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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 981

jamb 1986

If x varies directly as y³ and x = 2 when y = 1, find x when y = 5

B10

C125

D250

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Question 982

jamb 1986

Simplify \(\frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{2}}}{3^{-\frac{1}{6}} \times 3^{\frac{-2}{3}}}\)

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

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Question 983

jamb 1986

Find n if log\(_{2}\) 4 + log\(_{2}\) 7 - log\(_{2}\) n = 1

A10

B14

C27

D28

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Question 984

jamb 1986

Simplify \((\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}) \times \frac{1}{\sqrt{3}}\)

A\(\frac{\sqrt{3}}{\sqrt{5}}\)

B\(\frac{2 \sqrt{3}}{7}\)

C-2

D-1

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Question 985

jamb 1986

In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?

A1981

B1979

C1982

D1978

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Question 986

jamb 1986

The ages of Tosan and Isa differ by 6 and the product of their ages is 187. Write their ages in the form (x, y), where x > y.

A(12, 6)

B(23, 17)

C(17, 11)

D(18, 12)

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Question 987

jamb 1986

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2 : 3 : 5 respectively. If Bisi got 5, how many were share out?

A15

B25

C30

D50

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Question 988

jamb 1986

Udoh deposited N150.00 in the bank. At the end of 5 years the simple interest on the principal was N55.00. At what rate per annum was the interest paid?

A11%

B7\(\frac{1}{3}\)%

D3\(\frac{1}{2}\)%

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Question 989

jamb 1986

Simplify \(\frac{0.0324 \times 0.00064}{0.48 \times 0.012}\)

A3.6 x 10²

B3.6 x 10^-2

C3.6 x 10^-3

D3.6 x 10^-4

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Question 990

jamb 1986

If P = 18, Q = 21, R = -6 and S = -4, Calculate \(\frac{(P- Q)^3 + S^2}{R^3}\)

A\(\frac{-11}{216}\)

B\(\frac{11}{216}\)

C\(\frac{-43}{116}\)

D\(\frac{43}{116}\)

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Question 991

jamb 1986

Three boys shared some oranges. The first received \(\frac{1}{3}\) of the oranges, the second received \(\frac{2}{3}\) of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share?

A60

B54

C48

D42

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Question 992

jamb 1986

Find the reciprocal of \(\frac{\frac{2}{3}}{\frac{1}{2} + \frac{1}{3}}\)

A\(\frac{4}{5}\)

B\(\frac{5}{4}\)

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

D\(\frac{6}{7}\)

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Question 993

jamb 1986

Find the smallest number by which 252 can be multiplied to obtain a perfect square

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Question 994

jamb 1986

Divide the L.C.M of 48, 64, and 80 by their H.C.F

A20

B30

C48

D60

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Question 995

jamb 1986

If Musa scored 75 in biology instead of 57, his average mark in four subjects would have been 60. What was his total mark?

A282

B240

C222

D210

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Question 996

jamb 1986

Evaluate (212)₃ - (121)₃ + (222)₃

A(313)₃

B(1000)₃

C(1020)₃

D(1222)₃

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Question 997

jamb 1985

In the figure, find angle x

A100^o

B120^o

C60^o

D110^o

E140^o

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Question 998

jamb 1985

In the figure, the area of the shaded segment is

A3\(\pi\)

B9\(\frac{\sqrt{3}}{4}\)

C3 (\(\pi - 3 \frac{\sqrt{3}}{4}\))

D\(\frac{(\sqrt{3 - \pi)}}{4}\)

E\(\pi + \frac{9 \sqrt{3}}{4}\)

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Question 999

jamb 1985

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

A\(\theta\)^o + \(\phi\)^o = 90²

B\(\phi\)^o = 90² - 2\(\theta\)^o

C\(\theta\)^o = \(\phi\)^o

D\(\phi\)^o = 2\(\theta\)^o

E\(\theta\)^o + 2\(\phi\)^o

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Question 1000

jamb 1985

In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

A\(\sqrt{3a}\)

B3a

C3a²

Da\(\sqrt{2}\)

Ea\(\sqrt{3}\)

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