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Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

Question 1 of 20 2,359 total questions

Question 921

jamb 1988

If x and y represent the mean and the median respectively of the following set of numbers 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, find the \(\frac{x}{y}\) correct to one decimal place

A18

B15

C1.0

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Question 922

jamb 1988

PQR is a triangle in which PQ = 10cm and QPR = 60^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place

A2.7

B4.33

C3.1

D3.3

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Question 923

jamb 1988

If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe

A120\(\pi\)cm³

B110\(\pi\)cm³

C60\(\pi\)cm³

D50\(\pi\)cm³

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Question 924

jamb 1988

If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).

B\(\frac{3\sqrt{7}}{7}\)

C3\(\sqrt{7}\)

D\(\sqrt{7}\)

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Question 925

jamb 1988

In triangle PQR, PQ = 1cm, QR = 2cm and PQR = 120^o Find the longest side of the triangle

A\(\sqrt{3}\)cm

B\(\sqrt{7}\)cm

C3cm

D7cm

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Question 926

jamb 1988

If cot \(\theta\) = \(\frac{x}{y}\), find cosec\(\theta\)

A\(\frac{1}{y}\)(x² + y²)

B\(\frac{x}{y}\)

C\(\frac{1}{y}\)\(\sqrt{x^2 + y^2}\)

D\(\frac{x - y}{y}\)

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Question 927

jamb 1988

Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)

A\(\frac{a - b}{2a + b}\)

B\(\frac{2a + 7b}{a - b}\)

C\(\frac{2a - 7b}{a + b}\)

D\(\frac{2a + 7b}{a + b}\)

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Question 928

jamb 1988

Simplify \(\frac{1}{x^2 + 5x + 6}\) + \(\frac{1}{x^2 + 3x + 2}\)

A\(\frac{x}{(x +2)(x - 3)}\)

B\(\frac{2}{(x + 5)(x - 3)}\)

C\(\frac{2}{(x + 1)(x + 3)}\)

D\(\frac{2}{(x - 1)(x - 3)}\)

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Question 929

jamb 1988

The solution of the quadratic equation px² + qx + b = 0 is

A\(\sqrt{\frac{-b \pm b^2 - 4ac}{2a}}\)

B\(\frac{-b \pm \sqrt{ p^2 - 4pb}}{2a}\)

C\(\frac{-q \pm \sqrt{ q^2 - 4bp}}{2p}\)

D\(\frac{-q \pm \sqrt{ p^2 - 4bp}}{2p}\)

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Question 930

jamb 1988

Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is

A(\(\frac{-1}{8}, \frac{19}{24}\))

B8, \(\frac{24}{19}\)

C-8, \(\frac{24}{19}\)

D(\(\frac{19}{24}, \frac{-1}{8}\))

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Question 931

jamb 1988

List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7

A-1, 0, 1, 2

B0, 1, 2, 3

C-0, 1, 2, 3

D-1, 0, 2, 3

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Question 932

jamb 1988

Solve the following equation equation for \(x^2 + \frac{2x}{r^2} + \frac{1}{r^4}\) = 0

Ar²

B\(\frac{1}{r^4}\)

C-\(\frac{1}{r^2}\)

D1 - r

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Question 933

jamb 1988

Simplify \(\frac{x + 2}{x + 1}\) - \(\frac{x - 2}{x + 2}\)

A\(\frac{3}{x + 1}\)

B\(\frac{3x + 2}{(x + 1)(x + 2)}\)

C\(\frac{5x + 6}{(x + 1)(x + 2)}\)

D\(\frac{2x^2 + 5x + 2}{(x + 1)(x + 2)}\)

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Question 934

jamb 1988

The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form

A2.25 x 10^-4m

B50 x 10^-4m

C2.25 x 10^-5m

D4.50 x 10^-5m

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Question 935

jamb 1988

Find m such that (m + \(\sqrt{3}\))(1 - \(\sqrt{3}\))² = 6 - 2\(\sqrt{2}\)

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Question 936

jamb 1988

If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\), evaluate; without using logarithm tables, \(log_{10} 4.5\)

A0.3010

B0.4771

C0.6532

D0.9542

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Question 937

jamb 1988

Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\)

A\(\frac{2}{5}\)

B\(\frac{5}{3}\)

C3\(\sqrt{5}\)

D3\(\sqrt{2}\)

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Question 938

jamb 1988

A tax payer is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the remainder. If he pays N490.00 tax, what is his income?

AN560.00

BN2,450.00

CN2,800.00

DN3,920.00

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Question 939

jamb 1988

A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket

A1 : 1 : 1

B4 : 2 : 1

C5 : 1 : 1

D4 : 1 : 1

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Question 940

jamb 1988

Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store.

AN1,080.00

BN2,400.00

CN3,000.00

DN3,600.00

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