Mathematics Past Questions and Answers

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

A 60m
B 60\(\sqrt{3}\)m
C 80\(\sqrt{3}\)m
D 120\(\sqrt{3}\)m
E 240m

Question 57:

If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs

A 3.20 ms²
B 11.31 ms²
C 32.00 ms²
D 56.57 ms²
E 160.00 ms²

Question 58:

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

A \(\frac{27}{125}\)
B \(\frac{9}{25}\)
C \(\frac{72}{125}\)
D \(\frac{76}{125}\)
E \(\frac{81}{125}\)

Question 59:

What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?

A 440cm\(^2\)
B 220cm\(^2\)
C 88cm\(^2\)
D 44cm\(^2\)
E 22cm\(^2\)

Question 60:

A wire was shaped to form a square of area 81cm². An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

A 3cm
B 6cm
C 9cm
D 12cm
E 27cm