BECE 2002 June B Mathematics Past Questions and Answers
The BECE 2002 June B Mathematics paper has 40 objective and 5 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. State the property used in the operation a(b+c) = ab + ac.
- A. Associative
- B. Distributive
- C. Commutative
- D. Universal
Answer: B. Distributive
The commutative property states that we can swap numbers over and still get the same answer.
Commutative Property
1. a + b = b + a
2. a x b = b x a
The associative property states that it doesn't matter how we group the numbers (i.e. which we calculate first).
Associative Property
1. (a + b) + c = a + (b + c)
2. (a x b) x b = a x (b x c)
The distributive property states that multiplying the sum of two or more addends by a number is the same as multiplying each addend individually by the number and then adding the products together.
Distributive Property
a × (b + c) = a × b + a × c
The commutative property states that we can swap numbers over and still get the same answer.
Commutative Property
1. a + b = b + a
2. a x b = b x a
The associative property states that it doesn't matter how we group the numbers (i.e. which we calculate first).
Associative Property
1. (a + b) + c = a + (b + c)
2. (a x b) x b = a x (b x c)
The distributive property states that multiplying the sum of two or more addends by a number is the same as multiplying each addend individually by the number and then adding the products together.
Distributive Property
a × (b + c) = a × b + a × c
2. Simplify 0.1 x 0.02 x 0.003 (leaving your answer in standard form)
- A. 6x10$^{-7}$
- B. 6x10$^{-6}$
- C. 6x10$^{5}$
- D. 6x10$^{6}$
Answer: B. 6x10$^{-6}$
Change the decimal to whole number x 10$^{-n}$.
Where n is the number of times you have to move the decimal point to the right to obtain a whole number.
0.1 = 0.⌒1. = 1 x 10$^{-1}$
0.02 = 0.⌒0⌒2. = 2 x 10$^{-2}$
0.003 = 0.⌒0⌒0⌒3. = 3 x 10$^{-3}$
0.1 x 0.02 x 0.003 = 1 x 10$^{-1}$ x 2 x 10$^{-2}$ x 3 x 10$^{-3}$
Law of multiplication of indices
a$^{m}$ x a$^{n}$ = a$^{m + m}$
0.1 x 0.02 x 0.003 = 1 x 2 x 3 x 10$^{-1}$ x 10$^{-2}$ x 10$^{-3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-1 + -2 + -3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-1 - 2 - 3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-6}$
Change the decimal to whole number x 10$^{-n}$.
Where n is the number of times you have to move the decimal point to the right to obtain a whole number.
0.1 = 0.⌒1. = 1 x 10$^{-1}$
0.02 = 0.⌒0⌒2. = 2 x 10$^{-2}$
0.003 = 0.⌒0⌒0⌒3. = 3 x 10$^{-3}$
0.1 x 0.02 x 0.003 = 1 x 10$^{-1}$ x 2 x 10$^{-2}$ x 3 x 10$^{-3}$
Law of multiplication of indices
a$^{m}$ x a$^{n}$ = a$^{m + m}$
0.1 x 0.02 x 0.003 = 1 x 2 x 3 x 10$^{-1}$ x 10$^{-2}$ x 10$^{-3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-1 + -2 + -3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-1 - 2 - 3}$
0.1 x 0.02 x 0.003 = 6 x 10$^{-6}$
3. Express $\frac{1}{25}$ as a decimal fraction.
- A. 0.4
- B. 0.04
- C. 0.004
- D. 0.0004
Answer: B. 0.04
| | 0.04 |
|---|---|
| 25 | 100 -100 00 |
| | 0.04 |
|---|---|
| 25 | 100 -100 00 |
4. In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?
- A. 113
- B. 100
- C. 50
- D. 38
Answer: C. 50
The total percentage of the candidates is 100%
Percentage of candidates who passed = 100% - Percentage who failed
Percentage of candidates who passed = 100% - 25%
Percentage of candidates who passed = 75%
If 75% = 150
25% = $\frac{150 x 25\%}{75\%}$ = 2 x 25 = 50
Note: 75 divides itself 1 and 150, 2 times.
The total percentage of the candidates is 100%
Percentage of candidates who passed = 100% - Percentage who failed
Percentage of candidates who passed = 100% - 25%
Percentage of candidates who passed = 75%
If 75% = 150
25% = $\frac{150 x 25\%}{75\%}$ = 2 x 25 = 50
Note: 75 divides itself 1 and 150, 2 times.
5. How many faces has a cube?
- A. 8
- B. 6
- C. 5
- D. 4
Answer: B. 6
Faces of a cube
Faces of a cube
6. Simplify 2$^{8}$ ÷ 2$^{3}$
- A. 2$^{24}$
- B. 2$^{10}$
- C. 2$^{5}$
- D. 2$^{3}$
Answer and explanation: practise this paper on ePrep.
7. The Venn diagram below shows the number of pupils in a class of 40, who speak Twi or Ga or neither.
Use it to answer the question below.
How many pupils speak Twi and Ga?
Use it to answer the question below.
How many pupils speak Twi and Ga?
- A. 17
- B. 11
- C. 7
- D. 5
Answer and explanation: practise this paper on ePrep.
8. Use it to answer the question below.
How many pupils speak neither Twi nor Ga?
How many pupils speak neither Twi nor Ga?
- A. 17
- B. 11
- C. 7
- D. 5
Answer and explanation: practise this paper on ePrep.
9. Find the least common multiple (LCM) of the numbers 10, 15 and 25.
- A. 30
- B. 60
- C. 120
- D. 150
Answer and explanation: practise this paper on ePrep.
10. 
Which of the following expression is illustrated on the number line above?
Which of the following expression is illustrated on the number line above?
- A. x < -3
- B. x ≤ -3
- C. x > -3
- D. x ≥ -3
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Answer all 45 questions of the BECE 2002 June B Mathematics paper
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