FUTA Post UTME Mathematics Past Questions

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Simplify sin2x/(1+ cosx) + sin2 x/(1 - cosx)

If x varies inversely as y, and y varies directly as the square root of z, and z varies directly as 1/\(\omega ^{2} \) write down in words how x varies with (omega) w.

A cuboid has a diagonal of length 9 cm and a square base of side 4 cm. What is its height?

A cylindrical motor of height 12 cm has uniform thickness of 2 cm. If the diameter of its outer cross-section is 10 cm, find the volume of the constituent material. (Take π = 22/7).

The expression x3 - 4x2 + cx + d is such that x+1 is its factor, and its value is 1 when x is -2. Find c and d.

Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (Take π =22/7)

Simplify the given expression\(\sqrt{[\frac{1-cosx}{1+cosx}]} \)

Solve the system of equations 2 x+y= 32, 3y-x = 27,

If it is given that 5 x+1+ 5x = 150 then the value of x is equal to

The result of dividing ( xa / xb ) a+b by ( xa+b / xa-b )a\(^{2}\) is

In triangle FGH, ∠G = 90°, ∠H=60, while triangle XYZ, ∠X = 60°, and ∠Y = 30° From ∠XYZ, write down the ratio equal to o |F G|/|FH|

A pentagon has four of its angles equal. If the size of the fifth angle is 60° find the size of each of the four equal angles.

What will be the value of k so that the quadratic equation k x2 - 4x + 1 = 0 has equal roots?

In a school there are 35 students in class 2A and 40 in class 2B. The mean score for class 2A in a Mathematics examination is 60.00 and that for 2B in the paper is 52.5. Find, to one place of decimals, the mean of the co…

Three number are connected by the relationship y = 4x / 9 + 1 and z = 4y / 9 + 1. If x = 99, find z.

Simplify log10 8 ⁄ log104

A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one of the groups contains 26 items then the sector representing this group on the pie chart contains an angle…

A man and his wife went to buy article costing ₦400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether.

The ratio of the areas of similar triangles is necessarily equal to

List all the integer values of x satisfying the inequality -1

1 2 3

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