BECE 2024 Mathematics Past Questions and Answers
The BECE 2024 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. Two brands of airconditioners $S$ and $T$ cost GH₵3,000.00 and GH₵4,000.00 respectively. A company budgeted GH₵20,000.00 to buy airconditioners. If the company bought 5 units of brand $S$ instead of brand $T$, how much did it save?
- A. GH₵1,000.00
- B. GH₵5,000.00
- C. GH₵20,000.00
- D. GH₵15,000.00
Answer: B. GH₵5,000.00
5 units of $T$ cost $5 \times 4000 =$ GH₵20,000 (the whole budget). 5 units of $S$ cost $5 \times 3000 =$ GH₵15,000. Saving $= 20\,000 - 15\,000 =$ GH₵5,000.
5 units of $T$ cost $5 \times 4000 =$ GH₵20,000 (the whole budget). 5 units of $S$ cost $5 \times 3000 =$ GH₵15,000. Saving $= 20\,000 - 15\,000 =$ GH₵5,000.
2. Zalia and Amina shared an amount of money in the ratio $2 : 5$. If Amina had GH₵150.00 more than Zalia, how much did they share?
- A. GH₵100.00
- B. GH₵250.00
- C. GH₵450.00
- D. GH₵350.00
Answer: D. GH₵350.00
The difference is $5 - 2 = 3$ parts, which is GH₵150, so 1 part = GH₵50. Total $= 7 \times 50 =$ GH₵350.
The difference is $5 - 2 = 3$ parts, which is GH₵150, so 1 part = GH₵50. Total $= 7 \times 50 =$ GH₵350.
3. Which of the following is an example of quantitative data?
- A. Colour
- B. Gender
- C. Marital status
- D. Length
Answer: D. Length
Quantitative data can be measured or counted with numbers. Length is measured; colour, gender and marital status are categories (qualitative data).
Quantitative data can be measured or counted with numbers. Length is measured; colour, gender and marital status are categories (qualitative data).
6. Amadu walked to a point such that he is always the same distance from two villages $P$ and $Q$. Which of the following best describes the locus of Amadu?
- A. An arc passing through line $PQ$
- B. A circle passing through line $PQ$
- C. Straight line $PQ$
- D. Perpendicular bisector of line $PQ$
Answer: D. Perpendicular bisector of line $PQ$
The locus of points equidistant from two fixed points is the perpendicular bisector of the line joining them.
The locus of points equidistant from two fixed points is the perpendicular bisector of the line joining them.
7. A bag of rice weighs 2 kg. If the empty bag weighs 150 g, find the weight of the rice. [1 kg = 1,000 g]
- A. 0.175 kg
- B. 0.185 kg
- C. 1.850 kg
- D. 1.750 kg
Answer: C. 1.850 kg
$150$ g $= 0.150$ kg. Rice $= 2 - 0.150 = 1.850$ kg.
$150$ g $= 0.150$ kg. Rice $= 2 - 0.150 = 1.850$ kg.
8. Andrews drew three lines such that the length of the first one is 10 cm, the second is 15 cm longer than the first one and the third is 9 cm less than the second. Find the length of the third line.
- A. 4 cm
- B. 14 cm
- C. 34 cm
- D. 16 cm
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9. Find the truth set of $2x - 4 < 6 + 3x$.
- A. $\{x : x < 2\}$
- B. $\{x : x > -2\}$
- C. $\{x : x > -10\}$
- D. $\{x : x < 10\}$
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10. The locus of points equidistant from a fixed point is called a
- A. chord.
- B. circle.
- C. mediator.
- D. diameter.
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11. Evaluate: $\sqrt{75} + \sqrt{18} - \sqrt{27}$.
- A. $2\sqrt{3} - 3\sqrt{2}$
- B. $2\sqrt{3} + 3\sqrt{2}$
- C. $\sqrt{6}$
- D. $5\sqrt{6}$
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13. A hawker is carrying a basket load of three types of fruits: oranges, mangoes and pears. If $\frac{2}{5}$ of the fruits are oranges and $\frac{6}{25}$ mangoes, what percentage of the fruits are pears?
- A. 9 %
- B. 18 %
- C. 64 %
- D. 36 %
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