Year 9 Cambridge Mathematics Final
Test
Time allowed: 1 hour 30 minutes
Total Marks: 80
Section A: Number (20 marks)
1. 1. Evaluate the following:
a) 2^3 × 5 - 4^2
b) 3/4 + 2/3
c) Simplify: 5/8 ÷ 10/16
2. 2. Express 0.0072 in standard form.
3. 3. Write 135 as a product of its prime factors.
4. 4. A shop offers a 15% discount on a jacket costing $80. Calculate the sale price.
5. 5. A bag contains 2 red, 5 blue, and 3 green marbles. What is the probability of picking:
a) a blue marble?
b) a red or green marble?
6. 6. Convert 4.5 km into meters.
7. 7. Round 4537.296 to 2 decimal places.
Section B: Algebra (20 marks)
8. 1. Simplify the expression:
a) 3x + 4x - 2 + 5
b) (x + 3)(x - 2)
9. 2. Solve for x:
a) 5x - 7 = 2x + 8
b) 2x/5 = 6
10. 3. Factorise completely:
a) x^2 - 9
b) x^2 + 5x + 6
11. 4. The nth term of a sequence is 3n + 2. Find the 5th and 10th terms.
12. 5. A rectangle has a length of 2x + 3 and width x - 1. Find the expression for the area.
Section C: Geometry & Measurement (20 marks)
13. 1. Calculate the interior angle of a regular pentagon.
14. 2. The area of a triangle is 30 cm². Its base is 10 cm. Find the height.
15. 3. A circle has a radius of 7 cm. Find the circumference. Use π = 3.14.
16. 4. A cube has volume 125 cm³. Find the length of one side.
17. 5. Convert 120° to radians. Give your answer in terms of π.
18. 6. The scale on a map is 1:25,000. What is the actual distance (in km) represented by 8
cm on the map?
19. 7. Find the length of the hypotenuse in a right-angled triangle with legs 6 cm and 8 cm.
20. 8. Name the transformation: A shape is flipped over the y-axis.
Section D: Data Handling & Probability (20 marks)
21. 1. Find the mean, median, and mode of the set: 4, 8, 6, 4, 10, 6, 4
22. 2. A die is rolled. What is the probability of getting:
a) An even number
b) A number greater than 4
23. 3. The frequency table shows marks scored by students:
| Marks | Frequency |
|-------|-----------|
|1 |2
|
|2 |5
|
|3 |7
|
|4 |3
|
|5 |3
|
Find:
a) The modal mark
b) The total number of students
c) The mean mark
24. 4. A spinner has 4 equal sectors labeled A, B, C, and D. What is the probability of not
getting A in one spin?
25. 5. A bar chart shows 30 students’ favorite fruits: Apple (10), Banana (8), Orange (5),
Grapes (7). What fraction of students prefer oranges?
26. 6. If the probability of raining tomorrow is 0.4, what is the probability it will not rain?
27. 7. A survey shows 60% of students walk to school. If 150 students were asked, how
many walk?
Section B
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