2022 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS Leave a Comment / Jamb Mathematics / By Jamb Tutor Report a question What’s wrong with this question? You cannot submit an empty report. Please add some details. 0% 0 votes, 0 avg Created by Jamb TutorJAMB Mathematics 2022 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS 1 / 50 Category: Jamb Mathematics 2022 1. $$\text{In the figure, } PQRS \text{ is a circle with } ST = RQ. \text{ Find the value of } x.$$ a) $$70^\circ$$ b) $$55^\circ$$ c) $$40^\circ$$ d) $$35^\circ$$ $$\text{Using geometry, find } x = 70^\circ.$$ 2 / 50 Category: Jamb Mathematics 2022 2. $$\text{Find the tangent of the acute angle between the lines } 2x + y = 3 \text{ and } 3x – 2y = 5.$$ a) $$\frac{7}{4}$$ b) $$\frac{7}{8}$$ c) $$\frac{-7}{4}$$ d) $$\frac{7}{2}$$ $$\text{Use the formula for the tangent of the angle between two lines to find } \tan(\theta) = \frac{7}{4}.$$ 3 / 50 Category: Jamb Mathematics 2022 3. $$\text{Three boys play a game, each with respective chances of winning } \frac{1}{2}, \frac{1}{3}, \frac{1}{4}. \text{ What is the probability that one wins?}$$ a) $$\frac{11}{24}$$ b) $$\frac{1}{12}$$ c) $$\frac{1}{24}$$ d) $$\frac{23}{24}$$ $$\text{The probability that one wins is } \frac{11}{24}.$$ 4 / 50 Category: Jamb Mathematics 2022 4. $$\text{A number is selected at random from } 0 \text{ to } 20. \text{ What is the probability the number is an odd prime?}$$ a) $$\frac{8}{21}$$ b) $$\frac{5}{21}$$ c) $$\frac{1}{3}$$ d) $$\frac{2}{7}$$ $$\text{There are 8 odd primes between 0 and 20, so the probability is } \frac{8}{21}.$$ 5 / 50 Category: Jamb Mathematics 2022 5. $$\text{If } 6C/rp = \frac{1}{6}, \text{ find the value of } r.$$ a) $$3$$ b) $$1$$ c) $$5$$ d) $$6$$ $$\text{Solve for } r = 3.$$ 6 / 50 Category: Jamb Mathematics 2022 6. $$\text{If the standard deviation of the set } \{3, 6, x, 7, 5\} \text{ is } 2, \text{ find the least possible value of } x.$$ a) $$3$$ b) $$4$$ c) $$5$$ d) $$2$$ $$\text{Using the standard deviation formula, the least value of } x \text{ is } 3.$$ 7 / 50 Category: Jamb Mathematics 2022 7. $$\text{How many two-digit numbers can be formed from the digits 0, 1, 2 if a digit can be repeated and no number starts with 0?}$$ a) $$12$$ b) $$16$$ c) $$20$$ d) $$4$$ $$\text{There are 12 valid two-digit numbers.}$$ 8 / 50 Category: Jamb Mathematics 2022 8. $$\text{In the diagram, calculate the value of } \angle PST.$$ a) $$25^\circ$$ b) $$40^\circ$$ c) $$50^\circ$$ d) $$90^\circ$$ $$\text{Using angle relationships, calculate } \angle PST = 25^\circ.$$ 9 / 50 Category: Jamb Mathematics 2022 9. $$\text{The grades of 36 students are shown in the pie chart. How many students had excellent grades?}$$ a) $$7$$ b) $$8$$ c) $$9$$ d) $$12$$ $$\text{From the pie chart, the number of students with excellent grades is } 7.