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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

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Question 31

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 32

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 33

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 34

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 35

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 36

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 37

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 38

jamb 2003

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

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Question 39

jamb 2003

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents N28.00, how much is the largest sector?

AN96.00

BN84.00

CN48.00

DN42.00

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Question 40

jamb 2003

Find the mean of the distribution above

value	0	1	2	3	4
Frequency	1	2	2	1	9

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Question 41

jamb 2003

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24,21 and 16 is

A16

B21

C23

D24

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Question 42

jamb 2003

By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

A0.75

B0.50

C0.33

D0.17

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Question 43

jamb 2003

Determine the maximum value of y = 3x² - x³

Azero

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Question 44

jamb 2003

If y = 3 sin(-4x), dy/dx is

A12x cos (4x)

B-12x cos (-4x)

C-12 cos (-4x)

D12 sin (-4x)

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Question 45

jamb 2003

Evaluate \(\int^{3} _{2}(x^2 - 2x)dx\)

C4/3

D1/3

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Question 46

jamb 2003

Find the slope of the curve y = 2x\(^2\) + 5x - 3 at (1, 4).

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Question 47

jamb 2003

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is

Aa circle

Ba semicircle

Can arc of a circle through X, Y

Dthe perpendicular bisector of XY

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Question 48

jamb 2003

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides

A3 cm

B4 cm

C6 cm

D7 cm

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Question 49

jamb 2003

The sum of the first n terms of an arithmetic progression is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

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Question 50

jamb 2003

Factorize completely 4abx - 2axy -12b²x + 6bxy

A2x(a - 3b)(2b - y)

B2x(3b - a)(2b - y)

C2x(a - 3b)(y - 2b)

D2x(2b - a)(3b - y)

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