Find the curved surface area of the frustrum in the figure
- A. 16\(\pi \sqrt{10}\)cm2
- B. 20\(\pi \sqrt{10}\)cm2
- C. 24\(\pi \sqrt{10}\)cm2
- D. 36\(\pi \sqrt{10}\)cm2
In the figure, PQR is a semicircle. Calculate the area of the shaded region
- A. 125\(\frac{2}{7}\)2
- B. 149\(\frac{2}{7}\)cm2
- C. 234\(\frac{1}{7}\)cm2
- D. 267\(\frac{1}{2}\)cm2
In the figure, YXZ = 30o, XYZ = 105o and XY = 8cm. Calculate YZ
- A. 16\(\sqrt{2}\)cm
- B. 8\(\sqrt{2}\)cm
- C. 4\(\sqrt{2}\)cm
- D. 22cm
In triangles XYZ and XQP, XP = 4cm, XQ = 5cm and PQ = QY = 3cm. Find ZY
- A. 8cm
- B. 6cm
- C. 4cm
- D. 3cm
In the figure, PS = QS = RS and QSR – 100o, find QPR
- A. 40o
- B. 50o
- C. 80o
- D. 100o
What is the equation of the quadratic function represented by the graph?
- A. y = x2 + x - 2
- B. y = -x2 - x + 2
- C. y = x2 - x - 2
- D. y = -x2 - x + 2
Find the probability that a number selected at random from 41 to 56 is a multiply of 9
- A. \(\frac{1}{8}\)
- B. \(\frac{2}{15}\)
- C. \(\frac{3}{16}\)
- D. \(\frac{7}{8}\)
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
- A. \(\frac{2}{3}\)
- B. \(\frac{2}{15}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{1}{4}\)
Below are the scores of a group of students in a test
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of students} & 1 & 4 & 5 & 6 & x & 2\end{array}\)
If the average scores is 3.5, find the value of x
- A. 1
- B. 2
- C. 3
- D. 4
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
- A. 3
- B. 16
- C. 18
- D. 38
4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16
- A. 48o
- B. 84o
- C. 92o
- D. 276o
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?
- A. perpendicular bisector of the two lines
- B. angle bisector of the two lines
- C. bisector of the two lines
- D. line parallel to the two lines
If the heights of two circular cylinders are in the ratio 2 : 3 and their base radii are in the ratio 9:8, What is the ratio of their volumes?
- A. 27 : 32
- B. 27 : 23
- C. 23 : 32
- D. 21 : 27
A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.
- A. 153\(\pi\)cm3
- B. 207\(\pi\)cm3
- C. 15 300\(\pi\)cm3
- D. 20 700\(\pi\)cm3
If Cos \(\theta\) = \(\frac{12}{13}\). Find \(\theta\) + cos2\(\theta\)
- A. \(\frac{169}{25}\)
- B. \(\frac{25}{169}\)
- C. \(\frac{169}{144}\)
- D. \(\frac{144}{169}\)
Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
- A. 9
- B. 8
- C. 7
- D. 5
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
- A. 8cm
- B. 5cm
- C. 4cm
- D. 3cm
The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
- A. 8.8cm
- B. 25.4cm
- C. 25.6cm
- D. 29.8cm
At what value of x is the function x\(^2\) + x + 1 minimum?
- A. -1
- B. \(-\frac{1}{2}\)
- C. \(\frac{1}{2}\)
- D. 1
Find the sum of the first 18 terms of the progression 3, 6, 12……
- A. 3(217 - 1)
- B. 3(218 - 1)
- C. 3(218 + 1)
- D. 3(217 - 1)
Find the sum of the first twenty terms of the progression log a, log a2, log a3…..
- A. log a20
- B. log a21
- C. log a200
- D. log a210