Grade 10 Mathematics (MATH) March Paper and Memo - 2024

GRADE 10 MATHEMATICS MARCH TEST

QUESTION 1
1.1 Copy and complete the following table on your answer sheet:
Only tick in the applicable column/s. (4)

N N0 Z Q Q' R R'
√ 9+8
6
0
0,1313
√9

1.2 Determine between which integers the following irrational number lie:
√ 133 (2)

1.3 Use the ladder method to give the prime factors of 5184.
Write the answer in exponential form. (2)
[8]


QUESTION 2
Factorise the following expressions:
2.1 x 2−49 (1)

2.2 2 p ( p−q )−3(q− p) (2)

2.3 ¿ (3)
2
2.4 3 x + 9 x −12 (2)
[8]


QUESTION 3
Simplify the following expressions:
3.1 (x−5)(3 x +2) (2)

3.2 (x−2)(x 2+ 5 x−1) (3)


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, 2
3 x +9 x
3.3 (3)
3x
[8]

QUESTION 4
Simplify the following using the exponential laws.
5
4.1 (1)
x0

4.2 ¿ (3)

Solve for x :
4.3 2 x −5=11 (2)
[6]


QUESTION 5
Solve for x :
5.1 ( x−3 )( x +5 )=0 (2)

5.2 3 x ( x +1 )−x ( 2 x−3 )=7 (3)

1 3 2
5.3 ¿ −¿ (4)
x−1 x x+2

x+3
5.4 +5>8 (3)
2

5.5 Solve x and y simultaneously. (5)
3 x+ y=2
6 x− y =25

5.6 Jane is 3 years older than her sister. Together they are 19 years old.
How old will Jane’s sister by in 5 years? (4)
[21]


QUESTION 6
6.1 Use the following triangle to determine the trigonometric ratios:



√ 125
5


θ
10
6.1.1 sinθ (2)
6.1.2 cosθ (2)

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