2008 NECO Mathematics Past Questions & Answers

Question 1

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

Accepted Answer

C. 2x2 - 11x – 21 = 0

Answer

A. 3x2 + 11x + 21 = 0

Answer

B. 2x2 + 11x + 21 = 0

Answer

D. 3x2 - 11x - 21 = 0

Answer

E. x2 - 11x – 21 = 0

Question 2

A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$)

Accepted Answer

D. 381.9cm2

Answer

A. 14.1cm2

Answer

B. 95.5cm2

Answer

C. 190.9cm2

Answer

E. 763.7cm2

Question 3

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

Accepted Answer

B. (2A – bh) ÷ h

Answer

A. (2A – 2bh) ÷ b

Answer

C. (2A – bh) ÷ b

Answer

D. (A – 2bh) ÷ h

Answer

E. (2A – h) ÷ bh

Question 4

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

Accepted Answer

B. N2,500.00

Answer

A. N750.00

Answer

C. N2,538.00

Answer

D. N3,288.00

Answer

E. N4,038.00

Question 5

Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number

Accepted Answer

B. 3

Answer

A. 2

Answer

C. 4

Answer

D. 5

Answer

E. 6

Question 6

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

Accepted Answer

C. 8

Answer

A. 81

Answer

B. 16

Answer

D. 3

Answer

E. $\sqrt{3}$

Question 7

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?

Accepted Answer

D. N27,500.00

Answer

A. N2,500.00

Answer

B. N5,000.00

Answer

C. N12,500.00

Answer

E. N125,000.00

Question 8

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

Accepted Answer

D. -10

Answer

A. 14

Answer

B. 12

Answer

C. 10

Answer

E. -12

Question 9

x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?

Accepted Answer

C. 6.25

Answer

A. 2.5

Answer

B. 5

Answer

D. 6.52

Answer

E. 7.5

Question 10

2 bags of sugar at Nx per bag are mixed with 3 bags of sugar at Ny per bag. What is the cost in N of the mixture per bag?

Accepted Answer

A. $\frac{(2x + 3y)}{5}$

Answer

B. $\frac{(x + y)}{2}$

Answer

C. $\frac{x}{2} +\frac{y}{3}$

Answer

D. $\frac{(x + y)}{5}$

Answer

E. $\frac{(3x + 2y)}{5}$

Question 11

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?

Accepted Answer

A. 10cm

Answer

B. 6cm

Answer

C. 5cm

Answer

D. 3cm

Answer

E. 1cm

Question 12

The graph of cumulative frequency distribution is known as

Accepted Answer

A. an ogive

Answer

B. a histogram

Answer

C. a frequency polygon

Answer

D. relative frequency

Answer

E. none

Question 13

Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°

Accepted Answer

E. 33.9cm2

Answer

A. 271.5cm2

Answer

B. 135.8cm2

Answer

C. 96.0cm2

Answer

D. 48.0cm2

Question 14

Find y if sin y = cos 48°

Accepted Answer

C. 42°

Answer

A. 21°

Answer

B. 24°

Answer

D. 48°

Answer

E. 102°

Question 15

Given that x2 + y2 + k = 60 and x = $\sqrt{10}$ when y = 4, find the value of k.

Accepted Answer

B. 34

Answer

A. 56

Answer

C. 32

Answer

D. -34

Answer

E. -56

Question 16

The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes

Accepted Answer

E. 27 : 343

Answer

A. 1 : 04

Answer

B. 3 : 07

Answer

C. 9 : 49

Answer

D. 0.086111111

Question 17

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

Accepted Answer

B. -5, -3, 2, 4

Answer

A. -5,-2, 3, 4

Answer

C. -5, -3, -2,4

Answer

D. -4, -3, -2, 5

Answer

E. 2, 3, 4, 5

Question 18

Increase 135 in the ratio 3:5

Accepted Answer

A. 225

Answer

B. 216

Answer

C. 143

Answer

D. 140

Answer

E. 140

Question 19

Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.

Accepted Answer

C. 30

Answer

A. 51

Answer

B. 48

Answer

D. 25

Answer

E. 18

Question 20

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

Accepted Answer

D. three angles

Answer

A. two sides and the included angles

Answer

B. two angles and a side

Answer

C. three sides

Answer

E. right angle, hypotenuse and another side

Question 21

Which of the following angular inequalities defines an obtuse angle?

