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 on rough paper.
- The questions follow the syllabus spread for Paper 01: Number Theory and Computation (1–6), Consumer Arithmetic (7–14), Sets (15–20), Measurement (21–28), Statistics (29–34), Algebra (35–40), Relations, Functions and Graphs (41–48), Geometry and Trigonometry (49–56), Vectors and Matrices (57–60).
- Take π as 22/7 unless a question says otherwise.
- A column vector is written (x, y). A 2 × 2 matrix is written row by row with a semicolon between the rows: (5 2 ; 3 4) has first row 5, 2 and second row 3, 4.
Paper
Section A — Multiple Choice (60 marks)
1. 2.4 × 0.05 =
A) 1.2
B) 0.012
C) 0.12
D) 12
2. 1 2/3 − 3/4 =
A) 11/12
B) 7/12
C) 1 1/12
D) 1/12
3. 3 400 000 written in standard form is
A) 34 × 10⁵
B) 3.4 × 10⁵
C) 3.4 × 10⁷
D) 3.4 × 10⁶
4. 0.07052 written correct to 2 significant figures is
A) 0.07
B) 0.071
C) 0.0705
D) 0.070
5. $84 is shared between Kofi and Ama in the ratio 3 : 4. Kofi's share is
A) $12
B) $36
C) $48
D) $28
6. The next term in the sequence 2, 5, 10, 17, 26, … is
A) 35
B) 36
C) 33
D) 37
7. A shirt is priced at $60 before 15% VAT is added. The price including VAT is
A) $69
B) $75
C) $9
D) $51
8. A vendor buys a hamper for $250 and sells it for $300. The percentage profit on the cost price is
A) 50%
B) 16⅔%
C) 20%
D) 25%
9. The simple interest on $800 invested for 3 years at 5% per annum is
A) $40
B) $920
C) $1200
D) $120
10. The exchange rate is US$1 = EC$2.70. The value of US$40 in Eastern Caribbean dollars is
A) EC$108
B) EC$42.70
C) EC$270
D) EC$10.80
11. A bicycle with a label price of $400 is sold at a discount of 15%. The selling price is
A) $60
B) $385
C) $340
D) $460
12. A household uses 300 units of electricity. Each unit costs 20 cents and there is a fixed charge of $15. The bill is
A) $60
B) $75
C) $45
D) $90
13. A worker is paid $12 an hour for a 40-hour week. Overtime is paid at double time. Her pay for a week in which she works 45 hours is
A) $600
B) $540
C) $660
D) $560
14. A minibus bought for $40 000 loses 25% of its value at the start of each year. Its value after 2 years is
A) $20 000
B) $30 000
C) $10 000
D) $22 500
15. U = {1, 2, 3, …, 10} and E = {even numbers}. n(E′) =
A) 4
B) 5
C) 6
D) 10
16. n(P) = 12, n(Q) = 9 and n(P ∩ Q) = 4. n(P ∪ Q) =
A) 21
B) 25
C) 17
D) 13
17. The number of subsets of {a, b, c} is
A) 3
B) 6
C) 7
D) 8
18. The region of a Venn diagram containing elements that are in P but not in Q is
A) P ∩ Q′
B) P′ ∩ Q
C) P ∪ Q′
D) (P ∩ Q)′
19. In a class of 30 students, 18 like tea, 15 like coffee and 5 like neither. The number who like both is
A) 3
B) 10
C) 8
D) 13
20. X = {factors of 12} and Y = {factors of 18}. X ∩ Y =
A) {1, 2, 3, 4, 6}
B) {1, 2, 3, 6}
C) {2, 3, 6}
D) {1, 2, 3, 6, 9, 12}
21. The perimeter of a semicircle of diameter 14 cm, including its straight edge, is
A) 36 cm
B) 22 cm
C) 44 cm
D) 58 cm
22. The area of a triangle with base 12 cm and perpendicular height 7 cm is
A) 84 cm²
B) 19 cm²
C) 38 cm²
D) 42 cm²
23. The volume of a cuboid measuring 5 cm by 4 cm by 3 cm is
A) 47 cm³
B) 60 cm³
C) 94 cm³
D) 12 cm³
24. 3.5 km expressed in metres is
A) 350 m
B) 35 000 m
C) 3500 m
D) 0.35 m
25. The area of a circle of radius 7 cm is
A) 44 cm²
B) 22 cm²
C) 308 cm²
D) 154 cm²
26. A car travels 150 km in 2 hours 30 minutes. Its average speed is
