The bar chart shows the scores of some students in a test. If one students is selected at random, find the probability that he/she scored at most 2 marks

• A. \(\frac{11}{18}\)
• B. \(\frac{11}{20}\)
• C. \(\frac{7}{22}\)
• D. \(\frac{5}{19}\)

In the diagram, PQRS is a parallelogram and ∠QRT = 30°. Find x

• A. 95°
• B. 100°
• C. 120°
• D. 150°

A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the value of q.

• A. - 9
• B. - 6
• C. 15
• D. 21

If^dy/_dx = x + cos x, find y

• A. x² - sin x + c
• B. x² + sin x + c
• C.^x2/₂ - sin x + c
• D.^x2/₂ + sin x + c

In the diagram, the two circles have a common centre O. If the area of the larger circle is 100π and that of the smaller circle is 49π, find x

• A. 2
• B. 3
• C. 4
• D. 6

If the class average of a 100 student class is 50% and 25%of the students scored 70%. How many scored below 75%?

• A. 60
• B. 65
• C. 70
• D. 75

The graph of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 - 3x + 2 = 0. What is the equation of PQ?

• A. y = 3x - 2
• B. y = 3x + 2
• C. y = 3x - 4
• D. y = 3x + 4

The mean of 2, 5, (x + 2), 7 and 9 is 6. Find the median.

• A. 5.5
• B. 6.0
• C. 6.5
• D. 7.0

Which of the following is the semi- interquartile range of a distribution?

• A. \(Mode - Median\)
• B. \(\text{Highest score - Lowest score}\)
• C. \(\frac{1}{2}(\text{Upper quartile - Median})\)
• D. \(\frac{1}{2}(\text{Upper quartile - Lower quartile})\)

(a) A jogger is training for 15km charity race. He starts with a run of 500 metres, then he increases the distance he runs daily by 250 metres.

(i) How many days will it take the jogger to reach a distance of 15km in training?

(ii) Calculate the total distance he would have run in the training.

(b) The second term of a Geometric Progression (GP) is -3. If its sum to infinity is 25/2, find its common ratios.