OOU Post UTME Mathematics Past Questions

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AAUA allocations to various faculties in a school budget are as follows:Science: ₦35,000,000.00 Education: ₦25,000,000.00 Law: ₦20,000,000.00 Social and Management: ₦20,000,000.00. In a pie chart to represent this inform…

Find the equation of the line through (5,7) parallel to the line 7x + 5y - 5 = 0.

Find the point on the Euclidean plane where the curve y = 2x2 - 2x + 3 has 2 as gradient.

If x and y represent the mean and the median respectively of the following marks of students in a Mathematics test; 11, 12, 13, 14, 15, 16, 17, 18, 19, 21. Find x/y correct to 1 decimal place.

The chances of three independent events P, Q, R occurring are \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{1}{4}\) respectively. What are the chances of P and Q only occurring?

At what value of x is the function y = x2 - 6x - 7 minimum?

Find the population variance of the three numbers k, k + 1 and k + 2. Use the mean of their squared distances from their mean, dividing by 3.

If y = 5cos(-6x), dy/dx is

Obtain a maximum value of the function \(f(x) = x^3 - 12x + 11\)

Find the value of p, if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0.

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

Find the sum to infinity of the following series 3 + 2 + 4/3 + 8/9 + 16/27 + ......

What factor is common to all the expressions \(x^2 - x, 2x^2 - x- 1\) and \(x^2 - 1\)?

Find all the values of \(x\) satisfying the inequality \(-14 \leq 4 - 3x \leq 31\).

Paul and his friend, Peter went to buy an article costing ₦600. Peter had 10% of the cost and Paul, 40% of the remainder. How much did they have altogether?

If \(x + 1\) is a factor of \(x^3 + 3x^2 + kx + 4\), find the value of k.

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2.

Three students share a bag of garri in such a way that the first student took \(\frac{1}{4}\) of the garri and the second \(\frac{3}{4}\) of the remainder. What fraction of the bag of garri did the third student take?

A ladder resting on a vertical wall makes an angle whose tangent is 2.5 with the ground. If the distance between the foot of the ladder and the wall is 60 cm, what is the length of the ladder?

Uche, Adamu and Ope share profit on a business deal. Uche received \(\frac{1}{3}\) of the profit and Adamu received \(\frac{2}{3}\) of the remainder. If Ope received the remaining ₦12,000, how much profit did they share?

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