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Mathematics — Foundations

This is the real Level 1 question set — 20 questions, free, no account needed. Tap a question to check your answer and read the explanation.

1. A market woman sells tomatoes every 4 days and pepper every 6 days. If she sold both on Monday, after how many days will she sell both again on the same day?

A. 8 days
B. 10 days
C. 12 days
D. 24 days
Explanation: The LCM of 4 and 6 is 12, so both events coincide again after 12 days.

2. In a class of 40 students, 25% scored above 70 marks in a Mathematics test. How many students scored above 70 marks?

A. 8
B. 10
C. 12
D. 15
Explanation: 25% of 40 = (25/100) × 40 = 10 students scored above 70 marks.

3. Solve for x: 2x + 5 = 17

A. 4
B. 5
C. 6
D. 7
Explanation: 2x + 5 = 17. Subtract 5 from both sides: 2x = 12. Divide both sides by 2: x = 6.

4. Musa spent 3/8 of his monthly salary of ₦48,000 on school fees for his children. How much did he spend?

A. ₦16,000
B. ₦18,000
C. ₦20,000
D. ₦24,000
Explanation: 3/8 of 48000 = (3 × 48000) / 8 = 144000/8 = 18000.

5. Express 0.03456 correct to 2 significant figures.

A. 0.034
B. 0.035
C. 0.03
D. 0.0346
Explanation: The first two significant figures are 3 and 4. The next digit (5) rounds the 4 up to 5, giving 0.035.

6. Simplify √72.

A. 6√2
B. 8√3
C. 3√8
D. 2√18
Explanation: 72 = 36 × 2, so √72 = √36 × √2 = 6√2.

7. If 5 exercise books cost ₦750, how much will 8 similar exercise books cost?

A. ₦1,000
B. ₦1,100
C. ₦1,200
D. ₦1,350
Explanation: Cost of one book = 750/5 = 150. Cost of 8 books = 150 × 8 = 1200.

8. A rectangular farmland in Kaduna has a length of 12 metres and a width of 8 metres. Find the area of the farmland.

A. 20 m²
B. 40 m²
C. 96 m²
D. 104 m²
Explanation: Area of a rectangle = length × width = 12 × 8 = 96 m².

9. What is 11 × 11?

A. 22
B. 110
C. 132
D. 121
Explanation: 11 multiplied by 11 is 121.

10. Find the Highest Common Factor (HCF) of 24 and 36.

A. 6
B. 8
C. 12
D. 18
Explanation: 24 = 2^3 × 3, 36 = 2^2 × 3^2. The common factors are 2^2 × 3 = 12, so HCF = 12.

11. Express 45% as a fraction in its lowest term.

A. 9/20
B. 9/25
C. 3/5
D. 4/9
Explanation: 45% = 45/100 = 9/20 after dividing numerator and denominator by 5.

12. Express 0.00074 in standard form.

A. 7.4 × 10^-4
B. 7.4 × 10^-3
C. 7.4 × 10^4
D. 74 × 10^-5
Explanation: 0.00074 = 7.4 × 10^-4, since the decimal point moves 4 places to the right to obtain 7.4.

13. Round off 4,857 to the nearest hundred.

A. 4,800
B. 4,850
C. 4,900
D. 5,000
Explanation: The tens digit (5) in 4857 is 5 or more, so we round up the hundreds digit from 8 to 9, giving 4900.

14. Convert 27 (base 10) to base 2.

A. 10111
B. 11011
C. 11101
D. 11001
Explanation: 27 = 16 + 8 + 2 + 1 = 2^4 + 2^3 + 2^1 + 2^0, which gives 11011 in base 2.

15. Share ₦60,000 between Amaka and Uche in the ratio 2:3. How much does Uche receive?

A. ₦20,000
B. ₦24,000
C. ₦30,000
D. ₦36,000
Explanation: Total ratio parts = 2 + 3 = 5. Uche's share = (3/5) × 60000 = 36000.

16. What is 20% of 60?

A. 24
B. 12
C. 17
D. 48
Explanation: 20% of 60 = (20/100) × 60 = 12.

17. What is 4 × 8?

A. 12
B. 28
C. 32
D. 40
Explanation: 4 multiplied by 8 is 32.

18. Simplify 2^3 × 2^4.

A. 2^7
B. 2^12
C. 4^7
D. 2^1
Explanation: When multiplying powers with the same base, add the exponents: 2^3 × 2^4 = 2^(3+4) = 2^7.

19. What is 54 + 73?

A. 128
B. 108
C. 117
D. 127
Explanation: Add the units and tens: 54 + 73 = 127.

20. What is 25% of 80?

A. 40
B. 60
C. 20
D. 25
Explanation: 25% of 80 = (25/100) × 80 = 20.

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