FUTO Mathematics 2005/2006 Past Questions

Simplify $$2 \frac5{12}$$ - $$1 \frac78$$

Make c the subject of the equation a (b+c) + (5/d) - 2=0

Which values of the variable x (a) x = 0 (b) = 3 (c) x =9, satisfy the inequalities (x + 3)/(0 < x - 1 ≤ 2)?

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however that by increasing her usual speed in km/hr. she can save 20 minutes. Find her usual speed in km/hr

Write down the number 0.0052048 correct to three significant figures

The ratio of the areas of similar triangles is necessarily equal to

P and Q are fixed points and X is a variable point which moves so that angles PXQ =45°. What is the locus of X?

A man and wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?

The weights of 30 new-born babies are given as follows: 6, 9, 5, 7, 6, 7, 5, 8, 5, 7, 5, 8, 7, 8, 7, 16, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is

What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 17

Simplify $$\frac{log_{10}0 - log_{10}4}{log_{10}4 - log_{10}2}$$

If (x - 2) - 3x² - 4x + 1. Find f(1)

A sector of a circle is bounded by two radii 7cm long and are of length 6cm. find the area of the sector.

Given that p:g - 1/3 : 1/2 and q:r = 2/5 : 4/7, find p:r

The currency used in a country is called 'matimalik' (M) and is of base seven. A lady in the country bought 4 bags of rice at M56 per bag and 3 tins of milk at M4 per tin. What is the total cost of the items she bought?

If x Is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?

If 0.0000152 x 0.0004 = A x 10⁸ where 1= A < 10, find A and B

If x + 2 and x - 1 are factors of the expression Lx³ + t - 2kx² + 24, find the values of L and k

The value of (0.03)³ - (0.02)³ is