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BECE Mathematics practice questions
Ten objective questions in the style of the BECE Mathematics paper: LCM, fractions, percentages, proportion, area, equations, rounding, sets and number bases, each with a worked solution.
Questions originales rédigées par les professeurs Studoli dans l’esprit de l’examen BECE. Ce ne sont pas des sujets officiels.
Notion: Number
1. Find the LCM of 4, 6 and 8.
Correction
B. 24
- Multiples of 8: 8, 16, 24...
- 24 is the first multiple of 8 that is also divisible by 4 and 6.
Notion: Fractions
2. Simplify 3/4 + 1/6.
Correction
B. 11/12
- The common denominator of 4 and 6 is 12.
- 3/4 = 9/12 and 1/6 = 2/12.
- 9/12 + 2/12 = 11/12.
Notion: Percentages
3. Express 45% as a fraction in its lowest terms.
Correction
B. 9/20
- 45% = 45/100.
- Divide top and bottom by 5: 9/20.
Notion: Proportion
4. If 5 pens cost GH₵ 15, how much do 8 pens cost?
Correction
C. GH₵ 24
- Cost of one pen: 15 ÷ 5 = GH₵ 3.
- Cost of 8 pens: 8 × 3 = GH₵ 24.
Notion: Mensuration
5. Find the area of a rectangle 12 cm long and 7 cm wide.
Correction
C. 84 cm²
- Area of a rectangle = length × width.
- 12 × 7 = 84 cm².
Notion: Equations
6. Solve 2x + 5 = 17.
Correction
A. x = 6
- Subtract 5 from both sides: 2x = 12.
- Divide by 2: x = 6.
Notion: Approximation
7. Round 3.6478 to two decimal places.
Correction
B. 3.65
- Look at the third decimal place: 7.
- 7 is 5 or more, so round the second decimal place up: 3.65.
Notion: Sets
8. If A = {2, 4, 6, 8}, find n(A).
Correction
B. 4
- n(A) is the number of elements in set A.
- A has 4 elements.
Notion: Mensuration
9. Find the perimeter of a square of side 9 cm.
Correction
B. 36 cm
- A square has 4 equal sides.
- Perimeter = 4 × 9 = 36 cm.
Notion: Number bases
10. Convert 101 (base two) to base ten.
Correction
B. 5
- Place values from the right: 1, 2, 4.
- 101₂ = 1 × 4 + 0 × 2 + 1 × 1 = 5.
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