much of the land does he grow

(a) potato (b) silage?


8. A carpet covers 2

3 of the lounge floor, which has a total area of 15 square metres. Find

(a) the area covered by carpet (b) the area uncovered ?

9. 3250 candidates sat a Mathematics examination. 17

25 of them passes with

distinction and 3

10 of them failed. How many (a) failed

(b) obtained a distinction?

10. 2

9 of the computer chips made by a certain machine are found to be faulty. If a total of 243 chips

are made in one hour, how many are likely to be faulty?

11. Paula earns £28 from a Saturday job. If her wage is increased by 1

4 how much will she earn

now?

12. The Adams family bought a car for £8100 and sold it three years

later losing 4

9 the original price. How much did they lose?

13. An airline gives a reduction of 2

7 on fares for children aged 2 to 12. Find the child fare when an

adult fare is £343.

14.Over a period of time a car industry manufactured 1080 cars. 7

15 of the cars were saloons,

4

9

were hatchbacks and the rest were estates.

How many were (a) Hatchbacks (b) estates ?

15.In a small village there are 756 children.4

7 Of these are girls, and of these girls

1

6 go to school. Of

the girls who go to school, 5

9 go to secondary school.

(a) How many girls are there? (b) How many girls go to school?

(c) How many girls go to secondary school?


Number (11) Decimals Place value

1. What is the place value of the digit three in the number 3.142 ?

2. What is the place value for the digit one in the number 2.51 ?

3. What is the meaning of the place value for the digit nine in the number 14.97 ?

4. What is the meaning of the place value for each of the digits two in the number 27.82 ?

5. Place each of the following quantities of money in order of size. Starting with the smallest sum of

money.

£3.09 £2.97 £2.54 £3.05 £1.67 £2.58 £1.69

6. For each of the following place in order of size starting with the smallest.

a) 0.75 , 1.07 , 0.68 , 1.48 , 0.57 , 2.17 , 0.19 , 0.42 , 2.08 , 1.42

b) 10.15 , 7.58 , 0.25 , 7.47 , 1.05 , 0.98 , 9.87 , 10.05 , 0.88

c) 1.49 , 1.049 , 1.409 , 1.094

d) 0.6 , 0.006 , 0.06 , 6.06 , 6.6 , 0.066

e) 54.1 , 5.14 , 15.4 , 0.541 , 0.0451 , 0.451 , 4.541

f) 0.7 , 1.7 , 0.17 , 0.6999 , 7.1 , 1.076 , 7.06999 , 0.74

g) 8.701 , 78.01 , 701.8 , 0.7801 , 1.087 , 8.107 , 8.071 , 71.08

7. Which is the largest 23.008 or 22.814 ?

8. Which is the smallest quantity 37 or 19.198 ?

9. Which is the largest quantity 0.49 or 0.409 ?

10. Which is the smallest sum 11.1 , 1.14 or 1.0401 ?


Number (12) Addition of decimals

1. Work out each of the following

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

2.

a) 24.7 + 18.27 + 5.4

b) 48.2 + 7.58

c) 12.09 + 3.7

d) 103.2 + 61.09

e) 3.14 + 9.03 + 6.7

f) 0.89 + 1.304 + 10.5

g) 4.513 + 12.38 + 6.07

h) 9.28 + 3.105 + 0.39

i) 0.22 + 7.198 + 64.3

j) 109 + 58.7 + 66.08

3. Add together the following quantities:

a) 99.1 , 78.55 , 1.807

b) 21.37 , 8.07 , 57

c) 274.2 , 18.67 , 5.46

4. Joanne buys four items costing £1.98 , £3.46 , £2.15 and £8.99. What is the total cost for these

four items?

5. The heights of three boys are 1.74 m, 1.8 m and 1.54 m. What is their total

combined height?

6. The capacities of two containers are 2.76 litres and 5.4 litres. What is the

maximum capacity for the two containers?

