JAMB UTME - Mathematics - 1981
Swali 1 Ripoti
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
Maelezo ya Majibu
Swali 4 Ripoti
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
Maelezo ya Majibu
Swali 7 Ripoti
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%?
Maelezo ya Majibu
Swali 8 Ripoti
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?
Maelezo ya Majibu
Swali 9 Ripoti
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?
Maelezo ya Majibu
Swali 10 Ripoti
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)
Maelezo ya Majibu
Swali 11 Ripoti
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
Maelezo ya Majibu
Swali 12 Ripoti
The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by
Maelezo ya Majibu
Swali 13 Ripoti
What is the area between two concentric circles of diameters 26cm and 20cm?
Maelezo ya Majibu
Swali 14 Ripoti
In one and a half hours, the minute hand of a clock rotates through an angle of
Maelezo ya Majibu
Swali 15 Ripoti
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
Maelezo ya Majibu
Swali 16 Ripoti
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
Maelezo ya Majibu
Swali 18 Ripoti
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
Swali 20 Ripoti
Evaluate \(\frac{6.3 \times 10^5}{8.1 \times 10^3}\) to 3 significant fiqures
Maelezo ya Majibu
Swali 22 Ripoti
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?
Maelezo ya Majibu
Swali 23 Ripoti
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
Maelezo ya Majibu
Swali 24 Ripoti
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?
Maelezo ya Majibu
Swali 25 Ripoti
A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as
Maelezo ya Majibu
Swali 27 Ripoti
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?
Maelezo ya Majibu
Swali 28 Ripoti
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?
Maelezo ya Majibu
Swali 29 Ripoti
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
Maelezo ya Majibu
Swali 31 Ripoti
simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)
Swali 32 Ripoti
The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?
Maelezo ya Majibu
Swali 33 Ripoti
In the figure, WU//YZ, WY//YZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.
Maelezo ya Majibu
Swali 34 Ripoti
The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is
Maelezo ya Majibu
Swali 35 Ripoti
Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
Maelezo ya Majibu
Swali 36 Ripoti
Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is
Maelezo ya Majibu
Swali 37 Ripoti
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
Maelezo ya Majibu
Swali 38 Ripoti
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
Maelezo ya Majibu
Swali 40 Ripoti
If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b2 in terms of a, c, r.
Maelezo ya Majibu
Swali 42 Ripoti
If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.
Maelezo ya Majibu
Swali 43 Ripoti
The number 25 when converted from the tens and units base to the binary base (base two) is one of the following
Maelezo ya Majibu
Swali 44 Ripoti
An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?
Maelezo ya Majibu
Swali 45 Ripoti
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?
Maelezo ya Majibu
Swali 46 Ripoti
Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)
Maelezo ya Majibu
Swali 47 Ripoti
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
Maelezo ya Majibu
