2021 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 2021 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS 1 / 50 Category: Jamb Mathematics 2021 1. $$\text{Solve } x – 8 \times 15 = 0.$$ a) $$3, 5$$ b) $$-3, -5$$ c) $$9, 25$$ d) $$-9, 25$$ $$\text{Simplify and solve for } x = 8 \times 15 = 120.$$ 2 / 50 Category: Jamb Mathematics 2021 2. $$\text{Find } x \text{ in the right-angled triangle with sides } x, (3x – 1), (3x + 1).$$ a) $$5$$ b) $$7$$ c) $$8$$ d) $$6$$ $$\text{Apply the Pythagorean theorem and solve for } x = 5.$$ 3 / 50 Category: Jamb Mathematics 2021 3. $$\text{The perimeter of a rectangular lawn is 24 m, and the area is 35 m². Find the width of the lawn.}$$ a) $$5 \, \text{m}$$ b) $$12 \, \text{m}$$ c) $$10 \, \text{m}$$ d) $$14 \, \text{m}$$ $$\text{Use the perimeter and area formula to find the width as } 5 \, \text{m}.$$ 4 / 50 Category: Jamb Mathematics 2021 4. $$\text{Simplify } \frac{x}{x+y} + \frac{y}{(x-y)} – \frac{x^2}{(x^2 – y^2)}.$$ a) $$\frac{x}{x^2 – y}$$ b) $$\frac{x}{x – y}$$ c) $$\frac{y^2}{x}$$ d) $$\frac{y}{x}$$ $$\text{Simplify the expression to get } \frac{y}{x}.$$ 5 / 50 Category: Jamb Mathematics 2021 5. $$\text{Given that } x^2 + y^2 + z^2 = 194, \text{ find } z \text{ if } x = 7 \text{ and } y = 3.$$ a) $$\sqrt{10}$$ b) $$8$$ c) $$12.2$$ d) $$13.4$$ $$\text{Substitute into the equation to get } z = 8.$$ 6 / 50 Category: Jamb Mathematics 2021 6. $$\text{Find the sum of the first twenty terms of the arithmetic progression } \log a, \log a^2, \log a^3.$$ a) $$\log a^{20}$$ b) $$\log a^{21}$$ c) $$\log a^{200}$$ d) $$\log a^{210}$$ $$\text{The sum is } \log a^{20}.$$ 7 / 50 Category: Jamb Mathematics 2021 7. $$\text{A carpenter charges #40.00 per day for himself and #10.00 per day for his assistant. If the total charge for 10 days was #2,000.00, how much did the assistant receive?}$$ a) $$#32.00$$ b) $$#320.00$$ c) $$#400.00$$ d) $$#420.00$$ $$\text{The assistant received #320.00.}$$ 8 / 50 Category: Jamb Mathematics 2021 8. $$\text{Find the sum of the first 18 terms of the progression } 3, 6, 12, \dots.$$ a) $$3(2^{18} – 1)$$ b) $$3(2^{18} + 1)$$ c) $$3(2^{17} + 1)$$ d) $$3(2^{17} – 1)$$ $$\text{Use the sum formula for a geometric progression to get the sum.}$$ 9 / 50 Category: Jamb Mathematics 2021 9. $$\text{What is the equation of the quadratic function represented by the graph above?}$$ a) $$y = x^2 + x – 2$$ b) $$y = x^2 – x – 2$$ c) $$y = x^2 – x + 2$$ d) $$y = x^2 + x + 2$$ $$\text{The equation is } y = x^2 + x – 2.$$ 10 / 50 Category: Jamb Mathematics 2021 10. $$\text{At what value of } x \text{ is the function } x^2 + x + 1 \text{ minimum?}$$ a) $$-1$$ b) $$-\frac{1}{2}$$ c) $$\frac{1}{2}$$ d) $$1$$ $$\text{The minimum occurs at } x = -\frac{1}{2}.