If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.
- A. 1, 2
- B. 2, 2
- C. 2, 3
- D. 3, 2
- E. 3,3
The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.
- A. 6.1
- B. 4.8
- C. 2.9
- D. 2.1
- E. 1.9
2 bags of sugar at Nx per bag are mixed with 3 bags of sugar at Ny per bag. What is the cost in N of the mixture per bag?
- A. \(\frac{(2x + 3y)}{5}\)
- B. \(\frac{(x + y)}{2}\)
- C. \(\frac{x}{2} +\frac{y}{3}\)
- D. \(\frac{(x + y)}{5}\)
- E. \(\frac{(3x + 2y)}{5}\)
The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?
- A. 18
- B. 23
- C. 25
- D. 36
- E. 70
A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?
- A. 262.5
- B. 945
- C. 970
- D. 995
- E. 1822.9
The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes
- A. 1 : 04
- B. 3 : 07
- C. 9 : 49
- D. 0.086111111
- E. 27 : 343
Simplify the expression: \(Log_{4}16\) + \(Log_{3}27\) + \(Log_{8}4096\)
- A. -9
- B. \(\frac{1}{3}\)
- C. \(\frac{1}{9}\)
- D. 3
- E. 9
Given that x2 + y2 + k = 60 and x = \(\sqrt{10}\) when y = 4, find the value of k.
- A. 56
- B. 34
- C. 32
- D. -34
- E. -56
The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone
- A. 7cm
- B. 22cm
- C. 28cm
- D. 49cm
- E. 154cm
Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°
- A. 271.5cm2
- B. 135.8cm2
- C. 96.0cm2
- D. 48.0cm2
- E. 33.9cm2
Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number
- A. 2
- B. 3
- C. 4
- D. 5
- E. 6
x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?
- A. 2.5
- B. 5
- C. 6.25
- D. 6.52
- E. 7.5
The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test?
- A. \(\frac{3}{5}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{4}{15}\)
- D. \(\frac{1}{5}\)
- E. \(\frac{2}{15}\)
Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
- A. 9.60m
- B. 6.06m
- C. 2.54m
- D. 2.53m
- E. 2.00m
A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))
- A. 14.1cm2
- B. 95.5cm2
- C. 190.9cm2
- D. 381.9cm2
- E. 763.7cm2
Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.
- A. 51
- B. 48
- C. 30
- D. 25
- E. 18