## Mathematics (2018) | Study Mode

Question 61
A
1.1
B
1.0
C
0.9
D
0.10
Explanation.

9 is on one decimal place, the next number to it is 8 which will be rounded up to 1 because it is greater than 5 and then added to 9 to give 10, 10 cannot be written, it will then be rounded up to 1 and added to 0.

Question 62
A
1$$\frac{1}{4}$$
B
2$$\frac{1}{4}$$
C
D
10
Explanation.

Using law of indices

25$$\frac{1}{2}$$ 8$$\frac{-2}{3}$$

= 25 x ($$\sqrt[3]{8}$$) -2

= 5 x 2-2

= 5 x $$\frac{1}{2^2}$$ =

$$\frac{5}{4}$$ = $$\frac{11}{4}$$

Question 63
A

026$$^o$$

B

045$$^o$$

C

210$$^o$$

D

240$$^o$$

Explanation.

Cos = $$\frac{adj}{hyp}$$

= $$\frac{300}{600}$$

= 0.5

= Cos - 10.5

= 60

RPQ = PQs

So the bearing of P from Q is 180 + 60 = 240$$^o$$

Question 64
A
111
B
121
C
123
D
143
Explanation.

54 $$_{eight}$$ and 67$$_{eight}$$ = 1438

Starting with normal addition, 4 + 7 gives 11

(it is more than the base, 8) 8 goes in 11 just 1 time, remaining 3, the remainder will be written, and the 1 will be added to the sum of 5 and 6 which gives 12 altogether, 8 goes in 12 one time remaining 4, the remainder 4 was written and then the 1 that was the quotient was then written since nothing to add the 1 to.

So answer is 143 in base eight

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