Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

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1

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

  • A. 20
  • B. 21
  • C. 15
  • D. 18
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2

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

  • A. 20o
  • B. 40o
  • C. 10o
  • D. 30o
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3

Triangle OPQ is the solution of the inequalities

  • A. x - 1 < 0, y + \(\geq\) 0, y - x \(\geq\) 0
  • B. x + 1 \(\leq\) 0, y + x \(\geq\) 0, y - x \(\leq\) 0
  • C. x - 1 \(\geq\) 0, y - x \(\geq\) 0, y + x \(\geq\) 0
  • D. y + x \(\geq\) 0, y - x \(\leq\) 0
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4

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

  • A. 15
  • B. 18
  • C. 20
  • D. 21
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5

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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6

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

  • A. 40o
  • B. 30o
  • C. 20o
  • D. 10o
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7

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

  • A. 84cm2
  • B. 77cm2
  • C. 38cm2
  • D. 14cm2
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8

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

  • A. 360o
  • B. 200o
  • C. 180o
  • D. 90o
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9

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

  • A. 4x + 2y = 5
  • B. 4x - 2y = 5
  • C. 2x + 2y = 5
  • D. 2x + y = 5
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10

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.

  • A. 11cm
  • B. 22cm
  • C. 44cm
  • D. 66cm
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11

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

  • A. 90o
  • B. 135o
  • C. 225o
  • D. 270o
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12

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

  • A. 19
  • B. 20
  • C. 21
  • D. 22
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13

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. 15/28
  • B. 13/28
  • C. 5/14
  • D. 3/14
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14

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

  • A. 3
  • B. 6
  • C. 18
  • D. 24
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15

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

  • A. 5
  • B. 6
  • C. 7
  • D. 8
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16

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?

  • A. N96.00
  • B. N84.00
  • C. N48.00
  • D. N42.00
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17

Find the mean of the distribution above

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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18

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

  • A. 16
  • B. 21
  • C. 23
  • D. 24
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19

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

  • A. 0.75
  • B. 0.50
  • C. 0.33
  • D. 0.17
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20

Determine the maximum value of y = 3x2 – x3

  • A. zero
  • B. 2
  • C. 4
  • D. 6
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21

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

  • A. 12x cos (4x)
  • B. -12x cos (-4x)
  • C. -12 cos (-4x)
  • D. 12 sin (-4x)
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