$$ 10 / 50 Category: Jamb Mathematics 2022 10. $$\text{A student calculated the mean of 5 numbers as 45.3. When rechecking, he discovered the total was short by 20.5. What is the correct mean?}$$ a) $$49.4$$ b) $$41.2$$ c) $$65.8$$ d) $$55.8$$ $$\text{The correct mean is } 49.4.$$ 11 / 50 Category: Jamb Mathematics 2022 11. $$\text{In the budget, Agriculture has } \#25,000,000, \text{ Education } \#40,000,000, \text{ find the corresponding angle for Agriculture.}$$ a) $$25^\circ$$ b) $$40^\circ$$ c) $$50^\circ$$ d) $$45^\circ$$ $$\text{The angle corresponding to Agriculture is } 25^\circ.$$ 12 / 50 Category: Jamb Mathematics 2022 12. $$\text{The mean of four numbers is 5, and the mean deviation is 3. Find the fourth number if the mean deviation of the first three numbers is 2.}$$ a) $$10$$ b) $$6$$ c) $$11$$ d) $$17$$ $$\text{The fourth number is } 10.$$ 13 / 50 Category: Jamb Mathematics 2022 13. $$\left(\frac{a^3b^2c}{a}\right) \div \frac{b^4c^5}{a}$$ a) $$\frac{5}{2}$$ b) $$-\frac{5}{4}$$ c) $$-\frac{25}{4}$$ d) $$-10$$ $$\text{Simplify the expression by dividing terms: } a^3b^2c \div b^4c^5 = \frac{a^3}{a} \cdot \frac{b^2}{b^4} \cdot \frac{c}{c^5}.$$ 14 / 50 Category: Jamb Mathematics 2022 14. $$\frac{2}{(x+2)} = \frac{1}{(x-2)}$$ a) $$\frac{3}{2} + 4$$ b) $$\frac{3}{2} – 4$$ c) $$3 – 2$$ d) $$4 + 2$$ $$\text{Cross-multiply and simplify to find } x = \frac{3}{2} \pm 4.$$ 15 / 50 Category: Jamb Mathematics 2022 15. $$\text{A trader bought 100 oranges at } 5 \text{ for } \#1.20, 20 \text{ got spoilt, and the remaining were sold at 4 for }\#1.50.$$ a) $$25\% \text{ gain}$$ b) $$30\% \text{ loss}$$ c) $$30\% \text{ gain}$$ d) $$25\% \text{ loss}$$ $$\text{Calculate total cost and sale. The gain is } 25\%.$$ 16 / 50 Category: Jamb Mathematics 2022 16. $$U = \{1, 2, 3, 4, 5, 6\}, P = \{3, 4, 5\}, Q = \{2, 4, 6\}, R = \{1, 2, 3, 4\}, \text{ find } (P \cap Q)^\prime \cap R.$$ a) $$\{1, 2, 3, 4, 5, 6\}$$ b) $$\{1, 3, 4\}$$ c) $$\{3, 4, 5\}$$ d) $$\{1\}$$ $$\text{Use set operations to find: } (P \cap Q)^\prime \cap R = \{1, 2, 3, 4\}.$$ 17 / 50 Category: Jamb Mathematics 2022 17. $$\frac{2434}{426}$$ a) $$36$$ b) $$22$$ c) $$52$$ d) $$35$$ $$\text{Divide and simplify } \frac{2434}{426} = 6.$$ 18 / 50 Category: Jamb Mathematics 2022 18. $$3x(Y^3) = 39(Y^3), \text{ find } Y.$$ a) $$4$$ b) $$3$$ c) $$2$$ d) $$1$$ $$\text{Simplifying gives } Y = 3.$$ 19 / 50 Category: Jamb Mathematics 2022 19. $$\frac{(0.0023 \times 750)}{(0.00345)} \times 1.25$$ a) $$15$$ b) $$20$$ c) $$40$$ d) $$75$$ $$\text{Simplify the expression: } \frac{(0.0023 \times 750)}{0.00345} = 500, \text{ and multiplying by 1.25 gives } 625.$$ 20 / 50 Category: Jamb Mathematics 2022 20. $$\log_{10} x = x, \text{ evaluate } \log_{5} \log_{5} \text{ in terms of } x.