In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and โ RSP = 74o. Find โ QPS
- A. 32o
- B. 37o
- C. 48o
- D. 53o
- E. 74o
The diagram above shows a circle PQRS in which โ PRQ = 54o and โ SPQ = 97o. Find โ PQS
- A. 61o
- B. 51o
- C. 43o
- D. 39o
- E. 29o
In the diagram above, PQ is the tangent to the circle RST at T.|ST| = ST and โ RTQ = 68o. Find โ PTS
- A. 68o
- B. 62o
- C. 61o
- D. 56o
- E. 34o
Which of the following is not a property of all parallelogram?
- A. the diagonal bisects each other
- B. Each diagonal bisects the area
- C. the diagonal cut at right angles
- D. The opposite sides are equal
- E. The opposite angles are equal
The sum of the angles of regular polygon is 2520o. How many sides does the polygon have?
- A. 20
- B. 18
- C. 17
- D. 16
- E. 15
IF the exterior angles of a quadilateral are yo, (2y + 5)o , (y + 15)o and (3y – 10)o, find yo
- A. 61.43
- B. 60
- C. 52.86
- D. 51.43
- E. 50
In the diagram, PQ||RS and angles are as shown. Find x
- A. 145o
- B. 150o
- C. 155o
- D. 160o
- E. 165o
In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|
- A. 7cm
- B. 8cm
- C. 8 2/3cm
- D. 10cm
- E. 10 2/3cm
Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.
- A. 125:64
- B. 25:16
- C. 2:1
- D. 4:3
- E. 5:4
In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.
- A. 96cm2
- B. 108cm2
- C. 135cm2
- D. 162cm2
- E. 216cm2
A circle has radius x cm. What is the area of a sector of the circle with angle 135ยฐ, leaving the answer in terms of x and ฯ?
- A. \( \frac{\pi x^2}{8} \)
- B. \( \frac{3\pi x^2}{8} \)
- C. \( \frac{5\pi x^2}{8} \)
- D. \( \frac{3\pi x}{8} \)
Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75ยฐ at the centre of the circle. [Take ฯ = 22/7].
- A. 2.3cm
- B. 4.6cm
- C. 8cm
- D. 16cm
- E. 110cm
Two ships on the equator are on longitudes 45oW and 45oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and ฯ = 22/7)
- A. 15,000km
- B. 10,000km
- C. 6,400km
- D. 5,000km
- E. 3,200km
A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)
- A. 2cm
- B. 4cm
- C. 5cm
- D. 8cm
- E. 10cm
The angle subtended at the centre by a chord of a circle radius 6cm is 120ยฐ. Find the length of the chord.
- A. 3cm
- B. 6cm
- C. \(4\sqrt{2}\) cm
- D. \(3\sqrt{3}\) cm
- E. \(6\sqrt{3}\) cm
Factorise: 6x\(^2\) + 7xy – 5y\(^2\)
- A. (6x + 5y)(x - y)
- B. (2x + 5y)(3x - y)
- C. (3x + y)(2x - 5y)
- D. (3x + 5y)(2x - y)
- E. (2x + y)(3x - 5y)
Which of the following is a root of the equation x\(^2\) +6x = 0?
- A. 0
- B. 1
- C. 2
- D. 3
- E. It does not have any root.
Find the quadratic equation whose roots are 3 and \(\frac{2}{3}\).
- A. x2 - 11 / 3x + 6 = 0
- B. x2 - 11x + 6 = O
- C. 3x2 - 11x + 2 = O
- D. 3X2 - 11x โ 2 = 0
- E. 3x2 - 11x + 6 = 0
Which of the following is not a factors of 2p\(^2\) – 2?
- A. 2
- B. p - 1
- C. p + 1
- D. 2p - 2
- E. 2p + 1
Which of the following equations can be solved by the points of intersection P and Q of the curve and the line PQ?
- A. x2 - 2 = 0
- B. x2 - 4 = 0
- C. x2 + 6 = 0
- D. X2 - X โ 2 = 0
- E. x2 - x + 4 = 0