OAU Post UTME Mathematics Past Questions

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A bag contains 5 yellow balls, 6 green balls and 9 black balls. A ball is drawn at random from the bag. What is the probability that it is a black or yellow ball?

In a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither Igbo nor Yoruba. How many students speak Yoruba and Igbo?

If \(\theta\) is acute, evaluate \(\cfrac{\cos \left(90-\theta \right)+\sin (180-\theta )}{\cos \left(180-\theta \right)-\sin (90-\theta )}\)

The radius of a circle is given as 10cm subject to an error of 0.2cm. The percentage error in the area of the circle is

The angle of depression of two points A and B on a place field from the top of a mast erected between A and B are \(30^{\circ}\) and \(45^{\circ}\) respectively. If A is westward of B, find /AB/ if the height of the mast…

If \(x=0.0012+0.00074+0.003174\), what is the difference between x to 2 decimal places and x to 1 significant figure?

The smallest section of a rod which can be cut into exactly equal sections, each of either 30cm or 36cm in length is

The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in km/hr is

How long will it take a sum of money invested at 8% simple interest to double the original sum?

When the price of egg was raised by ₦2 an egg, the number of eggs which can be bought for ₦120 is reduced by 5. The present price of an egg is

A woman buys 4 bags of rice for L56 per bag and 3 bags of beans for L26 per bag using the currency "LONI" (L) inbase 7. What is the total cost of the items in another currency "MONI" (M) in base 8?

Evaluate \(x\) in base 3 if \(41_x-22_x=17_x\)

If \(1+\frac 1{1+\frac 1{1+\frac 1 x}}=5,\) find x

Simplify \(1+\frac 2 3-3\left(1+\frac 2 3\mathit{of}\frac 6 7\right)\)

A family consists of three children and one parent. The children’s average age is 9 years, and the parent is 39 years old. What is the average age of this four-person family?

Which of the following specified sets of data is not necessarily sufficient to fix a triangle’s size and shape uniquely? Assume all the given measurements are valid for a non-degenerate triangle.

A bearing of \(310^{\circ}\), expressed as a compass bearing is:

The volume of a certain sphere is numerically equal, when using one fixed length unit, to twice the numerical value of its surface area. The diameter of the sphere is:

A square tile measures 20cm by 20cm. How many of such files will cover a floor measuring 5m by 4m?

All vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is \(65^{\circ}\). The angle subtended at the centre of the circle by the base of the triangle is:

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