PART A (50 Marks)
1. Statistical Investigation (10 Marks)
1. Define the following terms and give an example of each:
Qualitative data (2 Marks)
Quantitative data (2 Marks)
2. The marks of 10 students in a test are: 45, 50, 55, 50, 60, 65, 55, 50, 70, 75.
Find the mean. (2 Marks)
Find the mode. (2 Marks)
Find the range. (2 Marks)
2. Shape & Measurement (10 Marks)
3. A triangle has angles x, 60°, and 80°. Find the value of x. (3 Marks)
4. A parallelogram has one angle measuring 75°. Find the measure of its:
Opposite angle (2 Marks)
Adjacent angle (2 Marks)
5. A cylinder has a radius of 7 cm and a height of 10 cm. Find:
The curved surface area (3 Marks, use π = 3.14)
3. Sequences & Functions (10 Marks)
6. A sequence follows the pattern 5, 10, 15, 20…
Find the common difference. (2 Marks)
Find the 12th term in the sequence. (3 Marks)
7. A geometric sequence starts with 2 and has a common ratio of 3.
Find the fifth term. (3 Marks)
8. The equation of a function is y = 3x + 2. If x = 4, find the value of y. (2
Marks)
4. Graphs & Probability (10 Marks)
9. A straight line passes through the points (1,2) and (3,6).
Find the gradient (slope) of the line. (3 Marks)
Write the equation of the line in the form y = mx + c. (3 Marks)
10. A bag contains 5 red marbles, 4 blue marbles, and 6 green marbles. If one
marble is picked at random:
Find the probability of picking a red marble. (2 Marks)
Find the probability of picking a non-red marble. (2 Marks)
5. Position & Transformation (10 Marks)
11. A shape with points A(1,2), B(3,4), and C(5,2) is translated by (3, -2).
Write the new coordinates of A, B, and C. (3 Marks)
12. A point (4,6) is reflected over the y-axis. Write the new coordinates. (2
Marks)
13. A square with side length 5 cm is enlarged by a scale factor of 3.
Find the new perimeter of the square. (3 Marks)
14. A triangle is rotated 90° clockwise about the origin. What happens to its
coordinates? (2 Marks)
PART B (50 Marks)
6. Statistical Investigation (10 Marks)
15. The ages of students in a class are: 13, 14, 15, 14, 16, 14, 15, 15, 16, 17.
Find the mean age. (3 Marks)
Find the mode. (3 Marks)
Find the range. (4 Marks)
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7. Shape & Measurement (10 Marks)
16. Find the missing angle x in the following diagram of a triangle: (Diagram will
show a triangle with angles 50° and 65°) (3 Marks)
17. A trapezium has parallel sides measuring 8 cm and 12 cm, and a height of 5 cm.
Find the area of the trapezium. (4 Marks)
18. A circle has a diameter of 14 cm.
Find the circumference (use π = 3.14). (3 Marks)
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8. Sequences & Functions (10 Marks)
19. An arithmetic sequence has the formula Tn = 4n - 3.
Find the 7th term. (3 Marks)
Find which term is equal to 25. (4 Marks)
20. A function is given as y = 2x² + 3x - 5.
Find y when x = 3. (3 Marks)
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9. Graphs & Probability (10 Marks)
21. On a graph, draw the straight line y = 2x - 1 for values of x = -2 to 2. (4
Marks, Graph to be provided in an actual paper)
22. A fair die is rolled twice.
Find the probability of rolling a 6 on both rolls. (3 Marks)
Find the probability of rolling at least one 5. (3 Marks)
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10. Position & Transformation (10 Marks)
23. A triangle has vertices A(3,4), B(5,6), and C(7,4).
Reflect the triangle over the x-axis and give the new coordinates. (4 Marks)
Rotate the triangle 90° counterclockwise about the origin and write the new
coordinates. (6 Marks)
