Year : 
2005
Title : 
Mathematics
Exam : 
NECO - BECE

Paper 1 | Objectives

1 - 10 of 36 Questions

# Question Ans
1.

The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.

A. 96cm2

B. 48cm2

C. 24cm2

D. 0.14cm2

E. 12cm2

Detailed Solution

Area of a rhombus = \(\frac{pq}{2}\)
where p and q are the two diagonals of the rhombus.

2.

Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?

A. 1\(\frac{1}{2}\)years

B. 3years

C. 4\(\frac{1}{2}\)years

D. 6 years

E. 8 years

B

3.

If (x - a) is a factor of bx - ax + x2 - ab, what is the other factor?

A. (x + b)

B. (b - a)

C. (x - a)

D. (a + b)

E. (a - b)

A

4.

Simplify (6 - x - x2) ÷ (x2 - 4)

A. (3 + x) ÷ (x + 2)

B. (x - 3) ÷ (x - 2)

C. (x - 3) ÷ (x + 3)

D. (3 - x) ÷ (x + 2)

E. (3 - x) ÷ (x - 2)

Detailed Solution

(6 - x - x2) = ( 2 - x ) ( 3 + x )
divides
( x^2 - 4 ) = ( -2 - x ) ( 2 - x )
= ( 3 + x ) / ( x + 2)
5.

Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.

A. 14.6

B. 14

C. 12

D. 6.2

E. 1.2

E

6.

In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.

A. 24m

B. 14m

C. 12m

D. 7m

E. 6m

A

7.

For what value(s) of x is the expression (x2 + 15x + 50) ÷ (x - 5) not defined

A. -5, -10

B. -10

C. -5

D. 5

E. 10, 5

D

8.

Evaluate log 18 + log6 - log16\(^{\frac{1}{2}}\)

A. log 3

B. log 9

C. log 20

D. 3 log 2

E. 3 log 3

E

9.

A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?

A. 1

B. \(\frac{13}{26}\)

C. \(\frac{5}{18}\)

D. \(\frac{4}{9}\)

E. \(\frac{2}{9}\)

D

10.

A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?

A. N272,000.00

B. N296,000.00

C. N300,000.00

D. N368,000.00

E. N400,000.00

D

1.

The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.

A. 96cm2

B. 48cm2

C. 24cm2

D. 0.14cm2

E. 12cm2

Detailed Solution

Area of a rhombus = \(\frac{pq}{2}\)
where p and q are the two diagonals of the rhombus.

2.

Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?

A. 1\(\frac{1}{2}\)years

B. 3years

C. 4\(\frac{1}{2}\)years

D. 6 years

E. 8 years

B

3.

If (x - a) is a factor of bx - ax + x2 - ab, what is the other factor?

A. (x + b)

B. (b - a)

C. (x - a)

D. (a + b)

E. (a - b)

A

4.

Simplify (6 - x - x2) ÷ (x2 - 4)

A. (3 + x) ÷ (x + 2)

B. (x - 3) ÷ (x - 2)

C. (x - 3) ÷ (x + 3)

D. (3 - x) ÷ (x + 2)

E. (3 - x) ÷ (x - 2)

Detailed Solution

(6 - x - x2) = ( 2 - x ) ( 3 + x )
divides
( x^2 - 4 ) = ( -2 - x ) ( 2 - x )
= ( 3 + x ) / ( x + 2)
5.

Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.

A. 14.6

B. 14

C. 12

D. 6.2

E. 1.2

E

6.

In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.

A. 24m

B. 14m

C. 12m

D. 7m

E. 6m

A

7.

For what value(s) of x is the expression (x2 + 15x + 50) ÷ (x - 5) not defined

A. -5, -10

B. -10

C. -5

D. 5

E. 10, 5

D

8.

Evaluate log 18 + log6 - log16\(^{\frac{1}{2}}\)

A. log 3

B. log 9

C. log 20

D. 3 log 2

E. 3 log 3

E

9.

A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?

A. 1

B. \(\frac{13}{26}\)

C. \(\frac{5}{18}\)

D. \(\frac{4}{9}\)

E. \(\frac{2}{9}\)

D

10.

A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?

A. N272,000.00

B. N296,000.00

C. N300,000.00

D. N368,000.00

E. N400,000.00

D