Mathematics Questions & Answers - Free Online Practice

1,216.

Which of the following is not a probability of Mary scoring 85% in a mathematics test?

0.15

0.57

0.94

1.01

Correct answer is D

The probability not scoring 85% is = 1 - pro(scoring 85%)

= 1 - \(\frac{85}{100}\) = 1 - 0.85

= 0.15

not scoring would be less than 1

1,217.

The bearing of Y from X is 060^o and the bearing of Z from Y = 060^o. Find the bearing of X from Z

300^o

240^o

180^o

120^o

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,218.

An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50^o, Find, correct to 2 decimal places, the height of the mast

8.60m

7.51m

7.15m

1.19m

View answer & explanation

Correct answer is C

Tan 50^o = \(\frac{h}{6}\)

h = 6 tan 50

= 6 x 1.1917

= 7.1505

= 7.15

1,219.

If sin x = \(\frac{5}{13}\) and 0^o \(\leq\) x \(\leq\) 90^o, find the value of (cos x - tan x)

\(\frac{7}{13}\)

\(\frac{12}{13}\)

\(\frac{79}{156}\)

\(\frac{209}{156}\)

View answer & explanation

Correct answer is C

Sin x = \(\frac{5}{13}\)

0^o \(\leq\) x \(\leq\) 90^o, (cos x - tan x)

AC² = AB² + BC²

13² = 5² + BC²

169 - 25 + BC²

169 - 25 = BC²

144 = BC²

Cos x = \(\frac{Adj}{Hyp}\) = \(\frac{12}{13}\)

BC = \(\sqrt{144}\)

BC = 12

tan x = \(\frac{opp}{adj} = \frac{5}{12}\)

BC = 12

cos x - tan x = \(\frac{12}{13} - \frac{5}{12}\)

\(\frac{144 - 65}{156} = \frac{79}{156}\)