$$ 11 / 50 Category: Jamb Mathematics 2021 11. $$\text{In the diagram above, the area of } PQRS \text{ is } 73.5 \, \text{cm}^2 \text{ and the height is } 10.5 \, \text{cm}. \text{ Find the length of } PS \text{ if } QR = \frac{1}{3} PS.$$ a) $$21 \, \text{cm}$$ b) $$17\frac{1}{4} \, \text{cm}$$ c) $$14 \, \text{cm}$$ d) $$10\frac{1}{2} \, \text{cm}$$ $$\text{Using the area formula, the length of } PS = 21 \, \text{cm}.$$ 12 / 50 Category: Jamb Mathematics 2021 12. $$\text{The angle of a sector of a circle, radius 10.5 cm, is 48°. Calculate the perimeter of the sector.}$$ a) $$8.8 \, \text{cm}$$ b) $$25.4 \, \text{cm}$$ c) $$25.6 \, \text{cm}$$ d) $$29.8 \, \text{cm}$$ $$\text{The perimeter of the sector is } 25.4 \, \text{cm}.$$ 13 / 50 Category: Jamb Mathematics 2021 13. $$\text{In the figure above, } PS = QS \text{ and } \angle QSR = 100^\circ, \text{ find } \angle QPR.$$ a) $$40^\circ$$ b) $$50^\circ$$ c) $$80^\circ$$ d) $$100^\circ$$ $$\text{Using angle relationships, } \angle QPR = 40^\circ.$$ 14 / 50 Category: Jamb Mathematics 2021 14. $$\text{In triangle } XYZ \text{ and } XQP, XP = 4 \, \text{cm}, XQ = 5 \, \text{cm} \text{ and } PQ = QY = 3 \, \text{cm}. \text{ Find } ZY.$$ a) $$8 \, \text{cm}$$ b) $$6 \, \text{cm}$$ c) $$4 \, \text{cm}$$ d) $$3 \, \text{cm}$$ $$\text{Using the cosine rule, } ZY = 8 \, \text{cm}.$$ 15 / 50 Category: Jamb Mathematics 2021 15. $$\text{Find the length of a side of a rhombus whose diagonals are 6 cm and 8 cm.}$$ a) $$8 \, \text{cm}$$ b) $$5 \, \text{cm}$$ c) $$6 \, \text{cm}$$ d) $$3 \, \text{cm}$$ $$\text{The side length of the rhombus is } 5 \, \text{cm}.$$ 16 / 50 Category: Jamb Mathematics 2021 16. $$\frac{4^{3/4} – 6^{1/4}}{(4^{1/4} \cdot 1^{1/4})}$$ a) $$-\frac{7}{7}$$ b) $$-\frac{2}{7}$$ c) $$-\frac{10}{21}$$ d) $$\frac{10}{21}$$ $$\text{Simplify the expression using exponent rules, the final value is } -\frac{2}{7}.$$ 17 / 50 Category: Jamb Mathematics 2021 17. $$\text{The H.C.F. of } a^2bx + abx^2 \text{ and } a^2b – b^3 \text{ is}$$ a) $$ab^2(a – b)$$ b) $$a + b$$ c) $$a + b$$ d) $$a(a + b)$$ $$\text{Factor the two expressions and simplify to find the HCF: } a(a + b).$$ 18 / 50 Category: Jamb Mathematics 2021 18. $$\text{Correct } 241.34 \times (3 \times 10^3) \text{ to 4 significant figures.}$$ a) $$0.0014$$ b) $$0.001448$$ c) $$0.0022$$ d) $$0.002172$$ $$\text{When simplified, this is } 0.002172.$$ 19 / 50 Category: Jamb Mathematics 2021 19. $$\text{At what rate would a sum of #100.00 deposited for 5 years rise an interest of #7.50?}$$ a) $$1 \frac{1}{2} \%$$ b) $$2 \frac{1}{2} \%$$ c) $$15\%$$ d) $$25\%$$ $$\text{Use the simple interest formula to find the rate as } 2.5\%.