Year : 
2001
Title : 
Mathematics
Exam : 
NECO - BECE

Paper 1 | Objectives

21 - 30 of 35 Questions

# Question Ans
21.

Find the value of x in the equation: 9x = 729

A. 81

B. 27

C. 18

D. 9

E. 3

A
22.

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

A. 57°

B. 45°

C. 33°

D. 16°

E. 89°

E
23.

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

A. 14 cm\(^3\)

B. 210 cm\(^3\)

C. 1,400 cm\(^3\)

D. 2,100 cm\(^3\)

E. 4,300 cm\(^3\)

Detailed Solution

\(Surface area (A) = 4\pi r^{2} = 616m^{2}\)
solving, we have
\(r = 7m\)
\(Volume = \frac{4}{3}\pi r^{3}\)
\(Volume = \frac{4\times 3.142 \times 7^{3}}{3}\)
\(Volume = \frac{4310.824}{3}\)
= \(1436.941m^{3} \approxeq 1400m^{3}(2 sig. fig)\)
24.

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

A. \(\frac{10}{17}\)

B. \(\frac{7}{17}\)

C. \(\frac{20}{51}\)

D. \(\frac{3}{17}\)

E. \(\frac{1}{51}\)

Detailed Solution

No of women wearing both purple and white shoes = 21 + 9
= 30 women.
No of women wearing neither purple nor white shoes = 51 - 30
= 21 women
\(\therefore\) Probability of picking a woman wearing neither purple nor white shoes
= \(\frac{21}{51}\)
= \(\frac{7}{17}\).
25.

The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)

A. 1:03

B. 1:07

C. 3:01

D. 3:07

E. 7:01

Detailed Solution

C.S.A = 5,544
Volume = 38,808
S : V = 1 : 07
26.

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

A. N3450.00

B. N3910.00

C. N4000.00

D. N5290.00

E. N6900.00

C
27.

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

A. 567

B. 280

C. 189

D. 63

E. 21

C
28.

Express 0.03785 in standard form correct to 3 significant figures.

A. 3 × 10\(^{-2}\)

B. 3.78 × 10\(^{-2}\)

C. 3.79 × 10\(^{-2}\)

D. 3.79 × 10\(^{-1}\)

E. 3.78 × 10\(^{-2}\)

C
29.

Convert 101.0112 to base 10

A. 63

B. 43

C. 10

D. \(\frac{77}{8}\)

E. \(\frac{53}{8}\)

E
30.

Solve the equation x2 - 3x - 10 = 0

A. -2 or -5

B. -3 or -10

C. 5 or -2

D. 2 or 5

E. 3 or 10

C
21.

Find the value of x in the equation: 9x = 729

A. 81

B. 27

C. 18

D. 9

E. 3

A
22.

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

A. 57°

B. 45°

C. 33°

D. 16°

E. 89°

E
23.

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

A. 14 cm\(^3\)

B. 210 cm\(^3\)

C. 1,400 cm\(^3\)

D. 2,100 cm\(^3\)

E. 4,300 cm\(^3\)

Detailed Solution

\(Surface area (A) = 4\pi r^{2} = 616m^{2}\)
solving, we have
\(r = 7m\)
\(Volume = \frac{4}{3}\pi r^{3}\)
\(Volume = \frac{4\times 3.142 \times 7^{3}}{3}\)
\(Volume = \frac{4310.824}{3}\)
= \(1436.941m^{3} \approxeq 1400m^{3}(2 sig. fig)\)
24.

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

A. \(\frac{10}{17}\)

B. \(\frac{7}{17}\)

C. \(\frac{20}{51}\)

D. \(\frac{3}{17}\)

E. \(\frac{1}{51}\)

Detailed Solution

No of women wearing both purple and white shoes = 21 + 9
= 30 women.
No of women wearing neither purple nor white shoes = 51 - 30
= 21 women
\(\therefore\) Probability of picking a woman wearing neither purple nor white shoes
= \(\frac{21}{51}\)
= \(\frac{7}{17}\).
25.

The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)

A. 1:03

B. 1:07

C. 3:01

D. 3:07

E. 7:01

Detailed Solution

C.S.A = 5,544
Volume = 38,808
S : V = 1 : 07
26.

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

A. N3450.00

B. N3910.00

C. N4000.00

D. N5290.00

E. N6900.00

C
27.

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

A. 567

B. 280

C. 189

D. 63

E. 21

C
28.

Express 0.03785 in standard form correct to 3 significant figures.

A. 3 × 10\(^{-2}\)

B. 3.78 × 10\(^{-2}\)

C. 3.79 × 10\(^{-2}\)

D. 3.79 × 10\(^{-1}\)

E. 3.78 × 10\(^{-2}\)

C
29.

Convert 101.0112 to base 10

A. 63

B. 43

C. 10

D. \(\frac{77}{8}\)

E. \(\frac{53}{8}\)

E
30.

Solve the equation x2 - 3x - 10 = 0

A. -2 or -5

B. -3 or -10

C. 5 or -2

D. 2 or 5

E. 3 or 10

C