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Mathematics Past Questions

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

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98 questions

Question 1 of 20 98 total questions

Question 21

waec 2003

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

D12

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Question 22

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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Question 23

waec 2003

A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for
N30. What is the cost of a pen?

AN5.00

BN7.50

CN10.00

DN15.00

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Question 24

waec 2003

Interprete the inequality represented on the number line

A-4< X ≤ 5

B-4 ≤ x< 5

C-4

D-4≤x≤5

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Question 25

waec 2003

The table below gives the distribution of marks obtained by a number of pupils in a class test.

How many pupils scored at least 2 marks?

A12

B23

C37

D49

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Question 26

waec 2003

The table below gives the distribution of marks obtained by a number of pupils in a class test.

Find the median of the distribution

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Question 27

waec 2003

The table below gives the distribution of marks obtained by a number of pupils in a class test.

The mode of the distribution is

D18

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Question 28

waec 2003

Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)

A\(\frac{5}{9}\)

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

C\(\frac{8}{13}\)

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

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Question 29

jamb 2003

If \(\frac{\pi}{2}\) \(\leq\) \(\theta\) \(\leq\) 2\(\pi\), find the maximum value of f(\(\theta\)) = \(\frac{4}{6 + 2cos \theta}\)

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

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

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Question 30

jamb 2003

Find the value of p, if the line that passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0

A\(\frac{7}{6}\)

B\(\frac{6}{7}\)

C\(\frac{-2}{7}\)

D\(\frac{-6}{7}\)

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Question 31

jamb 2003

In the diagram above, O is the centre of the circle, POM is a diameter, and \(\angle\) MNQ = 42º. Calculate \(\angle\) QMP.

A42º

B48º

C132º

D138º

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Question 32

jamb 2003

A matrix P has an inverse P\(^{-1}\) = \(\begin{pmatrix} 1 & -3 \\ 0 & 1 \end{pmatrix}\). Find P

A\(\begin{pmatrix} -1 & 3 \\ 0 & -1 \end{pmatrix}\)

B\(\begin{pmatrix} 1 & 3 \\ 0 & -1 \end{pmatrix}\)

C\(\begin{pmatrix} 1 & -3 \\ 0 & -1 \end{pmatrix}\)

D\(\begin{pmatrix} 1 & 3 \\ 0 & 1 \end{pmatrix}\)

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Question 33

jamb 2003

If \(\left| \begin{array}{cc} -x & 2 \\ 4x &1 \end{array} \right|\) = \(\left| \begin{array}{cc} 3 & 3x \\ 4 & -5 \end{array} \right|\), find the value of x

C-2

D-5

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Question 34

jamb 2003

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A20

B21

C15

D18

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Question 35

jamb 2003

Two dice are thrown. What is the probability that the sum of the numbers is divisible by 3?

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

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

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

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

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Question 36

jamb 2003

Which of the following is the graph of Sin\(\theta\) for -\(\frac{\pi}{2}\) \(\leq\) 0 \(\leq\) \(\frac{3\pi}{2}\)?

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Question 37

jamb 2003

The mean of the numbers 3, 6, 4, x, and 7 is 5. Find the standard deviation.

A\(\sqrt{2}\)

B\(\sqrt{3}\)

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Question 38

jamb 2003

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.

A(0,-2) and (-1, -4)

B(-1,0) and (-1,-1)

C(-2,1) and (0,1)

D(-2,1) and (-1,-4)

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Question 39

jamb 2003

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40°. Find ∠PSQ

A40^o

B30^o

C20^o

D10^o

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Question 40

jamb 2003

XYZ is a circle with center O and a radius 7cm. Find the area of the shaded region.

A84cm²

B77cm²

C38cm²

D14cm²

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