Total marks: 60 · Duration: 1 hour 30 minutes
Instructions to candidates
- This paper has 60 questions. Answer ALL questions.
- Each question is worth ONE mark.
- For each question there are four options, A, B, C and D. Choose the ONE you think is correct. In the January 2027 sitting, Paper 01 is taken online, so you select your answer on screen.
- Calculators are NOT allowed in Paper 01. Every question can be done with written or mental working.
- Diagrams are not drawn to scale. Where a question describes a figure in words, you may find it helpful to sketch it.
- A column vector is written (x, y). A 2 × 2 matrix is written row by row with a semicolon between the rows: (4 1 ; 2 3) has first row 4, 1 and second row 2, 3.
Paper
Section A — Multiple Choice (60 marks)
1. Evaluate 0.36 × 0.5
A) 0.018
B) 0.86
C) 1.8
D) 0.18
2. 3/4 + 2/3 =
A) 5/7
B) 1 5/12
C) 6/7
D) 1 1/12
3. 2½ ÷ 1/4 =
A) 8
B) 10
C) 5/8
D) 2 1/8
4. 0.00063 written in standard form is
A) 6.3 × 10⁴
B) 63 × 10⁻⁵
C) 6.3 × 10⁻⁴
D) 6.3 × 10⁻³
5. 4.9876 correct to 2 decimal places is
A) 4.99
B) 5.00
C) 4.9
D) 4.98
6. The highest common factor (HCF) of 36 and 60 is
A) 6
B) 4
C) 12
D) 180
7. The lowest common multiple (LCM) of 8 and 12 is
A) 24
B) 48
C) 4
D) 96
8. Which of the following is a prime number?
A) 27
B) 39
C) 33
D) 29
9. 2³ × 2⁴ =
A) 2¹²
B) 4¹²
C) 4⁷
D) 2⁷
10. In the number 3.0715, the digit 7 represents
A) 7 units
B) 7 tenths
C) 7 hundredths
D) 7 thousandths
11. The binary number 1011₂ written in base 10 is
A) 9
B) 11
C) 1011
D) 13
12. The simple interest on $5000 invested for 3 years at 4% per annum is
A) $5600
B) $200
C) $6000
D) $600
13. A shirt costs $80 before VAT. VAT is charged at 12.5%. The price of the shirt including VAT is
A) $82.50
B) $90.00
C) $92.50
D) $10.00
14. The marked price of a radio is $250. A discount of 20% is given. The selling price is
A) $50
B) $230
C) $270
D) $200
15. A vendor buys a bag of mangoes for $60 and sells it for $75. The percentage profit is
A) 75%
B) 20%
C) 15%
D) 25%
16. The exchange rate is US$1 = J$155. How many US dollars would you receive for J$7750?
A) US$50
B) US$500
C) US$48
D) US$5
17. A fridge is bought on hire purchase with a deposit of $300 and 12 monthly payments of $85. The total hire purchase price is
A) $1020
B) $1320
C) $1200
D) $385
18. $2000 is invested at 5% per annum compound interest. The amount after 2 years is
A) $2205
B) $2200
C) $2100
D) $205
19. A worker is paid $18.50 per hour for a 40-hour week, and time and a half for overtime. One week she works 46 hours. Her total pay is
A) $851.00
B) $962.00
C) $906.50
D) $166.50
20. Questions 20, 21 and 22 refer to the sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}. A ∩ B =
A) {2, 4}
B) {6, 8, 10}
C) {1, 3, 5}
D) {1, 2, 3, 4, 5, 6, 8, 10}
21. Using the sets in Question 20, n(A ∪ B) =
A) 7
B) 10
C) 2
D) 8
22. Using the sets in Question 20, A′ (the complement of A) =
A) {1, 3, 5, 7, 9}
B) {2, 4, 6, 8, 10}
C) {6, 7, 8, 9, 10}
D) {7, 9}
23. The number of subsets of the set {p, q, r} is
A) 3
B) 6
C) 8
D) 9
24. Using π = 22/7, the area of a circle of radius 7 cm is
A) 154 cm²
B) 22 cm²
C) 308 cm²
D) 44 cm²
25. Using π = 22/7, the circumference of a circle of diameter 14 cm is
