Discia GCSE Maths › Ratio and Proportion › Speed and Density

Speed and Density worksheet

8 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

8 questions 24 marks Sheet 1
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  1. 3 marks

    A cuboid of nickel has length \(11\) cm, width \(8\) cm and height \(2\) cm. The nickel has a density of \(9\) g/cm\(^3\).

    Work out the mass of the cuboid in grams.

  2. 3 marks

    A coach travels \(170\) km at an average speed of \(60\) km/h.

    Calculate how long the coach takes to travel this distance.

    Give your answer in hours and minutes.

  3. 3 marks

    The first stage of a journey takes \(1\) hour at an average speed of \(60\) km/h. The second stage takes \(4\) hours at an average speed of \(90\) km/h.

    Calculate the average speed for the whole journey.

  4. 3 marks

    Two solid blocks are made from different materials.

    Block \(A\) has a mass of \(120\) g and a volume of \(24\) cm\(^3\).

    Block \(B\) has a mass of \(108\) g and a volume of \(12\) cm\(^3\).

    Which block is made from the denser material?

    Explain your answer.

  5. 3 marks

    A solid block of nickel is a cuboid measuring \(9\) cm by \(12\) cm by \(5\) cm.

    The density of nickel is \(9\) g/cm\(^3\).

    Work out the mass of the block.

    Give your answer in grams.

  6. 3 marks

    A train travels \(240\) km at an average speed of \(75\) km/h.

    Work out how long the train takes to travel this distance.

    Give your answer in hours and minutes.

  7. 3 marks

    Hafsa drives for \(1\) hour at an average speed of \(90\) km/h.

    She then drives for \(4\) hours at an average speed of \(75\) km/h.

    Calculate her average speed for the whole journey.

  8. 3 marks

    Two solid blocks are made from different materials.

    Block \(A\) has a mass of \(112\) g and a volume of \(28\) cm\(^3\).

    Block \(B\) has a mass of \(36\) g and a volume of \(4\) cm\(^3\).

    Which block is made from the denser material?

    Give a reason for your answer.

Answers

  1. \(1584\ \text{g}\)
  2. \(2\) hours \(50\) minutes
  3. \(84\ \text{km/h}\)
  4. Block B
  5. \(4860\ \text{g}\)
  6. \(3\) hours \(12\) minutes
  7. \(78\ \text{km/h}\)
  8. Block B

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