Mathematics Past Questions and Answers

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

A \(\frac{\sqrt{3}}{2}\) cm
B 3\(\frac{\sqrt{3}}{2}\) cm
C 3\(\sqrt{3}\) cm
D 2\(\sqrt{3}\) cm

Question 32:

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A 68cm
B 84cm
C 100cm
D 120cm

Question 33:

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A 10(sin 35^o - sin 55^o)
B 10 cos35^o - cos 55^o
C 10(tan35^o - tan55^o)
D 10(cot35^o - cot55^o)

Question 34:

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A 30^o
B 45^o
C 60^o
D 9^o

Question 35:

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A 336
B 420
C 576
D 720