Year 10 Measurement: Test 1 Name:

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1 Year 10 Measurement: Test 1 Name: All working must be shown in order to gain full marks. 1. Darwin does not have daylight saving and in winter is the same time as Adelaide which is ½ hour behind both Melbourne and Sydney. (a) For the July holidays Sandie is travelling to Darwin. She leaves Melbourne at 10.20am and flies for 1 hour before she has a ¾ hour stopover in Adelaide. Her journey then continues for a further 3½ hours. What time will she arrive in Darwin? (b) Kato left Darwin at Christmas for a 5½ hour flight direct to Sydney. If he left at 8.35am what time will he arrive? 2. Find the area of these shapes: 3. Albert has a rectangular swimming pool which is 3 m wide and 7 m long. (a) How many litres will the pool hold if it is 2m deep? (b) What will be the area of a one metre wide path around the edge of the pool? 4. Find the total surface area of a rectangular prism 30 cm by 40 cm by 50 cm.

2 5. What will be the cost of making a cylinder 5 m long and 4 m in diameter if the material costs 7 cents per m 2? 6. Find the total surface area of a basketball with a radius of 30 cm. 7. Find the volume of these solids: 8. Find the capacity (in ml) of a cylindrical container 10 cm in diameter and 30 cm high. 9. How does the volume change if you double a sphere s radius? m A goat was tethered to a post at X, the corner of a square paddock, of side 10 m, by a rope 10 m. The paddock was completely grassed. What is the percentage of available grass it could eat? 10m X

3 11. Calculate the area of this 4-pointed star. 3cm 6cm 3cm 6cm cm (a) hold. Calculate the total volume of ice-cream that this cone will 14cm (b) What is the surface area of the chocolate coating on the icecream that shows above the cone? 13. Dishwashing detergent is sold in bottles with a concentration of 200mg/l. (a) How many mg of active ingredient is in a 50ml bottle? (b) What will be the new concentration if I add this whole bottle to a 10 litre bucket of water? 14. A tent, of total height 3m, is constructed with a sewn-in canvas floor. Calculate the volume of air enclosed by the tent. 3m 2m 5m 5m

4 Year 10 Measurement: Test 2 Name: All working must be shown in order to gain full marks. 1. Darwin does not have daylight saving and in winter is the same time as Adelaide which is ½ hour behind both Melbourne and Sydney. (c) For Christmas Mandy is travelling to Darwin. She leaves Melbourne at 9.25am and flies for 1 hour before she has a ¾ hour stopover in Adelaide. Her journey then continues for a further 3½ hours. What time will she arrive in Darwin? (d) Keno left Darwin during the July holidays for a 5½ hour flight direct to Sydney. If he left at 11.40am what time will he arrive? 2. Find the area of these shapes: 3. Scott has a rectangular swimming pool which is 4 m wide and 7 m long. (a) How many litres will the pool hold if it is 2m deep? (b) What will be the area of a one metre wide path around the edge of the pool? 4. Find the total surface area of a golf ball with a radius of 18 mm.

5 5. Find the volume of these solids: 6. Find the total surface area of a rectangular prism 1.5 m by 2 m by 5 m. 7. What will be the cost of making a cylinder 40 cm long and 18 cm in diameter if the material costs 3 cents per cm 2? 8. Find the capacity (in ml) of a cylindrical container 8 cm in diameter and 40 cm high. 9. How does the volume change if you double a cone s base radius? m A goat was tethered to a post at X, the corner of a square paddock, of side 20 m, by a rope 20 m. The paddock was completely grassed. What is the percentage of available grass it could eat? 20m X

6 11. Calculate the area of this 4-pointed star. 5cm 5cm 12. (a) hold. Calculate the total volume of ice-cream that this cone will 17cm 13cm (b) What is the surface area of the chocolate coating on the icecream that shows above the cone? 13. Dishwashing detergent is sold in bottles with a concentration of 400mg/l. (c) How many mg of active ingredient is in a 50ml bottle? (d) What will be the new concentration if I add this whole bottle to a 10 litre bucket of water? 14. A tent, of total height 3m, is constructed with a sewn-in canvas floor. Calculate the volume of air enclosed by the tent. 3m 2m 4m 4m

Problem 1. A cuboid of length x, width 5 less than x and a height of half the length has a surface area of 250 cm 2. Show that 4x 2 15x 250 = 0

Problem 1. A cuboid of length x, width 5 less than x and a height of half the length has a surface area of 250 cm 2. Show that 4x 2 15x 250 = 0 Problem 1 Expand x(x+5) Write an expression for: 6 less than x Calculate the surface area of the cuboid Simplify 5x + x 2 + 8x + 3 + x 2 half of x 5 cm 8 cm 3 cm A cuboid of length x, width 5 less than