Post Utme Mathematics Past Questions and Answers

Question 351:

The sum of the first n terms of an arithmetic progression is 252.
If the first term is -16 and the last is 72, the number of terms is the series is.

A. 6
B. 7
C. 8
D. 9

Question 352:

An arc of a circle subtends an angle of 300 on the circumference of a circle of radius 21cm. Find the length of the arc.

A. 11cm
B. 22cm
C. 44cm
D. 66cm

Question 353:

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides.

A. 3cm
B. 4cm
C. 6cm
D. 7cm

Question 354:

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec, is 64cm long, find the length of a pendulum
whose period is 9 sec.

A. 36cm
B. 96cm
C. 144cm
D. 324cm

Question 355:

Given that the first and fourth terms of a G.P are 6 and 162 respectively, find the sum of the first three terms of the progression.

A. 8
B. 27
C. 48
D. 78