Home ยป Past Questions ยป Mathematics ยป Jamb ยป 2005
1

From the diagram given, find the bearing of R from S

  • A. 226o
  • B. 224o
  • C. 136o
  • D. 134o
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2

In the diagram above, O is the centre of the circle, If < UOT = 70o and < RST = 100o. Calculate < RUO

  • A. 20o
  • B. 25o
  • C. 50o
  • D. 80o
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3

in the diagram above, calculate the value of x.

  • A. 60o
  • B. 100o
  • C. 120o
  • D. 140o
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4

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0.

  • A. x \(\geq\) 2
  • B. 0 \(\geq\) x \(\geq\) 2
  • C. -2 \(\geq\) x \(\geq\) 0, x \(\leq\) 2
  • D. x \(\geq\) -2, 0 \(\geq\) x \(\geq\) 2
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5

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

  • A. 1/20
  • B. 1/3
  • C. 3/20
  • D. 7/10
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6

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

  • A. 17/50
  • B. 3/25
  • C. 1/50
  • D. 3/250
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7

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

  • A. 360
  • B. 720
  • C. 2520
  • D. 5040
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8

In how many ways can 6coloured chalks be arranged if 2 are same colour?

  • A. 60
  • B. 120
  • C. 240
  • D. 360
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9

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is โˆš2

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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10

The model height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r respectively. Find m+2r.

  • A. 1.35
  • B. 1.65
  • C. 1.95
  • D. 3.00
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11

The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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12

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

  • A. 7
  • B. 8
  • C. 9
  • D. 12
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13

The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?

  • A. 16
  • B. 12
  • C. 8
  • D. 6
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14

Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)

  • A. 1
  • B. zero
  • C. -1/2
  • D. -1
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15

Find the area of the figure bounded by the given pair of curves y = x2 – x + 3 and y = 3

  • A. 17/6 units (sq)
  • B. 7/6 units (sq)
  • C. 5/6 units (sq)
  • D. 1/6 units (sq)
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16

The maximum value of the function
f(x) = 2 + x – x2 is

  • A. 9/4
  • B. 7/4
  • C. 3/2
  • D. 1/2
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17

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

  • A. 36 ฯ€ cm2/sec
  • B. 18 ฯ€ cm2/sec
  • C. 6 ฯ€ cm2/sec
  • D. 3 ฯ€ cm2/sec
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18

Find the derivative of y = sin(2x\(^3\) + 3x – 4)

  • A. cos (2x3 + 3x - 4)
  • B. -cos (2x3 + 3x - 4)
  • C. (6x2 + 3) cos (2x3 + 3x - 4)
  • D. -(6x2 + 3) cos (2x3 + 3x - 4)
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19

If y = (1 – 2x)\(^3\), find the value of dy/dx at x = -1

  • A. 57
  • B. 27
  • C. -6
  • D. -54
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20

If sin ฮธ = –1/2 for 0 < ฮธ < 360o, the value of ฮธ is

  • A. 30o and 150o
  • B. 150o and 210o
  • C. 210o and 330o
  • D. 150o and 330o
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21

A chord of a circle subtends an angle of 60o at the length of a circle of radius 14 cm. Find the length of the chord

  • A. 7 cm
  • B. 14 cm
  • C. 21 cm
  • D. 28 cm
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