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Mathematics Past Questions

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

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Past Questions

45 questions

Question 1 of 20 45 total questions

Question 1

waec 2015

In the diagram, \(\bar{OX}\) bisects < YXZ and \(\bar{OZ}\) bisects < YZX. If < XYZ = 68^o, calculate the value of < XOZ

A68^o

B72^o

C112^o

D124^o

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Question 2

waec 2015

In a circle radius rcm, a chord 16\(\sqrt{3}cm\) long is 10cmfrom the centre of the circle. Find, correct to the nearest cm, the value of r

A22cm

B17cm

C16cm

D15cm

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Question 3

waec 2015

A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS?

A\(\frac{9}{13}\)

B\(\frac{11}{26}\)

C\(\frac{4}{13}\)

D\(\frac{1}{26}\)

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Question 4

waec 2015

Two angles of a pentagon are in the ratio 2:3. The others are 60^o each. Calculate the smaller of the two angles

A72^o

B100^o

C120^o

D144^o

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Question 5

waec 2015

In the diagram, the shaded part is carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find area of the margin

A4.7m²

B4.9m²

C5.7m²

D5.9m²

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Question 6

waec 2015

Calculate the mean deviation of 5, 3, 0, 7, 2, 1

A0.0

B2.0

C2.5

D3.0

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Question 7

waec 2015

Find the value of p if \(\frac{1}{4}\)p + 3q = 10 and 2p - \(\frac{1}{3}\)q = 7

C-3

D-4

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Question 8

waec 2015

Describe the shaded portion in the diagram

AP' \(\cap\) Q \(\cap\) R'

B(P' \(\cap\) R)' \(\cap\) R

CP' \(\cap\) Q \(\cap\) R

D(P \(\cap\) Q)' \(\cap\) R

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Question 9

waec 2015

A trader bought 100 oranges at 5 for N40.00 and sold them at 20 for N120.00. Find the profit or loss percent

A20% profit

B20% loss

C25% profit

D25% loss

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Question 10

waec 2015

The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?

A22\(\frac{1}{2}\)km

B30km

C33\(\frac{1}{2}\)km

D45km

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Question 11

waec 2015

A farmer uses \(\frac{2}{5}\) of his land to grow cassava, \(\frac{1}{3}\) of the remaining for yam and the rest for maize. Find the part of the land used for maize

A\(\frac{2}{15}\)

B\(\frac{2}{5}\)

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

D\(\frac{4}{5}\)

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Question 12

waec 2015

Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)

A\(\frac{4x + 5y - xy}{2xy}\)

B\(\frac{5y - 4x + xy}{2xy}\)

C\(\frac{5x + 4y - xy}{2xy}\)

D\(\frac{4x - 5y + xy}{2xy}\)

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Question 13

waec 2015

The area of a rhombus is 110 cm\(^2\). If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

A5.0

B4.0

C3.0

D2.5

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Question 14

waec 2015

Which of the following is used to determine the mode of a grouped data?

ABar chart

BFrequency polygon

COgive

DHistogram

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Question 15

waec 2015

Make K the subject of the relation T = \(\sqrt{\frac{TK - H}{K - H}}\)

AK = \(\frac{H(T^2 - 1)}{T^2 - T}\)

BK = \(\frac{HT}{(T - 1)^2}\)

CK = \(\frac{H(T^2 + 1)}{T}\)

DK = \(\frac{H(T - 1)}{T}\)

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Question 16

waec 2015

In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.

A35^o

B40^o

C55^o

D60^o

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Question 17

waec 2015

If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)

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

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

C1\(\frac{1}{3}\)

D1\(\frac{2}{3}\)

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Question 18

waec 2015

Tom will be 25 years old in n years' time. If he is 5 years younger than Bade, find Bade's present age.

A(30 - n)years

B(20 - n)years

C(25 - n)years

D(30 + n)years

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Question 19

waec 2015

In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|

A3cm

B4cm

C6cm

D8cm

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Question 20

waec 2015

The probability that kebba, Ebou and Omar will hit a target are \(\frac{2}{3}\), \(\frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that only Kebba will hit the target.

A\(\frac{2}{5}\)

B\(\frac{7}{60}\)

C\(\frac{1}{30}\)

D\(\frac{1}{60}\)

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