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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 1141

jamb 1979

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0

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

B\(\frac{1 - x}{x}\)

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

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

E\(\frac{-x - 1}{1}\)

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Question 1142

jamb 1979

For the set of numbers 2, 3, 5, 6, 7, 7, 8

AThe median is greater than the mode

Bthe mean is greater than the mode

Cthe mean is greater than the median

Dthe median is equal to the mean

Ethe mean is less than the median

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Question 1143

jamb 1979

12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?

A24

B18

C12

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Question 1144

jamb 1979

Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021

A1.3979

B2.3979

C-1.6021

D2.6021

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Question 1145

jamb 1979

Find the value of (4\(^{\frac{1}{2}}\))\(^6\)

E64

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Question 1146

jamb 1979

If x\(^3\) - 12x - 16 = 0 has x = -2 as a solution then the equation has

Ax = -4 as a solution also

B3 roots all different

C3 roots with two equal and the third different

D3 roots all equal

Eonly one root

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Question 1147

jamb 1979

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2

Ax = -8, y = 1

Bx = -2, y = 4

Cx = \(\frac{-34}{27}\), y = \(\frac{73}{27}\)

Dx = 7, y = -9

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Question 1148

jamb 1979

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr

A1\(\frac{2}{3}\)

E10

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Question 1149

jamb 1979

Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?

A(a), (b), (c)

B(c)

CNone of the choices

DAll of the above

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Question 1150

jamb 1979

Make c the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0

Ac = \(\frac{2d - 5 - b}{ad}\)

Bc = \(\frac{2d - 5 - abd}{ad}\)

Cc = \(\frac{2d - 5 - ab}{ad}\)

Dc = \(\frac{5 - 2d - b}{ad}\)

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Question 1151

jamb 1979

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o find < QRS

A75^o

B37\(\frac{1}{2}\)^o

C127\(\frac{1}{2}\)^o

D105^o

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Question 1152

jamb 1979

One of the following statements is wrong. Which is it?

AIf a triangle is equiangular then it is also equilateral

BIf a triangle is equilateral then it is also then it is also equiangular

CIf two triangles are similar then they are also congurent

DThe sum of the interior angles of any triangle is 180 degrees

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Question 1153

jamb 1979

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

A\(\frac{1}{6}\)

B\(\frac{13}{20}\)

C\(\frac{11}{30}\)

D\(\frac{9}{4}\)

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

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Question 1154

jamb 1979

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A1m

B1.1m

C1.2m

D0.9m

E1.3m

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Question 1155

jamb 1979

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

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

B\(\frac{2y^3} {y^2 - x^2}\)

C\(\frac{3x^2 + y^2} {(2x - y)^2}\)

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

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Question 1156

jamb 1979

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A\(\frac{44}{3}\)\(\pi\)cm³

B12\(\pi\)cm³

C\(\frac{38}{3}\)\(\pi\)cm³

D\(\frac{40}{3}\)\(\pi\)cm³

E\(\frac{32}{33}\)\(\pi\)cm³

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Question 1157

jamb 1979

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)

A5^{2x + 1}

B5^{x + 1}

C5^-5

D5²

E5³

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Question 1158

jamb 1979

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A\(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)

B\(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{38}\)

C\(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)

D\(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)

E\(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)

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Question 1159

jamb 1979

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

A20sq.cm

B100sq.cm

C25sq.cm

D16sq.cm

E36sq.cm

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Question 1160

jamb 1979

Multiply (3x + 5y + 4z) by (2x - 3y + z)

A6x² + xy - 15y² + 4z² + 11xz - 7yz

B6x² + 3xy - 15y² + 4z²

C6x² + 3xy - y² + 4z²

D6x² + 3xy - 15y + z²

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