GCSE Density Practice Questions PDF

DENSITY [ESTIMATED TIME: 75 minutes] GCSE (+ IGCSE) EXAM QUESTION PRACTICE 1....

DENSITY [ESTIMATED TIME: 75 minutes] GCSE (+ IGCSE) EXAM QUESTION PRACTICE 1. [2 marks] 1. The mass of 4 m3 of copper is 35 800 kg. 1. Calculate The mass the of 4density of the copper. m3 of copper is 35 800 kg. 1. Calculate The mass the of 4density of the copper. m3 of copper is 35 800 kg. Calculate the density of the copper............................... kg/m3 (2) kg/m3.............................. (2) kg/m3.............................. 2. [2 marks] 2. The density of steel is 8050 kg/m3. (2) 2. Work out theofmass The density steelof m3 of is 58050 steel. kg/m 3. 2. Work out theofmass The density steelof m3 of is 58050 steel. kg/m 3. 3 Work out the mass of 5 m of steel..................................... kg (2).................................... kg (2).................................... kg 3. A gold chain has a volume of 4 cm3. 3. The density of gold is 19.3 grams per 3 (2) [2 marks] 3. A gold chain has a volume of 4 cm3. cm. Calculate the mass of is the 19.3gold chain. 3 3. The density A gold chainofhas gold a volume grams of 4 cmper 3 cm.. Calculate theofmass The density goldof is the 19.3gold chain. grams per cm3. Calculate the mass of the gold chain....................................... g (2)...................................... g (2)...................................... g (2) Contains questions which have been reproduced with the kind Questions compiled by: permission of Pearson Education Limited UK @Maths4Everyone  4. [2 marks] 4. The mass of a standard gold bar is 1000 grams. The density of gold is 19.3 grams per cm3. Work out the volume of a standard gold bar................................... cm3 (2) 5.5. The density of concrete is 2.4 g/cm3. [3 marks] 6. Work out the mass of a concrete slab which has a volume of 12 m3. Give your answer in kilograms. 2 cm 8 cm Diagram NOT accurately drawn 7 cm 3 cm 4 cm 5 cm The diagram shows a solid wooden block in the shape of a cuboid. 3 The block is made from4wood m with density 0.58 g/cm Work out the mass of the block. 3m.................................... kg (2) 12 cm 5m 8 cm 5 cm..................................................... g (3) -2-.................................. cm3 (2) 6. [2 marks] 5. The density of concrete is 2.4 g/cm3. Work out the mass of a concrete slab which has a volume of 12 m3. Give your answer in kilograms..................................... kg (2) 7. [3 marks] 4. The diagram shows a solid triangular prism. 12 cm 5 cm Diagram NOT 11 cm accurately drawn 6 cm 11 cm 8 cm 13 cm The prism is made from steel. The density of the steel is 7.9 grams per cm3. 5 cm 13 cm Calculate the mass of the prism. 9 cm -2- Give your answer in kilograms, correct to 3 significant figures. 4 cm 9 cm 12 cm 6 cm 14 cm........................................................ (3) 5. One sheet of A4 paper has dimensions 21.0 cm by 29.7 cm. The paper has a mass of 80 g per m2. Work out the total mass of 500 sheets of A4 paper. 8. [4 marks] 8. The diagram shows a solid rubber ball in the shape of a sphere. 5 cm Diagram NOT accurately drawn 16 cm The radius of the ball is 5 cm. The mass of the ball is 550 grams. An object will only float in water if its density is less than 1.0 g/cm3. Will this rubber ball float in water? You must show clear calculations to justify your answer. 0.3 cm 4 cm........................................................ (4) -7- 9. [5 marks] 9. The diagram shows a steel girder in the shape of a prism. Diagram NOT accurately drawn 180 cm The length of the girder is 180 cm. The cross sectional area of the girder is 18 cm2. The steel has a density 7.8 g/cm3. Justin has a pickup truck. The maximum load that Justin’s truck can carry is 500 kg. Find the maximum number of these steel girders that Justin can carry in his truck, without exceeding the maximum load......................................................... (5) -8-  10. [4 marks] 10. 200g of aluminium and 200g of copper are mixed to make 400g of an alloy. Aluminium has a density of 2.7 g/cm3. 10. 200g of has Copper aluminium a densityand of 200g of copper 8.9 g/cm 3. are mixed to make 400g of an alloy. 3 Aluminium Work out thehas a density density of alloy. of the 2.7 g/cm. Copper has a density of 8.9 g/cm3. Work out the density of the alloy............................................... g/cm3 (4).............................................. g/cm3 3 11. 11. Liquid A has a density of 0.7 g/cm. (4) [4 marks] Liquid B has a density of 1.6 g/cm3. 3 11. Liquid 140 g ofAliquid has a density A and 128of 0.7 g ofg/cm liquid. B are mixed to make liquid C. 3 Liquid B has Work out the adensity densityofofliquid 1.6 g/cm C.. 140 g of liquid A and 128 g of liquid B are mixed to make liquid C. Work out the density of liquid C............................................... g/cm3 (4).............................................. g/cm3 (4) -9- -9-  12. [4 marks] x. 4. The diagram shows a solid triangular prism. Brass is an alloy which is made by mixing copper and zinc. 12 cm Copper has a density of 8.9 g/cm3. Zinc has a density of 7.1 g/cm3. 5 cm 1 kilogram of brass is made by mixing 630 g of copper with 370 g of zinc. Work out the density of the brass. Diagram NOT 11 cm Give your answer correct to 1 decimal place. accurately drawn 6 cm 11 cm 8 cm 13 cm The prism is made from steel. The density of the steel is 7.9 grams per cm3. 