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