Ratios are a useful way of expressing the proportion of quantities in a mix, without having to specify the entire quantity. So if I’m making ham and cheese sandwiches (with one slice of ham and one of cheese per sandwich) I will require two slices of bread for every one slice of ham and one slice of cheese. I need slices of ham, cheese and bread in the ratio 1:1:2 – and that ratio never changes regardless of the total number of sandwiches required.

Typically in questions, you will be given an original amount that must be split into a given ratio.

Ratios question in transfer test



The colon in a ratio is read “to”. So ‘2:1’ is read as “two to one”, or “two parts to one part”. This is a crucial concept - that the ratio describes how many equal parts each share gets. Consider the following question;


Transfer Test Ratios Sample Question 1


Another crucial point to note in ratios is the order of the words. The order that the words appear in is matched to the order that the numbers appear in.


Transfer Test Ratios Sample Question 2


The first step to solving this type of question is to add the various parts of the ratio together (2+1) this case...

Transfer Test Ratios Sample Question 3


Now that you have calculated the number of equal parts or shares, 3, you can divide the original quantity (£900) by the total number to find out what each equal part is worth...


Transfer Test Ratios Sample Question 4


Now that we know how much one part is worth, we can work out what two parts is worth by multiplying this by two...

Transfer Test Ratios Sample Question 5




Simple as that. When the ratio quantities are larger and when the original amount is less of a whole number these questions become more of a challenge in division, so once again the basic skill of times-tables and division becomes important. Consider a second version of this question...


sample question pptc transfer test ratios





[hint: In the second example John gets £248 - ((434÷7) x 4)]


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