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Further Mathematics Past Questions


Question 116:


Consider the statements:
p : Musa is short
q : Musa is brilliant
Which of the following represents the statement "Musa is short but not brilliant"?

A. \(p \vee q\)
B. \(p \vee \sim q\)
C. \(p \wedge \sim q\)
D. \(p \wedge q\)


Question 117:


If \(f(x) = \frac{4}{x} - 1, x \neq 0\), find \(f^{-1}(7)\).

A. \(\frac{-3}{7}\)
B. \(0\)
C. \(\frac{1}{2}\)
D. \(4\)


Question 118:


Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct to 2 dp, the angle that the resultant makes with the horizontal.

A. 80.76°
B. 75.00°
C. 71.99°
D. 15.00°


Question 119:


Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct to 2 d.p , the resultant force acting at O.

A. 14.06N
B. 13.00N
C. 9.83N
D. 8.26N


Question 120:


Forces \(F_{1} = (8N, 030°)\) and \(F_{2} = (10N, 150°)\) act on a particle. Find the horizontal component of the resultant force.

A. 1.7N
B. 4.5N
C. 9.0N
D. 13.0N






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