JAMB Mathematics Past Questions — 2010
JAMB Mathematics Past Questions — 2010
Real questions from the 2010 UTME Mathematics paper, with answers.
Question 1
A student measures a piece of rope and finds it 1.26 m long. If the actual length of the rope was 1.25 m, what was the percentage error in the measurement?
- A. 0.40%
- B. 0.01%
- C. 0.25%
- D. 0.80%
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Answer: DQuestion 2
At what rate will the interest on ₦400 increase to ₦24 in 3 years, reckoning in simple interest?
- A. 4%
- B. 2%
- C. 3%
- D. 5%
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Answer: BQuestion 3
Given that log 2 = 0.3010 and log 7 = 0.8451, evaluate log 112.
- A. 2.5441
- B. 2.0491
- C. 2.1461
- D. 3.1461
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Answer: BQuestion 4
Express the product of 0.21 and 0.34 in standard form.
- A. 7.14 × 10⁻³
- B. 7.14 × 10⁻¹
- C. 7.14 × 10⁻²
- D. 7.14 × 10⁻⁴
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Answer: CQuestion 5
In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian. How many read both papers?
- A. 15
- B. 5
- C. 10
- D. 20
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Answer: DQuestion 6
Solve for x and y if x − y = 2 and x² − y² = 8.
- A. (1, 3)
- B. (3, 1)
- C. (−1, 3)
- D. (−3, 1)
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Answer: BQuestion 7
If y varies directly as the square root of x, and y = 3 when x = 16, calculate y when x = 64.
- A. 5
- B. 12
- C. 6
- D. 3
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Answer: CQuestion 8
Find the sum to infinity of the series: 0.5 + 0.05 + 0.005 + 0.0005 + …
- A. 5/9
- B. 5/8
- C. 1/2
- D. 5/11
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Answer: AQuestion 9
The 3rd term of an arithmetic progression is −9 and the 7th term is −29. Find the 10th term of the progression.
- A. 44
- B. −165
- C. −44
- D. 165
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Answer: CQuestion 10
A binary operation * is defined by x * y = x + y². Find the value of (2 * 3) * 5.
- A. 36
- B. 11
- C. 25
- D. 55
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Answer: AQuestion 11
If the two smaller sides of a right-angled triangle are 4 cm and 5 cm, find its area.
- A. 10 cm²
- B. 6 cm²
- C. 8 cm²
- D. 24 cm²
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Answer: AQuestion 12
Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).
- A. 4
- B. 2
- C. 3
- D. 5
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Answer: AThis is a verified starting set of 12 questions from the original 50-question 2010 paper. The remaining questions are being carefully re-checked (several involve diagrams, matrices, or notation lost in the source scan) and will be added as they’re confirmed accurate.
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