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Cambridge IGCSE Mathematics practice

MCQ practice - 1. Utilize and understand graphs in real-world contexts, including estimating and interpreting the gradient of a tangent at a specific point, as well as working with travel and conversion graphs. 2. Create graphs based on provided data. 3. Use the concept of rate of change in basic kinematics, focusing on distance-time and speed-time graphs, including acceleration and deceleration. 4. Determine the distance traveled by calculating the area under a speed-time graph, considering only linear segments of the graph. - Graphs in practical situations

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MCQ

Type

cambridge_mcq

Style

Topic

Graphs in practical situations

Exam-style question

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What does the gradient of a distance-time graph tell you?.

  1. A.The acceleration
  2. B.The speed
  3. C.The distance
  4. D.The time

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Maths method check

  • Topic focus: Graphs in practical situations.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Graphs in practical situations

Paper 2Core or Extended Mathematics3 marks

Diagram Description

Distance-Time Graph

The graph shows distance (in km) on the vertical axis and time (in hours) on the horizontal axis. The curve starts at the origin (0,0), rises steeply at first, then the slope decreases gradually.

Time (hours)Distance (km)
00
160
2100
3120
  1. a

    Calculate Estimate the speed of the car at t = 2 hours by finding the gradient of the tangent to the curve at that point.

    Aim for approximately 3 distinct marking points.

    [3]