Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

1

Find the value of log\(_{\sqrt{3}}\) 81

  • A. 81
  • B. 16
  • C. 8
  • D. 3
  • E. \(\sqrt{3}\)
View Answer & Discuss NECO 2008
2

P = {x:(x – 2)(x + 3) (x – 4)(x + 5) = 0}. The elements in P are

  • A. -5,-2, 3, 4
  • B. -5, -3, 2, 4
  • C. -5, -3, -2,4
  • D. -4, -3, -2, 5
  • E. 2, 3, 4, 5
View Answer & Discuss NECO 2008
3

which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.

  • A. I and II
  • B. I and III
  • C. II and III
  • D. I
  • E. III
View Answer & Discuss NECO 2008
4

If 5x – 3 = 4x – 7, what is the value 6x?

  • A. 24
  • B. 6
  • C. 4
  • D. -4
  • E. -24
View Answer & Discuss NECO 2008
5

Evaluate (25 × 4-2) ÷ (2-3 × 26)

  • A. 9
  • B. 8
  • C. 3
  • D. \(\frac{8}{9}\)
  • E. \(\frac{1}{4}\)
View Answer & Discuss NECO 2008
6

T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)

  • A. 1.5
  • B. 6.3
  • C. 6.3
  • D. 12.6
  • E. 21
View Answer & Discuss NECO 2008
7

The graph of cumulative frequency distribution is known as

  • A. an ogive
  • B. a histogram
  • C. a frequency polygon
  • D. relative frequency
  • E. none
View Answer & Discuss NECO 2008
8

If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula

  • A. (2A – 2bh) ÷ b
  • B. (2A – bh) ÷ h
  • C. (2A – bh) ÷ b
  • D. (A – 2bh) ÷ h
  • E. (2A – h) ÷ bh
View Answer & Discuss NECO 2008
9

The median of a distribution can be estimated from

  • A. Barchart
  • B. Cumulative frequency curve
  • C. Frequency polygon
  • D. Pictorial
  • E. Pie chart
View Answer & Discuss NECO 2008
10

Multiply (3\(\sqrt{a}\) – 4a) by (4a + 3\(\sqrt{a}\))

  • A. 9a + 16a2
  • B. 9a – 16a2
  • C. 3a + 16a2
  • D. 3a - 16a2
  • E. a - 16a2
View Answer & Discuss NECO 2008
11

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

  • A. 0.015
  • B. 1
  • C. 10
  • D. 39.81
  • E. 45
View Answer & Discuss NECO 2008
12

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

  • A. \(\frac{1}{10}\)
  • B. \(\frac{2}{5}\)
  • C. \(\frac{1}{2}\)
  • D. \(\frac{3}{5}\)
  • E. \(\frac{9}{10}\)
View Answer & Discuss NECO 2008
13

In proving the congruence of two triangles, which of the following is not important?

  • A. two sides and the included angles
  • B. two angles and a side
  • C. three sides
  • D. three angles
  • E. right angle, hypotenuse and another side
View Answer & Discuss NECO 2008
14

Rationalize the expression \(\frac{(7 – \sqrt{3})}{(13 – \sqrt{3})}\)

  • A. (44 + 3\(\sqrt{3}\)) ÷ 83
  • B. (44 + 2\(\sqrt{3}\)) ÷ 83
  • C. (44 - 3\(\sqrt{3}\)) ÷ 83
  • D. (44 - 4\(\sqrt{3}\)) ÷ 83
  • E. (44 - 2\(\sqrt{3}\)) ÷ 83
View Answer & Discuss NECO 2008
15

A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?

  • A. 10cm
  • B. 6cm
  • C. 5cm
  • D. 3cm
  • E. 1cm
View Answer & Discuss NECO 2008
16

Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7

  • A. 3x2 + 11x + 21 = 0
  • B. 2x2 + 11x + 21 = 0
  • C. 2x2 - 11x – 21 = 0
  • D. 3x2 - 11x - 21 = 0
  • E. x2 - 11x – 21 = 0
View Answer & Discuss NECO 2008
17

If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?

  • A. N2,500.00
  • B. N5,000.00
  • C. N12,500.00
  • D. N27,500.00
  • E. N125,000.00
View Answer & Discuss NECO 2008
18

If y + \(\frac{1}{y}\) = 9, evaluate y2 + \(\frac{1}{y^2}\)

  • A. 27
  • B. 38
  • C. 54
  • D. 63
  • E. 79
View Answer & Discuss NECO 2008
19

Which of the following angular inequalities defines an obtuse angle?

  • A. 0° < x < 90°
  • B. 0° ≤ x > 180°
  • C. 90° < x < 180°
  • D. 90° ≤ x < 180°
  • E. 90° > x < 180°
View Answer & Discuss NECO 2008
20

Find the coefficient of xy in the expansion of (x – 4y)(3x + 2y)

  • A. 14
  • B. 12
  • C. 10
  • D. -10
  • E. -12
View Answer & Discuss NECO 2008
21

A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?

  • A. N750.00
  • B. N2,500.00
  • C. N2,538.00
  • D. N3,288.00
  • E. N4,038.00
View Answer & Discuss NECO 2008