This is suitable for prospective candidate of 2018 Unified Tertiary Matriculation Examination (UTME) Computer Based Test (CBT). This tool will prepare candidates with a time based test in order to equip candidates with the right frame of mind going into the exams. This test comprises of 50 questions with only 35mins allotted time.
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Answered
Review
Question 1 of 50
1. Question
1 points
Evaluate 21.05347 – 1.6324 x 0.43, to 3 decimal places.
Question 2 of 50
2. Question
1 points
Question 3 of 50
3. Question
1 points
A car dealer bought a second-hand car for #250,000.00 and spent #70,000.00 refurbishing it. He then sold the car for #400,000.00. What is the percentage gain?
Question 4 of 50
4. Question
1 points
Find the principal which amounts to #5,500 at simple interest in 5 years at 2% per annum.
Question 5 of 50
5. Question
1 points
Question 6 of 50
6. Question
1 points
The identity element with respect to the multiplication shown in the table above is
Question 7 of 50
7. Question
1 points
The sixth term of an arithmetical progression is half of its twelfth term. The first term is equal to
Question 8 of 50
8. Question
1 points
A sector of a circle of radius 7.2cm which subtends an angle of 3000 at the center is used to form a cone. What is the radius of the base of the cone?
Question 9 of 50
9. Question
1 points
Question 10 of 50
10. Question
1 points
Find the value of p if the line joining (p, 4) and (6, -2) is perpendicular to the line joining (2, p) and (-1, 3).
Question 11 of 50
11. Question
1 points
Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
Question 12 of 50
12. Question
1 points
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
Question 13 of 50
13. Question
1 points
A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m?
Question 14 of 50
14. Question
1 points
Find the number o 0f ways of selecting 8 subjects from 12 subjects for an examination.
Question 15 of 50
15. Question
1 points
In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?
Question 16 of 50
16. Question
1 points
Question 17 of 50
17. Question
1 points
A trader bought goats for N4,000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?
Question 18 of 50
18. Question
1 points
Simplify 52.4 – 5.7 – 3.45 – 1.75
Question 19 of 50
19. Question
1 points
The range of the data k + 2, k – 3, k + 4, k – 2, k, k – 5, k + 3, k – 1 and k + 6 is
Question 20 of 50
20. Question
1 points
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.
Question 21 of 50
21. Question
1 points
Find the mean of the data 7, -3, 4, -2, 5, -9, 4, 8, -6, 12
Question 22 of 50
22. Question
1 points
The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?
Question 23 of 50
23. Question
1 points
How many three-digit numbers can be formed from 32564 without any digit being repeated?
Question 24 of 50
24. Question
1 points
If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.
Question 25 of 50
25. Question
1 points
The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?
Question 26 of 50
26. Question
1 points
The binary operation * is defined on the set of integers p and q by p * q = pq + p + q. Find 2 * (3 * 4).
Question 27 of 50
27. Question
1 points
The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
Question 28 of 50
28. Question
1 points
Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7.
Question 29 of 50
29. Question
1 points
In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
Question 30 of 50
30. Question
1 points
The sum of four numbers is 12145. What is the average expressed in base five?
Question 31 of 50
31. Question
1 points
A woman buys 270 oranges for N1,800.00 and sells at 5 for N40.00. What is her profit?
Question 32 of 50
32. Question
1 points
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
Question 33 of 50
33. Question
1 points
The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5m, find the constant of proportionality.
Question 34 of 50
34. Question
1 points
The sum of the first n terms of an arithmetic progression is 252. If the first term is –16 and the last term is 72, find the number of terms in the series.
Question 35 of 50
35. Question
1 points
A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides.
Question 36 of 50
36. Question
1 points
An arc of a circle subtends an angle of 30o on the circumference of a circle of radius 21cm. Find the length of the arc.
Question 37 of 50
37. Question
1 points
By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?
Question 38 of 50
38. Question
1 points
Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women.
Question 39 of 50
39. Question
1 points
The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is
Question 40 of 50
40. Question
1 points
Find the mean of the distribution above.
Question 41 of 50
41. Question
1 points
On a pie chart, there are four sectors of which three angles are 45o, 90o and 135o. If the smallest sector represents N28.00, how much is the largest sector?
Question 42 of 50
42. Question
1 points
The result of tossing a fair die 120 times is summarized above. Find the value of x.
Question 43 of 50
43. Question
1 points
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
Question 44 of 50
44. Question
1 points
The weights of 10 pupils in a class are 15kg, 16kg, 17kg, 18kg, 16kg, 17kg, 17kg, 17kg, 18kg and 16kg. What is the range of this distribution?
Question 45 of 50
45. Question
1 points
A committee of six is to be formed by a state governor from nine state commissioners and three members of the house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly?
Question 46 of 50
46. Question
1 points
The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20?
Question 47 of 50
47. Question
1 points
Find the mean deviation of 1, 2, 3 and 4.
Question 48 of 50
48. Question
1 points
Some white balls were put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the basket is 3/7, how many white balls were introduced?
Question 49 of 50
49. Question
1 points
The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages becomes 18 years. Find the number of students in the group.
Question 50 of 50
50. Question
1 points
Given that the first and fourth terms of a G.P. are 6 and 162 respectively, find the sum of the first three terms of the progression.
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