5 cm 13 cm Calculate the mass of the prism. 9 cm Give your answer in kilograms, correct to 3 significant figures. 4 cm 9 cm 12 cm 6 cm 14 cm.............................................. g/cm3 (4)........................................................ 13. [4 marks] (3) 5. One sheet of A4 paper has dimensions 21.0 cm by 29.7 cm. The paper has a mass of 80 g per m2. Work out the total mass of 500 sheets of A4 paper. Give your answer in kilograms, correct to 3 significant figures......................................................... (4) -10- -5-  14. [4 marks] 12. Mia makes an orange drink by mixing orange concentrate with water. She mixes 15 ml of orange concentrate with 200 ml of water. 12. Mia Themakes densityanoforange drinkconcentrate the orange by mixing orange is 1.24 concentrate g/cm3. with water. She Themixes 15ofmlwater density of orange is 1.00concentrate g/cm3. with 200 ml of water. The Workdensity of density out the the orange concentrate of Mia’s drink. is 1.24 g/cm3. 3 The Givedensity of water your answer is 1.00tog/cm correct. 2 decimal places. Work out the density of Mia’s drink. Give your answer correct to 2 decimal places............................................... g/cm3 (3).............................................. g/cm3 3 (3) 13. 15. The density of apple juice is 1.05 grams per cm. [4 marks] The density of fruit syrup is 1.4 grams per cm3.3 13. The density of apple juice is 1.05 grams per cm. The density of carbonated water is 0.99 grams3 per cm3. The density of fruit syrup is 1.4 grams per cm. 25 cm3 of apple juice are mixed with 15 cm3 of fruit syrup 3 and 280 cm3 of carbonated water to The makedensity ofwith a drink carbonated a volumewater is 0.99 of 320 cm grams 3. per cm. 3 25 cm out Work of apple juice are the density mixed of the with 15 cm of fruit syrup and 280 cm3 of carbonated water to drink. 3 make a drink with a volume of 320 cm3. Give your answer correct to 2 decimal places. Work out the density of the drink. Give your answer correct to 2 decimal places............................................... g/cm33.............................................. g/cm (4) (4) -11- -12-  16. [5 marks] 14. The densities of two different liquids A and B are in the ratio 11 : 9 14. The Themass of 1 of densities mltwo of liquid B isliquids different 1.2 g. A and B are in the ratio 11:9 10 mlmass The of liquid A isofmixed of 1 ml liquidwith B is 20 1.2ml g. of liquid B to make 30 ml of liquid C. Work 10 mlout the density of liquid of liquid A is mixed withC.20 ml of liquid B to make 30 ml of liquid C. Work out the density of liquid C............................................... g/cm3 (4) g/cm3.............................................. 17. (4) [5 marks] 15. A solid snooker ball is made in the shape of a sphere. The ball has a mass of 156 g measured to the nearest gram. Its diameter is 57 mm measured to the nearest millimetre. Find the lower bound for the density of the ball. Give your answer correct to 3 significant figures............................................... g/cm3 (4) -13- -12- 18. [5 marks] 16. A solid metal bar is made in the shape of a cuboid. x cm Diagram NOT accurately drawn x cm y cm The cross-section of the bar is a square of side x cm. The length of the bar is y cm. The mass of the bar is M kg. x = 5.0 correct to 1 decimal place. y = 25 correct to the nearest whole number. M = 4.24 correct to 2 decimal places. Calculate the density of the metal, in g/cm3, that was used to make the bar. Give your answer to an appropriate degree of accuracy................................ g/cm3 (5) -13- 19. h [5 marks] x. A solid cone is made of wood. Diagram NOT 18 cm accurately drawn r cm The height of the cone is 18 cm. The mass of the cone is 0.98 kg The wood has a density of 0.43 g/cm3 Find the radius of the cone. Give your answer correct to 2 significant figures..................................... cm (5) -14- 20. [5 marks] 11. A solid sphere is made of glass. Diagram NOT accurately drawn x cm The mass of the sphere is 58.4 g The density of the glass is 2.6 g/cm3 Find the diameter of the sphere. Give your answer correct to 3 significant figures. 0.3 cm.................................... cm (5) -15- 21. [5 marks] x. A solid cube has a mass of 9.8 g. It has a density of 0.92 g/cm3. Find the surface area of the cube. Give your answer correct to 2 significant figures.................................... cm2 (5) -16- 22. [5 marks] x. A squash ball is made of rubber and is the shape of a sphere. Diagram NOT accurately drawn 4 mm 40 mm The mass of the ball 24 g. The external diameter of the ball is 40 mm. The thickness of the rubber is 4 mm. Assuming that the mass of air inside the ball is negligible, calculate the density of the rubber.................................g/cm3 (5) -17- 23. [5 marks] x. A 200 gallon steam kettle is used to make soup. The kettle is in the shape of a cylinder. Diagram NOT accurately drawn 67 cm 1.2 m The kettle has a diameter of 1.2 m. The depth of the soup in the kettle is 67 cm. The density of the soup is 1.15 g/cm3. The soup is to be dispensed into tins that hold 400 g of soup each. How many tins can be filled with the soup from the kettle? You must show all your working.......................................... (5) -18-