Mathematics Past Questions and Answers

A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?

A 5kg
B 16kg
C 19kg
D 6kg

Question 37:

PRSQ is a trapezium of area 14cm² in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm²

A 7.0
B 6.0
C 5.2
D 5.0

Question 38:

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?

A \(\frac{2}{3}\)
B \(\frac{2}{15}\)
C \(\frac{1}{2}\)
D \(\frac{1}{3}\)

Question 39:

Two points X and Y both on latitude 60^oS have longitude147^oE and 153^oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2\(\pi\)R = 4 x 10⁴km, where R is the radius of the earth)

A 16667km
B 28850km
C 8333km
D 2233km

Question 40:

In a class of 120 students, 18 of them scored an A grade in mathematics. If the section representing the A grade students on a pie chart has angle Z^o at the centre of the circle, what is Z?

A 15
B 27
C 50
D 52
E 54