2017 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS

Report a question

You cannot submit an empty report. Please add some details.
0%
0 votes, 0 avg
Created by Jamb Tutor

JAMB Mathematics

2017 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS

1 / 50

Category: Jamb Mathematics 2017

1. $$\text{Make } y \text{ the subject of the formula } Z = \sqrt{\frac{2R + 1}{3R(3RT)}}.$$

2 / 50

Category: Jamb Mathematics 2017

2. $$\text{A solid consists of a hemisphere surmounted by a right circular cone with radius }3.0 \text{ cm and height }6.0 \text{ cm. Find the volume of the solid.}$$

3 / 50

Category: Jamb Mathematics 2017

3. $$\text{In a class of 150 students, the sector in a pie chart representing the students offering Physics has an angle of }12^\circ. \text{ How many students are offering Physics?}$$

4 / 50

Category: Jamb Mathematics 2017

4. $$\text{In the distribution table below, find the mode and median.}$$

5 / 50

Category: Jamb Mathematics 2017

5. $$\text{Two numbers are removed at random from the numbers }1, 2, 3, \text{ and }4. \text{ What is the probability that the sum of the numbers removed is even?}$$

6 / 50

Category: Jamb Mathematics 2017

6. $$\text{If two dice are thrown together, what is the probability of obtaining at least a score of }10?$$

7 / 50

Category: Jamb Mathematics 2017

7. $$\text{Solve the quadratic equation }x^2 -5x +6 \geq 0.$$

8 / 50

Category: Jamb Mathematics 2017

8. $$\text{Find the gradient of a line which is perpendicular to the line with equation }3x + 2y +1 =0.$$

9 / 50

Category: Jamb Mathematics 2017

9. $$\text{Evaluate } \int_{-2}^{2} \cos x \, dx.$$

10 / 50

Category: Jamb Mathematics 2017

10. $$\text{Find the perimeter of the sector of a circle with radius }10.5 \text{ cm and angle }100^\circ.$$

11 / 50

Category: Jamb Mathematics 2017

11. $$\text{What is the equation of the line that passes through }(0,5) \text{ and }(5,0)?$$

12 / 50

Category: Jamb Mathematics 2017

12. $$\text{In a class of 60 students, 30 offer physics and 40 offer chemistry. If a student is picked at random from the class, what is the probability that the student offers both physics and chemistry?}$$

13 / 50

Category: Jamb Mathematics 2017

13. $$\text{If } \dfrac{dy}{dx} = 2x – 3 \text{ and } y = 3 \text{ when } x = 0, \text{ find } y \text{ in terms of } x.$$

14 / 50

Category: Jamb Mathematics 2017

14. $$\text{If } P = \begin{pmatrix} 2 & 1 \ -3 & 0 \end{pmatrix} \text{ and } I \text{ is a } 2 \times 2 \text{ unit matrix. Evaluate } P^2 – 2P + 41I.$$

15 / 50

Category: Jamb Mathematics 2017

15. $$\text{Find the value of } x \text{ if the line } 2y – ax + 4 = 0 \text{ is perpendicular to the line } y + \dfrac{1}{4} x – 1 = 0.$$

16 / 50

Category: Jamb Mathematics 2017

16. $$\text{The graph of the function } y = x^2 + 4 \text{ and a straight line } PQ \text{ are drawn to solve the equation } x^2 – 3x + 2 = 0. \text{ What is the equation of the line } PQ?$$

17 / 50

Category: Jamb Mathematics 2017

17. $$\text{If } \dfrac{\pi}{2} \leq \theta < 2\pi, \text{ find the maximum value of } f(\theta) = 6 + 2\cos 5\theta.$$

18 / 50

Category: Jamb Mathematics 2017

18. $$\text{On a pie chart, there are four sectors with angles } 45^\circ,\ 90^\circ,\ 35^\circ, \text{ and an unknown angle. If the smallest sector represents } ₦28.00, \text{ how much is the largest sector?}$$

19 / 50

Category: Jamb Mathematics 2017

19. $$\text{The result of tossing a fair die 120 times is summarized above. Find the value of } x.$$

20 / 50

Category: Jamb Mathematics 2017

20. $$\text{Given } \mu = \{\text{even numbers between } 0 \text{ and } 30\},\ P = \{\text{multiples of } 6 \text{ between } 0 \text{ and } 30\},\ Q = \{\text{multiples of } 4 \text{ between } 0 \text{ and } 30\},\ \text{Find } P \cup Q.$$

21 / 50

Category: Jamb Mathematics 2017

21. $$\begin{array}{cccc} & 4 & 2 & 4 & 3 \ – & -1 & 3 & x & 4 \ \hline & y & 3 & 4 & 4 \end{array}\ \text{Find } x \text{ and } y \text{ respectively in the subtraction above carried out in base 5.}$$

22 / 50

Category: Jamb Mathematics 2017

22. $$\text{Factorize completely } x^2 – (a^2 + 4b^2).$$

23 / 50

Category: Jamb Mathematics 2017

23. $$\text{PQRSTN is a regular polygon of side } 7 \text{ cm inscribed in a circle. Find the circumference of the circle } PQRSTV.$$

24 / 50

Category: Jamb Mathematics 2017

24. $$\text{The shadow of a pole } 5\sqrt{3} \text{ m high is } 5.5 \text{ m. Find the angle of elevation of the sun.}$$

