These are the solutions to the BECE 2025 Mathematics Paper 1. The questions without the solutions may be found at BECE 2025 Maths Paper 1.
1. What is the missing number in the sequence: -5, -2, 1, …, 7?
A. 2
B. 3
C. 4
D. 5
Answer: C
Solution
The rule for the sequence appears to be to add 3 to a number to get the next one.
Hence, we add 3 to -5 to get -2.
We add 3 to -2 to get 1.
If we add 3 to 1, we will get 4.
Adding 3 to that gives 7, which is already in the sequence.
2. The population of a town is 56782. What is this number to three significant figures?
A. 567
B. 568
C. 56700
D. 56800
Answer: D
Solution
The first three significant digits in the number 56782 are 5, 6, and 7. The number right after 7 is 8. Since it is greater than 5, we round up the 7 to get 56800 as the number’s representation to three significant figures.
3. When 0.24 is expressed in the lowest form as \( \displaystyle \frac{a}{b} \), the denominator is
A. 2
B. 5
C. 25
D. 125
Answer: C
Solution
0.24 may be written as \( \displaystyle \frac{24}{100} \). Dividing both the numerator and denominator in the fraction by their greatest common divisor, 4, we obtain the fraction in its lowest terms as \( \displaystyle \frac{6}{25} \).
4. A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?
A. 2
B. 5
C. 8
D. 10
Answer: C
Solution
This is a question involving direct proportions between a number of goats and how much food they need. More goats will need more food and fewer goat will need less food.
The ratios may be written as 20 : 500 as n : 200.
We may solve for n by writing the ratios as fractions and setting them equal to each other. Doing so gives
$$ \frac{20}{500} = \frac{n}{200} $$
Multiplying both sides by 200 gives
$$ \frac{20}{500} \times 200 = \frac{n}{200} \times 200 $$
This simplifies to
$$ n = \frac{20}{500} \times 200 = 8 $$
5. A man spends GH₵ 560.00 out of his weekly wage of GH₵ 700.00 and saves the rest. What percentage did he save?
A. 10%
B. 15%
C. 20%
D. 25%
Answer: C
Solution
The amount of money the man saved is GH₵ (700.00 – 560.00) = GH₵ 140. Writing this as a percentage of GH₵ 700.00, we get
$$ \frac{140}{700} \times 100\% $$
This quantity simplifies to 20%.
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