UNIVERSITY OF LAGOS JUPEB MATHEMATICS 2014/2015
JUPEB MATHEMATICS 2014/2015
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JUPEB MATHEMATICS 2014/2015
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Question 1 of 40
1. Question
The mean of 12 numbers of 18. If each of the first 6 numbers is increased by 2 and each of the remaining numbers is also increased, by 4 obtain the new mean of the 12 numbers
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Question 2 of 40
2. Question
Point A and B are respectively 20m north and 48m east of point C. Find the distance Also
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Question 3 of 40
3. Question
Ten years ago, the sum of the ages of a mother and her daughter was seventy years. This year the mother is twice as old as her daughter. What will be’ the age of the daughter in ten years time?
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Question 4 of 40
4. Question
There are five sectors on a pie chart of which three of them, are 25°, 45°, 90°, while the rest are equal ‘in size. If the smallest sector is allocated a budget of N28,000, how much is allocated to one of the equal sectors and the sectors with 45°.
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Question 5 of 40
5. Question
If the original length of a rectangular lawn is doubled and its width increased by 4m, the perimeter of the law also increased from 22m to 48m, find the difference between the original area and the new area of the law
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Question 6 of 40
6. Question
Three sacks of grains can feed 27 chickens for 32 days. What is the minimum number of days for 40 chickens to feed on five sacks of grains?
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Question 7 of 40
7. Question
Find the sum of the first S terms of the arithmetic sequenced 4, 7,10,13.
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Question 8 of 40
8. Question
Solve for log 2x + log2 (x +2) = 3
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Question 9 of 40
9. Question
When a dealer sells a bicycle for N2,500 he makes a profit of 15%. How much did he pay
for the bicycle in nearest tens of Naira?Correct
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Question 10 of 40
10. Question
Find the median of the set of numbers 11,9,9,10,7,14,10,12
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Question 11 of 40
11. Question
The quantity R is partly constant and partly varies inversely as the square of t. Given that
when t =1, R=S and when t3, R=2, Find R when t=2Correct
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Question 12 of 40
12. Question
If the function f (x) = x3 + 2 x2 + kx – 6 is 1 divisible by x+1, find the value k.
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Question 13 of 40
13. Question
The sum of the first 12 terms of an arithmetic progression is 135 while the sum of the next 8 terms is 210, find common difference.
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Question 14 of 40
14. Question
If the mean of five consecutive odd integers is 35, find the largest of numbers
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Question 15 of 40
15. Question
A chord MN subtends an angle of 1200 at 0, the centre of a circle with radius 12cm. Find the area of triangle MON.
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Question 16 of 40
16. Question
Solve the equation for the value of x if log16 (x + 1) =Log42
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Question 17 of 40
17. Question
The chances of Uche and Chukwudi passing mathematics are 40% and 75% respectively.
What is the probability that only one of them will past mathematics?Correct
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Question 18 of 40
18. Question
1f 6a2/x +2b2/y = 62/y, find a if X =3, Y=5 and b=7
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Question 19 of 40
19. Question
Fifteen boys and x girls took an entrance examination. The mean of the boys = score and that of the girls were respectively 16 and 18. If the total score of all the candidates were 474, then the value of x is
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Question 20 of 40
20. Question
A man 21 m from the foot of a tower observe: the angle of elevation of the tower to be 300. Determine the height of the tower
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Question 21 of 40
21. Question
Solve for x if 3x = 9
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Question 22 of 40
22. Question
Three boys shared some oranges. The first, received 113 of, the oranges. The second
received 3/2 of the remainder. The third boy received the remaining 12 oranges, how many oranges did they share?Correct
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Question 23 of 40
23. Question
Solve 3 (2x) = 14 + 5x
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Question 24 of 40
24. Question
A man spent 1110 of his monthly salary on rent 5/6 of the remainder household needs. If Nl,800,00 is left, how much is his monthly salary?
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Question 25 of 40
25. Question
A car painter charges N40 per day for himself and E4 1 0 per day for hill assistant, if a fleet of cars were painted for N2,000 and the painted .worked 10 days more than his assistant; how much did the assistant receive?
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Question 26 of 40
26. Question
Given the progression 27, 9,3,… ….. … , 18. The 5th term
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Question 27 of 40
27. Question
What will be the value of N850 compounded at 15% for 4 years?
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Question 28 of 40
28. Question
What principal amount accrues to N8500 if it is compounded at 14.5% over 6 years? Find the value of the original amount
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Question 29 of 40
29. Question
Given the sequence 5, 1, 3, 7 Find a formula for the nth term
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Question 30 of 40
30. Question
If log9x = 1.5; find x?
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Question 31 of 40
31. Question
If g (x) = x2 +3x +4, find g(x + l) – g (x)
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Question 32 of 40
32. Question
Solve the inequality of 5x + 7 < 6 (X + 3)
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Question 33 of 40
33. Question
Find, the distance along the parallel of’ latitude between the given pair of points on the surface of the Earth, P (400N, 20ft W) and Q (400N, 100E). Take 0=3.142 and radius of the Earth, R=6,400km
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Question 34 of 40
34. Question
Find the probability that a bead will appear when two coins are toosed
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Question 35 of 40
35. Question
The prime factors of 2580 are
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Question 36 of 40
36. Question
The chances of three independent of three independent events X, Y, Z occurring 1/4, 2/5, 1/3 respectively. What are the chances of X and Y only occurring.
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Question 37 of 40
37. Question
Find the mean deviation of 6, 5, 9, 10
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Question 38 of 40
38. Question
Solve the simultaneouslinear equations y = 3x, Y = x + 1
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Question 39 of 40
39. Question
Akin deposited N5,000 in the bank at the rate of 10% simple interest. After some time, the total amount was two and the half times the principal. For how many years was money left in the Bank?
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Question 40 of 40
40. Question
The variance of the scores 1, 2, 3, 4, 5 is
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