Primary 6 · Chapter 3
Connect percentages to fractions, find a percentage of a quantity, then follow problems where the whole changes. Try the questions below in order.
Self-paced lessons · Modelled on top school exam questions · No sign-up for the samples
The Percentage chapter
Watch · The introduction
Watch the explanation, then try a question for yourself.
Try · Modelled on top school exam questions
Try each question yourself first, then check your answer or compare it with the solution. These questions are written by Mathweave, not copied from school papers. No sign-up is needed.
Question 1 of 3
Try solving it yourself before opening the solution.
A hundred-square is made up of 100 small squares of the same size. 8% of the hundred-square is shaded. How many of the small squares are shaded?
Ans: 8 squares
Question 2 of 3
Try solving it yourself before opening the solution.
85% of the seats in a hall were filled for a concert. 340 seats were filled. How many seats are there in the hall altogether?
Ans: 400
Question 3 of 3
Try solving it yourself before opening the solution.
A suitcase is priced at $250. In a sale it is sold at 20% off the price. A member of the shop's club is given a further 10% off the sale price. How much is taken off the price of the suitcase altogether?
Ans: $70
Follow a lesson link beside a question, or browse the chapter below.
The chapter · Nine question types
A linked row opens a published lesson with its own film. Explore the explanation and available practice on that page.
Mixed practice, where the types return unannounced and unlabelled, is a chapter-level activity. It has no lesson page of its own.
The order · Three groups
Essential percentage skills
Finding the whole, and measuring a change
3.1 and 3.2
Word problems with a changing 100%
3.3 and 3.4
The number tells you where a question type sits in this chapter, not what your child needs to learn first. A child who has already met a type in school can practise it without working through the ones above it.
The papers · Modelled against top school papers
Paper 1 has 30 questions for 50 marks: 18 multiple-choice questions and 12 short-answer questions. Paper 2 has 15 questions for 50 marks: 5 short-answer questions and 10 structured or long-answer questions.
No paper leaves it out, and it runs at about a tenth of the marks. A Paper 1 percentage question is usually one direct step; the 3-mark items appear in Paper 2 and are usually a discount with GST added, a second change worked on the new amount, or a percentage read off a chart. More than half include a figure printed beside them, which is more than any other topic in the paper.
Close to half of Paper 2 questions combine two or more topics, most often percentage with ratio, fractions or a chart. Practice questions are not labelled by type, so children must choose the methods they need.
Everything here is modelled against top school papers. Those papers are never reproduced, and every question on this site is original.
Written working · Clear methods, line by line
These examples show Mathweave's clear, consistent layout for each method. The layout is informed by the answer keys we reviewed.
Parents · Asked and answered
The question types follow the latest MOE Primary Mathematics syllabus. The syllabus defines what is taught; the papers we model against show how it is examined.
Primary 6 adds only two percentage outcomes to the syllabus: finding the whole from a part, and finding a percentage increase or decrease. Taking a percentage of a quantity, and working a discount with GST, are Primary 5 knowledge needed for the later word problems, so the chapter teaches them first.
We write the questions ourselves rather than copy them from papers. Each chapter is modelled on the types of question that top school papers set. A question may look like one your child has met before because it is the same type.
Practice uses different numbers for each question type, points out the common mistake when your child makes it and records which types your child can complete independently.