In the diagram, /MN/, /OP/, /QOP/ = 125o. What is the size of < MQR?
- A. 11o
- B. 120o
- C. 130o
- D. 160o
The histogram shows the age distribution of members of a club. What is their modal age?
- A. 44.5
- B. 42.5
- C. 41.5
- D. 40.5
The histogram shows the age distribution of members of a club. How many members are in the club?
- A. 52
- B. 50
- C. 48
- D. 40
Find the size of the angle marked x in the diagram.
- A. 108o
- B. 112o
- C. 128o
- D. 142o
In the diagram, PO and OR are radii, |PQ| = |QR| and reflex < PQR is 240o. Calculate the value x
- A. 60o
- B. 55o
- C. 50o
- D. 45o
The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?
- A. \(\bigtriangleup\) PQK
- B. \(\bigtriangleup\) PKS
- C. \(\bigtriangleup\) SKR
- D. \(\bigtriangleup\) PSR
a boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window
- A. 9o
- B. 10o
- C. 11o
- D. 12o
If 27x = 9y. Find the value of \(\frac{x}{y}\)
- A. \(\frac{1}{3}\)
- B. \(\frac{2}{3}\)
- C. 1\(\frac{1}{2}\)
- D. 3
in a quiz competition, a student answers n questions correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether, how many questions did he answer correctly?
- A. 18
- B. 15
- C. 12
- D. 10
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
- A. 11cm
- B. 18cm
- C. 21cm
- D. 34cm
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
- A. 11cm
- B. 18cm
- C. 21cm
- D. 34cm
A rectangular garden measures 18.6m by 12.5m. Calculate, correct to three significant figures, the area of the garden
- A. 230m2
- B. 231m2
- C. 232m2
- D. 233m2
The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect
- A. on one of the vertices
- B. at a midpoint of a side
- C. inside the triangle
- D. outside the triangle
Find the smaller value of x that satisfies the equation x\(^2\) + 7x + 10 = 0
- A. -5
- B. -2
- C. 2
- D. 5
Simplify 1\(\frac{3}{4} – (2 \frac{1}{3} + 4)\)
- A. 3\(\frac{5}{12}\)
- B. 2\(\frac{7}{12}\)
- C. -4 \(\frac{7}{12}\)
- D. -5 \(\frac{7}{12}\)
What must be added to (2x – 3y) to get (x – 2y)?
- A. 5y - x
- B. y - x
- C. x - 5x
- D. x - y
Given that n(p) = 19, m(P \(\cup\) Q) = 38 and n(P \(\cap\) Q) = 7, Find n(C)
- A. 26
- B. 31
- C. 36
- D. 50
G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
- A. 15
- B. 25
- C. 75
- D. 225
If \(\sqrt{72} + \sqrt{32} – 3 \sqrt{18} = x \sqrt{8}\), Find the value of x
- A. 1
- B. \(\frac{3}{4}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{1}{4}\)
Simplify \(\frac{m}{n} + \frac{(m – 1)}{5n} = \frac{(m – 2)}{10n}\) where n \(\neq\) 0
- A. \(\frac{m - 3}{10n}\)
- B. \(\frac{11m}{10n}\)
- C. \(\frac{m + 1}{10n}\)
- D. \(\frac{11m + 4}{10n}\)
The graph represents the relation y = xo2 – 3x – 3. Find the value of x for which x2 – 3x = 7
- A. -1.55, 4.44
- B. 1.55, -4.55
- C. -1.55, -4.55
- D. 1.55, 4.55