Interpreting Graphs | Cazoom Maths Worksheets - Free Printable

Let’s go step by step through each section. We’re matching real-life situations to the correct graph shape. Remember:
- Distance vs Time graphs:
- Straight line = constant speed
- Curve getting steeper = accelerating (speeding up)
- Curve flattening out = slowing down

- For other graphs (birth rate, price, unemployment, etc.), we look at how the value changes over time:
- Rising steadily → straight upward slope
- Rising slowly then fast → curve that gets steeper
- Falling → downward slope
- Steps or drops → sudden decreases

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Section A: Distance vs Time Graphs

Graph A: Curve getting steeper → speeding up (accelerating)
Graph B: Straight line → constant speed
Graph C: Curve flattening → slowing down

1) Motorbike moving at constant speed → steady distance increase → B
2) Car accelerating → distance increases faster and faster → A
3) Cyclist starts fast, slows down → steep start, then flattens → C

✔ Answers for Section A:
1) B
2) A
3) C

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Section B: Other Real-Life Graphs

Graph A: Starts flat, then curves sharply up → slow rise, then dramatic rise
Graph B: Flat at first, then rises → steady then rising
Graph C: Rises, peaks, then falls → rose then fell
Graph D: Straight line up → rising steadily

1) Birth rate was steady but now rising → flat then goes up → B
2) Price of petrol rising steadily → straight line up → D
3) Unemployment rose slowly, now dramatically → starts gentle, then steep → A
4) Inflation rising steadily, now falling → went up, then turned down → C

✔ Answers for Section B:
1) B
2) D
3) A
4) C

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Section C: More Real-Life Graphs

Graph A: Straight line going down → falling steadily
Graph B: Goes up, peaks, comes down → like temperature in a day
Graph C: Straight line from zero → increasing steadily from nothing
Graph D: Stepwise drop → sudden drops (like drinking tea in sips)

1) Euros you can buy with £x → if pound weakens, you get fewer euros → likely falling steadily → A
*(Note: This assumes exchange rate is falling — common context)*
2) Housing prices falling steadily since 2011 → straight line down → A
Wait — both 1 and 2 might seem like A? Let’s think again.

Actually:
→ #1: “Number of Euros that can be purchased with £x” — this depends on exchange rate. If it’s changing steadily, it could be linear. But often, currency fluctuates — however, among options, A is best fit for steady fall.
But wait — maybe #1 is not necessarily falling? The question doesn’t say direction. Hmm.

Re-read:
“1) The number of Euros that can be purchased with £x.” — This implies as time passes, what happens? Without more info, we assume typical scenario where pound may weaken → so fewer euros → falling → A

But let’s check #2: “Price of housing has been falling steadily since 2011” → definitely A

Conflict? No — actually, looking again:

Graph A: straight line down → good for #2
Graph C: straight line up from origin → could be something starting at zero and growing
Graph D: steps down → perfect for “amount of tea being drunk” — you drink in sips, so amount left drops in steps
Graph B: rises then falls → perfect for daily temperature (rises during day, falls at night)

So:

1) Euros with £x — if we assume exchange rate is stable or changing slowly, but no clear trend given… Actually, in many textbook contexts, this is shown as a straight line if rate is fixed — but here all graphs show change over time. Maybe they mean as you spend pounds, you get euros? No — it says “with £x”, meaning total available.

Actually, rethinking: Perhaps #1 is meant to be a direct proportion — more pounds = more euros → straight line from origin → C

Yes! That makes sense. If you have more money (£x), you can buy more euros — so it’s proportional → straight line from (0,0) → C

Then:

2) Housing prices falling steadily → straight line down → A
3) Temperature in 24 hours → rises to midday, falls after → B
4) Tea in cup being drunk → you drink in gulps, so level drops in steps → D

✔ Final Answers for Section C:
1) C
2) A
3) B
4) D

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Final Answer:
Section A: 1) B, 2) A, 3) C
Section B: 1) B, 2) D, 3) A, 4) C
Section C: 1) C, 2) A, 3) B, 4) D