Maths

CBT JAMB maths 2015

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Category: Maths

1 In a town of 6250 inhabitants, there were 62 birthsduring 1984. Find the percentage birth rate

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2 Simplify 1¼ ÷ (2 ÷ ¼ of 28)

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3. Factorize x^2^{ }+ 9x + 20

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4 If three staff of Myschool Limited agreed to sharetheir salary arrears in the ration of their ages, which are18 years, 20 years, 22 years respectively. If the sum ofthe money collected is N120,000.00K, How much doesthe second staff received?

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5 X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7.

Find ∩{X ∪ Y}

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6 Find the x and y intercepts of the graph of 3x – z <= 9

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7 Simplify log 10 1.5 + 3 log 10 2 − log 10 0.3

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8 Find the total surface area of a cylinder of baseradius 5cm and length 7cm ( π = 3.14)

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9 If x + y = 90 simplify (sinx + siny)^2−2sinxsiny

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10 A man with an annual salary of N2000, hasallowances of N600. If Income Tax is 5%. How much taxdoes he pay each year?

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11 Solve the equation 3x^2^{ }− 4x − 5 = 0

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12 The first and last term of a linear sequence (AP) are6 and 10 respectively. If the sum of the sequence is 40.Find the number of terms

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13 Find the equation of a line which is form origin andpasses through the point (−3, −4)

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14 The amount A to which a principal P amounts at r%compound interest for n years is given by the formula A= P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2.

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15 Make x the subject of the equation, s = 2 + t/5 (x + 3/5y)

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16. If log 5 20 = x, find x

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17. Find at which rate per annum simple interest N525will amount to N588 in 3 years.

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18 Find the range of values of t which satisfies theinequality 2t − 1 3 and 2− t 5

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19. Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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20. The extension of a stretched string is directlyproportional to its tension. If the extension produced by atension of 8 Newton’s is 2cm, find the extensionproduced by a tension of 12 newton’s.

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21 Factorize x^2 – 2x – 15

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22 If A = (−3,5) and B = (4,−1) find the co-ordinate ofthe mid point

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23 Find the simple interest on N325 in 5years at 3% perannum.

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24 Simplify (0.09)^2 and give your answer correct to 4significant figures

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25. Simplify

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26 One bag contain 3 blue and 5 red balls, another bagcontain 2 blue and 4 red balls respectively. One ball isdrawn for each bag. What is the probability both balls areblue

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27 Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.Find A∩B

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28. Find x

.

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29. A man sells his new brand car for N420,000 at again of 15%. What did it cost him?

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30. Find the value of x

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31 A pipe made of metal 10cm thick has an externalradius of 11cm. find the area of metal in making 2.4cmof pipe

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32. Solve x^2 − 2x − 3 = 0

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33. The volume of a cylinder whose height is 4cm andwhose radius 5cm is equal to (π = 3.14)

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34. Solve

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35. The probability of an event A is 1/5. The probabilityof B is 1/3 . The probability both A and B is 1/15. Whatis the probability of either event A or B or both

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36. Simplify 4 √[(390695T− 8)½)]

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37. Find x

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38. A man bought a car for N800 and sold it for N520.Find his loss per cent

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39. Simplify

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40. Find the distance between the points (-2,-3) and(-2,4)

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41. Determine the third term of a geometricalprogression whose first and second term are 2 and 14respectively

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42. Given that S and T are sets of real numbers such that

S = {x : 0 x 5} and T = {x : − 2 < x < 3} Find S∪T

A −3 < x ≤ 3

B −2< x < 5

C 2 < x < ≥−5

D −1 < x≥≤ 2

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43. If an investor invest N450,000 in a certainorganization in order to yield X as a return of N25,000.Find the return on an investment of N700,000 by Y in thesame organization.

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44. Evaluate

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45. 10011 _{2} + ***** _{2 }+ 11100 _{2} + 101 _{2} = 1001111 _{2}

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46. Evaluate

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47 If y = ( x^2 + 3x − 1) ÷ (3x + 4). Find dy/dx

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48. Integrate

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49. Find the area of the curved surface of a cone whosebase radius is 3cm and whose height is 4cm (π = 3.14)

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50. Simplify 1/(x + 1) + 1/(x-1)

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