Jamb Mathematics 2017

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JAMB Mathematics 2017

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1 / 47

Simplify (3√64a3)^{−1}

2 / 47

If α and β are the roots of the equation 3x2 + bx − 2 = 0. Find the value of \frac{1}{\alpha}+ \frac{1}{\beta}

3 / 47

In how many ways can the word MACICITA be arranged?

4 / 47

Simplify 4\sqrt{27} + 5\sqrt{12} − 3\sqrt{75}

5 / 47

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

6 / 47

If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q

7 / 47

Make S the subject of the relation
p = s + \frac{sm^2}{nr}

8 / 47

In how many ways can the word MATHEMATICS be arranged?

9 / 47

What is the next number in the series 2, 1, \frac{1}{2}, \frac{1}{4}...

10 / 47

In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

11 / 47

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

12 / 47

The locus of a point which is equidistant from the line PQ forms a

13 / 47

y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

14 / 47

Find the sum to infinity of the series
\frac{1}{4}, \frac{1}{8}, \frac{1}{16},..........

15 / 47

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

16 / 47

The base in which the operation was performed was

17 / 47

Given T = {even numbers from 1 to 12}
N = {common factors of 6, 8 and 12} Find T, N

18 / 47

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

19 / 47

The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base
π = \frac{22}{7}

20 / 47

Given m = \frac{\sqrt{SL}}{T} make T the subject of the formula

21 / 47

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

22 / 47

Evaluate \frac{0.00000231}{0.007} and leave the answer in standard form

23 / 47

The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1

24 / 47

If U = {x : x is an integer and 1 ≤ x ≤ }
E1 = {x: x is a multiple of 3}
E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

25 / 47

Find the gradient of the line joining the points (3, 2) and (1, 4)

26 / 47

A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

27 / 47

If \frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}= m + n √ 6,

find the values of m and n respectively

28 / 47

Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N

29 / 47

If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4

30 / 47

In the figure, find x

31 / 47

Evaluate 1 - (\frac{1}{5} x \frac{2}{3}) + ( 5 + \frac{2}{3})

32 / 47

Simplify 3 ^{n − 1}× 27 \frac{n + 1}{81^n}

33 / 47

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60o

34 / 47

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

35 / 47

Evaluate (sin45o + sin3o ) in surd form

36 / 47

The value of x + x ( xx) when x = 2 is

37 / 47

Find ∫(x2 + 3x − 5)dx

38 / 47

What is the product of 2x2 − x + 1 and 3 − 2x

39 / 47

In the diagram below MN is a chord of a circle KMN centre O and radius 10cm. If

40 / 47

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

41 / 47

Divide 4x3 - 3x + 1 by 2x - 1

42 / 47

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

43 / 47

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

44 / 47

Find the number of ways that the letters of the word EXCELLENCE be arranged

45 / 47

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

46 / 47

Factorize completely x2 + 12xy + y + 3x + 3y - 18

47 / 47

If y = x Sin x, find \frac{dy}{dx} when x = \frac{\pi}{2}

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