### Further Mathematics Past Questions

31
 Face 1 2 3 4 5 6 Frequency 12 18 y 30 2y 45

Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

• A. $$\frac{1}{10}$$
• B. $$\frac{1}{6}$$
• C. $$\frac{1}{5}$$
• D. $$\frac{3}{10}$$
32
 Face 1 2 3 4 5 6 Frequency 12 18 y 30 2y 45

Given the table above as the result of tossing a fair die 150 times, find the mode.

• A. 3
• B. 4
• C. 5
• D. 6
33

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

• A. 9i + 44j
• B. -9i + 44j
• C. -9i - 44j
• D. 9i - 44j
34

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.

• A. $$(\frac{5i}{3} + \frac{2j}{3})ms^{-1}$$
• B. $$(\frac{10i}{3} + \frac{4j}{3})ms^{-1}$$
• C. $$(5i + 2j)ms^{-1}$$
• D. $$(15i + 6j)ms^{-1}$$
35

Solve $$3^{2x} - 3^{x+2} = 3^{x+1} - 27$$

• A. 1 or 0
• B. 1 or 2
• C. 1 or -2
• D. -1 or 2