7. Four weights are laid on a table. The weights are individually labelled as 1.2 kg , 0.95 kg , 0.08 kg

and 2.24 kg. What is the total weight on the table?

8. Three pieces of string have lengths 15.7 cm, 0.87 cm and 6.48 cm. If the lengths are laid out end

to end, what length would they cover?

9. Workout the sum of the following set of lengths 12.05 , 7.33 , 2.987 , 4.55 and 0.361

7.38

+ 1.57

14.05

+ 3.98

47

+ 10.25

32.7

+ 0.78

24.3

+ 8.66


Number (13) Subtraction of decimal


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

2.

a) 23.1 – 11.78

b) 6.08 – 2.27

c) 62.11 – 15.8

d) 0.594 – 0.447

e) 16.9 – 5.4

f) 41.208 – 9.61

g) 2.514 – 0.98

h) 1.5 – 0.67

i) 1.2 – 0.851

j) 68 – 13.34

3. What is the difference between 54.7 and 42.27 ?

4. Work out 19.07 minus 8.5

5. Three buildings have heights of 304.1 metres, 451.32 metres and

354.5 metres. What is the difference in height between the tallest

building and the shortest building?

6. During the first eight weeks a new born child, Chloe, increased her weight from

3.6 kg to 5.41 kg.

By how much has Chloe’s weight increased?

7. The bill for three books came to £21.56 if two of the books cost £6.95 and

£5.98 what is the cost of the third book?

8. A plant bought at B&Q had a height of 17.41 cm. During the summer

months the plant flourished and increased its height to 34.5 cm.

By how much did the plant increase its height over the summer months?

9. A recordable CD is able to store 74 MB of data. John’s CD current has 45.14

MB used up on his CD. How much space does he have left?

7.38

- 1.57

28.33

- 12.91

73.4

- 9.18

54.01

- 6.44

100.5

- 5.07


Number (14) Multiplication of Decimal

1. Work out each of the following:

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

(f) (g) (h) (ii) (j)


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

(f) (g) (h) (ii) (j)

3. Multiply together each of the following:

a) 4.51 by 3

b) 8.44 by 6

c) 12.4 by 5

d) 6.03 by 9

e) 4.102 by 8

f) 12.77 by 13

g) 11.7 by 27

h) 6.05 by 41

i) 12.46 by 61

j) 105.3 by 47

4. The price of a CD is £10.47 if bought through the internet.

What is the price of six CD’s bought through the internet?


a) 56 x 10

b) 4.65 x 10

c) 1.37 x 100

d) 0.204 x 100

e) 3.12 x 1000

f) 27.3 x 1000

g) 6.7 x 1000

h) 0.187 x 10

i) 0.998 x 100

j) 3.074 x 10

6. Given that 1cm = 10mm convert the following cm into mm.

a) 7cm b) 1.6cm c) 0.3cm d) 0.01cm e) 5.46cm

7.38

x 3

15.3

x 2

2.14

x 5

30.7

x 6

16.03

x 4

3.142

x 6

0.541

x 3

1.54

x 7

52.1

x 9

1.037

x 5

1.64

x 13

9.7

x 23

1.37

x 45

8.24

x 61

17.3

x 43

3.142

x 27

0.471

x 17

60.6

x 32

0.12

x 59

2.074

x 33


7. Given that 1m = 100cm convert the following m into cm.

a) 2m b) 1.4m c) 0.45m d) 0.01m e) 2.169m

8. Given that 1km = 1000m convert the following km into m.

a) 5 km b) 3.14km c) 0.5km d) 0.03km e) 0.0415km


Number (15) Division of decimals


(a) 44.73 (b) 34.15 (c) 94.237 (d) 04.354 (e) 72.369

(f) 4.1748 (g) 9.365 (h) 72.906 (i) 04.304 (j) 824.163


(a) 36.4512 (b) 26.4717 (c) 01.4323 (d) 9.28827 (e) 554.9434

3. Divide 21.72 by 3

4. Divide 49.8 by 4


6. Divide 86.1 by 7

7. Divide 38.04 by 12



10. Divide 170.94 by 21

11. If six albums cost £68.82 What is the cost of each album?

12. If 7 loafs of bread cost £5.32 what is the price of one loaf?

13. If a box of nine apples weighs 2.43 kg what is the approximate

weight of each apple?


