JAMB UTME - Mathematics - 1981
Tambaya 1 Rahoto
The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is
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Tambaya 2 Rahoto
In one and a half hours, the minute hand of a clock rotates through an angle of
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Tambaya 3 Rahoto
In \(\bigtriangleup\)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?
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Tambaya 4 Rahoto
A group of 14 children children received the following scores in a reading test: 35, 35, 26, 26, 26, 29, 29, 29, 12, 25, 25, 25, 25, 17. What was the median score?
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Tambaya 5 Rahoto
If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b2 in terms of a, c, r.
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Tambaya 6 Rahoto
The first term of an Arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81
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Tambaya 7 Rahoto
The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm2, then the radius of the ball is
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Tambaya 8 Rahoto
Evaluate correct to 4 decimal places 827.51 x 0.015
Tambaya 10 Rahoto
The number 25 when converted from the tens and units base to the binary base (base two) is one of the following
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Tambaya 11 Rahoto
A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7\(\frac{1}{2}\)% per annum simple interest?
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Tambaya 12 Rahoto
If sine x equals cosine x, what is x in radians?
Tambaya 13 Rahoto
The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?
Tambaya 14 Rahoto
7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?
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Tambaya 16 Rahoto
The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by
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Tambaya 17 Rahoto
Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
Tambaya 18 Rahoto
A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as
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Tambaya 22 Rahoto
The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r : t. In 1980, the price of a loaf went up by 25% and that of a packet of sugar went up by 10%. Their new ratio is now
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Tambaya 24 Rahoto
The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is
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Tambaya 25 Rahoto
Evaluate \(\frac{6.3 \times 10^5}{8.1 \times 10^3}\) to 3 significant fiqures
Tambaya 26 Rahoto
In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?
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Tambaya 27 Rahoto
In the diagram, XZ is the diameter of a circle's radius \(\frac{5}{2}\). If XY is 4cm, then the area of the triangle XYZ is
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Tambaya 31 Rahoto
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)
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Tambaya 32 Rahoto
In the figure, find x in terms of a, b and c.
Tambaya 33 Rahoto
What is the area between two concentric circles of diameters 26cm and 20cm?
Tambaya 34 Rahoto
The weights of 30 new-born babies are given as follow: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5, 8, 7, 8, 7, 5, 6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is
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Tambaya 35 Rahoto
Given that 10x = 0.2 and log102 = 0.3010, find x
Tambaya 36 Rahoto
By selling an article for N45.00 a man makes a profit of 80%. For how much should he have sold it in order to make a profit of 32%?
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Tambaya 37 Rahoto
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
Tambaya 39 Rahoto
An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?
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Tambaya 40 Rahoto
Find a two-digit number such that three times the tens digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits
Tambaya 41 Rahoto
What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then
Tambaya 42 Rahoto
simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)
Tambaya 44 Rahoto
A baking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked using 24.5kg of a mixture of sugar and flour. How much sugar was used?
Tambaya 45 Rahoto
Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is
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Tambaya 46 Rahoto
Solve \(\frac{1}{x + 1}\) - \(\frac{1}{x + 3}\) = \(\frac{1}{4}\)
Tambaya 47 Rahoto
Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8.
The arithmetic mean of the marks is
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