JAMB Mathematics 1984 past questions

0.00014323/1.940000 = k x 10n where 1 £ k < 10 and n is a whole number. The values of K and are

P sold his bicycle to Q at a profit of 10%. Q sold it to R for #209 at a loss of 5%. How much did the bicycle cost P?

If the price of oranges was raised by 1/2k per orange, the number of oranges customer can buy for #2.40 will be less by 16. What is the present price of an orange?

Bola chooses at random a number between 1 and 300. What is the probability that the number is divisible by 4?

Find without using logarithm tables, the value of Log327 – Log1/464 Log31/81

Factorise 6x2 – 14x - 12

The table below is drawn for a graph y = x2 – 3x + 1 1 x 1 -1 3 1 -1 3 1 -3 -2 -1 0 1 2 3 y=x - 3x + 1 From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

In a racing competition. Musa covered a distance of 5xkm in the first hour and (x + 10)km in the next hour. He was second to Ngozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?

Tunde and Shola can do a piece of work in 18days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x?

The quadratic equation whose roots are 1 - 13 and 1 + 13 is

Find a factor which is common to all three binomial expressions 4a2 – 9b2, a3 + 27b3, (4a + 6b)2

P 5 cm Q S 11 cm T 4 cm R What is the volume of the regular three dimensional figure drawn above?

The sides of a triangle are (x + 4)cm, x cm and (x- 4) cm respectively. If the cosine of the largest angle is 1/5, find the value of x

Find the integral values of x which satisfy the inequalities –3 < 2 –5x < 12

r r O r O O r Find the area of the shaded portion of the semi – circular figure above.

If pq + 1 = q2 and t = 1/p – 1/pq express t in terms of q

Two fair dice are rolled. What is the probability that both show up the same number of point?

y = x + y =x - x - x Find the x coordinates of the points of intersection of the two equations in the graph above.

If sin q = x/y and 00 < q < 900 then find 1/ tan q

P 6 cm R Q 8 cm T S 12 cm In the figure above TSP =PRQ, QR = 8cm. PR = 6cm and ST = 12cm. Find the length SP

XYZ is a triangle and XW is perpendicular to YZ at W. if XZ = 5cm and WZ = 4cm, calculate XY.

Measurements of the diameters in centimeters of 20 copper spheres are distributed as shown below Class boundary in cm frequency 3.35-3.45 3.45-3.55 3.55-3.65 3.65-3.75 What is the mean diameter of the copper sphere?