**Mathematics Study Centre for JAMB, WAEC and NECO**

## Past Questions (133) - Page 1

**Question 2**

Find the area bounded by the curves \(y = 4 - x^2\) and \(y = 2x + 1\)

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**Question 3**

Find the rate of change of the volume, \(V\) of a sphere with respect to its radius, \(r\) when \(r = 1.\)

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**Question 4**

If \(y = x \; \mathrm{sin} \; x,\) find \(\frac{dy}{dx}\) when \(x = \frac{\pi}{2}.\)

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**Question 5**

Find the dimensions of a rectangle of greatest area which has a fixed perimeter \(p.\)

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**Question 6**

Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. Find the square of the mode.

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**Question 7**

Teams \(P\) and \(Q\) are involved in a game of football. What is the probability that the game ends in a draw?

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**Question 8**

Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. The mean score is

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**Question 9**

If \(^6\mathrm{P}_r = 6,\) find the value of \(^6\mathrm{P}_{r + 1}\)

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**Question 10**

Given distribution of color beads: blue, black, yellow, white and brown with frequencies \(1, 2, 3, 4,\) and \(5\) respectively. Find the probability that a bead picked at random will be blue or white.

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**Question 12**

Find the number of ways of selecting \(8\) subjects from \(12\) subjects for an examination.

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**Question 13**

Find the range of these fractions: \(\frac{1}{6}, \frac{1}{3}, \frac{3}{2}, \frac{2}{3}, \frac{8}{9}\) and \(\frac{4}{3}.\)

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**Question 14**

Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{\frac{-1}{2}}\)

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**Question 15**

In a school, \(220\) students offer Biology or Mathematics or both. \(125\) offer Biology and \(110\) mathematics. How many offer Biology but not Mathematics?

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**Question 18**

Evaluate:\((0.21 \times 0.072 \times 0.00054)\) \(\div (0.006 \times 1.68 \times 0.063),\) correct to 4.s.f

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**Question 19**

A trader bought goats for \(₦4000\) each. He sold them for \(₦180,000\) at a loss of \(25%.\) How many goats did he buy?

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**Question 20**

If \(\frac{dy}{dx} = 2x - 3\) and \(y = 3\) when \(x = 0,\) find \(y\) in terms of \(x.\)

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