A) 22 cm
B) 44 cm
C) 154 cm
D) 88 cm
26. The volume of a cuboid measuring 5 cm by 4 cm by 3 cm is
A) 12 cm³
B) 94 cm³
C) 47 cm³
D) 60 cm³
27. 2.5 km expressed in metres is
A) 25 000 m
B) 2500 m
C) 25 m
D) 250 m
28. The area of a triangle with base 8 cm and perpendicular height 5 cm is
A) 20 cm²
B) 40 cm²
C) 13 cm²
D) 26 cm²
29. A bus travels 150 km in 2 hours 30 minutes. Its average speed is
A) 75 km/h
B) 60 km/h
C) 50 km/h
D) 65.2 km/h
30. A ferry leaves at 10:45 and the journey takes 2 hours 50 minutes. It arrives at
A) 13:45
B) 12:35
C) 13:25
D) 13:35
31. The perimeter of a rectangle 12 cm long and 7 cm wide is
A) 38 cm
B) 84 cm
C) 26 cm
D) 19 cm
32. The mean of 4, 7, 9, 10 and 15 is
A) 45
B) 9
C) 7
D) 11
33. The median of 3, 8, 5, 12, 7 and 9 is
A) 7
B) 8
C) 7.5
D) 6.5
34. The mode of 2, 3, 3, 5, 5, 5, 8 is
A) 5
B) 8
C) 3
D) 4.4
35. The range of 12, 18, 7, 25 and 16 is
A) 18
B) 13
C) 7
D) 25
36. In a survey of 40 students, 12 walk to school. On a pie chart, the angle of the sector for walking is
A) 108°
B) 12°
C) 120°
D) 30°
37. A bag contains 3 red, 5 blue and 2 green marbles. A marble is taken at random. The probability that it is NOT blue is
A) 1/5
B) 1/2
C) 5/8
D) 3/10
38. 3(2x − 1) − 2(x + 4) simplifies to
A) 4x + 5
B) 4x − 11
C) 4x − 9
D) 8x − 11
39. If 5x − 7 = 2x + 8, then x =
A) 15
B) 1/3
C) 5
D) 3
40. If a = 3 and b = −2, then a² − 2ab =
A) −3
B) 3
C) 15
D) 21
41. x² − 9 factorised completely is
A) (x − 9)(x + 1)
B) x(x − 9)
C) (x − 3)(x + 3)
D) (x − 3)²
42. If v = u + at, then t =
A) (v + u)/a
B) a(v − u)
C) (v − u)/a
D) v − u − a
43. (x + 3)(x − 5) =
A) x² − 15
B) x² + 2x − 15
C) x² − 2x − 15
D) x² − 8x − 15
44. The solution of 3x + 4 > 19 is
A) x < 5
B) x > 23/3
C) x > 15
D) x > 5
45. 6x³y² ÷ 2xy =
A) 3x⁴y³
B) 3x²y
C) 4x²y
D) 3x³y²
46. "Five less than twice a number n" written as an algebraic expression is
A) 2(n − 5)
B) 5n − 2
C) 2n − 5
D) 5 − 2n
47. The gradient of the straight line through (1, 2) and (4, 11) is
A) 1/3
B) 3
C) 9
D) −3
48. The y-intercept of the line 2y = 6x − 8 is
A) 6
B) −8
C) −4
D) 3
49. If f(x) = 3x − 2, then f(−1) =
A) −5
B) 5
C) 1
D) −1
50. If g(x) = x² + 1, then g(3) =
A) 16
B) 9
C) 7
D) 10
51. If f(x) = 2x + 5, then f⁻¹(x) =
A) 2x − 5
B) (x + 5)/2
C) (x − 5)/2
D) 1/(2x + 5)
52. Which of these points lies on the line y = 2x − 3?
A) (2, 3)
B) (0, 3)
C) (5, 4)
D) (4, 5)
53. The size of each interior angle of a regular hexagon is
A) 60°
B) 108°
C) 135°
D) 120°
54. Two angles on a straight line are 3x° and (2x + 30)°. The value of x is
A) 36
B) 150
C) 30
D) 42
55. A right-angled triangle has shorter sides of 9 cm and 12 cm. The length of the hypotenuse is
A) 13 cm
B) 225 cm
C) 15 cm
D) 21 cm
56. In a right-angled triangle, the side opposite angle θ is 5 cm and the side adjacent to θ is 12 cm. tan θ =
A) 12/5
B) 5/13
C) 12/13
D) 5/12
57. The image of the point (3, −2) after a reflection in the y-axis is
A) (−3, 2)
B) (−3, −2)
C) (−2, 3)
D) (3, 2)
58. The bearing of B from A is 070°. The bearing of A from B is
A) 250°
B) 160°
C) 290°
D) 110°
59. The column vectors a = (2, 5) and b = (3, −1). a + b =
A) (5, 6)
B) (5, 4)
C) (6, −5)
D) (−1, 6)
60. The determinant of the matrix (4 1 ; 2 3) is
A) 10
B) 14
C) 12
D) 2
END OF TEST