Year : 
2002
Title : 
Mathematics
Exam : 
NECO - BECE

Paper 1 | Objectives

21 - 30 of 32 Questions

# Question Ans
21.

What must be added to 3x2 - 5x to make it a perfect square?

A. \(\frac{36}{25}\)

B. \(\frac{25}{36}\)

C. -\(\frac{25}{36}\)

D. -\(\frac{5}{6}\)

E. -\(\frac{6}{5}\)

B

22.

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

A. x > 3

B. x ≥ 3

C. x ≤ 3

D. x < 3

E. x ≤ -3

B

23.

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x2 - 1)]

A. - 3x ÷ (x2 - 1)

B. - x ÷ (x2 -1)

C. x ÷ (x2 - 1)

D. (x + 1) ÷ (x2 - 1)

E. (x + 4) ÷ (x2 - 1)

B

24.

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

A. 1.52m

B. 1.53m

C. 1.54

D. 1.55m

E. 1.56m

C

25.

The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

A. 1.11

B. 65

C. 1.85

D. 2.45

E. 3.85

Detailed Solution

Mean of 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10
→ \(\frac{8.4}{8}\) = 1.05 → p
Range = 1.40 - 0.80 = 0.60 → q
p ÷ q = 1.05 ÷ 0.60
= 1.75
26.

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

A. 20.64m

B. 29.48m

C. 44.49m

D. 49.55m

E. 62.76m

E

27.

After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

A. 2\(\frac{4}{5}\) years

B. 1\(\frac{2}{3}\) years

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

D. 1 years

E. \(\frac{3}{5}\) year

B

28.

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

A. \(\frac{17}{30}\)

B. \(\frac{65}{102}\)

C. \(\frac{25}{34}\)

D. \(\frac{102}{75}\)

E. \(\frac{34}{25}\)

E

29.

An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

A. 3 : 1 : 4

B. 3 : 2 : 1

C. 3 : 2 : 4

D. 3 : 3 : 4

E. 3 : 2 : 8

E

30.

Simplify 2a2 -4ab - 6a2 - 10ab + 5ab - 5a2

A. -9(a + b)

B. 9(a + b)

C. -9a (a + b)

D. 9a(a - b)

E. 9b(a + b)

C

21.

What must be added to 3x2 - 5x to make it a perfect square?

A. \(\frac{36}{25}\)

B. \(\frac{25}{36}\)

C. -\(\frac{25}{36}\)

D. -\(\frac{5}{6}\)

E. -\(\frac{6}{5}\)

B

22.

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

A. x > 3

B. x ≥ 3

C. x ≤ 3

D. x < 3

E. x ≤ -3

B

23.

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x2 - 1)]

A. - 3x ÷ (x2 - 1)

B. - x ÷ (x2 -1)

C. x ÷ (x2 - 1)

D. (x + 1) ÷ (x2 - 1)

E. (x + 4) ÷ (x2 - 1)

B

24.

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

A. 1.52m

B. 1.53m

C. 1.54

D. 1.55m

E. 1.56m

C

25.

The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

A. 1.11

B. 65

C. 1.85

D. 2.45

E. 3.85

Detailed Solution

Mean of 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10
→ \(\frac{8.4}{8}\) = 1.05 → p
Range = 1.40 - 0.80 = 0.60 → q
p ÷ q = 1.05 ÷ 0.60
= 1.75
26.

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

A. 20.64m

B. 29.48m

C. 44.49m

D. 49.55m

E. 62.76m

E

27.

After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

A. 2\(\frac{4}{5}\) years

B. 1\(\frac{2}{3}\) years

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

D. 1 years

E. \(\frac{3}{5}\) year

B

28.

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

A. \(\frac{17}{30}\)

B. \(\frac{65}{102}\)

C. \(\frac{25}{34}\)

D. \(\frac{102}{75}\)

E. \(\frac{34}{25}\)

E

29.

An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

A. 3 : 1 : 4

B. 3 : 2 : 1

C. 3 : 2 : 4

D. 3 : 3 : 4

E. 3 : 2 : 8

E

30.

Simplify 2a2 -4ab - 6a2 - 10ab + 5ab - 5a2

A. -9(a + b)

B. 9(a + b)

C. -9a (a + b)

D. 9a(a - b)

E. 9b(a + b)

C