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BECE 2000 Mathematics Past Questions and Answers

The BECE 2000 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. M = {1, 2, 3, 8, 10} and N = {8, 1, x, 3, 2}.

If M is equal to N, what is the value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 8
  • E. 10
Answer: E. 10
Two sets A and B are equal if both have the same number of elements and all the elements in A are found in B.
2. In the Venn diagram Q is the set of numbers inside the circle and R is the set of numbers inside the triangle.

Diagram

Find Q ∩ R.
  • A. {1, 5}
  • B. {2, 3, 4}
  • C. {6, 7, 8}
  • D. {1,2,3,4,5}
Answer: A. {1, 5}
Intersection (∩) are elements that can be found in both sets

On a Venn diagram, it is the region where both sets intersect/join/overlap.
3. Simplify: 11 – (11 – 4) + 13.
  • A. –7
  • B. –17
  • C. 9
  • D. 17
Answer: D. 17
11 – (11 – 4) + 13 = 11 – (11 – 4) + 13

Note: - (-) = - - = +. - (-4) = + 4

11 – (11 – 4) + 13 = 11 – 11 + 4 + 13

11 – (11 – 4) + 13 = 17
4. What is the value of ‘4’ in the number 2,043,507?
  • A. Forty
  • B. Four hundred
  • C. Four thousand
  • D. Forty thousand
Answer: D. Forty thousand
Diagram
5. Which of the following is true?
  • A. {0, 2, 6, 9, 12} is a subset of even numbers.
  • B. {-1, 0, 2, 3, 5} is a subset of odd numbers.
  • C. {-2, -1, 1, 3, 9} is a subset of integers.
  • D. {2, 3, 5, 7, 27} is a subset of prime numbers.
Answer: C. {-2, -1, 1, 3, 9} is a subset of integers.
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
6. If (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9
  • A. 1.48994
  • B. 14.8994
  • C. 148.994
  • D. 1489.94
Answer and explanation: practise this paper on ePrep.
7. Convert 206 to a base five numeral.
  • A. 411$_{five}$
  • B. 4011$_{five}$
  • C. 3321$_{five}$
  • D. 1311$_{five}$
Answer and explanation: practise this paper on ePrep.
8. Which of the following inequalities is represented by the number line?

Diagram
  • A. x ≤ -3
  • B. x ≥ -3
  • C. x < -3
  • D. x > -3
Answer and explanation: practise this paper on ePrep.
9. The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number.
  • A. 19
  • B. 57
  • C. 63
  • D. 399
Answer and explanation: practise this paper on ePrep.
10. Simplify: $(\begin{matrix}-2 \\ 3\end{matrix})$ - $(\begin{matrix}1 \\ 5\end{matrix})$.
  • A. $(\begin{matrix}-1 \\ 2\end{matrix})$
  • B. $(\begin{matrix}-1 \\ 8\end{matrix})$
  • C. $(\begin{matrix}-3 \\ 8\end{matrix})$
  • D. $(\begin{matrix}-1 \\ -2\end{matrix})$
  • E. $(\begin{matrix}-3 \\ -2\end{matrix})$
Answer and explanation: practise this paper on ePrep.
Answer all 45 questions of the BECE 2000 Mathematics paper

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