BECE 2023 Mathematics Past Questions and Answers
The BECE 2023 Mathematics paper has 40 objective and 6 theory questions. Here are sample objective questions with the correct answers and explanations. Sit the full paper with the real time limit on ePrep.
Sample questions with answers
1. Write 0.01723 in standard form.
- A. $0.01723 \times 10^{-2}$
- B. $0.01723 \times 10^{2}$
- C. $1.723 \times 10^{-2}$
- D. $1.723 \times 10^{2}$
Answer: C. $1.723 \times 10^{-2}$
In standard form the first number must be between 1 and 10. Move the point 2 places right to get 1.723, so the power is $-2$: $1.723 \times 10^{-2}$.
In standard form the first number must be between 1 and 10. Move the point 2 places right to get 1.723, so the power is $-2$: $1.723 \times 10^{-2}$.
2. What is the value of $3x^2 + 2x - 7$ when $x = -3$?
- A. $-40$
- B. $-33$
- C. 14
- D. 26
Answer: C. 14
Answer: C. 3(−3)² + 2(−3) − 7 = 27 − 6 − 7 = 14.
Answer: C. 3(−3)² + 2(−3) − 7 = 27 − 6 − 7 = 14.
3. Find the image of the point $S(-2, 2)$ when it is reflected in the $y$-axis.
- A. $(2, -2)$
- B. $(2, 2)$
- C. $(-2, -2)$
- D. $(-2, 2)$
Answer: B. $(2, 2)$
Reflecting in the $y$-axis changes the sign of $x$: $(-2, 2) \to (2, 2)$.
Reflecting in the $y$-axis changes the sign of $x$: $(-2, 2) \to (2, 2)$.
4. What is the actual bearing of S$25^\circ$E?
- A. $035^\circ$
- B. $065^\circ$
- C. $115^\circ$
- D. $155^\circ$
Answer: D. $155^\circ$
S$25^\circ$E is $25^\circ$ east of south. South is $180^\circ$, so the bearing is $180^\circ - 25^\circ = 155^\circ$.
S$25^\circ$E is $25^\circ$ east of south. South is $180^\circ$, so the bearing is $180^\circ - 25^\circ = 155^\circ$.
5. Given that $m = \frac{b}{2} - t$, make $t$ the subject.
- A. $t = \frac{b - 2m}{2}$
- B. $t = \frac{2m - b}{2}$
- C. $t = \frac{2b - m}{2}$
- D. $t = \frac{b + 2m}{2}$
Answer: A. $t = \frac{b - 2m}{2}$
$t = \frac{b}{2} - m = \frac{b - 2m}{2}$.
$t = \frac{b}{2} - m = \frac{b - 2m}{2}$.
6. Expand $(x - 2)(x + 4)$.
- A. $x^2 + 2x - 8$
- B. $x^2 + 2x + 8$
- C. $x^2 - 4x - 8$
- D. $x^2 - x - 8$
Answer and explanation: practise this paper on ePrep.
7. If $n(E) = 15$, $n(F) = 20$ and $n(E \cap F) = 6$, find $n(E \cup F)$.
- A. 21
- B. 26
- C. 29
- D. 35
Answer and explanation: practise this paper on ePrep.
8. Tony shared $\frac{2}{3}$ of his plot of land equally among his three sons. What fraction of the plot did each get?
- A. $\frac{2}{9}$
- B. $\frac{1}{3}$
- C. $\frac{1}{2}$
- D. $\frac{5}{9}$
Answer and explanation: practise this paper on ePrep.
9. Araba and Ama share 20 oranges in such a way that Ama receives 12 oranges. Find the ratio of Araba's share to that of Ama.
- A. $2 : 5$
- B. $3 : 5$
- C. $3 : 2$
- D. $2 : 3$
Answer and explanation: practise this paper on ePrep.
10. Solve: $3(x - 2) - \frac{x}{3} + 6 > 0$.
- A. $x < 0$
- B. $x > 0$
- C. $x > 3$
- D. $x > \frac{1}{8}$
Answer and explanation: practise this paper on ePrep.
Answer all 46 questions of the BECE 2023 Mathematics paper
Timed papers like the real exam, instant marking, worked explanations, topic tests and mock exams. Theory answers marked by real teachers. 3 weeks free.
Practise free on ePrep