On her past five tests, Julie scored 100,90,67,89, and 78. What was the mean of her scores?

• A. 85.3
• B. 79.9
• C. 84.8
• D. 87.1

A cliff on the bank of a river is 300 metres high. if the angle of depression of a point on the opposite side of the river is 60° find the width of the river.

• A. 100m
• B. 75√3m
• C. 100√3m
• D. 200√3m

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. \((15i + 6j)ms^{-1}\)

A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places

• A. 3.05%
• B. 3.95%
• C. 15.00%
• D. 25.00%

Find all values of x satisfying the inequality -11 ≤ 4 - 3x ≤ 28

• A. -5 ≤ x v 8
• B. 5 ≤ x ≤ 8
• C. -8 ≤ x ≤ 5
• D. -5< x ≤ 8

Simplify \(\frac{1 + \sqrt{8}}{3 - \sqrt{2}}\).

• A. \(7 + \sqrt{2}\)
• B. \(7 + 7\sqrt{2}\)
• C. \(1 - 7\sqrt{2}\)
• D. \(1 + \sqrt{2}\)

Two forces 10N and 15N act on an object at an angle of 120° to each other. Find the magnitude of the resultant.

• A. \(5\sqrt{5}N\)
• B. \(5\sqrt{7}N\)
• C. \(7\sqrt{5}N\)
• D. \(7\sqrt{7}N\)

The n^th term of a sequence is T_n = 5 + (n - 1)². Evaluate T₄ - T₆

• A. 30
• B. 16
• C. -16
• D. -30

Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)

• A. 4\(\sqrt{3}\)
• B. \(\frac{4}{\sqrt{3}}\)
• C. 3\(\sqrt{3}\)
• D. \(\frac{\sqrt{3}}{4}\)

Calculate the area of an equilateral triangle of side 8cm

• A. 8√3
• B. 16
• C. 4√3
• D. 16√3