$$ 20 / 50 Category: Jamb Mathematics 2021 20. $$\text{Three children shared a basket of mangoes. The first child took } \frac{1}{4} \text{ of the mangoes, the second took } \frac{3}{4} \text{ of the remainder. What fraction did the third child take?}$$ a) $$\frac{3}{16}$$ b) $$\frac{7}{16}$$ c) $$\frac{9}{16}$$ d) $$\frac{5}{16}$$ $$\text{The third child took } \frac{7}{16}.$$ 21 / 50 Category: Jamb Mathematics 2021 21. $$\frac{(0.00275 \times 0.00640)}{(0.025 \times 0.08)}$$ a) $$8.8 \times 10^8$$ b) $$8.8 \times 10^2$$ c) $$8.8 \times 10^{-3}$$ d) $$8.8 \times 10^3$$ $$\text{Simplify and express in standard form: } 8.8 \times 10^{-3}.$$ 22 / 50 Category: Jamb Mathematics 2021 22. $$\text{Three brothers shared the profit in the ratio: 1/3, 2/3, and 12, find the total profit.}$$ a) $$60,000$$ b) $$54,000$$ c) $$48,000$$ d) $$42,000$$ $$\text{Using the ratio, the total profit is } 60,000.$$ 23 / 50 Category: Jamb Mathematics 2021 23. $$\sqrt{160r^2 + v} / (71r^4 + \sqrt{100r^3})$$ a) $$9r$$ b) $$\frac{12}{r}$$ c) $$\frac{13}{r}$$ d) $$\sqrt{13r}$$ $$\text{Simplify and find the result as } \frac{13}{r}.$$ 24 / 50 Category: Jamb Mathematics 2021 24. $$\sqrt{27 + \frac{3}{3}}$$ a) $$4/3$$ b) $$4/3$$ c) $$3/3$$ d) $$3/4$$ $$\text{Simplify the expression to get } 4/3.$$ 25 / 50 Category: Jamb Mathematics 2021 25. $$3 \log 9 + \log_{12} + \log 64 – \log 72$$ a) $$5$$ b) $$7776$$ c) $$\log 31$$ d) $$7776^6$$ $$\text{Simplifying gives: } 7776.$$ 26 / 50 Category: Jamb Mathematics 2021 26. $$\left(1 + \frac{1}{1}\right)^{-1}$$ a) $$x-1 y'$$ b) $$xy$$ c) $$y/x$$ d) $$xy$$ $$\text{Simplifying gives: } 1.$$ 27 / 50 Category: Jamb Mathematics 2021 27. $$\text{If } a = 2, b = -2, c = -\frac{1}{2}, \text{ evaluate } (ab^2 – bc^2)(a^2c – abc).$$ a) $$0$$ b) $$28$$ c) $$-30$$ d) $$34$$ $$\text{Simplify and evaluate to get } -30.$$ 28 / 50 Category: Jamb Mathematics 2021 28. $$Y \text{ varies inversely as } x^2 \text{ and } X \text{ varies directly as } Z^2. \text{ Find the relationship between } Y \text{ and } Z.$$ a) $$Zy = C$$ b) $$Y = C/Z$$ c) $$Y = CZ$$ d) $$Y = C$$ $$\text{The relationship is } Y = \frac{C}{Z}.$$ 29 / 50 Category: Jamb Mathematics 2021 29. $$\text{Find } r \text{ in terms of } p \text{ and } q \text{ in } P = \frac{r}{r+q}.$$ a) $$r = p$$ b) $$p = r$$ c) $$r = q$$ d) $$p = q$$ $$\text{Solve for } r = \frac{p \cdot q}{p – q}.$$ 30 / 50 Category: Jamb Mathematics 2021 30. $$\text{If } f(x-4) = x^2 + 2x + 3, \text{ find } f(2).$$ a) $$6$$ b) $$11$$ c) $$12$$ d) $$15$$ $$\text{Substitute into the function to get } f(2) = 11.$$ 31 / 50 Category: Jamb Mathematics 2021 31. $$\text{Factorize } 9x + y^2 – 4(x – y)^2.$$ a) $$ (x + y) (5x + y) $$ b) $$ (x + y) (5x – y) $$ c) $$ (x + y)^2 $$ d) $$ (5x+y)^2 $$ $$\text{Factorizing gives: } (x + y)(5x – y).