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Mathematics Past Questions

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

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46 questions

Question 1 of 20 46 total questions

Question 11

waec 2003

In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm} Find P\hat{S}Q\)

A85^o

B60^o

C55^o

D45^o

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Question 12

waec 2003

Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,

A5 or \( \frac{3}{2} \)

B1 or \( \frac{15}{13} \)

C2 or 15

D13 or 15

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Question 13

waec 2003

Out of 60 members of an Association, 15 are Doctors and 9 are Lawyers. If a member is selected at random from the Association, what is the probability that the member is neither a Doctor Nor a Lawyer

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

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

C\(\frac{3}{20}\)

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

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Question 14

waec 2003

Calculate the value of y in the diagram

A17

B34

C44

D45

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Question 15

waec 2003

The four interior angles of a quadrilateral are (x + 20) ^o, (x+ 10) ^o (2x - 45) ^o and (x - 25) ^o. Find the value of x

A60

B80

C100

D360

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Question 16

waec 2003

What is the size of angle x in the diagram

A15^o

B30^o

C45^o

D60^o

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Question 17

waec 2003

A ladder, 6m long, leans against a vertical wall at an angle 53^o to the horizontal. How high up the wall does the ladder reach?

A3.611m

B4.521m

C4.792m

D7.962m

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Question 18

waec 2003

Given, that \(4P4_5 = 119_{10}\), find the value of P

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Question 19

waec 2003

In\( ∆ PQR, P\hat{Q}P = 84^°, |Q\hat{P}R |= 43^°\) and |PQ| = 5cm. Find /QR/ in cm, correct to 1 decimal place.

A3.4

B4.3

C5.9

D6.2

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Question 20

waec 2003

Find the value of x in the equation 3x\(^2\) - 8x - 3 = 0

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

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

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

D\(\frac{1}{3},3\)

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Question 21

waec 2003

In the diagram, ZM is a straight line. Calculate the value of x.

A27^o

B30^o

C35^o

D37^o

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Question 22

waec 2003

PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

A180^o

B150^o

C105^o

D75^o

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Question 23

waec 2003

A pyramid of volume 120cm3 has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid

A5cm

B9cm

C12cm

D15cm

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Question 24

waec 2003

Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)

A-2

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

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

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Question 25

waec 2003

Find the value of x which satisfies the equation
5(x-7)=7-2x

Ax =2

Bx=4

Cx=6

Dx = 14

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Question 26

waec 2003

Simplify \(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)

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

B\(1\frac{1}{3}\)

D\(\frac{3}{7}\)

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Question 27

waec 2003

Three men, Bedu, Bakre and Kofi shared' N500 in the ratio 3:2: x respectively. If Bedu’s share is N150, find the value of x.

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Question 28

waec 2003

In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70^o and ∠PQW = 55^o
Find the size of reflex ∠WQS

A235^o

B290^o

C305^o

D325^o

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Question 29

waec 2003

Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)

D12

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Question 30

waec 2003

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

A\(\frac{3a+11}{(a-3)(a-2)}\)

B\(\frac{3a+11}{(a+3)(a-2)}\)

C\(\frac{3a+11}{(a+3)(a+2)}\)

D\(\frac{3a+11}{(a-3)(a+2)}\)

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