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Mathematics Past Questions

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

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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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Question 13

jamb 2003

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

A360^o

B200^o

C180^o

D90^o

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Question 14

jamb 2003

Find the equation of the locus of a point P(x,y) which is equidistant from Q(0,0) and R(2,1).

A4x + 2y = 5

B4x - 2y = 5

C2x + 2y = 5

D2x + y = 5

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Question 15

jamb 2003

An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.

A11cm

B22cm

C44cm

D66cm

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Question 16

jamb 2003

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A90^o

B135^o

C225^o

D270^o

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Question 17

jamb 2003

The result of tossing a fair die 120 times is summarized below. Find the value of x

Number	1	2	3	4	5	6
Frequency	12	20	x	21	x - 1	28

A19

B20

C21

D22

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Question 18

jamb 2003

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?

A\(\frac{15}{28}\)

B\(\frac{13}{28}\)

C\(\frac{5}{14}\)

D\(\frac{3}{14}\)

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Question 19

jamb 2003

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women

C18

D24

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Question 20

jamb 2003

If \(^{n}P_{3} - 6(^{n}C_{4}) = 0\), find the value of n.

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