How many times do the hands of a clock overlap in 24 hours?

• A. 22
• B. 24
• C. 20
• D. 48

The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.

• A. 3.6 cm
• B. 7.6 cm
• C. 8.0 cm
• D. 11.6 cm

Evaluate \(\int\)(cos4x + sin3x)dx

• A. sin4x - cos3x + k
• B. sin4x + cos3x + k
• C. 1/4sin4x - 1/3cos3x + k
• D. 1/4sin4x + 1/3cos3x + k

In Δ LMN, |LM| = 6cm, ∠LNM = x and sin x = sin x = \(\frac{3}{5}\).

Find the area of Δ LMN

• A. 60cm\(^2\)
• B. 48cm\(^2\)
• C. 24cm\(^2\)
• D. 30cm\(^2\)

A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement

• A. 2⁷/₉%
• B. 2⁶/₇%
• C. 5%
• D. 27⁷/₉%

Express 0.00562 in standard form

• A. 5.62 x 10⁻³
• B. 5.62 x 10⁻²
• C. 562 x 10⁻²
• D. 5.62 x 10²

Study the given histogram below and answer the question that follows.

What is the total number of students that scored at most 50 marks?

• A. 380
• B. 340
• C. 360
• D. 240

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

• A. 52cm
• B. 43cm
• C. 40cm
• D. 15cm

(a) A number is selected at random from each of the sets {2, 3, 4} and {1, 3, 5}. What is the probability that the sum of the two numbers will be less than 7 but greater than 3?

(b)

In the diagram, ABCD is a circle. DAE, CBE, ABF and DCF are straight lines. If y + m = 90°, find the value of x.

Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\).

• A. -7i - 8j
• B. -3i + 2j
• C. 3i - 2j
• D. 3i + 8j