2014 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS

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JAMB Mathematics

2014 JAMB MATHEMATICS PAST QUESTIONS AND ANSWERS

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Category: JAMB Mathematics 2014

1. Find the value of $1101112 + 101002$

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Category: JAMB Mathematics 2014

2. A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

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Category: JAMB Mathematics 2014

3. Express the product of 0.00043 and 2000 in standard form.

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Category: JAMB Mathematics 2014

4. A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

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Category: JAMB Mathematics 2014

5. If $\log7.5 = 0.8751$, evaluate $2 \log75 + \log750$

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Category: JAMB Mathematics 2014

6. Solve for x in $8^{x-2} = \frac{2}{25}$

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Category: JAMB Mathematics 2014

7. Simplify $\frac{\sqrt{2}-\sqrt{3}}{\sqrt{2}+\sqrt{3}}$

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Category: JAMB Mathematics 2014

8. Evaluate $\log_2 8 + \log_2 16 – \log_2 4$

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Category: JAMB Mathematics 2014

9. If P = {1,2,3,4,5} and $P \cup Q$ = {1,2,3,4,5,6,7}, list the elements in Q

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Category: JAMB Mathematics 2014

10. If $gt^2 – k – w = 0$, make g the subject of the formula

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Category: JAMB Mathematics 2014

11. Factorize $2y^2 – 15xy + 18x^2$

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Category: JAMB Mathematics 2014

12. Find the value of k if y – 1 is a factor of $y^3 + 4y^2+ ky – 6$

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Category: JAMB Mathematics 2014

13. y varies directly as $w^2$. When y = 8, w = 2. Find y when w = 3

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Category: JAMB Mathematics 2014

14. P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

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Category: JAMB Mathematics 2014

15. What is the solution of $\frac{x-5}{x+3}<-1$?

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Category: JAMB Mathematics 2014

16. Evaluate the inequality $\frac{x^2+3}{4} \leq \frac{5x}{6}-\frac{7}{12}$

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Category: JAMB Mathematics 2014

17. The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

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Category: JAMB Mathematics 2014

18. What is the common ratio of the G.P. $(\sqrt{10}+\sqrt{5})+(\sqrt{10}+2\sqrt{5})+…$

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Category: JAMB Mathematics 2014

19. A binary operation * is defined by x * y = xy. If x * 2 = 12 – x, find the possible values of x

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Category: JAMB Mathematics 2014

20. Find y, if $\begin{pmatrix} 5 & -6 \ -7 & 2 \end{pmatrix}\begin{pmatrix} x \ y \end{pmatrix}=\begin{pmatrix} 7 \ -11 \end{pmatrix}$

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Category: JAMB Mathematics 2014

21. If $\begin{vmatrix} -x & -1 \ 12 & 4 \end{vmatrix}=-12$, find x.

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Category: JAMB Mathematics 2014

22. Find the value of \( \begin{vmatrix} 0 & 1 & 0 \\ 3 & 7 & 5 \\ 2 & 8 & 4 \end{vmatrix} \)

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Category: JAMB Mathematics 2014

23. How many sides has a regular polygon whose interior angle is 135°?

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Category: JAMB Mathematics 2014

24. A cylindrical tank has a capacity of 6160m³. What is the depth of the tank if the radius of its base is 28cm?

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Category: JAMB Mathematics 2014

25. Find the mid point of S(-5, 4) and T(-3, -2)

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Category: JAMB Mathematics 2014

26. The gradient of a line joining (x,4) and (1,2) is $\frac{1}{2}$. Find the value of x

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Category: JAMB Mathematics 2014

27. Calculate the mid point of the line segment y – 4x + 3 = 0, which lies between the x-axis and y-axis.

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Category: JAMB Mathematics 2014

28. If $\sin\theta=\frac{12}{13}$, find the value of $\frac{1+\cos\theta}{\sin\theta}$

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Category: JAMB Mathematics 2014

29. If y = 4x³ – 2x² + x, find $\frac{dy}{dx}$

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Category: JAMB Mathematics 2014

30. If y = cos 3x, find $\frac{dy}{dx}$

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Category: JAMB Mathematics 2014

31. Find the minimum value of y = x² – 2x – 3

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Category: JAMB Mathematics 2014

32. Evaluate $\int \sin^2x dx$

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Category: JAMB Mathematics 2014

33. Evaluate $\int(2x+3)^\frac{1}{2}dx$

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Category: JAMB Mathematics 2014

34. The mean of 2 – t, 4 + t, 3 – 2t, 2 + t and t – 1 is

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Category: JAMB Mathematics 2014

35. Find the mode of the distribution: 0(1), 1(2), 2(2), 3(1), 4(9)

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Category: JAMB Mathematics 2014

36. Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

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Category: JAMB Mathematics 2014

37. Find the standard deviation of 5, 4, 3, 2, 1

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Category: JAMB Mathematics 2014

38. In how many ways can a team of 3 girls be selected from 7 girls?

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Category: JAMB Mathematics 2014

39. From frequency table of die throw (100 times), probability of obtaining at least 4

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Category: JAMB Mathematics 2014

40. Probability that a random number from 10 to 30 is divisible by 3

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Category: JAMB Mathematics 2014

41.

Venn diagram shaded parts represent

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Category: JAMB Mathematics 2014

42.

In triangle with KL//NM, LN bisects ∠KNM, ∠KLN=54°, ∠MKN=35°

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Category: JAMB Mathematics 2014

43.

Find value of p in given triangle

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Category: JAMB Mathematics 2014

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Find value of x in given right triangle

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Category: JAMB Mathematics 2014

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Find equation of line passing through (0,5) and (5,0)

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Category: JAMB Mathematics 2014

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If N8,000 spent on rice in pie chart, how much spent on yam?

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Category: JAMB Mathematics 2014

47. Find perimeter of sector with radius 10.5 cm and angle 120°

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