$$ 32 / 50 Category: Jamb Mathematics 2021 32. $$\text{Find the value of } r \text{ in terms of } p \text{ and } q \text{ in } P = \frac{r}{r + q}.$$ a) $$r = p$$ b) $$p = r$$ c) $$r = q$$ d) $$p = q$$ $$\text{Rearrange to solve for } r = \frac{p \cdot q}{p – q}.$$ 33 / 50 Category: Jamb Mathematics 2021 33. $$\text{Simplify } \frac{x}{x + y} + \frac{y}{x – y} – \frac{x^2}{x^2 – y^2}.$$ a) $$\frac{x}{x^2 – y}$$ b) $$\frac{x}{x – y}$$ c) $$\frac{y^2}{x}$$ d) $$\frac{y}{x}$$ $$\text{Use the common denominator method to simplify the expression. The result is } \frac{x}{x – y}.$$ 34 / 50 Category: Jamb Mathematics 2021 34. $$\text{If } x = 4, \text{ find } 2 + \frac{1}{x}.$$ a) $$6$$ b) $$4$$ c) $$5$$ d) $$12$$ $$\text{Substitute } x = 4 \text{ into the expression to get } 2 + \frac{1}{4} = 2.25.$$ 35 / 50 Category: Jamb Mathematics 2021 35. $$\text{What must be added to } 4x^2 – 4 \text{ to make it a perfect square?}$$ a) $$1$$ b) $$4/x$$ c) $$4/x$$ d) $$-1$$ $$\text{To make it a perfect square, add } 1.$$ 36 / 50 Category: Jamb Mathematics 2021 36. $$\text{Solve } x – 8 \times 15 = 0.$$ a) $$3, 5$$ b) $$-3, -5$$ c) $$9, 25$$ d) $$-9, 25$$ $$\text{Simplify and solve for } x = 8 \times 15 = 120.$$ 37 / 50 Category: Jamb Mathematics 2021 37. $$\text{Find } x \text{ in the right-angled triangle with sides } x, (3x – 1), (3x + 1).$$ a) $$5$$ b) $$7$$ c) $$8$$ d) $$6$$ $$\text{Apply the Pythagorean theorem and solve for } x = 5.$$ 38 / 50 Category: Jamb Mathematics 2021 38. $$\text{The perimeter of a rectangular lawn is 24 m, and the area is 35 m². Find the width of the lawn.}$$ a) $$5 \, \text{m}$$ b) $$12 \, \text{m}$$ c) $$10 \, \text{m}$$ d) $$14 \, \text{m}$$ $$\text{Use the perimeter and area formula to find the width as } 5 \, \text{m}.$$ 39 / 50 Category: Jamb Mathematics 2021 39. $$\text{Simplify } \frac{x}{x+y} + \frac{y}{(x-y)} – \frac{x^2}{(x^2 – y^2)}.$$ a) $$\frac{x}{x^2 – y}$$ b) $$\frac{x}{x – y}$$ c) $$\frac{y^2}{x}$$ d) $$\frac{y}{x}$$ $$\text{Simplify the expression to get } \frac{y}{x}.$$ 40 / 50 Category: Jamb Mathematics 2021 40. $$\text{Given that } x^2 + y^2 + z^2 = 194, \text{ find } z \text{ if } x = 7 \text{ and } y = 3.$$ a) $$\sqrt{10}$$ b) $$8$$ c) $$12.2$$ d) $$13.4$$ $$\text{Substitute into the equation to get } z = 8.$$ 41 / 50 Category: Jamb Mathematics 2021 41. $$\text{Find the sum of the first twenty terms of the arithmetic progression } \log a, \log a^2, \log a^3.$$ a) $$\log a^{20}$$ b) $$\log a^{21}$$ c) $$\log a^{200}$$ d) $$\log a^{210}$$ $$\text{The sum is } \log a^{20}.$$ 42 / 50 Category: Jamb Mathematics 2021 42. $$\text{A carpenter charges #40.00 per day for himself and #10.00 per day for his assistant. If the total charge for 10 days was #2,000.00, how much did the assistant receive?