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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 11

waec 2015

Score	0 - 4	5 - 9	10 - 14
Frequency	2	1	2

The table shows the distribution of the scores of some students in a test. Calculate the mean scores.

A5.6

B6.2

C6.6

D7.0

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Question 12

waec 2015

The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.

A62

B63

C64

D65

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Question 13

waec 2015

The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students

A32^o

B45^o

C60^o

D75^o

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Question 14

waec 2015

The angle of elevation of an aircraft from a point K on the horizontal ground 30\(\alpha\). If the aircraft is 800m above the ground, how far is it from K?

A400.00m

B692.82m

C923.76m

D1,600.00m

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Question 15

waec 2015

PQRS is a square. If x is the midpoint of PQ, calculate correct to the nearest degree,

A53^o

B55^o

C63^o

D65^o

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Question 16

waec 2015

\(\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 3 & 5\frac{1}{2} & &
\end{array}\)
The table given shows some values for a linear graph. Find the gradient of the line

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Question 17

waec 2015

In the diagram, O is the centre of the circle, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the value of angle PTR.

A76^o

B71^o

C57^o

D33^o

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Question 18

waec 2015

In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and

A73^o

B67^o

C57^o

D37^o

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Question 19

waec 2015

In the diagram, PQ//RT, QR//SU,

A134^o

B132^o

C96^o

D48^o

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Question 20

waec 2015

In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN

A132^o

B126^o

C108^o

D102^o

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Question 21

waec 2015

In the diagram, O is the centre. If PQ//RS and ∠ find the size of ∠POM.

A40^o

B50^o

C60^o

D80^o

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Question 22

waec 2015

The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take \(\pi = \frac{22}{7}\)]

A14cm

B7m

C3\(\frac{1}{2}\)m

D1\(\frac{3}{4}\)m

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Question 23

waec 2015

The volume of a cone of height 3cm is 38\(\frac{1}{2}\)cm³. Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]

A3.0cm

B3.5cm

C4.0cm

D4.5cm

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Question 24

waec 2015

Ada draws the graph of y = x² - x - 2 and y = 2x - 1 on the same axes. Which of these equations is she solving?

Ax² - x - 3 = 0

Bx² - 3x - 1 = 0

Cx² - 3x - 3 = 0

Dx² + 3x - 1 = 0

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Question 25

waec 2015

Adding 42 to a given positive number gives the same result as squaring the number. Find the number

A14

B13

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Question 26

waec 2015

If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)

A1\(\frac{5}{16}\)

B1\(\frac{1}{16}\)

C\(\frac{5}{16}\)

D- \(\frac{37}{48}\)

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Question 27

waec 2015

Find the equation whose roots are \(\frac{3}{4}\) and -4

A4x² - 13x + 12 = 0

B4x² - 13x - 12 = 0

C4x² + 13x - 12 = 0

D4x² + 13x + 12 = 0

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Question 28

waec 2015

Factorize completely: 6ax - 12by - 9ay + 8bx

A(2a - 3b)(4x + 3y)

B(3a + 4b)(2x - 3y)

C(3a - 4b)(2x + 3y)

D(2a + 3b)(4x -3y)

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Question 29

waec 2015

If 2ⁿ = y, Find 2\(^{(2 + \frac{n}{3})}\)

A4y\(^\frac{1}{3}\)

B4y\(^-3\)

C2y\(^\frac{1}{3}\)

D2y\(^-3\)

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Question 30

waec 2015

Given that logx 64 = 3, evaluate x log\(_2\)8

C12

D24

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