OAU Mathematics 2008/2009 Past Questions

The interior angles of a pentagon are: 180°, 118°, 80°, 78° and x. The value of x is:

All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is The angle subtended at the centre of the circle by the base of the triangle is:

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

The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is:

A bearing of 310°, expressed as a compass bearing is:

Which of the following specified sets of data is not necessarilv sufficient for the construction of a triangle?

The average age of the three children in a family is 9 years. If the average age of their parent is 39 years, the average age of the whole family is:

Simplify 1 + $2/3$ - 3 ÷ (1 + $2/3of6/7$)

If $1 + 1/{1 + 1/{1 + 1/x}}$
find x

Evaluate x in base 3 if 41_x - 22_x = 17_x.

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) in base 7. What is the total cost of the items in another currency "MONI" (M) in base 8?

When the price of egg was raised by N2 an egg, the number of eggs which can be bought for N120 is reduced by 5. The present price of an egg is

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

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

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

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 angle of depression of two points A and B on a plane field from the top of a mast erected between A and B are 30° and 45° respectively. If A is westward of B, find IABI if the height of the mast is 15m from the field

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

If θ is acute, evaluate ${cos(90-θ)+sin(180-θ)}/{cos(180-θ)-sin(90-θ)}$

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

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

Weight (kg)	60 - 62	63 - 65	66 - 68	69 - 71	72 - 74
F	5	18	42	27	8

Calculate the mean of the distribution to two decimal places

Weight (kg)	60 - 62	63 - 65	66 - 68	69 - 71	72 - 74
F	5	18	42	27	8

Calculate the mode of the distribution to two decimal places

TQ is a tangent to the circle ABCDT, angle DTQ = 40°, angle AT ' = 30°, then angle ATD is