JAMB CBT PRACTICE(mathematics)

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💻JAMB CBT PRACTICE (MATHEMATICS)

Jamb CBT Practice/ JAMB MOCK EXAM

Mathematics

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1)

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12.

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2)

Tanθ is positive and Sinθ is negative. In which quadrant does θ lies

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3) If −2x3+6x2+17x - 21 is divided by (x+1), then the remainder is

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4) Find the probability that a number selected at random from 41 to 56 is a multiple of 9

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5) A man sells different brands of an items. 1/9 of the items he has in his shop are from Brand A, 5/8 of the remainder are from Brand B and the rest are from Brand C. If the total number of Brand C items in the man\'s shop is 81, how many more Brand B items than Brand C does the shop has?

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6) Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.

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7)

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

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8)

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

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9) Find the rate of change of volume V of a hemisphere with respect to its radius r, when r = 2

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10)

Give that the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6, find the median.

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11)

Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

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12)

Solve the logarithmic equation: log2(6−x)=3−log2x

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13)

Give that X is due east point of Y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

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14) Find the length of a side of a rhombus whose diagonals are 6cm and 8cm

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15) If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ).

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16)

The locus of points equidistant from a fixed point is a___

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17)

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

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18) Two dice are tossed. What is the probability that the total score is a prime number.

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19)

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?

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20)

Find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17 = 0

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21) Bello buys an old bicycle for ₦9,200.00 and spends ₦1,500.00 on its repairs. If he sells the bicycle for ₦13,400.00, his gain percent is

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22)

An article when sold for ₦230.00 makes a 15% profit. Find the profit or loss % if it was sold for ₦180.00

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23)

The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6o, then the value of "n" is

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24) A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student\'s percent error?

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25)

Given that the cost C of running a school is directly proportional to the number of students N, if 20 students cost ₦‎10,000, How many students can ₦‎1,000,000 cover?

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26) What is the general term of the sequence 3, 8, 13, 18, ...?

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27) If sin θ = -3/5 and θ lies in the third quadrant, find cos θ

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28) Calculate the median of 14, 17, 10, 13, 18 and 10.

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29) If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

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30) Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

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31) List all integers satisfying the inequality in -2 < 2x-6 < 4

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32) The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

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33)

Find the length of a chord 3cm from the centre of a circle of radius 5cm.

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34)

Three times a certain number (x), minus 2 is less than the number minus 6. Find the possible values of x.

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35) If a fair coin is tossed twice, what is the probability of obtaining at least one head?

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36)

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

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37)

How many different 8 letter words are possible using the letters of the word SYLLABUS?

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38) Three children shared a basket of mangoes in such a way that the first child took 1/4 of the mangoes and the second 3/4 of the remainder. What fraction of the mangoes did the third child take?

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39) 4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

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40)

In how many ways can the letter of ZOOLOGY be arranged?

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