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Variables, Fair Tests and Drawing Conclusions — Answers

Answer sheet with model answers and success criteria for the Year 7 working scientifically worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Science · Working Scientifically

Variables, Fair Tests and Drawing Conclusions — Answers

Part A: Name the variable

Circle the type of variable described.

A variable is anything that can change in an investigation.

The independent variable is the one you change on purpose. The dependent variable is the one you measure or observe, because it may depend on the change you made. Controlled variables are everything else that could affect the result, so you keep them the same.

A test is fair when only the independent variable changes. Then any difference in the dependent variable can be linked to that one change.

Scientists repeat each test (usually at least three trials) and calculate an average. Repeating makes results more reliable and helps you spot an outlier, a result that does not fit the pattern.

1.Mia investigates whether the amount of light affects how tall bean plants grow. The amount of light is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: independent variable

It is the variable Mia chooses to change.

2.In Mia's investigation, the height of the plants is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: dependent variable

It is the variable she measures to see the effect of the change.

3.In Mia's investigation, the volume of water each plant receives is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: controlled variable

It must be kept the same for every plant so it cannot affect the results.

4.Leo tests how the height a ball is dropped from affects how high it bounces. The type of ball is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: controlled variable

Leo should use the same ball every time so that only the drop height changes.

5.In Leo's test, the bounce height is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: dependent variable

Bounce height is what he measures.

6.In Leo's test, the drop height is the …
  1. Aindependent variable
  2. Bdependent variable
  3. Ccontrolled variable

Answer: independent variable

Drop height is what he deliberately changes.

Part B: True or false?

Write T for true or F for false.

7.Changing two variables at once makes a test fairer.

Answer: False

If two things change, you cannot tell which one caused any difference in the results. A fair test changes only one variable.

8.Repeating trials helps to make results more reliable.

Answer: True

Repeats reduce the effect of small random errors and make outliers easier to spot.

9.If the independent variable is a category, such as type of surface (carpet, tiles, grass), a column graph is the best choice.

Answer: True

Categories have no in-between values, so separate columns are used. When both variables are measured numbers, a line graph is used.

Part C: Analyse an investigation

Use the results below to answer the questions.

Investigation: Does the wing length of a paper helicopter affect how long it takes to fall to the floor?

Each helicopter was made from the same type of paper with one paperclip attached, and was dropped from a height of 2 m. The same student timed every drop with a stopwatch.

Results — time to fall (seconds)

Wing length 4 cm: trial 1 = 1.2, trial 2 = 1.4, trial 3 = 1.3, average = 1.3

Wing length 6 cm: trial 1 = 1.7, trial 2 = 1.6, trial 3 = 1.8, average = 1.7

Wing length 8 cm: trial 1 = 2.1, trial 2 = 2.3, trial 3 = 2.2, average = ?

Wing length 10 cm: trial 1 = 2.6, trial 2 = 2.5, trial 3 = 2.7, average = 2.6

10.What is the independent variable in this investigation?

Answer: The wing length of the paper helicopter.

11.What is the dependent variable?

Answer: The time taken for the helicopter to fall to the floor.

12.List three controlled variables.

Answer: Any three of: the drop height (2 m), the type of paper, the number of paperclips (one), the same person timing, the same stopwatch, the wing width or shape, dropping in the same place (away from moving air).

13.Calculate the missing average for the 8 cm wings.

Answer: 2.2 seconds

  1. 2.1 + 2.3 + 2.2 = 6.6
  2. 6.6 ÷ 3 = 2.2 s
14.In another run with the 6 cm wings, the three times were 1.7 s, 1.6 s and 2.9 s. Which result is an outlier, and what could have caused it?

Answer: 2.9 s is the outlier because it is much longer than the other two. Possible causes: the stopwatch was stopped late, the helicopter drifted sideways in moving air, or it caught on something as it fell. It should be repeated rather than included in the average.

15.What type of graph should be used to show these results? Give a reason.

Answer: A line graph, because both the wing length and the fall time are measured numbers (continuous data).

16.Write a hypothesis that this investigation could test.

Answer: Model: If the wing length increases, then the helicopter will take longer to fall, because larger wings push against more air (more air resistance).

Part D: Conclusion

17.Write a conclusion for the paper helicopter investigation. Use data from the table, and say whether the results support your hypothesis.[4 marks]

Model answer: As the wing length increased from 4 cm to 10 cm, the average time to fall increased from 1.3 s to 2.6 s. Every increase in wing length gave a longer average fall time, so helicopters with longer wings fall more slowly. This supports the hypothesis that longer wings make the helicopter take longer to fall. The pattern has only been shown for wing lengths between 4 cm and 10 cm.

Success criteria:

  • Describes the trend (longer wings, longer fall time)
  • Quotes data from the table, including units
  • Links the result back to the hypothesis
  • Does not claim more than the data shows
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Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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