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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

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Question 141

jamb 2021

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

A234.00 cm³

B526.50 cm³

C166.00 cm³

D687cm³

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Question 142

jamb 2021

find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

A\(\frac{-2}{7}\)

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

C\(\frac{-6}{7}\)

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Question 143

jamb 2021

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides

A13 cm

B4 cm

C6 cm

D7 cm

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Question 144

jamb 2021

determine the maximum value of y=3x\(^2\) + 5x - 3

DNo correct option

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Question 145

jamb 2021

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

A8π

B16π

C2π

D4π

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Question 146

jamb 2021

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

A25 ways

B10 ways

C15 ways

D20 ways

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Question 147

jamb 2021

Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)

A( -1,\(\frac{5}{2}\) )

B( 1, - \(\frac{5}{2}\) )

C( \(\frac{5}{2}\), 1 )

D(2,1)

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Question 148

jamb 2020

Find the non-zero positive value of x which satisfies the equation

\(\begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x \end{bmatrix}\) = 0

B\(\sqrt{3}\)

C\(\sqrt{2}\)

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Question 149

jamb 2020

A surveyor walks 500m up a hill which slopes at an angle of 30\(^o\). Calculate the vertical height through which he rises

A252m

B500m

C250m

D255m

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Question 150

jamb 2020

The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become 18 years. Find the number of students in the group.

C15

D42

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Question 151

jamb 2020

The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.

Ay = 6 - x

By = 90 - x

Cy = 120 - x

Dy = 150 - x

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Question 152

jamb 2020

In a class of 40 students, 32 offer mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics?

C16

D20

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Question 153

jamb 2020

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

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

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

C\(\frac{1}{2}\)

D\(\frac{1}{4}\)

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Question 154

jamb 2020

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

A180\(^o\)

B36\(^o\)

C60\(^o\)

D108\(^o\)

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Question 155

jamb 2020

A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?

A25m

B23m

C22m

D20m

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Question 156

jamb 2020

A sector of circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?

A8cm

B9cm

C6cm

D7cm

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Question 157

jamb 2020

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

A\(\frac{\pi r}{3}\)

B\(\frac{\pi r}{2}\)

C\(\frac{\pi r}{12}\)

D\(\frac{\pi r}{6}\)

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Question 158

jamb 2020

A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 - a, find the possible values of a?

A1, -2

B2, -1

C2, -2

D1, -1

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Question 159

jamb 2020

Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\)

A3\(\sqrt{2}\) + 4

B3\(\sqrt{2}\) - 4

C3 - 2\(\sqrt{2}\)

D4 + 2\(\sqrt{2}\)

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Question 160

jamb 2020

If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)

Ax > -\(\frac{1}{6}\)

Bx > 0

C0 < x < 6

D0 < x

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