BECE 2022 Mathematics Past Questions and Answers
The BECE 2022 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. If $x = \frac{b^2 - 4ac}{2a}$, find $x$ when $a = 2$, $b = -4$ and $c = -2$.
- A. 0
- B. 4
- C. 8
- D. 16
Answer: C. 8
$x = \frac{(-4)^2 - 4(2)(-2)}{2(2)} = \frac{16 + 16}{4} = 8$.
$x = \frac{(-4)^2 - 4(2)(-2)}{2(2)} = \frac{16 + 16}{4} = 8$.
2. A mother has GH₵5.00 and gives each of her 3 children GH₵1.50 as pocket money. How much is left for her?
- A. GH₵0.15
- B. GH₵0.50
- C. GH₵3.50
- D. GH₵4.50
Answer: B. GH₵0.50
Given out $= 3 \times 1.50 = 4.50$. Left $= 5.00 - 4.50 =$ GH₵0.50.
Given out $= 3 \times 1.50 = 4.50$. Left $= 5.00 - 4.50 =$ GH₵0.50.
3. What is the length of the side of a square of area 225 cm$^2$?
- A. 12.00 cm
- B. 15.00 cm
- C. 56.25 cm
- D. 112.50 cm
Answer: B. 15.00 cm
Answer: B. The side of a square is the square root of its area: √225 = 15 cm.
Answer: B. The side of a square is the square root of its area: √225 = 15 cm.
4. The volume of a cylinder is $40\pi$ cm$^3$. If the height of the cylinder is 10 cm, find the base radius.
- A. 1 cm
- B. 2 cm
- C. 3 cm
- D. 4 cm
Answer: B. 2 cm
$\pi r^2 \times 10 = 40\pi \Rightarrow r^2 = 4 \Rightarrow r = 2$ cm.
$\pi r^2 \times 10 = 40\pi \Rightarrow r^2 = 4 \Rightarrow r = 2$ cm.
5. Factorize completely $xy - xm - my + m^2$.
- A. $(x - m)(y - m)$
- B. $(m - y)(x - m)$
- C. $(y - m)(m - x)$
- D. $(m - y)(m - x)$
Answer: A. $(x - m)(y - m)$
$x(y - m) - m(y - m) = (x - m)(y - m)$. (Option D, $(m - y)(m - x)$, multiplies out to the same expression, but A is the standard form expected.)
$x(y - m) - m(y - m) = (x - m)(y - m)$. (Option D, $(m - y)(m - x)$, multiplies out to the same expression, but A is the standard form expected.)
6. Solve: $5x - (7x - 3) \le 9$.
- A. $x \le -3$
- B. $x \ge -3$
- C. $x \ge -6$
- D. $x \le 3$
Answer and explanation: practise this paper on ePrep.
7. Express $\frac{3}{8}$ as a decimal fraction.
- A. 0.375
- B. 0.429
- C. 0.365
- D. 0.625
Answer and explanation: practise this paper on ePrep.
8. Which of the following is not a quadrilateral?
- A. Parallelogram
- B. Rhombus
- C. Triangle
- D. Rectangle
Answer and explanation: practise this paper on ePrep.
9. A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?
- A. 3.10 p.m.
- B. 4.10 p.m.
- C. 5.10 p.m.
- D. 6.10 p.m.
Answer and explanation: practise this paper on ePrep.
10. Expand: $(2a - b)(a - b)$.
- A. $2a^2 + 3ab + b$
- B. $2a^2 - 3ab + b^2$
- C. $2a^2 - 3ab - b^2$
- D. $2a^2 + 3ab - b$
Answer and explanation: practise this paper on ePrep.
Answer all 46 questions of the BECE 2022 Mathematics paper
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