P5 Maths: Percentages (1) - Understanding Percent (Paper 1 (basics))

P5 Maths: Percentages (1) – Understanding Percent (Paper 1 (basics))

2026-11-15

Tutor Prep Guide · What a percentage means (parts per hundred), converting between percentages and fractions, converting between percentages and decimals, finding a percentage of a quantity, comparing sizes and common place-value slips

P5 Maths: Percentages (1) – Understanding Percent (Paper 1 (basics))

Ten introductory percentage questions on what a percentage means, converting to and from fractions and decimals, finding a percentage of a quantity and comparing sizes, with answers and one-line notes.

Level: Primary 5 Maths; format: meaning of percent, converting percentages to and from fractions and decimals, finding a percentage of a quantity, comparing sizes, increases and decreases, and error diagnosis.　Primary 5 percentage practice: ten questions on the meaning of percent, converting to and from fractions and decimals, finding a percentage of a quantity, comparing sizes, simple increases and decreases, and common place-value slips, each with an answer and a one-line note.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P5 Maths: Percentages (1) – Understanding Percent
Level	P5

02　Questions (10 items)

FoundationWhat is 50% as a fraction in its simplest form?
FoundationWhat is 25% as a fraction in its simplest form?
FoundationWhat is the decimal 0.4 as a percentage?
IntermediateWhat is the fraction 3/5 as a percentage?
IntermediateWhat is the decimal 0.125 as a percentage?
IntermediateWhat is 25% of 80?
ChallengeWhat is 30% of 240?
ChallengeWhat is 15% of 200?
ChallengeA ribbon is 250 cm long and 40% of it is used. How many centimetres are used?
Error redoA student says “30% is just 30”. What is wrong?

03　Answers and one-line notes

#	Answer	One-line note
1	1/2.	A percentage counts parts per hundred, so 50% is 50/100, which simplifies to 1/2.
2	1/4.	Divide the top and the bottom of 25/100 by 25 to get 1/4, that is one quarter.
3	40%.	Multiply a decimal by 100 and add the percent sign: 0.4 x 100 = 40.
4	60%.	Make the denominator 100: 3/5 = 60/100, which is 60%.
5	12.5%.	0.125 x 100 = 12.5; a percentage may contain a decimal, it need not be a whole number.
6	20.	25% is one quarter, and 80 / 4 = 20; the same as 80 x 0.25.
7	72.	Write 30% as 0.3 first, then 240 x 0.3 = 72.
8	30.	200 x 0.15 = 30; turn the percentage into a decimal before multiplying, never multiply by 15.
9	100 cm.	250 x 0.4 = 100, leaving 150 cm.
10	30% is 0.3, that is 30 parts out of every 100, not the whole number 30.	The percent sign means divide by 100: 30% = 30 / 100 = 0.3, so use 0.3 and not 30.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

Ask first what whole a percentage is taken from. When the question says “of”, multiply; when it asks what fraction one value is of another, divide the part by the whole. The percent sign is notation only, so the decimal is what does the work. Convert to decimals or fractions before comparing, and multiply step by step for two successive changes instead of adding the percentages.Tutor Registration →

Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.