a) 9.426 10

b) 18 10

c) 13.75 100

d) 182.7 1000

e) 342.7 100

f) 8.2 100

g) 91.6 10

h) 120.78 1000

i) 0.78 100

j) 0.0274 1000

2. Given that 1cm = 10mm convert the following mm into cm.

a) 5mm b) 21.7mm c) 6.1mm d) 0.7mm e) 5.46mm

3. Given that 1m = 100cm convert the following cm into m.

a) 209.1cm b) 6.4cm c) 0.45cm d) 54.7cm e) 8205.3cm

4. Given that 1km = 1000m convert the following m into km.

a) 5m b) 314.7m c) 1140.6m d) 0.5m e) 6331.24m


Number(16) Conversion

1. Convert the following decimals into fractions, simplifying where possible.

a) 0.3

b) 0.8

c) 0.03

d) 0.08

e) 0.007

f) 0.006

g) 0.15

h) 0.47

i) 0.68

j) 0.95

k) 0.088

l) 0.254

m) 1.2

n) 1.5

o) 3.56

p) 5.34

q) 6.045

r) 9.9

s) 12.7

t) 3.142

2. Convert the following fractions into decimals.

a) 5

3

b) 10

9

c) 20

17

d) 25

9

e) 25

13

f) 50

33

g) 20

11

h) 25

22

i) 4

3

j) 10

7

3. Convert the following fraction into decimals (care where required!)

a) 8

3

b) 3

2

c) 7

4

d) 6

5

e) 11

6

f) 9

4

g) 12

7

h) 15

4

i) 13

5

j) 5

17


Number (17) Rounding off

1. Round off £2345.62 correct to

i) the nearest pound

ii) the nearest ten pound

iii) the nearest hundred pound

iv) the nearest thousand pound.

2. Given the amount banked by a local charity fair was £1729.81 write down this amount

i) correct to the nearest £1

ii) correct to the nearest £10

iii) correct to the nearest £50

iv) correct to the nearest £100

v) correct to the nearest £200

vi) correct to the nearest £1000

3. The weight of a box of potatoes is given as 54.7 kg. What is this weight correct to the nearest

a) kilogram b) 10 kg

4. The number of pupils attending Castlerock High School is 974. Give this number correct to the

nearest (a) 10 (b) 20 (c) 50 (d) 100

5. The height of Mount Everest, above sea level, is given as 8800 metres

correct to the nearest metre. What is the maximum possible height for

this mountain?

6. A number has been rounded off as 260 correct to the nearest 10. What is the largest possible

value this number could have been.

7. The number of examination papers sat in this summer is given as 1400, correct to the nearest

100. What is

a) the maximum number of examinations sat this summer?

b) The minimum number of examinations sat this summer?

8. The amount taken during Monday by a local shopkeeper is given as £830, correct to the

nearest £10. What is the maximum amount that the shopkeeper could have taken?

£


Number (18) Expressing as a Percentages

1. Express each of the following fractions as percentages

(i) 5

2

(ii) 10

7

(iii) 50

3

(iv) 25

12

(v) 5

3

(vi) 20

7

(vii) 50

39

(viii) 4

3

(ix) 20

13

(x) 25

16

(xi) 10

9

(xii) 8

3

(xiii) 9

5

(xiv) 7

4

(xv) 15

7

2. Express each of the following decimals as percentages

a) 0.21

b) 0.45

c) 0.94

d) 0.23

e) 0.6

f) 0.06

g) 0.71

h) 0.1

i) 0.18

j) 0.09

k) 1.47

l) 1.6

m) 1.02

n) 0.96

o) 1.175

3. For each of the following diagrams, what percentage has been shaded in?

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

(e) (f) (g)

4. Shade in 20% for each of the following diagrams

(a) (b) (c)

5. A box contains 16 homework books out of a class of 40. Express the number of homework

books in the box as a percentage of those in the class.

