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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 1081

jamb 1982

Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are

A3y - x = 0; 2y - x = 0

B3y - x = 14; x - 2y = 6

C3y - x =7; x - 2y = 6

D3y - x = 14; y - 2x = 6

Ex + 3y = 7; x = 2y = 12

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Question 1082

jamb 1982

If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?

AN392.49

BN56.70

CN113.40

DN112.14

EN56.07

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Question 1083

jamb 1982

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

A1\(\frac{3}{4}\)

B-1

C1\(\frac{3}{10}\)

E1\(\frac{9}{10}\)

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Question 1084

jamb 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A\(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)

B\(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)

C\(\sqrt{2} - \sqrt{5}\)

D5(\(\sqrt{2} - \sqrt{5}\)

E\(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

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Question 1085

jamb 1981

In the figure, WU//YZ, WY//VU = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.

A1cm

B6cm

C2cm

D4cm

E3cm

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Question 1086

jamb 1981

In the diagram, XZ is the diameter of a circle's radius \(\frac{5}{2}\). If XY is 4cm, then the area of the triangle XYZ is

A12cm²

B28\(\frac{1}{2}\)cm²

C16cm²

D10cm²

E6cm²

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Question 1087

jamb 1981

In the figure, find x in terms of a, b and c.

Aa + b + c

B180^o - (a + b + c)

Ca - b - c

Da + b

Ea + c

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Question 1088

jamb 1981

In the figure, find the area of XYZW

A60cm²

B54cm²

C27cm²

D54\(\sqrt{2}\)cm²

E27\(\sqrt{2}\)cm²

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Question 1089

jamb 1981

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A50^o

B75^o

C35^o

D115^o

E30^o

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Question 1090

jamb 1981

What is the length of an arc of a circle that subtends 2\(\frac{1}{2}\) radians at the centre when the radius of the circle is 8cm?

A8cm

B10cm

C40cm

D20cm

E16cm

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Question 1091

jamb 1981

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

A27

C\(\frac{1}{27}\)

D18

E81

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Question 1092

jamb 1981

The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is

Ax + 8x² - 5 = 0

B2x² - 5x + 8 = 0

C2x² - 8x + 5 = 0

Dx² + 8x - 5 = 0

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Question 1093

jamb 1981

What is the size of an exterior angle of a regular pentagon?

A36^o

B60^o

C72^o

D120^o

E360^o

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Question 1094

jamb 1981

The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) is greater than sum of \(\frac{1}{14}\) and 1\(\frac{1}{2}\) by

A\(\frac{23}{28}\)

B\(\frac{24}{28}\)

C\(\frac{50}{56}\)

D\(\frac{27}{28}\)

E\(\frac{48}{56}\)

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Question 1095

jamb 1981

A baking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked using 24.5kg of a mixture of sugar and flour. How much sugar was used?

A12.25kg

B6.75kg

C8.75kg

D15.75kg

E8.25kg

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Question 1096

jamb 1981

Multiply x² + x + 1 by x² - x + 1

Ax⁴ - x + x²

Bx⁴ - x² + x²

Cx⁴ + x² + 1

Dx⁴ + x²

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Question 1097

jamb 1981

If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b\(^2\) in terms of a, c, r.

Ab² = aV + 2cr

Bb² = ar + 2c²r

Cb² = a² = \(\frac{1}{2}\) cr²

Db² = \(\frac{1}{2}\)ar² + c

Eb² = 2cr - a²

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Question 1098

jamb 1981

Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)

A\(\frac{4R_1 \times R_2 R_3}{R_2R_3 + R_1R_3 + 4R_1 R_2}\)

B\(\frac{R_1 R_2 R_3}{R_2R_3 + R_1R_2 + 4R_1 R_2}\)

C\(\frac{16R_1 R_2 R_3}{R_2R_3 + R_1R_2 + R_1 R_2}\)

D\(\frac{4R_1 R_2 R_3}{4R_2R_3 + R_1R_2 + 4R_1 R_2}\)

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Question 1099

jamb 1981

The first term of an Arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81

A12

B27

E36

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Question 1100

jamb 1981

Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is

Asin x

Bcos²x

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