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. Calculation errors carried forward are worked through to give credit for later working.
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. Take extra care when converting between units.
Maths questions might include graphs and tables as well as calculations. Don't forget to take a ruler and scientific calculator into the exam.
If drawing graphs, make sure you:
If you are asked to calculate an answer and it has lots of decimal places, don't forget to only use one more than the data in the question. For example, if whole numbers are given in the question, then your answer would be to one decimal place. 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.
A study looked at people's sodium intake - mostly in the form of salt - and rates of stomach cancer in populations of different countries.
A scatter diagram of the results of the study are shown below.
Discuss the results of the study. [1 mark]
There is a correlation between the intake of sodium (ions) and the death rate from stomach cancer - as the intake of sodium increases, the rate of stomach cancer increases also.
Suggest what might affect the validity of the study in investigating the effects of sodium intake. [4 marks]
Suggest what the scientists should do before drawing a firm conclusion about sodium ion intake, or salt intake, and stomach cancer. [1 mark]
A study in Switzerland investigated the relationship between the number of cigarettes smoked per day by mothers and the number of premature births.
Some of the results of the study are shown below:
|Number of cigarettes smoked by the mother per day||Number of babies born prematurely (%)|
|1 - 9||6.2|
|10 - 19||8.4|
Plot a histogram of the data. [4 marks]
Your histogram should look like this:
In an exam, the wording of the axis labels does not have to match precisely that of the graph above, but the labels must represent accurately the data plotted. Use the table headings as a guide.
As this is a histogram, the bars must not have gaps between them, as the x-axis is continuous.
The diameter of an alveolus can range in size from 200 to 400 μm.
Alveoli are roughly spherical.
The surface area of a sphere can be calculated using the formula:
The volume of a sphere can be calculated using the formula:
Where = pi use the value of as 3.14 for your calculations.
= the radius of the sphere.
In this example, assume that an alveolus is a perfect sphere.
Calculate the surface area to volume ratios of:
Show all your working. [6 marks]
Note that if the question says that you must show all the stages of your working out, then you must do that.
The radius of a circle is half the diameter.
For an alveolus 200 μm in diameter - radius 100 μm - the surface area to volume ratio is:
The surface area to volume ratio =
For an alveolus 400 μm in diameter:
The surface area to volume ratio =
The number of new cases of malignant skin cancer in the UK increased at a steady rate between 1975 and 2010.
|Year||Number of new cases per 100,000 of population|
Calculate the rate of increase in the number of new cases of malignant skin cancer. [3 marks]
The rate of increase is 0.41 cases per 100,000 of the UK population every year.
Increase in cases = Number of new cases per 100,000 of population in 2010 - Number of new cases per 100,000 of population in 1975
= 17.5 - 3.2 = 14.3
Rate of increase =