POST-UTME: UNILAG – MATHEMATICS
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2019/2020 UNILAG Mathematics Post-UTME
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Question 1 of 39
1. Question
If x + y and x – y = 1, what is y? 1
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Question 2 of 39
2. Question
The rate of consumption of fuel by a car is given by 4800 the expression 3v + 4800/v, where v is the speed of the car in km/h. The speed at which the rate of fuel consumption is least is
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Question 3 of 39
3. Question
In which of the following is the number N the smallest
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Question 4 of 39
4. Question
If y = cosec x, dy/dx is
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Question 5 of 39
5. Question
The derivative with respect to x of cos \((2x – 3x^2)\) is
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Question 6 of 39
6. Question
Four cars A, B, C, and D, finished a race with the following respective times completing the course:
Which car finished first?
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Question 7 of 39
7. Question
A car dealer paid N240, 000 for a car. He added 1/5 of this amount to what he paid in order to determine his selling price. What was his selling
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Question 8 of 39
8. Question
A student ‘s test scraps on the first five of six examinations to be given during the semester are tabulated below:
What must the student score in the last examination to make his average for the semester 81?
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Question 9 of 39
9. Question
Mr. Dede earns a commission on N150 on sales of 3000. At this rate, how much commission will he earn on sales of N7400?
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Question 10 of 39
10. Question
Four cars A, B, C, and D, finished a race with the following respective times for completing the course;
How long after car D crossed the finish line did Car A cross the line?
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Question 11 of 39
11. Question
Determine correctly to the nearest kobo, the monthly installment on a loan is N12,500 at 6% for 30 years.
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Question 12 of 39
12. Question
The area bounded by the curve y = (3x + 1) (x – 1), the axis , x = 1 and x = 3 is
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Question 13 of 39
13. Question
The area bounded by the curve
, the axis, the y-axis and x = 4 is
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Question 14 of 39
14. Question
The rate of ice formation in the freezer, compartment is (2 -0.3t) g per min: If there was an initial 10g of ice in the ice-maker, the mass of ice present 1o minutes is
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Question 15 of 39
15. Question
The volume of a balloon that is being blown increases at the rate of
where t is the time in seconds. If the initial volume of the balloon is zero, its volume after 3 seconds is
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Question 16 of 39
16. Question
Determine correctly to the nearest kobo, the monthly installment on a loan of N15000 at 7% for 30 years.
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Question 17 of 39
17. Question
If certain principal earns N40 interest per year at an interest rate of 6% per year, what interest will it earn at the rate of 1% per month?
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Question 18 of 39
18. Question
At a school picnic, 1 junior and 1 senior will be chosen to lead the school activities. If there are 125 juniors and 100 seniors at the picnic, how many different ways 2-person combinations of 1 junior and 1 senior are possible?
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Question 19 of 39
19. Question
Determine correctly to the nearest kobo, the 1 monthly installment on a loan of N14,000 at
for 20 years
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Question 20 of 39
20. Question
If 5 times a number n is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for n?
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Question 21 of 39
21. Question
How many prime numbers are there between 30 and 50?
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Question 22 of 39
22. Question
A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in the booths, and no booths are empty, what is the greatest possible number of booths that could be filled with 4 people?
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Question 23 of 39
23. Question
George’s best long jump distance increased by 10% from 2000 to 2001 and by 20% from 2001 and 2002. What percent did her best long jump distance increase from 2000 to 2002?
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Question 24 of 39
24. Question
A person 2 meters tall casts a shadow 12 meters long At the same time, a telephone pole casts a shadow 12 meters long. How tall is the pole?
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Question 25 of 39
25. Question
If the coordinates of three points X, Y, and Z are given as (6, 3), (1, 2), and (7, -2) respectively. Find the coordinates of the midpoints of the line XY.
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Question 26 of 39
26. Question
The coordinates of the three points X, Y and Z are given as (6, 3), (1, 2) and (7, -2) respectively. Find the gradient of the line XY.
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Question 27 of 39
27. Question
The coordinates of three points X, Y, and Z are given (6, 3),(1, 2),+ and (7, 2) respectively. Find the equation of the line YZ.
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Question 28 of 39
28. Question
The perpendicular distance of the point (2, 1) from the line 3x +4y + 5 = 0 is
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Question 29 of 39
29. Question
The equation of the line which passes through the point ( -1, 3) and is parallel to the line 2x + 3y = 5 is
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Question 30 of 39
30. Question
The point (x, y) at which the curve
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Question 31 of 39
31. Question
The distance between the point (6, 5) and the point, of the intersection of the line x + y = 4, and x – y = 2 is
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Question 32 of 39
32. Question
A line which makes an angle of 135° with the positive x-axis passes through points (5, -3). The equation of the line is
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Question 33 of 39
33. Question
Determine the value of the base x if
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Question 34 of 39
34. Question
A number P is divisible exactly by 3 and 5 and a number Q by 3, 5, and 7. The highest common factor of P and Q is
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Question 35 of 39
35. Question
After polling a class of 20 music students by a show of hands, you find that 8 students play the guitar and 9 students play the piano. What is minimum number of students in this music class who play both the guitar and the piano?
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Question 36 of 39
36. Question
The length of a rod was given as 35 cm correct to the nearest centimeter. The actual length has within the range
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Question 37 of 39
37. Question
The number whose logarithm to base 10 is 1.5 is
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Question 38 of 39
38. Question
Which of the following is the set of all real numbers x such that x + 3 > x + 5?
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Question 39 of 39
39. Question
The larger of to numbers exceeds twice the smaller number by 8. The sum twice the larger and 3 times the smaller number is 65. If x is the smaller number, which equation determines that correct value of x?
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Emmanuel is my name