OAU Mathematics 2007/2007 Past Questions

A regular polygon has each of it angles as 160°. What is the number of sides of the polygon?

A girl walks 30m from a point P on a bearing of 040° to a point Q. She then walks 30m on a bearing of 140° to a point R. The bearing of R from P is

How many different three digit numbers can be formed using the integers 1 to 6 if no integer occurs twice in a number?

In how many different ways can the letters of the word GEOLOGY be arranged in order?

A cyclist rode for 30minutes at x km/hr and due to a breakdown, he had to push the bike for 2hrs at (x - 5)km/hr. if the total distance covered is less than 60km, what is the range of values for x?

A business invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of N11, 600 as dividend, how much did he invest at 5%?

In a class, 37 students take at least one of Chemistry, Economics and Government, 8 students take Chemistry, 19 take Economics and 25 take Government. 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both Chemistry and Government?

Solve for p in the following equation given in base two 11(p + 110) = 1001p

Factorize 16(3x + 2y)² - 25(a + 2b)²

A cone has base radius 4cm and height 3cm. the area of its curved surface is

3logx + logy = 3. Then, y is

If ${x^2}/{a^2} - {y^2}/{b^2}$, then y is

Z is partly constant and partly varies inversely as the square of d. when d = 1, z = 11 and when d = 2, z = 5. Find the value of z when d = 4.

Expand the expression (x² - 2x - 3)(x² + x + 1).

Suppose we have matrices A = $[\table;1, -1;2, 3]$ and, B = $[\table;0, 2;4, 3]$
Find A² + AB - 2A

The inverse of matrix B is

The indefinite integral of the function f(x) = xcosx for any constant k, is

Evaluate the integral $∫^2_1(x^2+1/x)dx$

The trigonometric expression cos2A + sin2A can be written as

Display the set D ∩ P

Find D ∩ E

With replacement:

Without replacement