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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1971

jamb 1987

Taking the period of day light on a certain day to be from 5.30a.m to 7.00p.m. Calculate the angle of a pie chart designed to show the periods of the day light and of darkness on that day

A187^o30'

B172^o30'

C135^o225^o

D202^o30' 157^o 30'

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Question 1972

jamb 1987

What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0

AA circle of radius 4 cm and with centre O

BThe perpendicular bisector of the chords

Ca straight line passing through centre O

DA circle of radius 6 cm and with centre O

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Question 1973

jamb 1987

The base of a pyramid is a square of side 8cm. If its vertex is directly above the centre, find the height, given that the edge is 4\(\sqrt3\)cm

A6cm

B5cm

C4cm

D3cm

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Question 1974

jamb 1987

What is the circumference of latitude 0°S if R is the radius of the earth?

AR cos\(\theta\)

B2\(\pi\) R cos \(\theta\)

CR sin \(\theta\)

D2\(\pi\) R sin \(\theta\)

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Question 1975

jamb 1987

A room is 12m long, 9m wide, and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A\(\frac{15}{17}\)

B\(\frac{8}{17}\)

C\(\frac{8}{15}\)

D\(\frac{12}{17}\)

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Question 1976

jamb 1987

From two points x and y, 8m apart, and in line with a pole, the angles of elevation of the top of the pole are 30ºand 60º respectively. Find the height of the pole assuming that x, y, and the foot of the pole are on the same horizontal plane and x and y are on the same side of the pole.

A\(\sqrt{6}\)

B4\(\sqrt{3}\)

C\(\sqrt{3}\)

D\(\frac{12}{\sqrt{3}}\)

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Question 1977

jamb 1987

If tan \(\theta\) = \(\frac{m^2 - n^2}{2mn}\) find sec\(\theta\)

A\(\frac{m^2 + n^2}{(m^2 - n^2)}\)

B\(\frac{m^2 + n^2}{2mn}\)

C\(\frac{mn}{2(m^2 + n^2)}\)

D\(\frac{m^2n^2}{2(m^2 - n^2)}\)

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Question 1978

jamb 1987

The sine, cosine and tangent of 210o are respectively

A\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)

B\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{3}\)

C\(\frac{1}{2}\), \(\frac{\sqrt{3}}{2}\), \(\frac{\sqrt{3}}{2}\)

D\(\frac{-1}{2}\), \(\frac{\sqrt{-3}}{2}\), \(\frac{\sqrt{3}}{3}\)

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Question 1979

jamb 1987

Two chords QR and NP of a circle intersect inside the circle at x. If RQP = 37o, RQN = 49o and QPN = 35o, find PRQ

A35^o

B37^o

C49^o

D59^o

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Question 1980

jamb 1987

Three angles of a nonagon are equal and the sum of six other angles is 1110o. Calculate the size of one of the equal angles

A210^o

B150^o

C105^o

D50^o

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Question 1981

jamb 1987

Find the eleventh term of the progression 4, 8, 16.....

A2¹³

B2¹²

C2¹¹

D2¹⁰

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Question 1982

jamb 1987

The minimum value of y in the equation y = x\(^2\) - 6x + 8 is

D-1

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Question 1983

jamb 1987

Simplify \(\frac{x^2 - y^2}{2x^2 + xy - y^2}\)

A\(\frac{x + y}{2x + y}\)

B\(\frac{x + y}{2x - y}\)

C\(\frac{x - y}{2x - y}\)

D\(\frac{x - y}{2x + y}\)

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Question 1984

jamb 1987

Solve the inequality x - 1 > 4(x + 2)

Ax > -3

Bx < -3

C2 < x < 3

D-3 < x < -2

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Question 1985

jamb 1987

An (n - 2)² sided figure has n diagonals. Find the number n diagonals for 25-sided figure

D10

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Question 1986

jamb 1987

Find the values of y which satisfy the simultaneous equations x + y = 5, x2 - 2y2 = 1

A-12, -2

B-12, 12

C-12, +2

D2, -2

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Question 1987

jamb 1987

Factorize 6^{2x + 1} + 7(6^x) - 5

A[3(6^x) - 5][2(6^x)m + 1]

B[3(6^x) + 5][2(6^x) - 1]

C[(6^x) - 5][3(6^x) + 1]

D[2(6^x) + 5][3(6^x) - 1]

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Question 1988

jamb 1987

Find the values of m which make the following quadratic function a perfect square. x² + 2(m + 1)x + m + 3

A-1, 1

B-1, 2

C1, -2

D2, -2

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Question 1989

jamb 1987

Make y the subject of the formula Z = x\(^2\) + \(\frac{1}{y^3}\)

Ay = \(\frac{1}{(Z - x^2)^3}\)

By = \(\frac{1}{(Z + x^2)^{\frac{1}{3}}}\)

Cy = \(\frac{1}{(Z - x^2)^{\frac{1}{3}}}\)

Dy = \(\frac{1}{\sqrt[3]{Z} - \sqrt[3]{x^2}}\)

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Question 1990

jamb 1987

If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2

AP = 98R²

BPR² = 98

CP = \(\frac{1}{98R²

DP = \(\frac{PR²}{98}\)

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