Free P5 Maths paper: Percentage
A full Paper 1 and Paper 2 at the level of a hard P5 end-of-year paper, in the PSLE format, for Singapore P5 pupils. 29 of the 100 marks are on percentage; the rest cover the other P5 topics, as a real paper does.
Free. No sign-up to start. Untimed, like homework, and your answers save as you type. Paper 2 follows Paper 1. The score shows the moment Paper 2 is handed in, and a parent can unlock the full diagnosis and have it emailed.
What is in the paper
| Questions | Marks | Calculator | Time | |
|---|---|---|---|---|
| Paper 1 multiple choice, then short answers | 30 | 50 | No | 1 h 10 min |
| Paper 2 short answers, then structured questions | 15 | 50 | Yes | 1 h 20 min |
The focus: 29 marks on percentage, across both papers, from one-mark multiple choice to a five-mark final question. Also in the paper: Rate, Volume, Measurement, Fractions, Whole numbers, Triangles and quadrilaterals, Area and perimeter, Decimals, Data tables and graphs, Angles.
Timing is up to you. Sit it in one go against the PSLE times for exam practice, or spread it over a few evenings as class homework is.
Where the marks go in percentage
P5 is the first year of percentage: a percentage of an amount, discount, GST and a year's interest. Each step has its own 100%: a discount comes off the usual price, GST is charged on the price after the discount, and a further discount is taken off the sale price, not the usual price.
The mistakes this paper looks for
- Adding two discounts when the second is taken off the sale price
- Charging GST on the food alone when a service charge is added first
- Averaging two percentages when the two groups are not the same size
Try a question from this paper
Paper 1, Question 11 (2 marks). In a school, 30% of the pupils are girls. 80% of the girls and 20% of the boys walk to school. What percentage of all the pupils walk to school?
- 100%
- 50%
- 24%
- 38%
Show the answer
(4) 38%
Take 100 pupils: 30 girls and 70 boys.
Girls who walk: 80% of 30 = 24. Boys who walk: 20% of 70 = 14.
38 of the 100 pupils walk: 38%
What the report tells you
- The score for each paper and the total, with the PSLE Achievement Level band as a guide.
- Percentage skill by skill, apart from the rest of the paper.
- What we diagnosed: the mistakes the wrong answers point to, such as stopping a step early or taking a fraction of the wrong whole.
- Three things to work on, and every question with its correct answer.
The score is free for everyone. The full diagnosis is sent to a parent's email, and nothing else is done with the details.
20 seats. One paper a day.
November to December is the P3 to P5 syllabus, for children entering P6: one full paper a day, marked before class, and a report like this to parents every night.
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