Free P4 Maths paper: Patterns and systematic listing
A full Paper 1 and Paper 2 at the level of a very hard P4 end-of-year paper, in the PSLE format, for Singapore P4 pupils. 29 of the 100 marks are on patterns and systematic listing; the rest cover the other P4 topics, as a real paper does.
Free. No sign-up to start. Untimed, like homework, and your answers save as you type. No calculator in either paper, as P4 pupils do not use one. 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 | No | 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: Whole numbers, Fractions, Symmetry, Area and perimeter, Decimals, Pie charts, Measurement, Nets and solids, 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 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. P4 papers set figure patterns, number patterns and counting the ways.
The mistakes this paper looks for
- Counting one step too many when finding a far 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 12 (2 marks). A strip is divided into 7 equal rectangles, as shown. How many rectangles of any size are there in the figure?
- 7
- 8
- 27
- 28
Show the answer
(4) 28
Count by the number of pieces: 1 piece: 7, 2 pieces: 6, 3 pieces: 5, 4 pieces: 4, 5 pieces: 3, 6 pieces: 2, 7 pieces: 1.
7 + 6 + 5 + 4 + 3 + 2 + 1 = 28
What the report tells you
- The score for each paper and the total, with the PSLE Achievement Level band as a guide, two years early.
- 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 taking a fraction of the wrong group or treating an hour as 100 minutes.
- 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.
Planning ahead for P5 and P6?
Wei Jie's crash courses start in the November before P6, the year of the PSLE, so there is no course for P4 yet. Until then, the free P5 papers are the next step up, and questions are welcome on WhatsApp.