1. On a number line point a has coordinate -4 and point B has coordinate 6. What is the coordinate of point C which is midway between A and B ?
2. 60 per cent of what number is equal to 45 per cent of 80?
3. If the sum of 7 consecutive numbers is 0, what is the greatest of these numbers?
4. How many cubes with volume 8 cubic units can be cut from a cube with a surface area of 96 square units?
5. If ab = 1, bc = 2 and ac = 8, what is the value of abc?
6. Four circles of diameter √2 are placed tangent ot each other as shown. What is the distance AC ?
7. What is the least positive integer k for which 15k is the cube of a number?
8. A factory was owned by three people X, Y and Z, each having an equal share. X sold half his share to Y. Z sold one quarter of his share to Y. What fraction did Y then own?
9. Two people set off by car on a rally and take the same route which is 25 miles long. If A drives at an average speed of 50 miles per hour, and B at an average speed of 60 miles per hour, how much longer in minutes will it take A to cover the course than it takes B ?
10. If f(x) = 3x – 2 and g(x) = 2x + 1. And if f(k) = g(k). What is the value of k?