6. Jane obtained 24 out of 60 in a recent mathematics test. What percentage of the marks did she

(a) answer correctly? (b) answer incorrectly?


7. Last week I purchased a computer for £1200 but only left a deposit of

£360. What percentage of the total purchase price did I leave for a

deposit?

8. Waqar obtained 34 out of 40 in a Science test and 21 out of 30 in an English test. Which test

did he perform the best in? Explain your answer.

9. The tickets to a holiday in Greece should have been £700 but were reduced to £511.

(a) By what amount was the holiday reduced?

(b) What percentage was the holiday reduced by?

10. When travelling to Greece the weight of a suitcase, when full,

must not exceed 25 kg or else you must pay an extra £13 for

each kilogram over this weight.

Travelling home from Greece Sally was charged £52.

(a) What was the weight of Sally’s suitcase?

(b) By what percentage did Sally exceed the allowed weight?


Number (19) Percentage of a quantity

1. Calculate each of the following

(a) 20% of 160

(b) 25% of 48

(c) 32% of 150

(d) 43% of 200

(e) 65% of 80

(f) 84% of 250

(g) 56% of 300

(h) 70% of 130

(i) 45% of 220

(j) 95% of 340


(a) 40% of £130

(b) 90% of 180 cm

(c) 35% of 260 kg

(d) 44% of 175 pupils

(e) 60% of £205

(f) 17% of 1 million

(g) 12% of 225 cm

(h) 56% of $175

(i) 62% of 150 euros

(j) 4% of 50 metres

3. 70% of students at Beecon High School study French in year 7. If there

are 160 pupils in year 7, how many study French?

4. Janet obtained 30% in a recent French test. If the test was marked out of 40,

how many marks did Janet receive?

5. A bank offers interest at 6% per annum (i.e. per year). If Mr Asad

deposited £800 into his account on the 1st of January what interest

will he receive on the 1st of January the following year?

6. In Texton approximately 42% voted in the last general election. If Texton consists of 850

people, how many turned out to vote?

7. A box contains 60 crayons. If 15% are red, 40% are blue and the rest green. What quantity of

the box are (a) red crayons? (b) green crayons?

8. At the local cinema the opening weekend for the film “Tomb Raider”

took £7975 and had an audience of 1450 people. If 58% of the

audience were boys

(a) How many boys saw the film in the opening weekend?

(b) What percentage of the audience were girls?

9. 52% of pupils at Castlerock High School travel to school by bus where each bus can hold up to

32 pupils. If there are 175 pupils at this school

(a) How many travel by bus?

(b) How many buses are needed each morning for these pupils?


Number (20) Percentage of a quantity

1. Work out each of the following.

(a) 20% of 130 metres

(b) 40% of £250

(c) 70% of £80

(d) 35% of 120 cm

(e) 5% of 16 kg

(f) 2 12

% of 150 litres

(g) 17 12% of £50

(h) 24% of 36 cm

(i) 41% of 8 metres

(j) 6% of 1 hour

2. 8% of a 32 metre roll of wall paper is wasted. Find the length of the wasted paper.

3. 35% of the money raised at the christmas fair was spent on a new computer. If £1250 is raised

how much was spent on the new computer?

4. Last week 23 500 attended the local football match. If 8% of the crowd are

female, how many female attended?

5. In 2000 my car insurance was £480. This year the cost is said to increase by 25%. Find

(a) the increase (b) the new price.

6. A mathematics book contains 420 pages, 40% of which are on Algebra, 25% on Hangling data

and the rest on basic number work.