$$ a) $$x^{1/3}$$ b) $$x^{1/4}$$ c) $$x^{-1/3}$$ d) $$x^{-1/2}$$ $$\text{Use logarithmic properties to simplify and solve for } \log_5 \log_5 = x^{-1/3}.$$ 21 / 50 Category: Jamb Mathematics 2022 21. $$\text{12 market women sell maize, yam, and plantain, find the total number of women in the group.}$$ a) $$19$$ b) $$25$$ c) $$18$$ d) $$17$$ $$\text{Use the principle of inclusion-exclusion to find the total number of women: } 19.$$ 22 / 50 Category: Jamb Mathematics 2022 22. $$Q = (6, 0), Q + P = (7, 2), \text{ evaluate } Q + 2P.$$ a) $$90$$ b) $$96$$ c) $$102$$ d) $$120$$ $$\text{Substitute the values into the equation: } Q + 2P = 90.$$ 23 / 50 Category: Jamb Mathematics 2022 23. $$a * b = ab + b, \text{ if identity element is zero, find the inverse of 2 under this operation.}$$ a) $$2/3$$ b) $$1/2$$ c) $$-1/2$$ d) $$56/9$$ $$\text{Inverse of 2 is } -\frac{1}{2}.$$ 24 / 50 Category: Jamb Mathematics 2022 24. $$\text{The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the progression if the sum to infinity is 8.}$$ a) $$8/5$$ b) $$8/3$$ c) $$72/25$$ d) $$56/9$$ $$\text{Sum of the first two terms is } \frac{8}{5}.$$ 25 / 50 Category: Jamb Mathematics 2022 25. $$\text{Tope bought } x \text{ oranges at 5.00 each and twice as many mangoes at 4.00 each. Find the range of } x.$$ a) $$5 \leq x \leq 8$$ b) $$4 \leq x \leq 5$$ c) $$5 \leq x \leq 10$$ d) $$8 \leq x \leq 10$$ $$\text{Using total cost equations, the range of } x \text{ is } 5 \leq x \leq 8.$$ 26 / 50 Category: Jamb Mathematics 2022 26. $$m * n = \frac{m}{n} – \frac{n}{m}, \text{ evaluate } -3 * 4.$$ a) $$-25/12$$ b) $$-7/12$$ c) $$7/12$$ d) $$25/12$$ $$\text{Evaluate using the operation: } -\frac{25}{12}.$$ 27 / 50 Category: Jamb Mathematics 2022 27. $$\text{Find the matrix } T \text{ if } S T = I.$$ a) $$(-1, 1), (1, -1)$$ b) $$(-2, -1), (-1, -1)$$ c) $$(-1, 1), (1, 1)$$ d) $$(-2, 1), (1, 1)$$ $$\text{The matrix } T = (-1, 1), (1, -1).$$ 28 / 50 Category: Jamb Mathematics 2022 28. $$\frac{4x^3 – 3x + 1}{2x – 1}$$ a) $$2x^2 + x + 1$$ b) $$2x^2 + x – 1$$ c) $$2x^2 + x + 1$$ d) $$2x^2 + x – 1$$ $$\text{Divide using long division to get } 2x^2 + x + 1.$$ 29 / 50 Category: Jamb Mathematics 2022 29. $$k, l, m \text{ are consecutive integers such that } l^2 = 3(k + m), \text{ find } m.$$ a) $$5$$ b) $$6$$ c) $$10$$ d) $$7$$ $$\text{Solve for } m = 5.$$ 30 / 50 Category: Jamb Mathematics 2022 30. $$\text{In the diagram above, } PQRS \text{ is a circle, } ST = RQ, \text{ find } x.$$ a) $$70^\circ$$ b) $$55^\circ$$ c) $$40^\circ$$ d) $$35^\circ$$ $$\text{Use geometry properties to find } x = 70^\circ.$$ 31 / 50 Category: Jamb Mathematics 2022 31. $$\text{Factorize } x^2 + 2xy + y^2 + 3y – 18.