Waec Further Mathematics 2009 Past Questions and Answers

Question 36:

• WAEC 2009

Express the force F = (8 N, 150°) in the form (a i + b j) where a and b are constants.

A. \(4\sqrt{3} i - 4j\)
B. \(4 i - 4\sqrt{3} j\)
C. \(- 4 i + 4\sqrt{3} j\)
D. \(- 4\sqrt{3} i + 4j\)

Question 37:

• WAEC 2009

Three defective bulbs got mixed up with seven good ones. If two bulbs are selected at random, what is the probability that both are good?

A. \(\frac{3}{7}\)
B. \(\frac{21}{50}\)
C. \(\frac{7}{15}\)
D. \(\frac{49}{100}\)

Question 38:

• WAEC 2009

The ages, in years, of 5 boys are 5, 6, 6, 8 and 10. Calculate, correct to one decimal place, the standard deviation of their ages.

A. 3.2 years
B. 2.6 years
C. 1.9 years
D. 1.8 years

Question 39:

• WAEC 2009

A body is acted upon by forces \(F_{1} = (10 N, 090°)\) and \(F_{2} = (6 N, 180°)\). Find the magnitude of the resultant force.

A. 11.6 N
B. 11.7 N
C. 11.8 N
D. 11.9 N

Question 40:

• WAEC 2009

In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find the relation between x and y.

A. \(y = \frac{1}{2}x + 30\)
B. \(y = \frac{1}{2}x + 30\)
C. \(y = x + 30\)
D. \(y = x - 30\)