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Science calculations

Maths questions often start with the command words 'Calculate...' or 'Determine...'. They will then have a blank space for you to show your working. It is important that you show your working; don't just write the answer down. You might earn marks for your working even if you get the answer incorrect.

In some maths questions you will be required to give the units. This may earn you an additional mark. Don't forget to check whether you need to do this.

Maths questions might include graphs and tables as well as calculations. Don't forget to take a ruler and calculator.

If drawing graphs, make sure you:

  1. put the independent variable on the x-axis and the dependent variable on the y-axis
  2. construct regular scales for the axes
  3. label the axes appropriately
  4. plot each point accurately
  5. decide whether the origin should be used as a data point
  6. draw a straight or curved line of best fit

If you are asked to calculate an answer and it has lots of decimal places, don't forget to use the same number of significant figures as the data in the question. For example, if two significant figures are used in the question, then usually your answer would also be to two significant figures. Don't forget to check your rounding.

These questions have been written by Bitesize consultants as suggestions to the types of questions that may appear in an exam paper.

Sample question 1 - Foundation

Question

Calculate the mean distance with and without caffeine to two decimal places. [2 marks]

AttemptDistance on ruler (cm)Distance on ruler (cm)
numberWithout caffeineWith caffeine
12518
23815
33622
43124
Mean
Attempt1
Distance on ruler (cm)25
Distance on ruler (cm)18
Attempt2
Distance on ruler (cm)38
Distance on ruler (cm)15
Attempt3
Distance on ruler (cm)36
Distance on ruler (cm)22
Attempt4
Distance on ruler (cm)31
Distance on ruler (cm)24
AttemptMean
Distance on ruler (cm)
Distance on ruler (cm)

Sample question 2 - Foundation

Question

Graph showing the upper and lower percentiles of height growth from age 0 to 20.

Identify the height of a boy aged 10 years on the 50th percentile? [1 mark]

Sample question 3 - Higher

Question

A baby boy is born in the 9th percentile for height. Explain what this means for him in terms of the rest of the population. [1 mark]