$$ a) $$ (x + y + 6)(x + y – 3) $$ b) $$ (x + y + 6)(x + y + 3) $$ c) $$ (x – y)(x + y – 3) $$ d) $$ (x + y)(x + y + 3) $$ $$\text{The factorization is } (x + y + 6)(x + y – 3).$$ 32 / 50 Category: Jamb Mathematics 2022 32. $$\frac{1}{x^3 – 1}$$ a) $$\frac{1}{(x – 1)(x^2 + x + 1)}$$ b) $$\frac{1}{x – 1}$$ c) $$\frac{1}{x^2 + x + 1}$$ d) $$\frac{1}{x^3}$$ $$\text{Factor } x^3 – 1 \text{ as } (x – 1)(x^2 + x + 1).$$ 33 / 50 Category: Jamb Mathematics 2022 33. $$\triangle MNO, \text{ where } MN = 6, MO = 4, NO = 12, \text{ find NP.}$$ a) $$4.8 \, \text{units}$$ b) $$7.2 \, \text{units}$$ c) $$8.0 \, \text{units}$$ d) $$18.0 \, \text{units}$$ $$\text{Using the angle bisector theorem, find that } NP = 4.8.$$ 34 / 50 Category: Jamb Mathematics 2022 34. $$\text{Find the equation of the locus of a point } P(x, y) \text{ such that } PV = PW, \text{ where } V = (1,1) \text{ and } W = (3,5).$$ a) $$x + 2y = 8$$ b) $$2x + 2y = 9$$ c) $$2x + 3y = 8$$ d) $$x + y = 9$$ $$\text{Use the distance formula and equate distances to get the equation of the locus: } x + 2y = 8.$$ 35 / 50 Category: Jamb Mathematics 2022 35. $$\text{In the figure, find the value of } 1.$$ a) $$5 \, \text{cm}$$ b) $$6 \, \text{cm}$$ c) $$7 \, \text{cm}$$ d) $$8 \, \text{cm}$$ $$\text{Use the given diagram to solve for the unknown length: } 5 \text{ cm}.$$ 36 / 50 Category: Jamb Mathematics 2022 36. $$\text{In the figure, } XZ \text{ is tangent to the circle at } Q, \text{ find } x.$$ a) $$5$$ b) $$4$$ c) $$3$$ d) $$6$$ $$\text{Using the tangent-secant theorem, the value of } x \text{ is } 5.$$ 37 / 50 Category: Jamb Mathematics 2022 37. $$\text{Find the positive value of } a \text{ for the circle equation } x^2 + y^2 – 2ax + 4y – a = 0.$$ a) $$2$$ b) $$3$$ c) $$1$$ d) $$4$$ $$\text{Substitute the given center and radius into the circle equation to find } a = 2.$$ 38 / 50 Category: Jamb Mathematics 2022 38. $$\text{A man 1.7m tall observes a bird at a distance of 25m at an angle of 30°. Find the height of the tree.}$$ a) $$26.7m$$ b) $$14.2m$$ c) $$\frac{1.7 + 25}{3}$$ d) $$\frac{1.7 + 25/2}{2}$$ $$\text{Using trigonometry, find the height of the tree to be } 26.7 \, \text{m}.$$ 39 / 50 Category: Jamb Mathematics 2022 39. $$\text{In the figure, } PQRS \text{ is a circle with } ST = RQ. \text{ Find the value of } x.$$ a) $$70^\circ$$ b) $$55^\circ$$ c) $$40^\circ$$ d) $$35^\circ$$ $$\text{Using geometry, find } x = 70^\circ.$$ 40 / 50 Category: Jamb Mathematics 2022 40. $$\text{Find the tangent of the acute angle between the lines } 2x + y = 3 \text{ and } 3x – 2y = 5.$$ a) $$\frac{7}{4}$$ b) $$\frac{7}{8}$$ c) $$\frac{-7}{4}$$ d) $$\frac{7}{2}$$ $$\text{Use the formula for the tangent of the angle between two lines to find } \tan(\theta) = \frac{7}{4}.$$ 41 / 50 Category: Jamb Mathematics 2022 41. $$\text{Three boys play a game, each with respective chances of winning } \frac{1}{2}, \frac{1}{3}, \frac{1}{4}. \text{ What is the probability that one wins?