Question 1
Choose the correct answer. Write only the letter next to the question number on your answer
sheet.
1.1 Which of the following is a prime number?
a) 25
b) 42
c) 27
d) −¿23
1.2 Complete: 2( √ 36) −(−4)2 + √3 −343
a) 3
b) −¿11
c) −¿ 6
d) −¿13
1.3 The next number in the sequence 1; 9; 27; …. is
a) 36
b) 49
c) 64
d) 36
1 3
1.4 Complete: 5 x−1 x=¿
2 4
1
a) 2 x
4
3
b) 3 x
4
11
c) 2 x
3
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Grade 9 June Paper
, 7
d) 4 x
8
1.5 Which of the following exponential laws are INCORRECT?
a) x 4 × x 2=¿ x 6
b) x 6 ÷ x 2=x 4
c) x 1=¿0
d) ¿ ¿ x 6 (5x2)
[10]
Question 2
2.1 Write down the HCF of 24 and 36. (2)
2.2 Write 108 as a product of its prime factors. Show your calculations. (3)
2.3 Subtract 2 x3 −3 x2−x from 7 x 2−5 x−4 x3 (3)
[8]
Question 3
3.1 Calculate: (2,0 x 104) x (3,5 x 103) (1)
−1
3.2 If a = −¿ 1, b = , c = 4. Calculate a2 + b2 - c2. (3)
2
3.3 Simplify:
3.3.1 −¿4( x - 3)( x + 3) (2)
3 x +2 −10 x −3
3.3.2 (4)
2 3
3.3.3 x 3−4=23 (3)
3+2 x x−1
3 ×27
3.3.4 (4)
3 × 92 x+1
x
[17]
Question 4
Solve the following equations.
1
4.1 2 x ¿ 4 (2)
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Grade 9 June Paper