Density, Mass & Volume – Higher – GCSE Questions These questions are the same format as previous GCSE exams.

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GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q3 A silver plate has a mass of 11.5 kg. The density of silver is 17.4 g/cm3 Work out the volume of the silver plate. Give your answer correct to 3 significant figures. 1 A silver plate has a mass of 11.5 kg. The density of silver is 17.4 g/cm3 Work out the volume of the silver plate. Give your answer correct to 3 significant figures. cm3 cm3 (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks) GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q3 Edexcel Higher: November 2017 Paper 3, Q3 1 A silver plate has a mass of 11.5 kg. The density of silver is 17.4 g/cm3 Work out the volume of the silver plate. Give your answer correct to 3 significant figures. 1 A silver plate has a mass of 11.5 kg. The density of silver is 17.4 g/cm3 Work out the volume of the silver plate. Give your answer correct to 3 significant figures. cm3 cm3 (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks)

GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q6 The density of orange juice is 1.05 grams per cm3. The density of syrup is 1.4 grams per cm3. The density of carbonated water is 0.99 grams per cm3. 25cm3 of orange juice are mixed with 15cm3 of syrup and 280cm3 of carbonated water to make a drink with volume 320cm3. Work out the density of the drink. Give your answer to 2 decimal places. 1 The density of orange juice is 1.05 grams per cm3. The density of syrup is 1.4 grams per cm3. The density of carbonated water is 0.99 grams per cm3. 25cm3 of orange juice are mixed with 15cm3 of syrup and 280cm3 of carbonated water to make a drink with volume 320cm3. Work out the density of the drink. Give your answer to 2 decimal places. g/cm3 g/cm3 (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q21 Joanne is trying to find the density, in g/cm3 , of a block of metal. The block of wood is in the shape of a cuboid. She measures the length as 11.4 cm, correct to the nearest mm the width as 18.0 cm, correct to the nearest mm the height as 15.5 cm, correct to the nearest mm She measures the mass as 2760 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy. You must show all your working and give a reason for your final answer. 1 Joanne is trying to find the density, in g/cm3 , of a block of metal. The block of wood is in the shape of a cuboid. She measures the length as 11.4 cm, correct to the nearest mm the width as 18.0 cm, correct to the nearest mm the height as 15.5 cm, correct to the nearest mm She measures the mass as 2760 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy. You must show all your working and give a reason for your final answer. (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2017 Paper 3, Q6 The density of orange juice is 1.05 grams per cm3. The density of syrup is 1.4 grams per cm3. The density of carbonated water is 0.99 grams per cm3. 25cm3 of orange juice are mixed with 15cm3 of syrup and 280cm3 of carbonated water to make a drink with volume 320cm3. Work out the density of the drink. Give your answer to 2 decimal places. g/cm3 (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: June 2018 Paper 2, Q21 1 Joanne is trying to find the density, in g/cm3 , of a block of metal. The block of wood is in the shape of a cuboid. She measures the length as 11.4 cm, correct to the nearest mm the width as 18.0 cm, correct to the nearest mm the height as 15.5 cm, correct to the nearest mm She measures the mass as 2760 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy. You must show all your working and give a reason for your final answer. (Total for Question 1 is 5 marks)

Volume = 𝑀𝑎𝑠𝑠 𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 11500 17.4 = 660.9195402 GCSE Edexcel Higher: November 2017 Paper 3, Q3 1 A silver plate has a mass of 11.5 kg. The density of silver is 17.4 g/cm3 Work out the volume of the silver plate. Give your answer correct to 3 significant figures. M D V Same Units: grams 11.5 kg = 11500 g Volume = 𝑀𝑎𝑠𝑠 𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 11500 17.4 = 660.9195402 3sf 661 cm3 (Total for Question 1 is 3 marks)

Density = 𝑀𝑎𝑠𝑠 𝑉𝑜𝑙𝑢𝑚𝑒 = 324.45 320 = 1.01390625 GCSE Edexcel Higher: June 2017 Paper 3, Q6 1 The density of orange juice is 1.05 grams per cm3. The density of syrup is 1.4 grams per cm3. The density of carbonated water is 0.99 grams per cm3. 25cm3 of orange juice are mixed with 15cm3 of syrup and 280cm3 of carbonated water to make a drink with volume 320cm3. Work out the density of the drink. Give your answer to 2 decimal places. M D V Orange Syrup Water Volume 25 15 280 Density 1.05 1.4 0.99 Mass 25 x 1.05 = 26.25 15 x 1.3 = 21 280 x 0.99 = 277.2 Total Mass = 26.25 + 21 + 277.2 = 324.45 Total Volume = 320 Density = 𝑀𝑎𝑠𝑠 𝑉𝑜𝑙𝑢𝑚𝑒 = 324.45 320 = 1.01390625 Round to 2 dp 1.01 g/cm3 (Total for Question 1 is 4 marks)

GCSE 11.35 < Length ≤ 11.45 17.95 < Width ≤ 18.05 Edexcel Higher: June 2018 Paper 2, Q21 1 Joanne is trying to find the density, in g/cm3 , of a block of metal. The block of wood is in the shape of a cuboid. She measures the length as 11.4 cm, correct to the nearest mm the width as 18.0 cm, correct to the nearest mm the height as 15.5 cm, correct to the nearest mm She measures the mass as 2760 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy. You must show all your working and give a reason for your final answer. M D V 11.35 < Length ≤ 11.45 17.95 < Width ≤ 18.05 15.45 < Height ≤ 15.55 Max. Volume = 11.45 x 18.05 x 15.45 = 3193.1…. Min.. Volume = 11.35 x 17.95 x 15.55 = 3168.04… 2757.5 < Mass ≤ 2762.5 𝑀𝑎𝑥 𝐷𝑒𝑛𝑠𝑖𝑡𝑦= 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑚𝑎𝑠𝑠 𝑙𝑒𝑎𝑠𝑡 𝑣𝑜𝑙𝑢𝑚𝑒 = 2762.5 3193… = 0.87 g/cm3 𝑀𝑖𝑛 𝐷𝑒𝑛𝑠𝑖𝑡𝑦= 𝑙𝑒𝑎𝑠𝑡 𝑚𝑎𝑠𝑠 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑣𝑜𝑙𝑢𝑚𝑒 = 2757.5 3168... = 0.87 g/cm3 (Total for Question 1 is 5 marks)

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