All concepts combined
Primary 5 Percentage study guide: the whole chapter, step by step
About this subtopic
This mixed practice stop brings together 5 topics from Primary 5 Percentage: Out of a hundred, Three spellings, Part as a percentage, A percentage of a quantity, Discount, then GST. Nothing on the question says which topic it comes from, so choosing the method is part of the skill.
Practice questions with worked solutions
Question 1 is free to try. The other 7 open in the free trial, each with its full working.
Basic
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7 more questions, each with its full working.Answers checked, progress kept, wrong ones come back in revision. No card needed.
Start the 7-day free trialQuestion 1 of 8 · Basic · free to tryA mosaic is made of 250 square tiles of the same size, and 60 of the tiles…A mosaic is made of 250 square…
A mosaic is made of 250 square tiles of the same size, and 60 of the tiles are blue. A second mosaic is made of 400 tiles of the same size, and 36% of them are blue. (a) What percentage of the first mosaic's tiles are blue? (b) How many more blue tiles are in the second mosaic than in the first?
Show the working and the answer
Working
- a part as a % = part/whole × 100%
- blue tiles in the first mosaic, as a percentage = 60/250 × 100% = 24%
- x% of a whole = x/100 × the whole
- blue tiles in the second mosaic = 36/100 × 400 = 144 tiles
- difference = 144 − 60 = 84 tiles
Answer: (a) 24%; (b) 84 tiles
For parents
How should my child approach P5 percentage mixed practice?
Each question here uses two of the Primary 5 Percentage outcomes in a row.
What your child learns here
Each question here uses two of the Primary 5 Percentage outcomes in a row. A part is written as a percentage and then compared, a discount rate is found and then carried to another item, GST is added after a discount, or a percentage of what remains follows a percentage of the whole. Your child keeps track of which whole each percentage is of, because that whole often changes between the two steps.
- A percentage is always of a whole: ask what 100% stands for before using any percentage.
- A part out of a whole is written as a percentage by making the whole 100.
- GST is a percentage of the price after any discount, not of the original price.
- A percentage of the remaining amount is smaller than the same percentage of the whole.
- When two groups overlap, the percentages can add to more than 100%, and the extra is the part in both.
Does the answer make sense?
In Question 1, 60 blue tiles out of 250 is 24%. The second mosaic has 36% of 400, which is 144 blue tiles, so it has 84 more. A bigger mosaic with a bigger percentage must have more blue tiles, and 144 is more than 60.
How to practise these questions
Question 1, free to everyone, is the one Basic question: two mosaics of different sizes, one giving its blue tiles as a number and one as a percentage, and your child compares them. The other seven are Intermediate. Three involve discounts: a discount rate found from two prices with GST then added, a wardrobe priced as a percentage of a set before a discount and GST, and a discount rate carried from a workbench to a cabinet. One takes 40% of the mangoes left after 25% were sold. One reads a table of library books, one finds pupils in both a choir and a band, and one keeps cordial at the same strength. Ask your child to name the whole beside each percentage.
Questions parents ask
Why can't my child add the discount and GST percentages together? They are percentages of different amounts. The discount is of the original price and GST is of the price after the discount, so the two steps are worked in order.
How can two percentages in one question add up to more than 100%? When some people are counted in both groups. If 68% are in the choir and 52% are in the band, the 20% over 100% are the pupils in both.
What does 40% of the remaining mangoes mean? It is 40% of what is left after the first sale, not of all the mangoes. With 75% left, 40% of that is 30% of the whole.