\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\) is (-4,-2) find the coordinates of Y.
- A. (-6,-2)
- B. (0,8)
- C. (4,10)
- D. (0,4)
| Height(cm) | 160 | 161 | 162 | 163 | 164 |
165 |
| No. of players | 4 | 6 | 3 | 7 | 8 | 9 |
the table shows the height of 37 players of a basketball team calculates correct to one decimal place the mean height of the players.
- A. 163.0
- B. 162.0
- C. 160.0
- D. 165.0
In the diagram, line \(\overline{EC}\) is a diameter of the circle ABCDE.
If angle ABC equals 158°, find ∠ADE
- A. 112
- B. 90
- C. 68
- D. 22
Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx + 2cosx)
- A. 2\(\frac{11}{20}\)
- B. \(\frac{11}{20}\)
- C. 2\(\frac{7}{20}\)
- D. \(\frac{1}{20}\)
A cone has a base radius of 8cm and height 11cm. calculate , correct to 2d.p, the curved surface area
- A. 341.98cm\(^2\)
- B. 276.57cm\(^2\)
- C. 201.14cm\(^2\)
- D. 477.71cm\(^2\)
In the diagram, PQRS is a circle. find the value of x.
- A. 50°
- B. 30°
- C. 80°
- D. 100°
find the first quartile of 7,8,7,9,11,8,7,9,6 and 8.
- A. 8.5
- B. 7.0
- C. 7.5
- D. 8.0
In the diagram, \(\overline{MP}\) is a tangent to the circle NQR, ∠NQR, ∠PNQ = 64 and | \(\overline{RQ}\) | = | \(\overline{RN}\) |. Find the angle market t.
- A. 130°
- B. 115°
- C. 58°
- D. 68°
A cyclist moved at a speed of Xkm/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours.
If the total distance covered is 36 km, calculate his initials speed.
- A. 12km/h
- B. 3km/h
- C. 4km/h
- D. 6km/h
Find, correct to two decimal, the mean of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\).
- A. 3.71
- B. 3.70
- C. 3.69
- D. 3.72
A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.
π =\(\frac{22}{7}\)
- A. 84cm\(^2\)
- B. 80cm\(^2\)
- C. 30cm\(^2\)
- D. 94cm\(^2\)
In the diagram, O is the centre of the circle PQRS, ∠PQR = 72° and OR is parallel to PS. Find ∠ OPS.
- A. 18°
- B. 108°
- C. 54°
- D. 36°
From a point T, a man moves 12km due west and then moves 12km due south to another point Q. Calculate the bearing of T from Q.
- A. 225°
- B. 315°
- C. 045°
- D. 135°
Which of the following is not an exterior angle of a regular polygon?
- A. 66°
- B. 72°
- C. 24°
- D. 15°
A solid brass cube is melted and recast as a solid cone of height h and base radius r. If the height of the cube is h, find r in terms of h.
- A. r = h
- B. r = √\(\frac{3h^2}{π}\)
- C. r = πh
- D. r = h √\(\frac{3}{h}\)
In the diagram, △XYZ is produced to T. if |XY| = |ZY| and ∠XYT = 40°, find ∠XZT
- A. 110°
- B. 130°
- C. 140°
- D. 180°
The diagonal of a rhombus are 12cm and 5cm. calculate its perimeter
- A. 26cm
- B. 24cm
- C. 17cm
- D. 34cm
If \(\frac{2}{x-3}\) – \(\frac{3}{x-2}\) = \(\frac{p}{(x-3)(x -2)}\), find p.
- A. 5 - x
- B. - (x + 5)
- C. 13 - x
- D. - (5x - 13)
if tanθ = \(frac{3}{4}\), 180° < θ < 270°, find the value of cosθ.
- A. \(\frac{4}{5}\)
- B. \(\frac{3}{5}\)
- C. -\(\frac{4}{5}\)
- D. -\(\frac{3}{5}\)
Find The quadratic Equation Whose Roots Are -2q And 5q.
- A. 3x\(^2\) + 3qx - 10q\(^2\)
- B. x\(^2\) + 3qx + 10q\(^2\)
- C. x\(^2\) - 3qx + 10q\(^2\)
- D. x\(^2\) - 3qx - 10q\(^2\)