25 / 50

Category: Jamb Mathematics 2017

25. $$\text{The pie chart above shows the distribution of the crops harvested from a farmland in a year. If } 3000 \text{ tonnes of millet is harvested, what amount of beans is harvested?}$$

26 / 50

Category: Jamb Mathematics 2017

26. $$\text{A container has } 30 \text{ gold medals, } 22 \text{ silver medals, and } 18 \text{ bronze medals. If one medal is selected at random, what is the probability that it is not a gold medal?}$$

27 / 50

Category: Jamb Mathematics 2017

27. $$\text{A polynomial in } x \text{ whose zeros are } -2,\ -1,\ \text{and } 3 \text{ is}.$$

28 / 50

Category: Jamb Mathematics 2017

28. $$\text{If } M \text{ and } N \text{ are two matrices defined by } M = \begin{pmatrix} 1 & 3 & 2 \ 4 & 5 & -1 \ 1 & -2 & 3 \end{pmatrix} \text{ and } N = \begin{pmatrix} 4 & -1 & 5 \ 2 & -3 & -1 \ -1 & 12 & 5 \end{pmatrix}, \text{ evaluate } 2M – 3N.$$

29 / 50

Category: Jamb Mathematics 2017

29. $$\text{From the diagram above, find the bearing of } R \text{ from } S.$$

30 / 50

Category: Jamb Mathematics 2017

30. $$\text{The mean height and range of heights } 1.35,\ 1.25,\ 1.35,\ 1.40,\ 1.35,\ 1.45,\ 1.50,\ 1.35,\ 1.50,\ \text{and } 1.20 \text{ are } m \text{ and } r \text{ respectively. Find } m + 2r.$$

31 / 50

Category: Jamb Mathematics 2017

31. $$\text{What is the probability that an integer } x,\ 1 \leq x \leq 20, \text{ chosen at random is divisible by both } 2 \text{ and } 3?$$

32 / 50

Category: Jamb Mathematics 2017

32. $$\text{A trader bought goats for } ₦4000 \text{ each. He sold them for } ₦180,000 \text{ at a loss of } 25\%. \text{ How many goats did he buy?}$$

33 / 50

Category: Jamb Mathematics 2017

33. $$\text{Evaluate } \dfrac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}.$$

34 / 50

Category: Jamb Mathematics 2017

34. $$\text{In the diagram above, } PST \text{ is a straight line, } PQ = QS = RS. \text{ If } \angle RST = 72^\circ, \text{ find } x.$$

35 / 50

Category: Jamb Mathematics 2017

35. $$\text{If } \tan \theta = 4\sqrt{3}, \text{ calculate } \sin^2 \theta – \cos^2 \theta.$$

36 / 50

Category: Jamb Mathematics 2017

36. $$\text{A man invested } ₦5,000 \text{ for 9 months at } 4\%. \text{ What is the simple interest?}$$

37 / 50

Category: Jamb Mathematics 2017

37. $$\text{Rationalize } \dfrac{2 – \sqrt{5}}{3 – \sqrt{5}}.$$

38 / 50

Category: Jamb Mathematics 2017

38. $$\text{Factorize completely } 9y^2 -16x^2.$$

39 / 50

Category: Jamb Mathematics 2017

39. $$\text{Solve the inequalities } x^2 + 2x > 15.$$

40 / 50

Category: Jamb Mathematics 2017

40. $$\text{A circle of perimeter } 28 \text{ cm is opened to form a square. What is the maximum possible area of the square?}$$

41 / 50

Category: Jamb Mathematics 2017

41. $$\text{If two graphs } y = px^2 + q \text{ and } y = 2x^2 -1 \text{ intersect at } x = 2. \text{ Find the value of } p \text{ in terms of } q.$$

42 / 50

Category: Jamb Mathematics 2017

42. $$\text{A straight line makes an angle of } 30^\circ \text{ with the positive } x\text{-axis and cuts the } y\text{-axis at } y = 5. \text{ Find the equation of the straight line.}$$

43 / 50

Category: Jamb Mathematics 2017

43. $$\text{Find the area bounded by the curves } y = 4 – x^2 \text{ and } y = 2x + 1.$$

44 / 50

Category: Jamb Mathematics 2017

44. $$\text{Teams } P \text{ and } Q \text{ are involved in a game of football. What is the probability that the game ends in a draw?}$$

45 / 50

Category: Jamb Mathematics 2017

45. $$\text{Find without using a logarithm table the value of } \log_3 27 – \log_1 64 \div \log_{\frac{1}{81}}.$$

46 / 50

Category: Jamb Mathematics 2017

46. $$\text{In the figure below, determine the angle marked } y.$$

47 / 50

Category: Jamb Mathematics 2017

47. $$\text{The bar chart above shows the mark distribution in a class test. Find the number of students in the class.}$$

48 / 50

Category: Jamb Mathematics 2017

48. $$\text{What is the volume of the regular three-dimensional figure drawn above?}$$

49 / 50

Category: Jamb Mathematics 2017

49. $$\text{Find the remainder when } x^3 – 2x^2 + 3x – 3 \text{ is divided by } x^2 + 1.$$

50 / 50

Category: Jamb Mathematics 2017

50. $$\text{In a class of } 60 \text{ students, } 30 \text{ offer Physics and } 40 \text{ offer Chemistry. If a student is picked at random from the class, what is the probability that the student offers both Physics and Chemistry?}$$

Your score is

The average score is 0%

0%

Leave a Comment

Your email address will not be published. Required fields are marked *

error: Content is protected !!