JAMB Mathematics Past Questions & CBT Practice

P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28

1. A.68✓ Correct
2. B.64
3. C.66
4. D.62

A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of  200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the distance of the building to tree R.

1. A.200$\sqrt{3}$
2. B.100$\sqrt{3}$
3. C.100
4. D.$\frac{200}{\sqrt{3}}$✓ Correct

The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2?

1. A.2
2. B.5✓ Correct
3. C.7
4. D.8

If I is a 2 × 2 identity matrix, find the determinant of the matrix.

1. A.1✓ Correct
2. B.2
3. C.-1
4. D.0

From the figure above, find the length of Chord PQ

1. A.17cm
2. B.18cm
3. C.7cm✓ Correct
4. D.9cm

Find the value of t for which ($\frac{1}{2}$)$^{t - 1}$ = 64

1. A.-6
2. B.-5✓ Correct
3. C.-7
4. D.-4