}$$ a) $$#32.00$$ b) $$#320.00$$ c) $$#400.00$$ d) $$#420.00$$ $$\text{The assistant received #320.00.}$$ 43 / 50 Category: Jamb Mathematics 2021 43. $$\text{Find the sum of the first 18 terms of the progression } 3, 6, 12, \dots.$$ a) $$3(2^{18} – 1)$$ b) $$3(2^{18} + 1)$$ c) $$3(2^{17} + 1)$$ d) $$3(2^{17} – 1)$$ $$\text{Use the sum formula for a geometric progression to get the sum.}$$ 44 / 50 Category: Jamb Mathematics 2021 44. $$\text{What is the equation of the quadratic function represented by the graph above?}$$ a) $$y = x^2 + x – 2$$ b) $$y = x^2 – x – 2$$ c) $$y = x^2 – x + 2$$ d) $$y = x^2 + x + 2$$ $$\text{The equation is } y = x^2 + x – 2.$$ 45 / 50 Category: Jamb Mathematics 2021 45. $$\text{At what value of } x \text{ is the function } x^2 + x + 1 \text{ minimum?}$$ a) $$-1$$ b) $$-\frac{1}{2}$$ c) $$\frac{1}{2}$$ d) $$1$$ $$\text{The minimum occurs at } x = -\frac{1}{2}.$$ 46 / 50 Category: Jamb Mathematics 2021 46. $$\text{In the diagram above, the area of } PQRS \text{ is } 73.5 \, \text{cm}^2 \text{ and the height is } 10.5 \, \text{cm}. \text{ Find the length of } PS \text{ if } QR = \frac{1}{3} PS.$$ a) $$21 \, \text{cm}$$ b) $$17\frac{1}{4} \, \text{cm}$$ c) $$14 \, \text{cm}$$ d) $$10\frac{1}{2} \, \text{cm}$$ $$\text{Using the area formula, the length of } PS = 21 \, \text{cm}.$$ 47 / 50 Category: Jamb Mathematics 2021 47. $$\text{The angle of a sector of a circle, radius 10.5 cm, is 48°. Calculate the perimeter of the sector.}$$ a) $$8.8 \, \text{cm}$$ b) $$25.4 \, \text{cm}$$ c) $$25.6 \, \text{cm}$$ d) $$29.8 \, \text{cm}$$ $$\text{The perimeter of the sector is } 25.4 \, \text{cm}.$$ 48 / 50 Category: Jamb Mathematics 2021 48. $$\text{In the figure above, } PS = QS \text{ and } \angle QSR = 100^\circ, \text{ find } \angle QPR.$$ a) $$40^\circ$$ b) $$50^\circ$$ c) $$80^\circ$$ d) $$100^\circ$$ $$\text{Using angle relationships, } \angle QPR = 40^\circ.$$ 49 / 50 Category: Jamb Mathematics 2021 49. $$\text{In triangle } XYZ \text{ and } XQP, XP = 4 \, \text{cm}, XQ = 5 \, \text{cm} \text{ and } PQ = QY = 3 \, \text{cm}. \text{ Find } ZY.$$ a) $$8 \, \text{cm}$$ b) $$6 \, \text{cm}$$ c) $$4 \, \text{cm}$$ d) $$3 \, \text{cm}$$ $$\text{Using the cosine rule, } ZY = 8 \, \text{cm}.$$ 50 / 50 Category: Jamb Mathematics 2021 50. $$\text{Find the length of a side of a rhombus whose diagonals are 6 cm and 8 cm.}$$ a) $$8 \, \text{cm}$$ b) $$5 \, \text{cm}$$ c) $$6 \, \text{cm}$$ d) $$3 \, \text{cm}$$ $$\text{The side length of the rhombus is } 5 \, \text{cm}.$$ Your score is The average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Anonymous feedback Send feedback
