Mathematics Diagnostic Test
Grade 11
Student Name:
__________________________
Class/Section:
Date:
____________
Total Mark:
____________
/15
Purpose : This diagnostic assessment checks the key math knowledge and skills students are expected to
have developed in Grade 10 before starting Grade11 Math
Instructions
Answer all questions.
Read each question carefully and show your working where required
This is a diagnostic test, so answer independently
Choose the correct answer.
[ one each / 10marks]
1. Evaluate: 3 − 2(4 − 7) + 5.
A. 2
B. 8
C. 14
D. 20
2. Which number is greatest?
A. 0.58
B. 5/9
C. 57%
D. 0.6
3. Simplify: 3(2x − 5) − 2(x + 4).
A. 4x − 23
B. 4x − 7
C. 8x − 23
D. 8x – 7
4. Solve: 2x² − 7x + 3 = 0.
A. x = 3 or 1/2
B. x = −3 or −1/2
C. x = 1 or 3/2
D. x = −1 or −3/2
5. If f(x) = x² − 4x + 1, find f(−2).
A. −11
B. 5
C. 13
D. 17
6. Two parallel lines are cut by a transversal. One angle is 68°. What is the measure of its same-side
interior angle?
A. 22°
B. 68°
C. 112°
D. 292°
7. A right triangle has legs 9 cm and 12 cm. What is the hypotenuse lenght?
A. 15 cm
B. 18 cm
C. 21 cm
D. 25 cm
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8. A cylinder has radius 3 cm and height 8 cm. What is its volume?
A. 24π cm³
B. 48π cm³
C. 72π cm³
D. 144π cm³
9. The data are 4, 6, 7, 7, 9, 12, 15. What is the median?
A. 7
B. 8
C. 9
D. 60/7
10. A bag contains 5 red, 3 blue, and 2 green counters. One counter is chosen at random. What is P(not
blue)?
A. 3/10
B. 7/10
C. 2/5
D. 4/5
11. Problem Solving
The diagram shows a rectangular garden surrounded by a shaded path that is 1 m wide. The garden
measures 12 m by 8 m.
Find the area of the shaded path. Show all your working.
[5 marks]
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