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Mathematics Past Questions

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

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Past Questions

51 questions

Question 1 of 20 51 total questions

Question 11

jamb 1993

If two angles of a triangle are 30° each and the longest side is 10cm. Calculate the length of each of the other sides.

A5cm

B4cm

C3√3 cm

D\(\frac{10\sqrt{3}}{3}\)cm

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Question 12

jamb 1993

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o

A45^o, 225^o

B135^o, 315^o

C45^o, 315^o

D135^o, 225^o

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Question 13

jamb 1993

The angle between latitudes 30^oS and 13^oN is

A17^o

B33^o

C43^o

D53^o

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Question 14

jamb 1993

Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60^o

A4.0m²

B1m²

C4.7m²

D5.0m²

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Question 15

jamb 1993

find the radius of a sphere whose surface area is 154cm² (\(\pi = \frac{22}{7}\))

A7.00cm

B3.50cm

C3.00cm

D1.75cm

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Question 16

jamb 1993

The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x - 3) respectively. Calculate x.

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Question 17

jamb 1993

Calculate the length in cm. of the arc of a circle of diameter 8cm which subtends an angle of 22\(\frac{1}{2}\)o at the centre of the circle

A2\(\pi\)

B\(\pi\)

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

D\(\frac{\pi}{2}\)

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Question 18

jamb 1993

A rectangular polygon has 150^o as the size of each interior angle. How many sides has the polygon?

A12

B10

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Question 19

jamb 1993

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eighth month of the third year

AN828.00

BN756.00

CN720.00

DN684.00

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Question 20

jamb 1993

If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio

A0, 8

B-1, \(\frac{5}{3}\)

C2, 3

D1, -1

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Question 21

jamb 1993

A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\) y = x^y for all real values of x and y. If x \(\ast\) 2 = x. Find the possible values of x

A0, 1

B1, 2

C2, 2

D0, 2

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Question 22

jamb 1993

If x is negative, what is the range of values of x within which \(\frac{x + 1}{3}\) > \(\frac{1}{X + 3}\)

A3 < x < 4

B-4 < x < -3

C-2 < x < -1

D-3 < x < 0

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Question 23

jamb 1993

Solve the inequality y2 - 3y > 18

A-3 < y < 6

By < -3 or y > 6

Cy > -3 or y > 6

Dy < 3 or y < 6

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Question 24

jamb 1993

Simplify \(\frac{1}{p}\) - \(\frac{1}{q}\) \(\div\) \(\frac{p}{q}\) - \(\frac{q}{p}\)

A\(\frac{1}{p - q}\)

B\(\frac{-1}{p + q}\)

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

D\(\frac{1}{pq(p - q)}\)

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Question 25

jamb 1993

Divide the expression x³ + 7x² - x - 7 by -1 + x²

A-x³ + 7x² - x - 7

B-x³ = 7x + 7

Cx - 7

Dx + 7

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Question 26

jamb 1993

If the function f is defined by f(x + 2) = 2x\(^2\) + 7x - 5, find f(-1)

A-10

B-8

D10

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Question 27

jamb 1993

Solve the following equation (3x - 2)(5x - 4) = (3x - 2)²

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

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

D\(\frac{2}{3}\), \(\frac{4}{5}\)

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Question 28

jamb 1993

Solve the following simultaneous equation for x. x² + y - 5 = 0, y - 7x + 3 = 0

A-2, 4

B2, 4

C-1,8

D1, -8

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Question 29

jamb 1993

Evaluate (x + \(\frac{1}{x}\) + 1)\(^2\) - (x - \(\frac{1}{x}\) - 1)\(^2\)

A4x²

B(\(\frac{2}{x}\) + 2)²

D4(1 + x)

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Question 30

jamb 1993

Which of the following is a factor of 15 + 7x - 2x²

Ax + 3

Bx - 3

Cx - 5

Dx + 5

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