JAMB Mathematics 2017 test

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JAMB Mathematics 2017

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1 / 47

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

2 / 47

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

3 / 47

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

4 / 47

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

5 / 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

6 / 47

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

7 / 47

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

8 / 47

Find ∫(x2 + 3x − 5)dx

9 / 47

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

10 / 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?

11 / 47

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

12 / 47

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

13 / 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}

14 / 47

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

15 / 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

16 / 47

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

17 / 47

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

18 / 47

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

19 / 47

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

20 / 47

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

21 / 47

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

22 / 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

23 / 47

Divide 4x3 - 3x + 1 by 2x - 1

24 / 47

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

25 / 47

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

find the values of m and n respectively

26 / 47

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

27 / 47

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

28 / 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.

29 / 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?

30 / 47

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

31 / 47

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

32 / 47

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

33 / 47

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

34 / 47

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

35 / 47

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

36 / 47

In the figure, find x

37 / 47

Simplify (3√64a3)^{−1}

38 / 47

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

39 / 47

The base in which the operation was performed was

40 / 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)

41 / 47

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

42 / 47

In how many ways can the word MACICITA be arranged?

43 / 47

In how many ways can the word MATHEMATICS be arranged?

44 / 47

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

45 / 47

Evaluate (sin45o + sin3o ) in surd form

46 / 47

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

47 / 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

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