JAMB Mathematics 2018 test

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JAMB Mathematics 2018

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1 / 66

Calculate 243six – 243five expressing your answer in base 10

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From a point P, R is 5km due West and 12km due South. Find the distance between P and R'.

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A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

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Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

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A boy walks 800m in 20 minutes. Calculate his average speed in Km/H

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A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

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The probabilities that John and James pass an examination are \frac {3}{4}and \frac {3}{5} respectively. Find the probability of both boys failing the examination.

 

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Convert 0.04945 to two significant figures

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Find \N\

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If\frac{x}{a + 1}+ \frac{y}{b} = 1. Make y the subject of the relation.

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A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

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In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

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If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

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The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark012345
Frequency127543

 

What is the median mark?

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What is the place value of 9 in the number 3.0492?

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A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

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A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

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Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \frac{2}{3} of her share to Taiwo for N720.00. Find the value of the store

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How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

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The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is ₦7200?

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Find the value of x in the diagram

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Convert 0.04945 to two significant figures

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In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF

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Make T the subject of the relation.

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Approximate 0.9875 to 1 decimal place.

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Evaluate ∫^2_1 \frac{5}{x} dx

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Use the cummulative frequency curve to answer the question. What is the 80th percentile?

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if y = 23five + 101three find y leaving your answer in base two

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A trader realises 10x - x^2 Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

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Express 495g as a percentage of 16.5kg

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A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

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If the simple interest on a sum of money invested at 3% per annum for 2\frac{1}{2} years is N123, find the principal.

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Evaluate (2√3 - 4) (2√3 + 4)

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Which one of the following gives the members of the set A1 n B n C?

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From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree

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

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Evaluate log_2 8 – log_3 \frac{1}{9}

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Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

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Evaluate 5^{-3} log^{2 \log 3}

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Use the cummulative frequency curve to answer the question. Estimate the median of the date represented on the graph

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The table in the image shows the frequency of children of age x years in a hospital.

What is the modal age?

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The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

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Find the average of the first four prime numbers greater than 10

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Find the values of x for which

\frac {x+2}{4} - \frac{2x - 3}{3} < 4

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What is the loci of a distance 4cm from a given point P?

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In how many ways can the letters LEADER be arranged?

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If y = 23five 101three , find y, leaving your answer in base two

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Find the equation of the tangent at the point (2, 0) to the curve y = x^2 - 2x

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Calculate the area of an equilateral triangle of side 8cm

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How many children are in the hospital

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Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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In the figure shown, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/

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Divide the L.C.M of 48, 64 and 80 by their H.C.F

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An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take \frac{22}{7}= 227)

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Simplify 25\frac{1}{2} × 8 \frac{-2}{3}

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The figure below is a Venn diagram showing the elements arranged within sets A,B,C,ε.
Use the figure to answer this question

What is n(A U B)1 ?

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A school girl spends \frac{1}{4} of her pocket money on books and 13 on dress. What fraction remains?

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If P = \frac{Q(R - T)}{15}\frac{1}{3} make T the subject of the relation

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\frac{0.00256 \times 0.0064}{0.025 \times 0.08}

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Solve for t in the equation \frac{3}{4}t + \frac{1}{3}(21 - t) = 11

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The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

Mark012345
Frequency127543

What is the probability of selecting a student from the group that scored 2 or 3

62 / 66

Integrate the expression 6x^2 - 2x + 1

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Given that Sin (5x − 28)o = Cos(3x − 50)o, Ox < 90o
Find the value of x

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Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?

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A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

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Use the quadratic equation curve to answer this questions
What is the 80th percentile?

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