JAMB Mathematics Past Questions & Answers - Page 164

816.

(3.2)2 - (1.8)2 equals

A.

7.0

B.

2.56

C.

13.48

D.

2.0

E.

0.07

Correct answer is A

(3.2)2 - (1.8)2 = (3.2 + 1.8)(3.2 - 1.8)

= 5 x 1.4

= 7

817.

If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

A.

5544m2

B.

1386m2

C.

132m2

D.

264m2

E.

693m2

Correct answer is E

\(\pi\) = \(\frac{22}{7}\), Diameter D = 42m

Area of a circle = \(\frac{\pi D^2}{4}\) when a diameter is given

area of a semicircle \(\frac{\pi D^2}{4}\) x \(\frac{1}{2}\)

= \(\frac{22}{7}\) x \(\frac{4262}{4}\) x \(\frac{1}{2}\)

= \(\frac{11}{7} \times 441\)

= 693m\(^{2}\)

818.

\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\) equals

A.

2 x 10-5

B.

2 x 10-1

C.

2 x 101

D.

2 x 10-4

Correct answer is C

\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\)

= \(\frac{1.28 \times 10^{4}}{6.4 \times 10^{2}}\)

\(\equiv \frac{12.8 \times 10^{3}}{6.4 \times 10^{2}}\)

= \(2 \times 10^{1}\)

819.

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is

A.

1.5

B.

0.8

C.

1.0

D.

1.02

E.

1.05

Correct answer is E

\(\frac{1.2 + 1.0 + 0.9 + 1.4 + 0.8 + 0.8 + 1.2}{8}\) = \(\frac{8.4}{8}\)

= 1.05

820.

Write the decimal number 39 to base 2

A.

10011 base 2

B.

110111 base 2

C.

111001 base 2

D.

100101 base 2

E.

19.5 base 2

Correct answer is A

\(\begin{array}{c|c} 2 & 39\\ 2 & 19 R 1\\ 2 & 9 R 1\\2 & 4 R 0\\2 & 1 R 0\\ 2 & 1 R 1\end{array}\)

= 10011 base 2