If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\) , what is P\(^-1\)

• A. \(\begin{pmatrix} -{\frac{1}{5}} & -{\frac{3}{5}} \\ -{\frac{1}{5}} & -{\frac{2}{5}} \end{pmatrix}\)
• B. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ {\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
• C. \(\begin{pmatrix} -{\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
• D. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)

Make f the subject of the relation \(v = u + ft\)

• A. \(\frac{v-u}{t}\)
• B. \(\frac{u-v}{t}\)
• C. \(t(v+u\)
• D. \(\frac{v}{u}-t\)

The equivalent of (10110.011)₂ in base 10 is?

• A. 26.325
• B. 24.372
• C. 42.443
• D. 22.375

If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6

• A. 30
• B. 37
• C. 39
• D. 41

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

• A. 3000
• B. 1000
• C. 2000
• D. 4000

A bag contains 4 white marbles and 3 red marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.

• A. \(\frac{9}{11}\)
• B. \(\frac{18}{77}\)
• C. \(\frac{1}{2}\)
• D. \(\frac{11}{12}\)

Differentiate sin x - x cos x

• A. x cos x
• B. x sin x
• C. -x cos x
• D. -x sin x

The equation of a circle is \(x^{2} + y^{2} - 8x + 9y + 15 = 0\). Find its radius.

• A. 5
• B. \(\frac{1}{2}\sqrt{15}\)
• C. \(\frac{1}{2}\sqrt{85}\)
• D. \(\sqrt{85}\)

Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the

• A. perpendicular bisector of PQ
• B. perpendicular bisector of ST
• C. bisector of the angles between lines PQ and ST
• D. bisector of the angles between lines PT and QS

In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS

• A. 20°
• B. 25°
• C. 30°
• D. 35°