In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY
- A. 34o
- B. 13.36o
- C. 44o
- D. 46o
Which of the following is represented by the above sketch?
- A. y = x2 + x - 6
- B. y = x2 - x - 6
- C. y = x2 - x + 6
- D. y = x2 + x + 6
If (-3, -4) is a point on the line y = mx + 2 find the value of m.
- A. -2
- B. \(\frac{7}{4}\)
- C. 2
- D. \(\frac{8}{3}\)
Find the nth term of the sequence 4, 10, 16 ,…
- A. 2(3n- 1)
- B. 2(2 + 3 n-1)
- C. 2 n + 2
- D. 2(3n+2)
From the diagram, find the bearing of Q from P.
- A. 236o
- B. 214o
- C. 146o
- D. 124o
If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?
- A. 1
- B. \(\frac{1}{2}\)
- C. \(-\frac{}{}\)
- D. -1
The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?
- A. 2
- B. 5
- C. 7
- D. 9
Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl
- A. 18km
- B. 13.4km
- C. 13km
- D. 10.4km
If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.
- A. 6
- B. 5
- C. 4
- D. -5
The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse
- A. 4
- B. 5
- C. 13
- D. 17
The diagram is the graph of \(y = 6 + x – x^2\). The graph intercepts the x-axis at P and R and the y-axis at Q.
When \(y = 3\frac{1}{3}\), what is the positive value of x?
- A. \( 2\frac{1}{2}\)
- B. \( 2\frac{1}{5}\)
- C. \( 1\frac{1}{5}\)
- D. zero
The diagram is the graph of \(y = 6 + x – x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.
What is the value of y at Q?
- A. \(6\frac{1}{3}\)
- B. 6
- C. 3
- D. zero
If \(M5_{ten} = 1001011_{two}\) find the value of M
- A. 5
- B. 6
- C. 7
- D. 8
Find the value of x in 0.5x + 2.6 = 5x + 0.35
- A. 0.5
- B. 2
- C. 2.6
- D. 5
Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)
- A. \(1\frac{3}{4}\)
- B. \(3\frac{1}{2}\)
- C. \(4\frac{1}{2}\)
- D. \(8\frac{1}{2}\)
In the diagram above, ∠PQU=36°, ∠QRT = 29°, PQ||RT. Find ∠PQR
- A. 94o
- B. 65o
- C. 61o
- D. 54o
The height of a right circular cone is 4cm. The radius of its base is 3cm. Find the curved surface area
- A. \(9\pi cm^2\)
- B. \(15\pi cm^2\)
- C. \(16\pi cm^2\)
- D. \(20\pi cm^2\)
A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is \(2\sqrt{3}\) cm. Calculate the volume of the pyramid
- A. \(5\frac{1}{3}cm^3\)
- B. \(10\frac{2}{3}cm^3\)
- C. \(16cm^3\)
- D. \(32cm^3\)
In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.
- A. 8m
- B. 9m
- C. 10m
- D. 13m