Which of the following quadratic equations has \(-\frac{1}{2}\) and \(\frac{3}{4}\) as its roots?
- A. 8x2 + 11x - 3 = 0
- B. 8x2 -11x – 3 = 0
- C. 8x2 + 2x -3 = 0
- D. 8x2 - 2x – 3 = 0
The values of x when y = 3 are approximately
- A. -4.7 and 1.4
- B. -4.6 and 1.5
- C. -3.6 and 0.4
- D. -3.6 and 1.5
Use the graph to answer the Question below
What are the roots of the equation x2 + 3x – 4 = 0?
- A. 1, 4
- B. -1, -4
- C. -1, 4
- D. -4, 1
The diagram is a circle centre O. Find the value of x
- A. 30o
- B. 50o
- C. 61o
- D. 78o
- E. 65.5\(^{\circ}\)
Simplify \(\frac{2}{a+b}-\frac{1}{a-b}\)
- A. \(\frac{3}{a+b}\)
- B. \(\frac{a-3b}{a^2-b^2}\)
- C. \(\frac{3a-b}{a^2 – b^2}\)
- D. \(\frac{a-3b}{a^2+b^2}\)
A boy walks 800m in 20 minutes. Calculate his average speed in km per hour
- A. 2.4
- B. 4
- C. 16
- D. 24
Find the range of values of x for which\(\frac{x+2}{4}-\frac{x+1}{3}>\frac{1}{2}\)
- A. x > 4
- B. x > -4
- C. x < 4
- D. x < -4
The table above gives the marks scored by a group of students in a test Use the table to answer the Question below
What is the probability of selecting a student from the group that scored 2 or 3?
- A. \(\frac{1}{11}\)
- B. \(\frac{5}{22}\)
- C. \(\frac{7}{22}\)
- D. \(\frac{6}{11}\)
The table above gives the marks scored by a group of students in a test Use the table to answer the Question below
What is the median mark?
- A. 1
- B. 2
- C. 3
- D. 4
In the diagram, PQRW is a circle. Line P, V and QR are produced to meet at M, where ∠WMR = 30o and |WM| = |MR| Find the value of x
- A. 10o
- B. 25o
- C. 35o
- D. 60o
Given that \(\sqrt{128}+\sqrt{18}-\sqrt{K} = 7\sqrt{2}\), find K,
- A. 8
- B. 16
- C. 32
- D. 48
Find the average of the first four prime numbers greater than10
- A. 20
- B. 19
- C. 17
- D. 15
In the diagram, O is the centre of the circle where OS//QR and ∠SOR = 35º. Find the value of ∠QPR.
- A. 35o
- B. 45o
- C. 55o
- D. 70o
A point X is on the bearing 342o from a point Y. What is the bearing of Y from X?
- A. 342o
- B. 252o
- C. 198o
- D. 162o
In the diagram, KS is a tangent to the circle centre O at R and ∠ROQ = 80º. Find ∠QRS.
- A. 90o
- B. 80o
- C. 50o
- D. 40o
Given that ξ = {1, 2, 3, . . . . . . ,10}, P= (x : x is prime) and Q = {y : y is odd}, find Pl∩Q
- A. {2}
- B. {1,9}
- C. {315.7}
- D. {4, 6, 8, 10}
Find the sum of the roots of the equation 2x2 + 3x – 9 = 0
- A. -18
- B. -6
- C. \(-\frac{9}{2}\)
- D. \(-\frac{3}{2}\)
What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take \(\pi = \frac{22}{7}\))
- A. 38.5cm3
- B. 77cm3
- C. 269.5cm3
- D. 1078cm3
Factorise 27p2x2 – 48y2.
- A. 9(3px - 4y)2
- B. 3(3px - 4y)(3px - 4y)
- C. 9(px - 4y)(3p x + 4y)
- D. 3(3px -4y)(3px +4y)
In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
- A. 5.6 cm
- B. 11.2cm
- C. 11.4cm
- D. 28.0cm