Accepted Answer

C. 90° < x < 180°

Answer

A. 0° < x < 90°

Answer

B. 0° ≤ x > 180°

Answer

D. 90° ≤ x < 180°

Answer

E. 90° > x < 180°

Question 22

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

Accepted Answer

E. -24

Answer

A. 24

Answer

B. 6

Answer

C. 4

Answer

D. -4

Question 23

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

Accepted Answer

D. $\frac{3}{5}$

Answer

A. $\frac{1}{10}$

Answer

B. $\frac{2}{5}$

Answer

C. $\frac{1}{2}$

Answer

E. $\frac{9}{10}$

Question 24

The median of a distribution can be estimated from

Accepted Answer

B. Cumulative frequency curve

Answer

A. Barchart

Answer

C. Frequency polygon

Answer

D. Pictorial

Answer

E. Pie chart

Question 25

Simplify the expression:  $Log_{4}16$ +  $Log_{3}27$ + $Log_{8}4096$

Accepted Answer

E. 9

Answer

A. -9

Answer

B. $\frac{1}{3}$

Answer

C. $\frac{1}{9}$

Answer

D. 3

Question 26

The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?

Accepted Answer

A. 18

Answer

B. 23

Answer

C. 25

Answer

D. 36

Answer

E. 70

Question 27

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

Accepted Answer

B. 9a – 16a2

Answer

A. 9a + 16a2

Answer

C. 3a + 16a2

Answer

D. 3a - 16a2

Answer

E. a - 16a2

Question 28

The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.

Accepted Answer

C. 2.9

Answer

A. 6.1

Answer

B. 4.8

Answer

D. 2.1

Answer

E. 1.9

Question 29

The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone

Accepted Answer

C. 28cm

Answer

A. 7cm

Answer

B. 22cm

Answer

D. 49cm

Answer

E. 154cm

Question 30

The chances of Usman and Dele passing a Mathematics test are 3/5 and 1/3, respectively. What is the probability that neither of them passes the test?

Accepted Answer

C. $\frac{4}{15}$

Answer

A. $\frac{3}{5}$

Answer

B. $\frac{2}{5}$

Answer

D. $\frac{1}{5}$

Answer

E. $\frac{2}{15}$

Question 31

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

Accepted Answer

C. (44 - 3$\sqrt{3}$) ÷ 83

Answer

A. (44 + 3$\sqrt{3}$) ÷ 83

Answer

B. (44 + 2$\sqrt{3}$) ÷ 83

Answer

D. (44 - 4$\sqrt{3}$) ÷ 83

Answer

E. (44 - 2$\sqrt{3}$) ÷ 83

Question 32

Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?

Accepted Answer

D. 2.53m

Answer

A. 9.60m

Answer

B. 6.06m

Answer

C. 2.54m

Answer

E. 2.00m

Question 33

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

Accepted Answer

B. 1

Answer

A. 0.015

Answer

C. 10

Answer

D. 39.81

Answer

E. 45

Question 34

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

Accepted Answer

E. 79

Answer

A. 27

Answer

B. 38

Answer

C. 54

Answer

D. 63

Question 35

Evaluate (25 × 4-2) ÷ (2-3 × 26)

Accepted Answer

E. $\frac{1}{4}$

Answer

A. 9

Answer

B. 8

Answer

C. 3

Answer

D. $\frac{8}{9}$

Question 36

A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?

Accepted Answer

B. 945

Answer

A. 262.5

Answer

C. 970

Answer

D. 995

Answer

E. 1822.9

Question 37

If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.

Accepted Answer

B. 2, 2

Answer

A. 1, 2

Answer

C. 2, 3

Answer

D. 3, 2

Answer

E. 3,3

Question 38

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.

Accepted Answer

E. III

Answer

A. I and II

Answer

B. I and III

Answer

C. II and III

Answer

D. I

Question 39

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

Accepted Answer

C. 6.3

Answer

A. 1.5

Answer

B. 6.1

Answer

D. 12.6

Answer

E. 21

2008 NECO Mathematics Past Questions

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