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Class 4 maths olympiad preparation

5 full papers on the International Mathematics Olympiad blueprint: 35 questions, 40 marks, 60 minutes. Timed like the real thing, and every wrong answer tells you which mistake it came from instead of just turning red.

What a class 4 paper looks like

35
questions
40
marks
60
minutes
SectionQuestionsMarks eachSection total
Logical Reasoning10110
Mathematical Reasoning10110
Everyday Mathematics10110
Achievers Section5210
Whole paper3540

Five Achievers questions carry 2 marks each, so a seventh of the questions is worth 25% of the paper. That is the whole reason a rank and a good score are not the same thing.

One class 4 Achievers question

The section that decides the rank, so it is the one worth showing. Have a go before opening the answer. The other 34 questions on this paper, and the rest of the 175 written for class 4, are behind the paper itself. How Achievers questions work.

5 pointsQuestion 33

Five books stand side by side in order on a shelf, volume 1 on the left. A bookworm eats in a straight line from page 1 of volume 1 through to the last page of volume 5. How many covers does it eat through?

Show the answer and how to see it

Answer: 8

Picture the books actually standing on the shelf. Page 1 of volume 1 is at the RIGHT-hand side of that book, right next to volume 2, and the last page of volume 5 is at its LEFT-hand side. So the worm starts just inside volume 1's back cover and stops just inside volume 5's front cover: it never touches volume 1's front cover or volume 5's back cover at all.

Why a child picks 10: 10 counts both covers of all five books. The worm starts and finishes INSIDE the two outer books, so two of those covers are never reached.

Sit the whole paper this came from

Questions parents ask

How many questions are on a class 4 maths olympiad paper?

Our class 4 papers carry 35 questions for 40 marks in 60 minutes: 10 Logical Reasoning, 10 Mathematical Reasoning, 10 Everyday Mathematics, 5 Achievers Section. The first three sections are worth 1 mark each and the five Achievers questions are worth 2.

Why is the Achievers Section worth more?

Because it is where the rank is decided. Five questions at 2 marks is 10 of the 40 marks on the paper, so a child who skips them has capped their score at 75% before starting.

Is there a negative mark for a wrong answer?

Not in our papers. A blank and a wrong answer score the same, so there is never a reason to leave a question unanswered. Check the current official rules at Science Olympiad Foundation for the real exam.

How long should a class 4 child spend on each question?

60 minutes for 35 questions is a little under 102 seconds each on average, but that average is misleading. The first three sections should go faster than that, precisely so the five Achievers questions can go slower.

What is the difference between Mathematical Reasoning and Everyday Mathematics?

Mathematical Reasoning asks whether a child can do the maths. Everyday Mathematics asks whether they can find the maths inside a paragraph about money, time or measurement. Plenty of children can do one and not the other, which is why they are scored apart.

How many practice papers do you have for class 4?

5 complete papers, which is 175 questions for this class alone, out of 1,350 across classes 3 to 8. Every one was written by hand rather than generated, and every answer key is recomputed by a second independent route before it ships.

Do the questions repeat between papers?

No. Every new question is checked against all 1,350 already in the bank by two independent models before it is accepted, and anything they both call the same problem is thrown out rather than reworded.

Does my child need to know anything beyond the class 4 syllabus?

Rarely in content, often in demand. The topics are ones a class 4 child has met, but a question may combine two of them, or ask for the condition under which something is true instead of asking for a value.

What does a wrong answer tell us?

More than the score does. Every wrong option in our papers is built from a specific mistake, and the paper names it: a unit missed, a factor confused with a multiple, an intermediate step answered instead of the question. That is the part a downloadable past paper cannot give you.

Is this the official SOF paper?

No. These are our own questions written on the International Mathematics Olympiad blueprint, and we are not affiliated with Science Olympiad Foundation. The official papers, dates and rules are at their site.

Sit a full class 4 paper

35 questions, 60 minutes, scored at the end with every answer explained.

Choose a paper
Other classes: class 3, class 5, class 6, class 7, class 8.

Blueprint from the Science Olympiad Foundation. We are not affiliated with them and these questions are our own.