PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q

• A. 3
• B. 4
• C. 1
• D. 2

The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?

• A. 39cm ≤ P ≤ 41cm
• B. 38cm ≤ P < 42cm
• C. 38.5cm ≤ P ≤ 41.5cm
• D. 38.5cm ≤ P ≤ 40cm

The locus of points equidistant from a fixed point.

• A. circle
• B. perpendicular lines
• C. straight line
• D. bisector

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?

• A. $130,000.00
• B. $128,000.00
• C. $125,000.00
• D. $120,000.00

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

• A. \(\frac{23}{5}\)
• B. -\(\frac{23}{5}\)
• C. -\(\frac{1}{8}\)
• D. \(\frac{21}{7}\)

Simplify (\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)

• A,. \(\frac{1}{5}\)
• B. \(\frac{1}{4}\)
• C. \(\frac{1}{36}\)
• D. \(\frac{1}{25}\)

Convert 112\(_6\) to a number in base three

• A. 2211
• B. 2121
• C. 1212
• D. 1122

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

• A. \(\frac{1}{2}\)
• B. \(\frac{1}{2}\sqrt{3}\)
• C. \(3\)
• D. \(2\sqrt{3}\)

If log 5.957 = 0.7750, find log \(3 \sqrt{0.0005957}\)

• A. 4.1986
• B. 2.9250
• C. 1.5917
• D. 1.2853

If the volume of a hemisphere is increasing at a steady rate of 18Ï€ m³ s^−1, at what rate is its radius changing when its is 6m?

• A. 2.50m/s
• B. 2.00 m/s
• C. 0.25 m/s
• D. 0.20 m/s