**The tsetse flies were best of mates. One invited the other to come round and watch the test match, but he arrived late. He prepared a delicious treat, of greenfly morsels and other things tsetse like to eat. Whoops ! one of them almost got squashed on the seat ! And almost got his wings splashed with mosquito repellant deet ! The tsetse was almost swept into a puddle, washed away down the street. The tsetse fly was soon in a flap. Now wonder he was such an unhappy chap ! His mate awoke him when he was having a nap !**

** 1. The tsetse fly flapped his wings 16 times in 30 seconds. How many times did he flap his wings in 1 minute ? 5 minutes ? Then in one hour ?**

** 2. If he flew at a speed of 0.5 km / hour, how long did it take him to travel 25 km ?**

** 3. How far did he travel in 45 minutes at this speed ?**

** 4. The tsetse fly got caught in a spider’s web for 30% of his 3 hour journey – how long is that ?**

** 5. Passing a tree, the tsetse fly crashed into 20 % of the 1000 leaves – how many leaves is that ?**

** 6. The tsetse fly liked flying in circles best. Using the formula to work out the distance of an arc (arc = radius x degrees) and the formula for working out the area of a circle (2 ii r) work out the surface area of a circle that he flew in**

**a) 30 minutes**

**b) 90 minutes**

**c) 3 hours.**

** 7. The tsetse fly flew 2 km East then 5 km North. How far did he have to travel to get back to where he started ? Use Pythagoras’s theory to work out your answer.**

** 8. The tsetse fly crash landed in a puddle that contained 5 mls, but 2% spalshed into the air – how much water was left ?**

** 9. There were 100 tsetse fly. The smallest was 0.2 cm wide, the biggest 2 cm wide. Work out the range of their sizes.**

** 10. 50% of the tsetse fly were 0.2 cm, 25% were 1 cm wide and the remaining 25% were 2 cm wide. What their average size (mean) ?**

** Check Your Answers Checkmate Game**

**Can you spot the “mate” in these words ?**

**primate**

**inmate**

**checkmate**

**workmate**

**material**

**cleaning**

**material**

**materialistic**

**organic**

**material**

**materiality**

**schoolmate**

**materialism**

**classmate**

**maternal**

**© Jacqueline Richards 2007**

**Answers :**

**1. a) 16 x 2 = 32 b) 32 x 5 = 160 c) 12 x 160 = 1920**

**2. 12.5 hrs**

**3. 0.5 / 4 x 3 = 0.375 km**

**4. 180 / 100 x 30 = 54**

**5. 200**

**6. a) step 1 – circumference = 960 ; step 2 – 960 / 4 = r x 90 ; step 3 – r = 240 / 90 = 2.6 r ; step 4 – 2 x 3.14 x 2.6 x 2.6 = 42.45 sq cm**

**b) step 1 – c = 2880 ; step 2 – 2880 / 4 = r x 90; step 3 – r = 720 / 90 = 8 ; step 4 – 2 x 3.14 x 8 x 8 = 401.92 sq cm**

**c) step 1 – c = 5760; step 2 – 5760 / 4 = r x 90 ; step 3 – r = 1440 / 90 = 16; step 4 2 x 3.14 x 16 x 16 = 1607.68 sq cm**

**7. x 2 = (2 x 2) + (5 x 5) = 4 + 25 = 29 = x = 5.38 km**

**8. 5 – (5 / 100 x 2 = 0.1) = 4.9 mls 9. 2 – 0.2 = 1.8 cm 10. (50 x 0.2) + (25 x 1) + (25 x 2) / 100 = 10 + 25 + 100 = 135 / 100 = 1.35 cm**

**Answers : primate; inmate; checkmate; workmate; material; cleaning material; materialistic; organic material; materiality; schoolmate; materialism; classmate; maternal**