2004 NECO Mathematics Past Questions & Answers

Question 1

Find x if (x - 2)2 = 1$\frac{7}{9}$

Accepted Answer

B. 3$\frac{1}{3}$ or $\frac{2}{3}$

Answer

A. $\frac{2}{3}$ or $\frac{2}{7}$

Answer

C. 3$\frac{7}{9}$ or $\frac{2}{7}$

Answer

D. 3$\frac{1}{3}$ or $\frac{7}{9}$

Answer

E. $\frac{3}{7}$ or $\frac{2}{9}$

Question 2

The nth term of a sequence is given as $4 	imes 3^{(3 - n)}$. Calculate the third term.

Accepted Answer

C. 4

Answer

A. 12

Answer

B. 32

Answer

D. 3

Answer

E. 1

Question 3

Evaluate $1011_{two}$ + $1101_{two}$ + $1001_{two}$ - $111_{two}$

Accepted Answer

D. 11010$_{two}$

Answer

A. 10001$_{two}$

Answer

B. 11001$_{two}$

Answer

C. 110001$_{two}$

Answer

E. 10001$_{two}$

Question 4

A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man

Accepted Answer

E. 29° 54′

Answer

A. 50° 54′

Answer

B. 35° 06′

Answer

C. 30° 00′

Answer

D. 290 90′

Question 5

The expression 4x2 - 4 has the following as its factors EXCEPT

Accepted Answer

D. 4x + 1

Answer

A. x - 1

Answer

B. x + 1

Answer

C. x2 -1

Answer

E. 4x - 4

Question 6

A car travels at an average speed of 75km/h. Find its speed in metres per second.

Accepted Answer

D. 20.8m/s

Answer

A. 270m/s

Answer

B. 208m/s

Answer

C. 27.0m/s

Answer

E. 2.08m/s

Question 7

If cos x = 4/5, 0° $ \leq $ x $ \leq $ 90°, find the value of (1 + tan x)/(1 - tan x)

Accepted Answer

B. 7

Answer

A. 9

Answer

C. 4

Answer

D. $\frac{7}{16}$

Answer

E. $\frac{9}{25}$

Question 8

Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

Accepted Answer

C. 11.5 yrs.

Answer

A. 10.5yrs.

Answer

B. 11yrs.

Answer

D. 12yrs.

Answer

E. 12.5yrs.

Question 9

If y varies inversely as x2, how does x vary with y?

Accepted Answer

B. x varies inversely as $\sqrt{y}$

Answer

A. x varies inversely as y2

Answer

C. x varies directly as y2

Answer

D. x varies directly as $\sqrt{y}$

Answer

E. x varies directly as y

Question 10

Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form

Accepted Answer

E. 8.7796 × 10-5

Answer

A. 8.7796 × 105

Answer

B. 8.7796 × 104

Answer

C. 8.7796 × 103

Answer

D. 8.7796 × 10-3

Question 11

The bearing of Y from X is 085º. What is the bearing of X from Y?

Accepted Answer

D. 265°

Answer

A. 005°

Answer

B. 095°

Answer

C. 185°

Answer

E. 275°

Question 12

Express the quotient of 0.422 and 0.004 in standard form

Accepted Answer

A. 1.055 × 102

Answer

B. 10.55 × 101

Answer

C. 105 × 100

Answer

D. 10.55 × 10-1

Answer

E. 1.055 × 10-2

Question 13

A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?

Accepted Answer

C. 6.30%

Answer

A. 6.00%

Answer

B. 6.20%

Answer

D. 6.60%

Answer

E. 6.70%

Question 14

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

Accepted Answer

D. 4p - q

Answer

A. P -3q

Answer

B. $\frac{1}{3}$ (p - 3q)

Answer

C. 3q

Answer

E. 12p - 3q

Question 15

The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

Accepted Answer

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

Answer

A. 3

Answer

B. $\frac{2}{3}$

Answer

D. -$\frac{1}{3}$

Answer

E. -3

Question 16

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

Accepted Answer

C. 5

Answer

A. 2

Answer

B. 4

Answer

D. 8

Answer

E. 10

Question 17

Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

Accepted Answer

E. 21$\sqrt{15}$cm2

Answer

A. 5$\sqrt{15}$cm2

Answer

B. 7$\sqrt{15}$cm2

Answer

C. 21$\sqrt{3}$cm2

Answer

D. 21$\sqrt{5}$cm2

Question 18

The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus

Accepted Answer

A. 68cm

Answer

B. 72cm

Answer

C. 80cm

Answer

D. 88cm

Answer

E. 92cm

Question 19

What must be added to b2-3ab to make it a perfect square?

