ikamvayouth: grade 8 baseline...
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IkamvaYouth: GRADE 8 BASELINE TEST
All questions should be attempted Answer all the questions on the question paper, using the space to show your
working Calculators may be used
___________________________________________________________________
NUMBER
Question 1
Question 2
Question 3
Order the following two sets of numbers:From smallest to largest:
4 3.9 4.101 3.88 4.2
_____________________________
From largest to smallest:16 21 -4 5 -8
_____________________________
2 marks
Question 4
Round 425 to the nearest 10 ________
Round 425 to the nearest 100: ________ 2 marks
Question 5
A builder has to buy materials for a job. He has R1200 in cash to pay for the goods. He uses 30% of the money on bricks, 23% on cement and 17% on wood.
a) How much did each of the materials cost?
Bricks: R ___________
Cement: R ___________
Wood: R ___________4 marks
b) What change did he have left over?
R___________1 mark
Question 6
Question 7
Calculate the following, without use of a calculator, showing all steps of your working:(a) 213.45 - 92.762
________ 2 marks
(b)6
7
4
3
________ 2 marks
(c) 3.49 x 7.4
________ 2 marks
(d) 1210
1
4
5
________ 2 marks
(e) 3
4
15
6
________ 3 marks
Question 8
Study the numbers in the box below and select the ones that fulfil the descriptions that follow:
(a) all the prime numbers _________________________________
(b) all multiples of 5 _________________________________
(c) the only number that is divisible by both 6 and 9 _________________
(d) the only common multiple of 2, 3 and 5 _________________
(e) all factors of 100 _________________________________
11 marks
Question 9
(a) Provide the lowest common multiple of the following: 3, 7 and 42
________ 2 marks
(b) Provide the highest common factor of the following: 4 x and 2x
________ 2 marks
162 9097
5
17
4
100
2291
ALGEBRA
Question 10
(a) Fill in the missing numbers in this sequence:
6, _____, 20, _____, 34, ______1 mark
(b) Explain in words the rule for the above sequence.
___________________________________________________________________
1 mark
Question 11
Matchsticks are used to make squares as shown below:
1 square 2 squares 3 squares
Fill in the blank spaces on the table below
Question 12
Simplify, as far as possible:
(a) yxyx 423________
2 marks
(b) 323xy
________ 2 marks
Number of squares 1 2 3 4 nNumber of matches 101
(c) xyyxx ....
________ 2 marks
(d) )1(26 23 ccc
________ 3 marks
(e) ed
dede2
243
________ 3 marks
Question 13
Solve for x:(a) 622 x
________ 2 marks
(b) xx 450145
________ 3 marks
(c) 209
43 x
________ 2 marks
(d) 222)2(2 xxx
________ 3 marks
Question 14
Consider the following expression: 24 724 aaa
(a) Rewrite the expression in descending powers of a .
________ 2 marks
(b) How many terms are there?________
1 mark
(c) What is the coefficient of 2a ?________
1 mark
(d) What is the constant?________
1 mark
(e) Calculate the value of the expression if a 2
________ 3 marks
Question 15
Consider the following rectangular prism.If the volume of the prism is 2192cm , calculate the value of x .
x = _____________ 3 marks
x8
x3
x
Question 16
Percentage protection = _________ 2 marks
GEOMETRY AND MEASURE
Question 17
In the sketch below, find, in alphabetical order, the size of the angles marked with small letters. You must give reasons.NOTE: AB = AC
a = _______ reason: ____________________________________________
b = _______ reason: ____________________________________________
c = _______ reason: ____________________________________________
d = _______ reason: ____________________________________________
e = _______ reason: ____________________________________________
10 marks
Question 18
Find the value of x in the sketch below (no reasons required).
x = ________° 3 marks
Question 19
>
db
GHF
DC
B
A
E
a
c
34
e
>
x
E
DCB
A
3x48
The figure below shows a tent. ED is 2,2metres, PE is 1,2 metres and AE is 1,6 metres.
(a) Find the length of the zip, AB, of the tent. (Round off to 1 decimal place)
________ 3 marks
(b) Find the amount of material needed to make the tent (including the base of the tent)
________ 3 marks
B
A
P E
C
D
1,6m
2,2m
1,2m
//\\
Question 20
You can make only six different cuboids using 24 cubes.Complete the table to show the dimensions of all the remaining cuboids.The first two have been done for you.
DIMENSIONS OF CUBOIDSCUBOID LENGTH BREADTH HEIGHTCuboid 1 1 1 24
Cuboid 2 1 2 12
Cuboid 3
Cuboid 4
Cuboid 5
2 marks
Question 21
2 marks
Question 22
Question 23
Question 24
DATA HANDLING
Question 25
The graph below shows the number of cars passing a particular point at different hours of a day.
Use the above Bar Graph to answer the following questions:
(a) At which two time-periods is the traffic at its worst? ______________________
2 marks
(b) How many cars pass this point at each of these two time-periods?________
1 mark
(c) Why do you think there are so many more cars at these two times?______________________________________________________________________________________________________________________________________
2 marks
(d) What time do you think the majority of people who use this route start and end their work day? ______________________
2 marks
(e) There is another peak in traffic between 13h00 and 14h00. What is a possible explanation for this?
__________________________________________________________________________________________________________________________________
1 mark
(f) What is the total number of cars passing though this spot over the 13 hour period? (Show how you calculated this number)
________ 2 marks
(g) What fraction of these cars pass through the point between 06h00 and 07h00?
________ 2 marks
Question 26
There are four children in a Spanish language class.Their shoe sizes are 4; 6; 7 and 7.
a.) What is the mode shoe size? ____________
b.) What is the median shoe size? ____________
c.) What is the mean shoe size? ____________
d.) What is the range in shoe sizes? ____________ 4 marks
Question 27
There are five people in a family. The ages of four members of the family are 6, 10, 14 and 44. The mean age of the family is 22. What is the age of the fifth member of the family?
____________ 3 marks
Question 28
In a game of Bingo the prize number can be anything from 1 to 100. All the numbers are equally likely to be chosen. What is the probability that the prize number will be:
A multiple of 10 ____________
An even number ____________
The number 56 ____________
Less than 120 ____________
More than 25 ____________
The number 101 ____________ 4 marks
Question 29
___________ times 2 marks
Question 30
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