Waec Further Mathematics 2007 Past Questions and Answers

Question 36:

• WAEC 2007

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

A. 0.024
B. 0.336
C. 0.664
D. 0.976

Question 37:

• WAEC 2007

Given that \(R = (4, 180°)\) and \(S = (3, 300°)\), find the dot product.

A. \(-6\sqrt{3}\)
B. -6
C. 6
D. \(6\sqrt{3}\)

Question 38:

• WAEC 2007

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.

A. 7.2
B. 6.6
C. 3.6
D. 3.2

Question 39:

• WAEC 2007

A group of 5 boys and 4 girls is to be chosen from a class of 8 boys and 6 girls. In how many ways can this be done?

A. 840
B. 480
C. 408
D. 380

Question 40:

• WAEC 2007

A force of 30 N acts at an angle of 60° on a body of mass 6 kg initially at rest on a smooth horizontal plane. Find the distance covered in 10 seconds.

A. \(125\sqrt{3} m\)
B. \(125 m\)
C. \(62.5 m\)
D. \(25\sqrt{3} m\)