JAMB UTME - Mathematics - 1981
Pregunta 1 Informe
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
Detalles de la respuesta
Pregunta 2 Informe
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
Detalles de la respuesta
Pregunta 3 Informe
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?
Detalles de la respuesta
Pregunta 4 Informe
What is the area between two concentric circles of diameters 26cm and 20cm?
Detalles de la respuesta
Pregunta 5 Informe
A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as
Detalles de la respuesta
Pregunta 6 Informe
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?
Detalles de la respuesta
Pregunta 7 Informe
simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)
Detalles de la respuesta
Pregunta 8 Informe
Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?
Detalles de la respuesta
Pregunta 9 Informe
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?
Detalles de la respuesta
Pregunta 10 Informe
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
Detalles de la respuesta
Pregunta 11 Informe
Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)
Detalles de la respuesta
Pregunta 12 Informe
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
Detalles de la respuesta
Pregunta 14 Informe
Evaluate \(\frac{6.3 \times 10^5}{8.1 \times 10^3}\) to 3 significant fiqures
Detalles de la respuesta
Pregunta 15 Informe
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
Detalles de la respuesta
Pregunta 16 Informe
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?
Detalles de la respuesta
Pregunta 17 Informe
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
Detalles de la respuesta
Pregunta 18 Informe
The number 25 when converted from the tens and units base to the binary base (base two) is one of the following
Detalles de la respuesta
Pregunta 19 Informe
The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is
Detalles de la respuesta
Pregunta 20 Informe
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
Detalles de la respuesta
Pregunta 22 Informe
Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)
Detalles de la respuesta
Pregunta 23 Informe
The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by
Detalles de la respuesta
Pregunta 24 Informe
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)
Detalles de la respuesta
Pregunta 25 Informe
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
Detalles de la respuesta
Pregunta 26 Informe
Solve \(\frac{1}{x + 1}\) - \(\frac{1}{x + 3}\) = \(\frac{1}{4}\)
Detalles de la respuesta
Pregunta 27 Informe
An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?
Detalles de la respuesta
Pregunta 29 Informe
What is the size of an exterior angle of a regular pentagon?
Detalles de la respuesta
Pregunta 30 Informe
If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.
Detalles de la respuesta
Pregunta 31 Informe
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?
Detalles de la respuesta
Pregunta 32 Informe
Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
Detalles de la respuesta
Pregunta 33 Informe
If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b2 in terms of a, c, r.
Detalles de la respuesta
Pregunta 34 Informe
In one and a half hours, the minute hand of a clock rotates through an angle of
Detalles de la respuesta
Pregunta 36 Informe
Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is
Detalles de la respuesta
Pregunta 37 Informe
In the figure, WU//YZ, WY//YZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.
Detalles de la respuesta
Pregunta 40 Informe
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?
Detalles de la respuesta
Pregunta 41 Informe
The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?
Detalles de la respuesta
Pregunta 42 Informe
If \(\sin x° = \frac{a}{b}\), what is \(\sin (90 - x)°\)?
Detalles de la respuesta
Pregunta 43 Informe
Which of the following fractions is less than one-third?
Detalles de la respuesta
Pregunta 44 Informe
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%?
Detalles de la respuesta
Pregunta 45 Informe
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
Detalles de la respuesta
Pregunta 46 Informe
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
Detalles de la respuesta
Pregunta 47 Informe
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
Detalles de la respuesta
