WAEC Mathematics Past Questions & Answers - Page 160

796.

Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.

A.

7.5 x 10-4

B.

7.5 x 10-3

C.

7.5 x 10-2

D.

7.5 x 10-1

Correct answer is B

\(\frac{0.3 \times 10^5}{0.4 \times 10^7} = \frac{3 \times 10^{-1} \times 10^{5}}{4 \times 10^{-1} \times 10^7}\)

\(\frac{3 x 10^4}{4 x 10^4}\)

\(\frac{3}{4}\) x 104-6 = 0.75 x 10-2

= 7.5 x 10-3

797.

Find the LCM of 23 x 3 x 52, 2 x 32 x 5 and 23 x 33 x 5

A.

22 x 33 x 52

B.

23 x 33 x 5

C.

22 x 32 x 52

D.

23 x 33 x 52

Correct answer is D

23 x 3 x 52

2 x 32 x 5

22 x 33 x 5

The L.C.M = 22 x 33 x 52

798.

Evaluate(111two)2 and leave your answer in base 2.

A.

111001two

B.

110001two

C.

101001two

D.

10010two

Correct answer is B

No explanation has been provided for this answer.

799.

In the diagram what is x + y in terms of z?

A.

180o - z

B.

180o + z

C.

z - 180o

D.

z

Correct answer is A

x + y + z = 180(sum of angles in a \(\bigtriangleup\))

x + y = 180 - z

800.

The diagram shows an arc MN of a circle, centre O, with 10cm. If < MON = 72o. calculate the length of the arc, correct to three significant figures. [Take \(\pi = \frac{22}{7}\)]

A.

6.28cm

B.

12.6cm

C.

22.6cm

D.

62.8cm

Correct answer is B

Length of arc = \(\frac{\theta}{360 \times 2 \pi r}\)

= \(\frac{72}{360} \times 2 \times \frac{22}{7} \times 10\)cm

= 12.57

= 12.6cm(3 s.f)