Maths questions
Maths questions will appear throughout both exam papers, and at both Foundation tier and Higher tier.
Don't forget to take a ruler and calculator into the exam.
Maths questions often start with the command word 'Calculate', followed by a blank space for 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 wrong.
Always include the correct units for your answer, unless they are already given on the answer line. This may earn you an additional mark.
Check carefully to see if the question tells you to round your answer to a particular number of significant figures or decimal places. Don't forget to check your rounding.
Other command words you might see in maths questions include:
- 'predict' - look at some data and suggest an outcome - don't just guess, look at trends in the data and use your scientific knowledge and understanding to make a sensible suggestion
- 'estimate' - suggest a rough value without doing a calculation - don't just guess, use your scientific knowledge and understanding to make a sensible suggestion
- 'show' -write down the details, steps or calculations to prove that an answer is correct
Maths questions might include tables and graphs as well as calculations. When drawing a graph, make sure you:
- put the independent variable (the factor you changed) on the x-axis
- put the dependent variable (the factor you measured) on the y-axis
- construct regular scales for the axes
- label each axis with the quantity and units, eg time (s)
- plot each point accurately
- decide whether the origin (0,0) should be used as a data point
- draw a straight or curved line of best fit if appropriate.
These questions have been written by Bitesize consultants as suggestions to the types of questions that may appear in an exam paper.
Learn maths skills with Dr Alex Lathbridge
Listen to the full series on BBC Sounds.
Brush up on the maths you need for your exam - percentages, averages and converting units.
Sample question 1 - Foundation
Question
What is the balanced chemical equation for the combustion of methane?
Put a tick (✔) in the box next to the correct statement. [1 mark]
| A | CH4 + O2 → CO2 + H2O | |
| B | CH4 + 2O2 → CO2 + H2O | |
| C | CH4 + 2O2 → CO2 + 2H2O | |
| D | CH4 + O2 → CO2 + 2H2O |
| A |
|---|
| CH4 + O2 → CO2 + H2O |
| B |
|---|
| CH4 + 2O2 → CO2 + H2O |
| C |
|---|
| CH4 + 2O2 → CO2 + 2H2O |
| D |
|---|
| CH4 + O2 → CO2 + 2H2O |
| A | CH4 + O2 → CO2 + H2O | |
| B | CH4 + 2O2 → CO2 + H2O | |
| C | CH4 + 2O2 → CO2 + 2H2O | ✔ |
| D | CH4 + O2 → CO2 + 2H2O |
| A |
|---|
| CH4 + O2 → CO2 + H2O |
| B |
|---|
| CH4 + 2O2 → CO2 + H2O |
| C |
|---|
| CH4 + 2O2 → CO2 + 2H2O |
| ✔ |
| D |
|---|
| CH4 + O2 → CO2 + 2H2O |
Sample question 2 - Higher
Question
Propane burns in air to form carbon dioxide and water. The chemical equation for this reaction is:
C3H8 + 5O2 → 3CO2 + 4H2O
Use the bond energies in the table to calculate the energy required to break the bonds in the reactant molecules. Show your working. [1 mark]
| Bond | Bond energy |
| C-C | 348 kJ/mol |
| C-H | 412 kJ/mol |
| O=O | 498 kJ/mol |
| Bond | C-C |
|---|---|
| Bond energy | 348 kJ/mol |
| Bond | C-H |
|---|---|
| Bond energy | 412 kJ/mol |
| Bond | O=O |
|---|---|
| Bond energy | 498 kJ/mol |
2 × [C-C] + 8 × [C-H] + 5 × [O=O]
= 2 × 348 + 8 × 412 + 5 × 498
= 696 + 3296 + 2490
= 6482 kJ/mol [1]
Sample question 3 - Higher
Question
Hydrogen reacts with bromine to form hydrogen bromide. The chemical equation for the reaction is:
H2 + Br2 → 2HBr
a) Use the bond energies below to calculate the energy change of the reaction between hydrogen and bromine. Show your working. [3 marks]
| Bond | Bond energy |
| H-H | 434 kJ/mol |
| Br-Br | 193 kJ/mol |
| H-Br | 366 kJ/mol |
| Bond | H-H |
|---|---|
| Bond energy | 434 kJ/mol |
| Bond | Br-Br |
|---|---|
| Bond energy | 193 kJ/mol |
| Bond | H-Br |
|---|---|
| Bond energy | 366 kJ/mol |
b) Is the reaction exothermic or endothermic? [1 mark]
a)
- energy required to break bonds = [H-H] + [Br-Br] = 434 + 193 = 626 kJ/mol [1]
- energy released by bonds made = 2 × [H-Br] = 2 × 366 = 732 kJ/mol [1]
- overall energy change = 626 - 732 = -106 kJ/mol [1]
b) The reaction is exothermic. [1]