** 1. Professor Assessor bought a bag of popcorn, with 500 popcorns pieces but when he tripped up the step he spilt 80% – how much popcorn was left ?**

** 2. Professor Assessor made 50 shots – only one in two hit. Express this as a ratio, fraction, decimal and percentage.**

** 3. If one ball measured 25 cm across the middle (the diameter), then how many balls fit on three shelves one metre long ?**

** 4. In each hit made by Professor Assessor, there were 10 pins. As his bowling ability gradually improved, in the first three rounds he knocked down half. In the second three rounds he knocked down 80 % and in the third three rounds, he knocked down 0.9. How many pins a) were knocked down and b) were left standing ?**

** 5. Professor Assessor won 4 / 5 ths of the 50 games he played. How many is that ?**

** 6. What angles did Professor Assessor hit the ball if he hit it a) straight on b) in a NE direction and c) North West ?**

** 7. Professor Assessor bought a hotdog (for £1.25), chips (for £0.99) and £1.50 for a bottle of coke – how much change did he get from £10.00 ?**

** 8. Professor Assessor studied the scores. The four players scored 110 points in a ratio of 2 : 3 : 6. How many points did they score each ?**

**Jacqueline Richards 2007**

Answers :

1. 500 – (500 / 100 x 80 = 400) = 100

2. 1 : 50; 1/ 50t; 0.02; 2%

3. (3 x 100) / 25 = 12

4. a) (3 x 5) + (3 x 8) + (3 x 9) = 66; b) 90 – 66 = 24

5. 40

6. a) o degrees; b) 45 degrees; c) 315 degrees

7. 10 – (1.25 + 0.99 + 1.25 = 3.74) = £6.26

8. One part = 110 / 11 = 10 therefore 22 : 33 : 66;

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