A) 60 km/h
B) 75 km/h
C) 50 km/h
D) 65 km/h
27. A map is drawn to a scale of 1 : 50 000. A distance of 6 cm on the map represents
A) 30 km
B) 3 km
C) 0.3 km
D) 300 km
28. The area of a parallelogram with base 9 cm and perpendicular height 6 cm is
A) 30 cm²
B) 27 cm²
C) 54 cm²
D) 15 cm²
29. The mean of 4, 7, 9, 12 and 13 is
A) 9
B) 7
C) 10
D) 45
30. The mode of 3, 5, 5, 6, 7, 7, 7, 9 is
A) 5
B) 6
C) 6.125
D) 7
31. The range of 12, 4, 19, 8 and 15 is
A) 7
B) 19
C) 15
D) 11
32. In a pie chart showing how 60 students travel to school, 15 students walk. The angle of the sector for walking is
A) 60°
B) 90°
C) 15°
D) 120°
33. A fair six-sided die is rolled once. The probability of getting a prime number is
A) 1/3
B) 2/3
C) 1/6
D) 1/2
34. The median of 6, 2, 9, 4, 7 and 3 is
A) 5
B) 4
C) 6
D) 5.5
35. 3(2x − 1) − 2(x − 4) simplifies to
A) 4x − 11
B) 4x − 5
C) 4x + 5
D) 8x + 5
36. If 5x − 7 = 2x + 8, then x =
A) 3
B) 5
C) 1/3
D) 15/7
37. x² − 9 factorised completely is
A) (x − 3)²
B) (x − 3)(x + 3)
C) (x − 9)(x + 1)
D) x(x − 9)
38. Given that a = 3 and b = −2, the value of a² − 2ab is
A) −3
B) 3
C) 15
D) 21
39. A = πr². Making r the subject gives
A) r = √(A/π)
B) r = A/π²
C) r = √A / π
D) r = πA²
40. The solution of the simultaneous equations x + y = 7 and x − y = 3 is
A) x = 2, y = 5
B) x = 4, y = 3
C) x = 5, y = 2
D) x = 3, y = 4
41. f(x) = 3x − 4. f(−2) =
A) 2
B) −2
C) 10
D) −10
42. The gradient of the straight line through the points (1, 2) and (4, 11) is
A) 1/3
B) 9
C) 3
D) −3
43. The y-intercept of the line 2y = 6x − 8 is
A) −4
B) −8
C) 3
D) 4/3
44. The equation of the line parallel to y = 2x + 1 that passes through (0, 5) is
A) y = −2x + 5
B) y = 2x + 5
C) y = ½x + 5
D) y = 5x + 2
45. f(x) = x + 3 and g(x) = 2x. fg(4) =
A) 14
B) 10
C) 11
D) 7
46. f(x) = (x + 1)/2. f⁻¹(x) =
A) 2x + 1
B) (x − 1)/2
C) x/2 − 1
D) 2x − 1
47. The solution of the inequality 3x − 2 > 7 is
A) x > 3
B) x > 5/3
C) x < 3
D) x > 9
48. On a distance–time graph, a horizontal line segment shows that the object is
A) moving at a constant speed
B) stationary
C) speeding up
D) returning to its starting point
49. The sum of the interior angles of a hexagon is
A) 540°
B) 720°
C) 1080°
D) 360°
50. Each exterior angle of a regular octagon is
A) 45°
B) 135°
C) 60°
D) 40°
51. A right-angled triangle has shorter sides of 6 cm and 8 cm. Its hypotenuse is
A) 14 cm
B) 12 cm
C) 7 cm
D) 10 cm
52. In a right-angled triangle, the side opposite angle θ is 5 cm and the hypotenuse is 13 cm. cos θ =
A) 5/13
B) 5/12
C) 12/13
D) 13/12
53. Town B is due east of Town A. The bearing of A from B is
A) 270°
B) 090°
C) 180°
D) 000°
54. A triangle is drawn in a semicircle, with the diameter as one side and the third vertex on the arc. One of the other angles is 35°. The third angle is
A) 35°
B) 145°
C) 55°
D) 90°
55. The point (3, −2) is reflected in the x-axis. Its image is
A) (−3, −2)
B) (3, 2)
C) (−3, 2)
D) (2, 3)
56. A shape of area 5 cm² is enlarged by a scale factor of 3. The area of the image is
A) 15 cm²
B) 8 cm²
C) 9 cm²
D) 45 cm²
57. The determinant of the matrix (5 2 ; 3 4) is
A) 26
B) 6
C) 14
D) −14
58. (2 1 ; 0 3) × (1, 2) =
A) (4, 6)
B) (2, 6)
C) (4, 3)
D) (3, 5)
59. a = (3, −1) and b = (−2, 4). a + 2b =
A) (1, 3)
B) (−1, 3)
C) (4, 7)
D) (−1, 7)
60. The magnitude of the vector (6, 8) is
A) 14
B) 10
C) 48
D) 100