BECE 2004 Mathematics Past Questions and Answers
The BECE 2004 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 the set A = {1, 2, 3, 4, 5} and the set B = {2, 4, 6}, find the number of members in the set A U B.
- A. 8
- B. 6
- C. 5
- D. 2
Answer: B. 6
Union (U) is a set of the list of elements in both sets. If an element is found in both set, it is written only once
A U B = {1, 2, 3, 4, 5, 6}
The number of members in A U B is 6.
Union (U) is a set of the list of elements in both sets. If an element is found in both set, it is written only once
A U B = {1, 2, 3, 4, 5, 6}
The number of members in A U B is 6.
2. How many faces has a cuboid?
- A. 3
- B. 4
- C. 5
- D. 6
Answer: D. 6
Faces of a cuboid
Faces of a cuboid
3. Evaluate $\frac{0.036}{0.02}$
- A. 0.018
- B. 0.18
- C. 1.8
- D. 18.0
Answer: C. 1.8
Change the decimals 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.
0.036 = 0.⌒0⌒3⌒6. = 36 x 10$^{-3}$
0.02 = 0.⌒0⌒2. = 2 x 10$^{-2}$
$\frac{0.036}{0.02}$ = $\frac{36x{10}^{-3}}{2x{10}^{-2}}$
Note:
1. 2 divides itself 1 and 36, 18 times
2. Apply law of division of indices to simplify the base 10s
Law of division of indices
$\frac{{a}^{m}}{{a}^{n}}$ = a$^{m - n}$
$\frac{0.036}{0.02}$ = 18 x 10$^{-3 - (-2)}$
Note: - - = +
$\frac{0.036}{0.02}$ = 18 x 10$^{-3 + 2}$
$\frac{0.036}{0.02}$ = 18 x 10$^{-1}$
Change the whole number x 10$^{-n}$ back to decimal by moving the decimal point n times to the left.
Every whole number has a decimal point at the end which is not written.
18 = 18.0
In 18 x 10$^{-1}$, you are to move the decimal point once to the left.
18 x 10$^{-1}$ = 1.⌒8.0 = 1.8
Change the decimals 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.
0.036 = 0.⌒0⌒3⌒6. = 36 x 10$^{-3}$
0.02 = 0.⌒0⌒2. = 2 x 10$^{-2}$
$\frac{0.036}{0.02}$ = $\frac{36x{10}^{-3}}{2x{10}^{-2}}$
Note:
1. 2 divides itself 1 and 36, 18 times
2. Apply law of division of indices to simplify the base 10s
Law of division of indices
$\frac{{a}^{m}}{{a}^{n}}$ = a$^{m - n}$
$\frac{0.036}{0.02}$ = 18 x 10$^{-3 - (-2)}$
Note: - - = +
$\frac{0.036}{0.02}$ = 18 x 10$^{-3 + 2}$
$\frac{0.036}{0.02}$ = 18 x 10$^{-1}$
Change the whole number x 10$^{-n}$ back to decimal by moving the decimal point n times to the left.
Every whole number has a decimal point at the end which is not written.
18 = 18.0
In 18 x 10$^{-1}$, you are to move the decimal point once to the left.
18 x 10$^{-1}$ = 1.⌒8.0 = 1.8
4. The angle formed by one complete revolution is equivalent to
- A. one right angle
- B. two right angles
- C. three right angles
- D. four right angles
Answer: D. four right angles
Angle formed by one complete revolution is 360°.
Right angle is 90°
4 x 90° = 360°
Angle formed by one complete revolution is 360°.
Right angle is 90°
4 x 90° = 360°
5. If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?
- A. Set of whole numbers up to 6
- B. Set of counting numbers less than 6
- C. Set of counting numbers greater than 6
- D. Set of integers less than 6
Answer: B. Set of counting numbers less than 6
Note:
1. Up to means the number is also included
2. integers can be both positive and negative. Set P doesn't contain negative integers
Note:
1. Up to means the number is also included
2. integers can be both positive and negative. Set P doesn't contain negative integers
6. Which of the following numbers is the next prime number greater than 23 ?
- A. 17
- B. 24
- C. 25
- D. 29
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7. Simplify -35 – (-15) + (-30)
- A. 17
- B. –50
- C. 50
- D. 30
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8. Write 78910 correct to the nearest thousand.
- A. 70,000
- B. 78,000
- C. 79,000
- D. 80,000
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9. Simplify $\frac{{2}^{10}x{3}^{2}}{{3}^{6}x{2}^{8}}$
- A. $\frac{{2}^{2}}{{3}^{4}}$
- B. $\frac{{3}^{4}}{{2}^{2}}$
- C. 3$^{3}$ x 2$^{4}$
- D. $\frac{{2}^{4}}{{3}^{4}}$
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10. Which of the following inequalities is represented on the number line below?
- A. -2 < x < 3
- B. -2 ≤ x < 3
- C. -2 ≤ x ≤ 3
- D. -2 < x ≤ 3
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