Simplify 213\(_4\) x 23\(_4\)
- A. 103114
- B. 103214
- C. 122314
- D. 132114
Evaluate \(log_{\sqrt{2}}4 +l og_{\frac{1}{2}}16 – log_{4}32\)
- A. -5.5
- B. -2.5
- C. 2.5
- D. 5.5
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. 108ยฐ
- B. 180ยฐ
- C. 36ยฐ
- D. 60ยฐ
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 45ยฐ. 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
A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.
- A. 304ฯ/3 cm3
- B. 144ฯ cm3
- C. 128ฯ cm3
- D. 72ฯ cm3
Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7
- A. y = 3
- B. x = 3
- C. x = 4
- D. y = 4
If tan ฮธ = 4/3, calculate sin\(^2\) ฮธ – cos\(^2\) ฮธ.
- A. 16/25
- B. 24/25
- C. 7/25
- D. 9/25
A chord of a circle subtends an angle of 120ยฐ degrees at the centre of a circle of diameter 4โ3 cm. Calculate the area of the major sector.
- A. 4ฯ cm2
- B. 32 ฯ cm2
- C. 16 ฯ cm2
- D. 8 ฯ cm2
If x varies directly as โn and x = 9 when n = 9, find x when n = (17/9)
- A. 4
- B. 27
- C. โ3
- D. โ17
The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + … is
- A. 11/3
- B. 10/3
- C. 5/2
- D. 3/2