Year : 
2004
Title : 
Mathematics
Exam : 
NECO - BECE

Paper 1 | Objectives

1 - 10 of 35 Questions

# Question Ans
1.

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

A. 12.8cm2

B. 25.7cm2

C. 77.0cm2

D. 154.0cm2

E. 179.7cm2

D

2.

Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides

A. 12cm

B. 9\(\sqrt{2}\)cm

C. 6\(\sqrt{2}\)cm

D. 6cm

E. 3\(\sqrt{2}\)cm

C

3.

The nth term of a sequence is given as 4 x 3(3 - n). Calculate the third term.

A. 12

B. 32

C. 4

D. 3

E. 1

C

4.

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

A. x varies inversely as y2

B. x varies inversely as \(\sqrt{y}\)

C. x varies directly as y2

D. x varies directly as \(\sqrt{y}\)

E. x varies directly as y

B

5.

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

A. 10001\(_{two}\)

B. 11001\(_{two}\)

C. 110001\(_{two}\)

D. 11010\(_{two}\)

E. 10001\(_{two}\)

Detailed Solution

Convert each value to decimal (base 10)
\(1011_{two}\) → 11
+ \(1101_{two}\) → 13
+ \(1001_{two}\) → 9
- \(111_{two}\) → 7
: 11 + 13 + 9 - 7 = 26
26 → \(11010_{two}\)
6.

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

A. 5\(\sqrt{15}\)cm2

B. 7\(\sqrt{15}\)cm2

C. 21\(\sqrt{3}\)cm2

D. 21\(\sqrt{5}\)cm2

E. 21\(\sqrt{15}\)cm2

E

7.

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?

A. 2

B. 4

C. 6

D. 8

E. 10

C

8.

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

A. acute angle

B. obtuse angle

C. reflex angle

D. right angle

E. supplementary angle

D

9.

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

A. 8.7796 × 105

B. 8.7796 × 104

C. 8.7796 × 103

D. 8.7796 × 10-3

E. 8.7796 × 10-5

E

10.

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

A. x - 1

B. x + 1

C. x2 -1

D. 4x + 1

E. 4x - 4

D

1.

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

A. 12.8cm2

B. 25.7cm2

C. 77.0cm2

D. 154.0cm2

E. 179.7cm2

D

2.

Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides

A. 12cm

B. 9\(\sqrt{2}\)cm

C. 6\(\sqrt{2}\)cm

D. 6cm

E. 3\(\sqrt{2}\)cm

C

3.

The nth term of a sequence is given as 4 x 3(3 - n). Calculate the third term.

A. 12

B. 32

C. 4

D. 3

E. 1

C

4.

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

A. x varies inversely as y2

B. x varies inversely as \(\sqrt{y}\)

C. x varies directly as y2

D. x varies directly as \(\sqrt{y}\)

E. x varies directly as y

B

5.

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

A. 10001\(_{two}\)

B. 11001\(_{two}\)

C. 110001\(_{two}\)

D. 11010\(_{two}\)

E. 10001\(_{two}\)

Detailed Solution

Convert each value to decimal (base 10)
\(1011_{two}\) → 11
+ \(1101_{two}\) → 13
+ \(1001_{two}\) → 9
- \(111_{two}\) → 7
: 11 + 13 + 9 - 7 = 26
26 → \(11010_{two}\)
6.

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

A. 5\(\sqrt{15}\)cm2

B. 7\(\sqrt{15}\)cm2

C. 21\(\sqrt{3}\)cm2

D. 21\(\sqrt{5}\)cm2

E. 21\(\sqrt{15}\)cm2

E

7.

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?

A. 2

B. 4

C. 6

D. 8

E. 10

C

8.

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

A. acute angle

B. obtuse angle

C. reflex angle

D. right angle

E. supplementary angle

D

9.

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

A. 8.7796 × 105

B. 8.7796 × 104

C. 8.7796 × 103

D. 8.7796 × 10-3

E. 8.7796 × 10-5

E

10.

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

A. x - 1

B. x + 1

C. x2 -1

D. 4x + 1

E. 4x - 4

D