JAMB: MATHEMATICS
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2022 Mathematics Jamb Past Questions CBT

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Title: 2021 Mathematics Past Questions & Answers for JAMB.
Instructions: Answer All Questions.
Time Allowed: 50 minutes
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Question 1 of 40
1. 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 2 of 40
2. 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 3 of 40
3. 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 4 of 40
4. Question
What is the mean deviation of x, 2x, x + 1 and 3x, if their mean is 2?
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Question 5 of 40
5. 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 6 of 40
6. Question
In how many ways can 9 people be seated if 3 chairs are available?
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Question 7 of 40
7. 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 8 of 40
8. 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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Question 9 of 40
9. Question
Determine the value of x for which
\( \scriptsize (x^2\: \: 1) > 0 \)
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Question 10 of 40
10. Question
Find the range of values of x for which 3x – 7 ≤ 0 and x + 5 > 0.
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Question 11 of 40
11. Question
The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35,… is
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Question 12 of 40
12. Question
Find to infinity, the sum of the sequence \( \scriptsize 1, \normalsize \frac{9}{10}\scriptsize, \normalsize\left( \frac{9}{10} \right)^2 \scriptsize, \normalsize\left( \frac{9}{10} \right)^ 3 \scriptsize \: ,………\)
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Question 13 of 40
13. Question
If m*n = n – m + 2 for any real numbers m and n, find the value of 3 * 5.
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Question 14 of 40
14. Question
A binary operation ⊗ defined on the set of integers is such that m⊗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 15 of 40
15. Question
If Q = \( \scriptsize \left[ \begin{array}{cc} 9 & 2 \\ 7 & 4 \\ \end{array} \right],\)
then Q is
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Question 16 of 40
16. Question
If P = \( \scriptsize\begin{pmatrix} x + 3 & x + 2 \\ x + 1 & x \: \:1 \end{pmatrix}\)
Evaluate x if P = 10
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Question 17 of 40
17. Question
What is the size of each interior angle of a 12sided regular polygon?
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Question 18 of 40
18. Question
A circle of perimeter 28 cm is opened to form a square. What is the maximum possible area of the square?
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Question 19 of 40
19. Question
A chord of a circle of radius 7 cm is 5 cm from the centre of the circle. What is the length of the chord?
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Question 20 of 40
20. Question
A solid metal cube of side 3 cm is placed in a rectangular tank of dimensions 3, 4 and 5 cm. What volume of water can the tank now hold?
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Question 21 of 40
21. Question
The perpendicular bisector of a line XY is the locus of a point _______
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Question 22 of 40
22. Question
The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.
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Question 23 of 40
23. Question
Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).
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Question 24 of 40
24. Question
In a rightangled triangle, if tan θ = \( \frac{3}{4} \).
What is cos θ – sin θ?
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Question 25 of 40
25. Question
A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.
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Question 26 of 40
26. Question
The derivative of (2x + 1)(3x + 1) is
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Question 27 of 40
27. Question
The 3rd term of an A.P. is 4x – 2y and the 9th term is 10x – 8y. Find the common difference.
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Question 28 of 40
28. Question
If (x – 1), (x + 1) and (x – 2) are factors of the polynomial ax^{3} + bx^{2} + cx – 1
find a, b, c respectively.
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Question 29 of 40
29. Question
Find the inverse of p under the binary operation * defined by p * q = p + q – pq, where p and q are real numbers and zero is the identity.
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Question 30 of 40
30. Question
3y = 4x – 1 and Ky = x + 3 + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.
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Question 31 of 40
31. Question
If P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X
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Question 32 of 40
32. Question
A predator moves in a circle of radius 2 centre (0, 0), while a prey moves along the line y = x.
If 0 ≤ x ≤ 2, at which point(s) will they meet?
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Question 33 of 40
33. Question
Find the minimum value for the function
f(θ) = \( \frac{2}{3\:\:cos \theta} \)
for \( \scriptsize 0 \leq \theta \leq 2 \pi \)
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Question 34 of 40
34. Question
P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and ΔVUS = 50º, find ΔUST.
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Question 35 of 40
35. Question
In the diagram, EFGH is a circle with centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N; if NH = 8 cm and EG = 24 cm, calculate FH.
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Question 36 of 40
36. Question
A ship sails a distance of 50 km in the direction S50ºE and then sails a distance of 50 km in the direction N40ºE. Find the bearing of the ship from its original position.
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Question 37 of 40
37. Question
Simplify \(\scriptsize 3\frac{1}{3} \: \: \left(2 \frac{1}{3} \: \times \: 1\frac{1}{4} \right) \: + \: \frac{3}{5} \)
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Question 38 of 40
38. Question
A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father’s monthly income, if the second child got ₦3 000?
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Question 39 of 40
39. Question
If the interest on ₦150.00 for \( \scriptsize 2\frac{1}{2} \) years is ₦4.50, find the interest on ₦250.00 for 6 months at the same rate.
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Question 40 of 40
40. Question
Three boys shared some oranges. The first received ^{1}/_{3} of the oranges and the second received ^{2}/_{3} of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share?
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