Graphs in practical situations: past paper questions

Where the questions come from

• Question 7May/June 2026, paper 31Structured3 marksHas a diagram

  The travel graph shows the journey of a train from Central station to Parkway station. For how many minutes does the train stop between Central and Parkway?

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• Question 16Oct/Nov 2025, paper 31Structured5 marksHas a diagram

  Bob travels from town $A$ to town $B$. The travel graph shows his journey. Between which two times did Bob stop for a rest?

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• Question 9Oct/Nov 2024, paper 31Structured6 marks

  Samir leaves home at 2 pm. He jogs 6 km to a café at a constant speed of 8 km per hour. He stops to rest for 1 hour.

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• Question 5Oct/Nov 2023, paper 31Structured8 marksHas a diagram

  A railway line has three stations, Town, Port and Cove. Train $A$ leaves Town for Cove and train $B$ leaves Cove for Town. Both trains stop at Port.

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• Question 15May/June 2026, paper 33Structured6 marksHas a diagram

  Tom leaves Alton at 0800 and drives to Newtown. The travel graph shows Tom’s journey. Find how long it takes Tom to reach Newtown.

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• Question 28Oct/Nov 2025, paper 33Structured3 marks

  The travel graph shows Chi’s journey from home to the station. Calculate Chi’s average speed for the whole journey.

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• Question 3May/June 2024, paper 11Structured2 marksHas a diagram

  The travel graph shows the journey of a bus. Find the distance the bus travels in the first 50 minutes.

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• Question 1Oct/Nov 2023, paper 33Structured12 marksHas a diagram

  Tom has a restaurant bill.

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• Question 10May/June 2025, paper 11Structured5 marksHas a diagram

  Ky cycles from his office to a meeting and back again. The travel graph shows his time at the meeting and his journey back. How far is the meeting from his office?

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• Question 8May/June 2023, paper 31Structured9 marks

  Two friends, Diego and Javier, meet at a swimming pool. The travel graph shows Diego’s journey by bicycle from his home to the swimming pool. Calculate Diego’s speed for his journey from his home to the swimming pool.

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• Question 4May/June 2025, paper 33Structured3 marks

  Tim drives home from work. The travel graph shows his journey. Write down the time Tim leaves work.

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• Question 3May/June 2023, paper 32Structured11 marks

  50 Australian dollars = 540 South African rands On the grid, draw a conversion graph between Australian dollars and South African rands.

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• Question 2May/June 2023, paper 33Structured17 marks

  A shop sells food and drink. Bananas cost $1.20 per kilogram and apples cost $2.25 per bag. Work out the total cost of 3.5kg of bananas and 2 bags of apples.

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• Question 4May/June 2023, paper 33Structured12 marksHas a diagram

  A boat sails from $A$ to $B$. The travel graph shows this journey. Write down the time that the boat leaves $A$.

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