Find the distance between the points (2, 5) and (5, 9).

• A. 4 units
• B. 5 units
• C. 12 units
• D. 14 units

If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?

• A. 1/√2 cm²
• B. 1 cm²
• C. √2 cm²
• D. 2√2 cm²

Calculate, correct to one decimal place, the length of the line joining points X(3, 5) and Y(5, 1).

• A. 4.0
• B. 4.2
• C. 4.5
• D. 5.0

\(Differentiate f (x) = \frac{1}{(1 - x^2)^5}\) with respect to \(x\).

• A. \(\frac{-5x}{(1-x^2)^6}\)
• B. \(\frac{-10x}{(1-x^2)^6}\)
• C. \(\frac{5x}{(1-x^2)^6}\)
• D. \(\frac{10x}{(1-x^2)^6}\)

A ladder leans against a vertical wall at an angle 60° to the wall, if the foot of the ladder is 5 metres away from the wall, calculate the length of the ladder.

• A. 5√3m/3
• B. 5m
• C. 10√3m/3
• D. 5√3m

Express \(3x^{2} - 6x + 10\) in the form \(a(x - b)^{2} + c\), where a, b and c are integers. Hence state the minimum value of \(3x^{2} - 6x + 10\) and the value of x for which it occurs.

If r denotes the correlation coefficient between two variables, which of the following is always true?

• A. \(0< r \leq 1\)
• B. \(-1 \leq r< 1\)
• C. \(-1< r \leq 0\)
• D. \(-1 \leq r \leq 1\)

At the baseball game, Henry was sitting in seat 253. Marla was sitting to the right of Henry in seat 254. In the seat to the left of Henry was George. Inez was sitting to the left of George. Which seat is Inez sitting in?

• A. 251
• B. 254
• C. 255
• D. 256

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1⁷/₉

• A. 20¹/₄
• B. 27
• C. 2¹/₄
• D. 36

Differentiate (2x+5)²(x−4) with respect to x.

• A. 4(2x+5)(x-4)
• B. 4(2x+5)(4x-3)
• C. (2x+5)(2x-13)
• D. (2x+5)(6x-11)