Mathematics Past Questions and Answers

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

A 2 -√3
B -2 - √3
C 2 + √3
D -2 + √3

Question 42:

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A 1 : 250 000
B 1 : 25 000
C 1 : 500
D 1 : 5 000

Question 43:

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

A 45^o
B 75^o
C 30^o
D 60^o

Question 44:

The shaded area in the diagram above is represented by

A {(x,y) : y - 3x < -6}
B {(x,y) : y + 3x < 6}
C {(x,y) : y + 3x < -6}
D {(x,y) : y - 3x < 6}

Question 45:

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

A 56 cm
B 22 cm
C 42 cm
D 44 cm