Accepted Answer

E. $\frac{9^2}{4}$

Answer

A. -3a

Answer

B. -$\frac{3}{2}$

Answer

C. $\frac{9}{4}$

Answer

D. $\frac{9a}{4}$

Question 20

The angle subtended by a diameter of a circle at the circumference is a/an

Accepted Answer

D. right angle

Answer

A. acute angle

Answer

B. obtuse angle

Answer

C. reflex angle

Answer

E. supplementary angle

Question 21

Evaluate ut - $\frac{1}{2}$ft2 when t = 5, u = -20 and f = 10

Accepted Answer

E. -225

Answer

A. 225

Answer

B. 72

Answer

C. -75

Answer

D. -125

Question 22

Find the value of t such that the expression $\frac{1}{t}$ + $\frac{4}{3}$ - $\frac{5}{6t}$ + 1 is equal to zero

Accepted Answer

B. $\frac{1}{-14}$

Answer

A. $\frac{1}{6}$

Answer

C. - $\frac{3}{2}$

Answer

D. $\frac{7}{6}$

Answer

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

Question 23

Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides

Accepted Answer

C. 6$\sqrt{2}$cm

Answer

A. 12cm

Answer

B. 9$\sqrt{2}$cm

Answer

D. 6cm

Answer

E. 3$\sqrt{2}$cm

Question 24

Simplify $(216^{{\frac{1}{3}}})^{-2}$

Accepted Answer

A. $\frac{1}{36}$

Answer

B. $\frac{1}{18}$

Answer

C. $\frac{1}{13}$

Answer

D. $\frac{1}{6}$

Answer

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

Question 25

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

Accepted Answer

C. 6

Answer

A. 3

Answer

B. 4

Answer

D. 9

Answer

E. 12

Question 26

Divide the LCM of 15abc and 20a$^2$bc by their HCF

Accepted Answer

B. 12a

Answer

A. 10a

Answer

C. 5abc

Answer

D. 12a2bc

Answer

E. 60a2bc

Question 27

Express the product of 0.007 and 0.057 to two significant figures

Accepted Answer

A. 0.0004

Answer

B. 0.00039

Answer

C. 0.004

Answer

D. 0.0039

Answer

E. 0.04

Question 28

Evaluate (Log13 - log5) ÷ X(log5-log13) without using tables

Accepted Answer

D. –X-1

Answer

A. X

Answer

B. –x

Answer

C. X-1

Answer

E. -1

Question 29

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = $\frac{22}{5}$)

Accepted Answer

D. 154.0cm2

Answer

A. 12.8cm2

Answer

B. 25.7cm2

Answer

C. 77.0cm2

Answer

E. 179.7cm2

Question 30

If log102 = 0.3010 and log103 = 0.4771, simplify: (Log108-log92) ÷ (Log109 - log102)

Accepted Answer

E. -0.0784

Answer

A. 4

Answer

B. 3

Answer

C. 0.0784

Answer

D. -4

Question 31

The roots of a quadratic equation in x, are -m and 2n. Fine equation.

Accepted Answer

A. x2 - x(2n-m) – 2mn = 0

Answer

B. x2 + x(2n - m) - 2mn = 0

Answer

C. x2 + x(m - 2n) + 2mn = 0

Answer

D. X2 + x (m + 2n ) + 2mn = 0

Answer

E. x2 - x (m - 2n) - 2mn = 0

Question 32

Solve the equation: $\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0$

Accepted Answer

B. 2

Answer

A. 3

Answer

C. $\frac{3}{2}$

Answer

D. $\frac{2}{3}$

Answer

E. -3

Question 33

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

Accepted Answer

A. 64

Answer

B. 48

Answer

C. 43

Answer

D. 24

Answer

E. 11

Question 34

A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?

Accepted Answer

A. $\frac{1}{6}$

Answer

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

Answer

C. $\frac{16}{18}$

Answer

D. $\frac{3}{8}$

Answer

E. $\frac{4}{9}$

Question 35

If the mean of the following set of data, 2, 3,3,3, 2,4, 4, and 3 is divided by its mode, the result is:

Accepted Answer

A. 1

Answer

B. 2

Answer

C. 3

Answer

D. 5

Answer

E. 8

2004 NECO Mathematics Past Questions

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