Free P5 Maths paper: Patterns and systematic listing
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 patterns and systematic listing; 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 patterns and systematic listing, across both papers, from one-mark multiple choice to a five-mark final question. Also in the paper: Volume, Fractions, Whole numbers, Triangles and quadrilaterals, Area and perimeter, Rate, Measurement, Percentage, Decimals, Data tables and graphs.
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 patterns and listing
Patterns and systematic listing test whether a child can find a rule and use it far along, or list every case without missing one. P5 papers set figure patterns, number patterns and counting the ways.
The mistakes this paper looks for
- Counting one step too many when finding the nth term
- Missing a case when listing, or counting one twice
- Extending the pattern by drawing instead of finding the rule
Try a question from this paper
Paper 1, Question 13 (2 marks). A square is divided into a 4 by 4 grid of small squares. How many squares of all sizes are there in the grid?
- 16
- 30
- 17
- 29
Show the answer
(2) 30
Count by size: 1 by 1: 16, 2 by 2: 9, 3 by 3: 4, 4 by 4: 1
Total: 30
What the report tells you
- The score for each paper and the total, with the PSLE Achievement Level band as a guide.
- Patterns and systematic listing 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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