Jamb Mathematics 2017

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JAMB Mathematics 2017

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1 / 47

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

2 / 47

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

3 / 47

Simplify (3√64a3)^{−1}

4 / 47

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

5 / 47

Evaluate (sin45o + sin3o ) in surd form

6 / 47

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

7 / 47

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

find the values of m and n respectively

8 / 47

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

9 / 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

10 / 47

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

11 / 47

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

12 / 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?

13 / 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

14 / 47

In how many ways can the word MACICITA be arranged?

15 / 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

16 / 47

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

17 / 47

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

18 / 47

In how many ways can the word MATHEMATICS be arranged?

19 / 47

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

20 / 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}

21 / 47

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

22 / 47

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

23 / 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

24 / 47

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

25 / 47

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

26 / 47

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

27 / 47

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

28 / 47

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

29 / 47

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

30 / 47

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

31 / 47

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

32 / 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.

33 / 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?

34 / 47

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

35 / 47

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

36 / 47

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

37 / 47

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

38 / 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)

39 / 47

In the figure, find x

40 / 47

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

41 / 47

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

42 / 47

Find ∫(x2 + 3x − 5)dx

43 / 47

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

44 / 47

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

45 / 47

Divide 4x3 - 3x + 1 by 2x - 1

46 / 47

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

47 / 47

The base in which the operation was performed was

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