JAMB Practice Questions
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2009 Mathematics Jamb Past Questions CBT

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Question 1 of 50
1. Question
Subtract 16418_{9}Â from 18630_{9}
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Question 2 of 50
2. Question
If 55_{X} + 52_{X} = 77_{10}, find x
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Question 3 of 50
3. Question
Simplify \(\scriptsize 7 \frac {1}{12} \; – \;Â 4 \frac {3}{4} \; + \; 2 \frac {1}{2}\)
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Question 4 of 50
4. Question
Evaluate \( \frac {81.81 \; + \;Â 99.44}{20.09 \; + \; 36.16} \)
Correct to 3 Significant figures
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Question 5 of 50
5. Question
A man bought a secondhand photocopying machine for â‚¦34,000.
He serviced it at a cost of N2,000 and then sold it at a profit of 15%.
What was the selling price?
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Question 6 of 50
6. Question
A student spentÂ ^{1}/_{5Â }of his allowance on books,Â ^{1}/_{3}Â of the remainder on food, and kept the rest for contingencies. What fraction was kept?
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Question 7 of 50
7. Question
Solve \(\scriptsize 5^{2(x \: \:Â 1)}\:Â \times \:Â 5^{x \: +\:Â 1} = 0.04\)
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Question 8 of 50
8. Question
If log_{10}2 = 0.3010 and log_{10}7 = 0.8451,
evaluate log_{10}280.
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Question 9 of 50
9. Question
Simplify \( \normalsize \frac {5 \: + \:\sqrt{7}}{3\: +\:\sqrt{7}}\)
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Question 10 of 50
10. Question
If X = {n^{2 }+ 1 : n is a positive integer and 1 â‰¤ n â‰¤ 5},
Y = {5n : n is a positive integer and 1 â‰¤ n â‰¤ 5},find xÂ âˆ© y
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Question 11 of 50
11. Question
I. Sâˆ©Tâˆ©W = S
II. SâˆªTâˆªW = W
III. Tâˆ©W = S
If SâŠ‚TâŠ‚W,
Which of the above statements are true?
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Question 12 of 50
12. Question
IfÂ \( p=\sqrt{\frac{rs^3}{t}}\),express r in terms of p, s and t
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Question 13 of 50
13. Question
A polynomial in x whose roots areÂ ^{4}/_{3}Â andÂ – ^{3}/_{5}Â is
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Question 14 of 50
14. Question
Which of the following equations represents the graph above?
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Question 15 of 50
15. Question
W is directly proportional to U. If W = 5 when U = 3, find when W = ^{2}/_{7}
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Question 16 of 50
16. Question
Determine the value of x for which (x^{2} – 1) > 0.
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Question 17 of 50
17. Question
Find the range of values of x for which 3x – 7Â â‰¤ 0 and x + 5 > 0
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Question 18 of 50
18. Question
The sum of the first n terms of the arithmetic
progression 5, 11, 17, 23, 29, 35â€¦. is
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Question 19 of 50
19. Question
Find to infinity, the sum of the sequence \(\scriptsize 1,\: \normalsize \frac{9}{10},\: \left(\frac{9}{10}\right)^2,\: \left(\frac{9}{10}\right)^3,…..\)
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Question 20 of 50
20. Question
If m âˆ— n = n(m + 2) for any real numbers m and n, find the value of 3 âˆ— (5)
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Question 21 of 50
21. Question
A binary operation âŠ— defined on the set of integers
is such that m âŠ— n = m + n + mn for all integers m and n.
Find the inverse of 5 under this operation. If the identity element is 0.
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Question 22 of 50
22. Question
If Q is \( \scriptsize \left[ \begin{array}{cc} 9 & 2 \\7 & 4 \\\end{array} \right]\)
Then Q is
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Question 23 of 50
23. Question
If P \(=\scriptsize\left[\begin{array}{cc}x+3 & x+2\\
x+1 & x1\end{array}\right]\)evaluate x if P = 10
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Question 24 of 50
24. Question
Find the acute angle between the straight lines y = x and y = \( \scriptsize \sqrt{3x} \)
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Question 25 of 50
25. Question
A regular polygon has 150Â° as the size of each interior angle.
How many sides does it have?
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Question 26 of 50
26. Question
In the figure above , TS//YZ and XY = TY, âˆ SYZ = 34^{o}, âˆ TXY = 47^{o}, find the angle marked xCorrectIncorrect 
Question 27 of 50
27. Question
If the hypotenuse of a rightangled isosceles triangle is 2 cm, what is the area of the triangle?
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Question 28 of 50
28. Question
A chord is drawn 5 cm away from the centre of a circle of radius 13 cm. Calculate the length of the chord
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Question 29 of 50
29. Question
Find the radius of a sphere whose surface area is 154 cm^{2Â }
(\( \scriptsize \pi = \normalsize \frac{22}{7}\))
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Question 30 of 50
30. Question
Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x= 0 and y= 0 (where k is a constant)
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Question 31 of 50
31. Question
What it is the locus of the midpoint of all chords of length 6cm with a circle of radius 5cm and with center O?
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Question 32 of 50
32. Question
What is the value of p if the gradient of the line joining (1, p) and (p, 4) isÂ ^{2}/_{3?}
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Question 33 of 50
33. Question
What is the value of r if the distance between the points (4, 2) and(1, r) is 3 units?
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Question 34 of 50
34. Question
Find the value of sin 45Â° – cos 30Â°
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Question 35 of 50
35. Question
A cliff on the bank of a river is 300 meters high. If the angle of depression of a point on the opposite side of the river is 60^{o}, find the width of the river.
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Question 36 of 50
36. Question
If y = 3 cos 4x
\( \frac {dy}{dx} \) equals
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Question 37 of 50
37. Question
If s = (2 + 3t)(5t – 4), find \(\frac{ds}{dt}\) when t =Â \(\frac{4}{5}\scriptsize \: secs\)
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Question 38 of 50
38. Question
What value of x will make the function, x(4 – x) a maximum?
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Question 39 of 50
39. Question
The distance traveled by a particle from a fixed point is given as s = (t^{3} – t^{2} – t + 5) cm. Find the minimum distance that the particle can cover from the fixed point.
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Question 40 of 50
40. Question
Evaluate \( \scriptsize \int sec^2 \theta \: d\theta \)
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Question 41 of 50
41. Question
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?
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Question 42 of 50
42. Question
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidates scored more than 50 marks?
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Question 43 of 50
43. Question
The pie chart above represents 400 fruits on display in a grocery store. How many apples are in the store?
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Question 44 of 50
44. Question
The cumulative frequency curve above shows the distribution of the scores of 50 students in an examination. Find the 36th percentile score.
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Question 45 of 50
45. Question
5, 8, 6 and k occur with frequencies 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k.
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Question 46 of 50
46. Question
What is the mean deviation of x, 2x, x + 1 and 3x, if their mean is 2?
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Question 47 of 50
47. Question
In how many ways can a delegation of 3 be chosen from 5 men and 3 women, if at least 1 man and 1 woman must be included?
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Question 48 of 50
48. Question
In how many ways can 9 people be seated if 3 chairs are available?
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Question 49 of 50
49. Question
The probability of a student passing any examination is \( \frac{2}{3}\). If the student takes three examinations, what is the probability that he will not pass any of them
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Question 50 of 50
50. Question
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5.
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