10. Two square flowerbeds are placed symmetrically in a rectangular garden as shown in the diagram. The distance between the beds is y and so is the width of the border around the beds on all sides. A seed blown into the garden by the wind is equally likely to land anywhere in the garden. What is the probability that it actually lands in a flowerbed? SOLUTION [D] 1. 3240 2. 2 3. 101 4. 2 5. 5 6. 12 7. 1.35 8. 60 9. 7 10. 2/7 [E] 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 are placed tangent to each other as shown. What is the √2 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
10. Two square flowerbeds are placed symmetrically in a rectangular garden as shown in the diagram. The distance between the beds is y and so is the width of the border around the beds on all sides. A seed blown into the garden by the wind is equally likely to land anywhere in the garden. What is the probability that it actually lands in a flowerbed? SOLUTION [D] 1. 3240 2. 2 3. 101 4. 2 5. 5 6. 12 7. 1.35 8. 60 9. 7 10. 2/7 [E] 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 to 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
Numeric-Entry.docx