Maths JAMB CBT 2017

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1. Given T = { even numbers from 1 to 12 }

N = {common factors of 6, 8 and 12}

Find T ∩ N

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2. What is the next number in the series 2, 1, 1/2, 1/4

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3. 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

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4. The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base. π = 22/7

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

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6. Evaluate (sin45 + sin3 ) in surd form

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7. If y = x Sin x, find dy/dx when x = π/2

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8. If temperature t is directly proportional to heat h, and when t = 20^{o}C, h = 50 J, find t when h = 60J

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9. Evaluate 1 – ( 1/5 x 2/3) + ( 5 + 2/3)

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10. Given m = N (^{√SL}/_{T} ) make T the subject of theformula

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11. Simplify 3^{n-1} × 27^{n+1/}81^{n}

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12. The locus of a point which is equidistant fromthe line PQ forms a

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

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14. Given the quadrilateral RSTO inscribed in the circlewith O as centre. Find the size angle x and givenRST = 60 degrees

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15. Find the sum of the range and the mode of theset 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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16. Find the sum to infinity of the series 1/4, 1/8, 1/16,……….

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17. The base in which the operation was performed was

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18. The value of x + x ( x ^{x} ) when x = 2 is

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19. In a regular polygon, each interior angle doublesits corresponding exterior angle. Find the number ofsides of the polygon

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20. A cylindrical tank has a capacity of 3080m ^{3} .What is the depth of the tank if the diameter of itsbase is 14m? Take pi = 22/7.

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21. Simplify 4 √27 + 5 √12 − 3√75

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22. A man covered a distance of 50 miles on his firsttrip, on a later trip he traveled 300 miles while going3 times as fast. His new time compared with the olddistance was?

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23. In the figure, find x

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24. Divide 4x ^{3} – 3x + 1 by 2x – 1

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25. A car dealer bought a second-hand car for of250,000 and spent N 70,000 refurbishing it. He thensold the car for N400,000. What is the percentagegain?

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26. Find the number of ways that the letters of theword EXCELLENCE be arranged

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27. Evaluate (0.00000231/0.07) and leave the answer instandard form

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

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29. Find the principal which amounts to ₦ 5,500 at asimple interest in 5 years at 2% per annum

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30. The pie chart shows the allocation of money to eachsector in a farm. The total amount allocated to thefarm is ₦ 80 000. Find the amount allocated tofertilizer

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31. In how many ways can the wordMATHEMATICS be arranged?

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32. In how many ways can the word MACICITA bearranged?

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

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

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

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36. Find ∫(x 2 + 3x − 5)dx

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

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38. Factorize completely x ^{2} + 12xy + y + 3x + 3y -18

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39. Make S the subject of the relation, p = s + (sm^{2} /nr)

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

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

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42. Simplify (3√64a ^{3} )^{−1}

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44. If (2√3 – √2 / √3 + 2√2) = m + n√6,

find the values of m and n respectively

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44. If α and β are the roots of the equation 3x 2 + bx – 2 = 0.

Find the value of 1/α + 1/β

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45. Find the range of the following set of numbers0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

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46. Evaluate 1 − ( 1/5 + 1^{2/3} ) + (5 + 1^{2/3} )

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47. What is the product of 2x ^{2} − x + 1 and 3 − 2x

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