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Mathematics Past Questions

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40 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

40 questions

Question 1 of 20 40 total questions

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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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Question 14

jamb 2020

The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary.

AN2,050

BN2600

CN3,100

DN3,450

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Question 15

jamb 2020

Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.

A6%

B8%

C10%

D12%

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Question 16

jamb 2020

A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.

A60\(\sqrt{3m}\)

B30\(\sqrt{3m}\)

C20\(\sqrt{3m}\)

D10\(\sqrt{3m}\)

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Question 17

jamb 2020

Express the product of 0.0014 and 0.011 in standard form

A1.54 x 10\(^{-2}\)

B1.54 x 10\(^{-3}\)

C1.54 x 10\(^{-2}\)

D1.54 x 10\(^{-5}\)

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Question 18

jamb 2020

The equation of the line in the graph is

A3y = 3x + 12

B3y = 3x + 12

C3y = -4x + 12

D3y = -4x + 9

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Question 19

jamb 2020

A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.

A\(\frac{2}{11}\)

B\(\frac{5}{11}\)

C\(\frac{6}{11}\)

D\(\frac{8}{11}\)

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Question 20

jamb 2020

Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13

C12

D17

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