P, Q and R are subsets of the universal set U. The Venn diagram showing the relationship \((P \cap Q) \cup R\) is
- A. 1
- B. 2
- C. 3
- D. 4
Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)
- A. -2
- B. 2
- C. 1
- D. -1
Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)
- A. \(2x^{2} - \frac{1}{x} + k\)
- B. \(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)
- C. \(-\frac{x^{2}}{2} - \frac{1}{x} + k\)
- D. \(x^{2} - \frac{1}{x} + k\)
If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).
- A. \(1\frac{1}{3}\)
- B. \(1\frac{2}{3}\)
- C. \(1\frac{3}{5}\)
- D. \(1\frac{2}{5}\)
In triangle PQR, q = 8 cm, r = 6 cm and cos P = \(\frac{1}{12}\). Calculate the value of p.
- A. \(\sqrt{108}\) cm
- B. 9 cm
- C. \(\sqrt{92}\) cm
- D. 10 cm
Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)
- A. 8y + 14x + 13 = 0
- B. 8y - 14x + 13 = 0
- C. 8y - 14x - 13 = 0
- D. 8y + 14x - 13 = 0
If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.
- A. (8,6)
- B. (5,6)
- C. (0,4)
- D. (6,5)
The locus of the points which is equidistant from the line PQ forms a
- A. perpendicular line to PQ
- B. circle centre P
- C. circle centre Q
- D. pair of parallel lines to PQ
A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.
- A. 32\(\pi\) cm\(^2\)
- B. 4\(\pi\) cm\(^2\)
- C. 8\(\pi\) cm\(^2\)
- D. 16\(\pi\) cm\(^2\)
Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.
- A. \(8\sqrt{3}\) cm
- B. 4 cm
- C. 8 cm
- D. \(8\sqrt{2}\) cm
A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?
- A. 720
- B. 336
- C. 420
- D. 576
If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.
- A. 66°
- B. 12°
- C. 30°
- D. 42°
The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.
- A. 30
- B. 11
- C. 50
- D. 20
The bar chart above shows the allotment of time(in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?
- A. 460mins
- B. 720mins
- C. 960mins
- D. 200mins
In the diagram given, find the value of x.
- A. 30o
- B. 40o
- C. 45o
- D. 15o
The graph above is correctly represented by
- A. y = x2 - x - 2
- B. y = x2 - 3x + 2
- C. y = x2 - x - 1
- D. y = x2 + x - 2
A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.
- A. \(\frac{3}{8}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{7}{24}\)
- D. \(\frac{2}{3}\)
What is the probability that an integer x \((1 \leq x \leq 25)\) chosen at random is divisible by both 2 and 3?
- A. \(\frac{1}{25}\)
- B. \(\frac{1}{5}\)
- C. \(\frac{4}{25}\)
- D. \(\frac{3}{4}\)
In how many ways can 3 seats be occupied if 5 people are willing to sit?
- A. 60
- B. 20
- C. 5
- D. 120
In how many ways can a student select 2 subjects from 5 subjects?
- A. \(\frac{5!}{3!}\)
- B. \(\frac{5!}{2!2!}\)
- C. \(\frac{5!}{2!3!}\)
- D. \(\frac{5!}{2!}\)