FUTA Post UTME Mathematics Past Questions

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In a class of 46 students, 22 play football, and 26 play volleyball. If 3 students play both games, how many play neither?

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P ∩ Q.

Simplify \(( \sqrt{6} +2)^{2} - ( \sqrt{6} +2)^{2} \)

If log3 x2 = -8, what is x?

If 27x+2÷ 9x+1= 32x find x.

Evaluate \(\frac{21}{9} \) to 3 significant figures.

Simply \( \frac{2 \frac{2}{3} \times 1 \frac{1}{2}}{4 \frac{4}{5} } \)

Convert 726 to a number in base three.

In a class of 60 students, 30 offer Physics and 40 offer Chemistry. If a student is picked at random from the class, what is the probability that the student offer both Physics and Chemistry?

Find the probability that a number picked at random from the set {43, 44, 45,..., 60} is a prime number.

In how many ways can five people sit round a circular table?

In how many ways can the letters of the word ELATION be arranged?

No.012345Frequency143825find the median and range of the data respectively.

The sum of four consecutive integers is 34. Find the least of these numbers.

Evaluate \(\int_0^1 \) (3 - 2x) dx.

Solve the inequality x2 + 2x > 15.

The derivative of (2x + 1)(3x + 1) is

A man walks 100m due West from a point X to Y, he then walks 100m due North to a point Z. Find the bearing of X from Z.

In a right angled triangle, if tanθ = \( \frac{3}{2} \) What is \(cos \theta - sin \theta \)

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

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