JAMB UTME - Mathematics - 1979
Swali 1 Ripoti
If y = x2 - 2x - 3, Find the least value of y and corresponding value of x
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Swali 2 Ripoti
In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to
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Swali 3 Ripoti
A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?
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Swali 6 Ripoti
An arc of circle of radius 2cm subtends an angle of 60o at the centre. Find the area of the sector
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Swali 7 Ripoti
After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?
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Swali 8 Ripoti
A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man
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Swali 9 Ripoti
The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)
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Swali 10 Ripoti
A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?
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Swali 11 Ripoti
Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2
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Swali 13 Ripoti
The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?
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Swali 14 Ripoti
The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was
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Swali 15 Ripoti
The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?
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Swali 16 Ripoti
Find the value of log10\(\frac{1}{40}\), given that log104 = 0.6021
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Swali 17 Ripoti
In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65o and < RPS is 20o. What is the size of < PRS?
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Swali 18 Ripoti
A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
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Swali 19 Ripoti
(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?
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Swali 21 Ripoti
12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?
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Swali 22 Ripoti
A cylinder of height h and radius r is open at one end. Its surface area is
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Swali 23 Ripoti
In \(\bigtriangleup\)PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS
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Swali 24 Ripoti
On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr
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Swali 25 Ripoti
Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?
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Swali 27 Ripoti
In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of <PQR is
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Swali 28 Ripoti
If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is
Swali 29 Ripoti
x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?
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Swali 30 Ripoti
A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?
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Swali 31 Ripoti
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15o find < QRS
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Swali 32 Ripoti
The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is
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Swali 33 Ripoti
Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)
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Swali 34 Ripoti
If x3 - 12x - 16 = 0 has x = -2 as a solution then the equaion has
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Swali 35 Ripoti
What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
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Swali 36 Ripoti
A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is
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Swali 37 Ripoti
In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.
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Swali 39 Ripoti
Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)
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Swali 43 Ripoti
In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of
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Swali 44 Ripoti
In base ten, the number 101101 (base 2) equals
Swali 49 Ripoti
Make x the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0
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Swali 50 Ripoti
If \(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\) then the value of x is:
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