How many pages are devoted to basic number work?

7. Sixty-two percent of the audience of 1650 at a “Hear’say” concert were females. How many

(a) females (b) males attended?

8. A bathroom suit costs £640 plus VAT at 17 12%. What is the total cost of the bathroom?

9. The cost of a graphical calculator is £45 plus VAT at 17 12%. What is the total cost of the

calculator?

10. Jean is nine percent heavier now than she was two years ago. If she

weighed fifty kilograms then, how much does she weigh now?


11. There are eighty houses down my street of which sixty-five percent subscribe to “Sky”

television. How many houses will be able to watch “Sky one” down my street?

12.Over the summer some 240 flights will leave Manchester airport bound for

Orlando, Florida. 15% of these flights are with “Lowcost airlines”. How

many flights are with “Lowcost airlines”?


Number (21) Conversions

1. Write each of the following percentages as fractions, giving your answers in their simplest form.

(a) 20%

(b) 45%

(c) 24%

(d) 33%

(e) 85%

(f) 98%

(g) 52%

(h) 19%

(i) 18%

(j) 64%

2. Write each of the following percentages into decimals.

(a) 14%

(b) 33%

(c) 81%

(d) 17 12%

(e) 56%

(f) 2.4%

(g) 1%

(h) 150%

(i) 8%

(j) 2.4%

3. Which is the larger value 39% or 0.42?

4. Which is the larger 2

5 or 12%?

5. Which is the larger 0.31 or 1

3?

6. Place the following qualities in order of size starting with the smallest value.

3

10, 24% , 0.34 ,

1

4, 0.17, 31%

7. Place the following qualities in order of size starting with the smallest value.

56%, 3

5, 0.056,

17

20, 47%, 0.475


Number (22) Directed numbers 1. Write down the temperature readings for each of the following thermometers.

2. Next write down the new temperature if each of the above temperatures increase by 3 C.

3. What would be the new temperatures if the temperatures had in fact fallen by 4C?

4. For the thermometers in question 1, write down the new temperature in each case when the

temperature rises of falls by the value indicated below.

A B C D E F G

Increase

by 5

decrease

by 5

Increase

by 4

Increase

by 10

decrease

by 6

decrease

by 9

Increase

by 14

5. When I got up this morning the temperature was – 4 C. By midday the temperature had risen

by 7C. What was the temperature at midday?

0

–1

–2

–3

–4

1

2

3

4

5

C

A

0

–1

–2

–3

–4

1

2

3

4

5

C

B

–1

–2

–3

–4

–5

0

1

2

3

4

C

C

0

–1

–2

–3

–4

1

2

3

4

5

C

D

0

–1

–2

–3

–4

1

2

3

4

5

C

E

–1

–2

–3

–4

–5

0

1

2

3

4

C

F

0

–1

–2

–3

–4

1

2

3

4

5

C

G


6. Given the temperatures each morning and the temperatures midday for a particular week, work

out the change in temperature for each day.

Day Morning temperature (C) Midday temperature (C)

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

1

–3

–8

1

4

–2

–4

6

5

–2

–3

–2

–1

–6

7. For each of the following fill in the missing spaces

Original Temperature Change New Temperature

4C

8C

3C

5C

–9C

–3C

–6C

2C

–6C

–11C

–7C

+3C

+6C

–7C

–4C

–3C

+2C

–1C

2C

–3C

4C

–5C

8. On Tuesday morning the temperature was – 2C and by 11 o’clock the temperature had risen

to 4C. By how many degrees had the temperature risen?

9. The temperature outside the classroom is given as – 3C and yet inside the classroom it is said

to be 15C. What is the difference in the temperatures?

10. The temperature at the top of Mount Everest can be as cold as –29C while at the bottom its

temperature is given as –14C. What is the difference in the temperature from the top to that at

the bottom of Mount Everest?

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