Use the graph above to find the values of p and q if px + qy \(\geq\) 4
- A. p = 2, q = -1
- B. p = -1, q = 2
- C. p = 2, q = 2
- D. p = 1, q = 2
| No. of days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | x | 50 | 40 | 2x | 60 |
The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term
- A. 210
- B. 40
- C. 120
- D. 160
The triangle PQR above is
- A. an obtuse-angled triangle
- B. a scalene triangle
- C. an isosceles triangle
- D. an equilateral triangle
In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
- A. 180 πcm3
- B. 162 πcm3
- C. 216 πcm3
- D. 198 πcm3
In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R
- A. 21/25πR2
- B. 9/25πR2
- C. 21/23πR2
- D. 5/9πR2
In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = 72o, find x
- A. 36o
- B. 18o
- C. 72o
- D. 24o
The venn diagram above shows the numbers of students offering music and history in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?
- A. 0.38
- B. 0.13
- C. 0.50
- D. 0.25
In the diagram above , XZ is the diameter of the circle XZW, with center O and radius 15/2 cm. If XY = 12 cm, find the area of the triangle XYZ
- A. 54 cm2
- B. 45 cm2
- C. 27 cm2
- D. 75 cm2
Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.
- A. 13/6
- B. 5/2
- C. 7/6
- D. 7/3
The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.
- A. 105
- B. 100
- C. 95
- D. 110
How many three-digit numbers can be formed from 32564 without repeating any of the digits?
- A. 120
- B. 10
- C. 20
- D. 60
The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respectively as 2, 5, 3, 11, and 9. What is the angle sector for cassava in a pie chart?
- A. 108°
- B. 180°
- C. 36°
- D. 60°
The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?
- A. 2/3
- B. 4/9
- C. 8/27
- D. 1/27
The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is
- A. 10
- B. 11
- C. 6
- D. 8
Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12
- A. 3
- B. 4
- C. 1
- D. 2
The locus of a point P which is equidistant from two given points S and T is
- A. the perpendicular bisector of ST
- B. the angle bisector of PS and ST
- C. a perpendicular to ST
- D. a line parallel to ST
Find the value of a if the line 2y – ax + 4 = 0 is perpendicular to the line y + (x/4) – 7 = 0
- A. -4
- B. 4
- C. 8
- D. -8
A solid hemisphere has a radius of 7 cm. Find the total surface area.
- A. 400 cm2
- B. 462 cm2
- C. 66 cm2
- D. 308 cm2
A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.
- A. 9.0 m
- B. 12. 0 m
- C. 8.8 m
- D. 10.4 m
Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x – 8
- A. (2, 0)
- B. (1, -2)
- C. (-1, -2)
- D. (1, 2)
The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
- A. 12
- B. 20
- C. 40
- D. 10