CXC CSEC Mathematics — Paper 1 (Multiple Choice)
Total marks: 60 · Duration: 90 minutes
Instructions to candidates
- Answer ALL questions.
- Each question is worth 3 marks.
- Write your answers on the Multiple Choice Answer Sheet provided.
- Work may be done in the spaces provided in this booklet or on separate paper if required.
- Electronic calculators may be used. All necessary working should be shown.
- Mathematical tables and silent non-programmable calculators may be used.
- If you need to change an answer, erase your first answer completely.
Paper
Section A — Multiple Choice (60 marks)
1. Which of the following is equivalent to 3(2x − 5) − 4(x − 2)?
A) 2x − 7
B) 2x − 23
C) 2x + 1
D) 10x − 7
2. A shopkeeper buys a radio for $180 and sells it for $225. What is the percentage profit?
A) 20%
B) 25%
C) 45%
D) 80%
3. Express 0.000345 in standard form.
A) 3.45 × 10⁻⁴
B) 3.45 × 10⁻³
C) 34.5 × 10⁻⁵
D) 0.345 × 10⁻³
4. The interior angle of a regular polygon is 156°. How many sides does the polygon have?
A) 12
B) 13
C) 15
D) 18
5. Given that f(x) = 2x² − 3x + 1, what is the value of f(−2)?
A) −1
B) 3
C) 11
D) 15
6. A bag contains 5 red balls, 3 blue balls and 2 green balls. If one ball is selected at random, what is the probability that it is NOT red?
A) 1/2
B) 1/5
C) 3/10
D) 2/5
7. The gradient of the line passing through the points (2, 5) and (6, 17) is:
A) 2
B) 3
C) 4
D) 6
8. Simplify: (x³)⁴ ÷ x⁵
A) x⁷
B) x¹²
C) x¹⁷
D) x⁶⁰
9. The Universal Set U = {x: 1 ≤ x ≤ 10, x is an integer}. If A = {2, 4, 6, 8, 10}, then A′ is:
A) {1, 3, 5, 7, 9}
B) {1, 2, 3, 4, 5}
C) {5, 6, 7, 8, 9, 10}
D) {2, 4, 6, 8}
10. In the diagram below, PQR is a straight line. If angle PQS = 65° and angle SQR = (3x + 5)°, calculate the value of x.
[Diagram shows a straight line PQR with point S above Q, forming two angles at Q]
A) 30
B) 35
C) 36.67
D) 40
11. The mean of five numbers is 12. If four of the numbers are 8, 10, 15 and 13, what is the fifth number?
A) 11
B) 12
C) 14
D) 16
12. Factorize completely: 6xy − 9x²y
A) 3x(2y − 3xy)
B) 3xy(2 − 3x)
C) 3y(2x − 3x²)
D) 6xy(1 − 3x)
13. In Jamaica, the exchange rate is US$1.00 = J$150.00. How many Jamaica dollars would be equivalent to US$45.00?
A) J$0.30
B) J$105.00
C) J$195.00
D) J$6,750.00
14. Solve for x: (2x − 1)/3 = (x + 4)/2
A) x = 5
B) x = 9
C) x = 11
D) x = 13
15. The bearing of town B from town A is 125°. What is the bearing of town A from town B?
A) 035°
B) 055°
C) 235°
D) 305°
16. A cone has a base radius of 7 cm and a slant height of 25 cm. Calculate the curved surface area of the cone. [Use π = 22/7]
A) 175 cm²
B) 350 cm²
C) 550 cm²
D) 700 cm²
17. Which of the following equations represents a line parallel to y = 3x − 4?
A) y = −3x + 2
B) y = 3x + 7
C) y = (1/3)x − 1
D) 3y = x − 12
18. The table below shows the frequency distribution of test scores.
| Score | 1-10 | 11-20 | 21-30 | 31-40 |
|---|---|---|---|---|
| Frequency | 5 | 12 | 8 | 5 |
What is the modal class?
A) 1-10
B) 11-20
C) 21-30
D) 31-40
19. If sin θ = 3/5 and θ is acute, what is the value of cos θ?
A) 3/4
B) 4/5
C) 5/4
D) 4/3
20. The volume of a cylinder is 1,540 cm³. If the height of the cylinder is 20 cm, calculate the radius of its base. [Use π = 22/7]
A) 3.5 cm
B) 4.95 cm
C) 7 cm
D) 24.5 cm