FUTA Post UTME Mathematics Past Questions

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Find the sum of the 20 terms in an arithmetic progression whose first term is 7 and the last term is 117

Solve the equation (x-2)(x-3)=12

At what value of x is the function y = x2 - 2x - 3 minimum?

Find the gradient of the line passing through the points (-2,0) and (0,-4)

Sola deposited #150.00 in the bank. At the end of 5years, the simple interest on the principal was #55.00. At what rate per annum was the interest paid?

If P=18,Q=21,R=-6,and S=-4,calculate \(\frac{(P-Q)^{3} }{R^{2}} \) + S2

If \(\cos\theta=\frac{a}{b}\), find \(1+\tan^{2}\theta\).

At what points does the straight line y=2x+1 intersect the curve y=2x2+5x-1?

Simplify \(\frac{0.0324 \times 0.00064}{0.48 \times 0.012} \)

Evaluate 2123- 1213 + 2223

A man kept 6 black,5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?

If Musa scored 75 in Biology instead of 57,his average mark in four subjects would have been 60.What was his total mark?

If x varies directly as \(y^3\) and \(x=2\) when \(y=1\), find x when \(y=5\).

Find the probability that a number selected at random from the integers 40 to 50 inclusive is prime

Find the values of x which satisfy the equation 16x - 5 * 4x + 4 =0

Factorise x2 + 2a+ ax + 2x

The ages of Sola and Akin differ by 6 and the product of their ages is 187. Write their ages in the form (x,y), where x>y.

Find the smallest number by which 252 can be multiplied to obtain a perfect square

Write the decimal number 39 to base 2.

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

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