JAMB Mathematics 1985 past questions

Arrange the following numbers in ascending order of magnitude 6/7,13/15,0.865

Evaluate (212)3 – (121)3 + (222)3

List all integers satisfying the inequality -2 < 2x – 6 < 4

Find correct to tow decimal places 100 + 1/100 + 3/1000 + 27/10000

Simplify 1/2 + 1 2 + ------------- 2 - -------------- 4 +1/5

John gives one third of his money to Janet who has #105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money John had at first.

Find x if Log9x = 1.5

221/2% of the Nigerian Naira is equal to 171/10% of a foreign currency M. what is the conversion rate of the M to the Naira?

Find the values of p for which the equation x2 – (p - 2)x + 2p + 1 = 0 has equal roots

If ex= 1 + x + x2/12 + x3/1.2.3 + ….. find 1/e1/2

In a restaurant, the cost of providing a particular type of food is partly constant and partly inversely proportional to the number of people. If the cost per head for 100people is 30k and the cost for 40 people is 60k, find the cost for 50 people

The factors of 9 – (x2 – 3x - 1)2 are

Factorize abx2 + 8y – 4bx –2axy

If the quadrilateral function 3x2 – 7x + R is a perfect square find R

Solve the following equation 2/(2r – 1) – 5/3 = 1/ (r + 2)

Solve for (x,y) in the equations 2x + y = 4: x2 + xy = -12

Solve the simultaneous equations 2x – 3y + 10 = 10x – 6y = 5

In DXYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = q0. find cos q0

Find the number of goals scored by a football team in 20matches is shown below No . of goals No . of matches 0 1 2 3 4 5 3 5 7 4 1 0 What are the values of the mean and the mode respectively?

The ratio of the length of two similar rectangular blocks is 2:3, if the volume of the larger block is 351cm3, then the volume of the other block is

The bearing of bird on a tree from a hunter on the ground is N720E. what is the bearing of the hunter from the bird?

Y K Z In D XYZ above, XKZ = 900, XK = 15cm, XZ cm and YK = 8cm. Find the area of the D XYZ.

What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?

Find the area of a regular hexagon inscribed in a circle of radius 8cm.

X N O Q O M P Y In the figure above, MNOP is a cyclic quadrilateral, MN and PQ are produced to meet at X and NQ and MP are produced to meet at Y. if MNQ = 860 and NQP = 1220, find (x0, y0)

If cosq = √3/2 and 0 is less than 900, calculate cot (90 - q) / sin2q

M N K L I J G H In the figure above GHIJKLMN is a cube of side a. find the length of HN

PQRS is a trapezium of area 14cm2 in which PQ//RS, if PQ = 4cm and SR = 3cm, find the area of DSQR in cm2

Q O O S R P In the figure PQ is the tangent from P to the circle QRS with SR as its diameter. If PQR = q0, which of the following relationship 00 is correct.?

Two points X and Y both on latitude 600S have longitudes 1470E and 1530W respectively. Find to the nearest kilometre the distance between X and Y measured along the parallel of latitudes (Take 2 R = 4 x 104km, where R is the radius of the earth).

O In the figure above the area of the shaded segment is