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)
1|Page www.summariessa.co.za Mathematics
Grade 10 March Paper 1
, 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)
2|Page www.summariessa.co.za Mathematics
Grade 10 March Paper 1
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)
1|Page www.summariessa.co.za Mathematics
Grade 10 March Paper 1
, 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)
2|Page www.summariessa.co.za Mathematics
Grade 10 March Paper 1