}$$ a) $$\frac{11}{24}$$ b) $$\frac{1}{12}$$ c) $$\frac{1}{24}$$ d) $$\frac{23}{24}$$ $$\text{The probability that one wins is } \frac{11}{24}.$$ 42 / 50 Category: Jamb Mathematics 2022 42. $$\text{A number is selected at random from } 0 \text{ to } 20. \text{ What is the probability the number is an odd prime?}$$ a) $$\frac{8}{21}$$ b) $$\frac{5}{21}$$ c) $$\frac{1}{3}$$ d) $$\frac{2}{7}$$ $$\text{There are 8 odd primes between 0 and 20, so the probability is } \frac{8}{21}.$$ 43 / 50 Category: Jamb Mathematics 2022 43. $$\text{If } 6C/rp = \frac{1}{6}, \text{ find the value of } r.$$ a) $$6$$ b) $$3$$ c) $$1$$ d) $$5$$ $$\text{Solve for } r = 3.$$ 44 / 50 Category: Jamb Mathematics 2022 44. $$\text{If the standard deviation of the set } \{3, 6, x, 7, 5\} \text{ is } 2, \text{ find the least possible value of } x.$$ a) $$3$$ b) $$4$$ c) $$5$$ d) $$2$$ $$\text{Using the standard deviation formula, the least value of } x \text{ is } 3.$$ 45 / 50 Category: Jamb Mathematics 2022 45. $$\text{How many two-digit numbers can be formed from the digits 0, 1, 2 if a digit can be repeated and no number starts with 0?}$$ a) $$12$$ b) $$16$$ c) $$20$$ d) $$4$$ $$\text{There are 12 valid two-digit numbers.}$$ 46 / 50 Category: Jamb Mathematics 2022 46. $$\text{In the diagram, calculate the value of } \angle PST.$$ a) $$25^\circ$$ b) $$40^\circ$$ c) $$50^\circ$$ d) $$90^\circ$$ $$\text{Using angle relationships, calculate } \angle PST = 25^\circ.$$ 47 / 50 Category: Jamb Mathematics 2022 47. $$\text{The grades of 36 students are shown in the pie chart. How many students had excellent grades?}$$ a) $$7$$ b) $$8$$ c) $$9$$ d) $$12$$ $$\text{From the pie chart, the number of students with excellent grades is } 7.$$ 48 / 50 Category: Jamb Mathematics 2022 48. $$\text{A student calculated the mean of 5 numbers as 45.3. When rechecking, he discovered the total was short by 20.5. What is the correct mean?}$$ a) $$49.4$$ b) $$41.2$$ c) $$65.8$$ d) $$55.8$$ $$\text{The correct mean is } 49.4.$$ 49 / 50 Category: Jamb Mathematics 2022 49. $$\text{In the budget, Agriculture has } \#25,000,000, \text{ Education } \#40,000,000, \text{ find the corresponding angle for Agriculture.}$$ a) $$25^\circ$$ b) $$40^\circ$$ c) $$50^\circ$$ d) $$45^\circ$$ $$\text{The angle corresponding to Agriculture is } 25^\circ.$$ 50 / 50 Category: Jamb Mathematics 2022 50. $$\text{The mean of four numbers is 5, and the mean deviation is 3. Find the fourth number if the mean deviation of the first three numbers is 2.}$$ a) $$10$$ b) $$6$$ c) $$11$$ d) $$17$$ $$\text{The fourth number is } 10.$$ Your score is The average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Anonymous feedback Send feedback
