Class 3 Maths Olympiad: 35 Practice Questions with Answers
Try 35 free Class 3 Maths Olympiad practice questions, with the correct answers and explanations immediately below each question. You do not need to download a file or sign in. You can work through the questions on screen or print this page.
This original practice set covers number sense, four-digit numbers, arithmetic, word problems, basic fractions, measurements, time, money, geometry, data and logical reasoning. It is designed as a learning resource, not an official past examination paper. For the organiser’s current learning scope, see the School Connect Olympiad Class 3 Maths chapters and 2026 syllabus.
How to practise
- Read the question and choose an answer before looking at the explanation.
- Explain the method using numbers, a drawing or objects.
- Check the clearly displayed answer and find out why it works.
- If a question is difficult, practise that topic rather than memorising the letter.
- You can solve a few questions at a time instead of completing the set in one sitting.
Number sense
Question 1. What is the value of 6 in 6,482?
A. 6 | B. 60 | C. 600 | D. 6,000
Answer: D. 6,000. The 6 is in the thousands place, so it represents 6,000.
Question 2. Which number is the greatest?
A. 5,072 | B. 5,702 | C. 5,270 | D. 5,027
Answer: B. 5,702. All have five thousands, but 5,702 has the greatest hundreds digit.
Question 3. What is the smallest four-digit number using 2, 0, 7 and 5 exactly once?
A. 2,057 | B. 2,507 | C. 5,027 | D. 2,075
Answer: A. 2,057. Start with the smallest possible non-zero thousands digit (2), then arrange the rest in ascending order: 0, 5, 7.
Question 4. Round 347 to the nearest ten.
A. 340 | B. 350 | C. 300 | D. 400
Answer: B. 350. The ones digit is 7, so round up from 340 to 350.
Question 5. Which number is 9,000 + 300 + 20 + 4?
A. 9,234 | B. 9,302 | C. 9,324 | D. 9,342
Answer: C. 9,324. The place values combine to make 9,324.
Question 6. What is 4,386 minus 4,000?
A. 86 | B. 386 | C. 438 | D. 3,386
Answer: B. 386. Subtracting four thousands leaves 386.
Question 7. What number comes immediately after 2,499?
A. 2,500 | B. 2,490 | C. 2,599 | D. 3,000
Answer: A. 2,500. The next number is 2,499 + 1 = 2,500.
Operations and word problems
Question 8. Calculate 368 + 257.
A. 615 | B. 635 | C. 625 | D. 6,250
Answer: C. 625. 368 + 200 = 568; add 50 to get 618 and 7 more to get 625.
Question 9. Calculate 804 − 376.
A. 438 | B. 528 | C. 418 | D. 428
Answer: D. 428. 804 − 300 = 504; subtract 70 to get 434, then 6 to get 428.
Question 10. What is 7 times 8?
A. 56 | B. 54 | C. 64 | D. 48
Answer: A. 56. Seven groups of eight make 56.
Question 11. What is 63 divided by 9?
A. 6 | B. 7 | C. 8 | D. 9
Answer: B. 7. Nine groups of seven make 63, so 63 ÷ 9 = 7.
Question 12. 45 pencils are packed equally into 5 boxes. How many pencils go in each box?
A. 5 | B. 8 | C. 9 | D. 10
Answer: C. 9. 45 ÷ 5 = 9. Check: five boxes of nine total 45 pencils.
Question 13. Calculate 36 + 4 × 6.
A. 40 | B. 60 | C. 240 | D. 54
Answer: B. 60. Multiply first: 4 × 6 = 24. Then add 36 + 24 = 60.
Question 14. A collector has 125 stamps, gives away 48, then receives 25 more. How many stamps now?
A. 152 | B. 92 | C. 102 | D. 98
Answer: C. 102. 125 − 48 = 77; adding 25 makes 102.
Question 15. There are 6 rows with 7 seats each. If five seats are empty, how many are occupied?
A. 37 | B. 42 | C. 35 | D. 47
Answer: A. 37. 6 × 7 = 42 seats; 42 − 5 = 37 occupied.
Fractions, measurement, time and money
Question 16. What is half of 18?
A. 8 | B. 9 | C. 10 | D. 12
Answer: B. 9. Half means one of two equal parts: 18 ÷ 2 = 9.
Question 17. What is one quarter of 20?
A. 5 | B. 4 | C. 10 | D. 8
Answer: A. 5. Divide 20 into four equal parts: 20 ÷ 4 = 5.
Question 18. What is three quarters of 12?
A. 6 | B. 8 | C. 9 | D. 10
Answer: C. 9. One quarter of 12 is 3. Three such quarters make 9.
Question 19. How many centimetres are in 2 metres 35 centimetres?
A. 203 cm | B. 235 cm | C. 250 cm | D. 2,035 cm
Answer: B. 235 cm. 2 metres = 200 cm, plus 35 cm equals 235 cm.
Question 20. How many grams are in 3 kilograms?
A. 3,000 g | B. 300 g | C. 30 g | D. 30,000 g
Answer: A. 3,000 g. 1 kilogram = 1,000 grams. Therefore 3 kilograms = 3,000 grams.
Question 21. How many millilitres are in 1 litre?
A. 10 mL | B. 100 mL | C. 1,000 mL | D. 10,000 mL
Answer: C. 1,000 mL. One litre contains 1,000 millilitres.
Question 22. A train leaves at 11:45 a.m. and travels for 30 minutes. When does it arrive?
A. 11:15 a.m. | B. 12:00 noon | C. 12:30 p.m. | D. 12:15 p.m.
Answer: D. 12:15 p.m.. Fifteen minutes takes us to noon; another fifteen minutes gives 12:15 p.m.
Question 23. You have 20 money units. Three pencils cost 4 units each. What is your change?
A. 6 units | B. 10 units | C. 8 units | D. 12 units
Answer: C. 8 units. Three pencils cost 12 units; 20 − 12 = 8 units change.
Geometry and data
Question 24. A rectangle is 6 cm long and 4 cm wide. What is its perimeter?
A. 10 cm | B. 20 cm | C. 24 cm | D. 12 cm
Answer: B. 20 cm. Add all its sides: 6 + 4 + 6 + 4 = 20 cm.
Question 25. A square has four sides of 5 cm. What is its perimeter?
A. 20 cm | B. 10 cm | C. 25 cm | D. 15 cm
Answer: A. 20 cm. Four equal sides of 5 cm give 4 × 5 = 20 cm.
Question 26. How many lines of symmetry does a square have?
A. 1 | B. 2 | C. 3 | D. 4
Answer: D. 4. A square has horizontal, vertical and two diagonal symmetry lines.
Question 27. How many vertices does a triangular prism have?
A. 3 | B. 6 | C. 5 | D. 8
Answer: B. 6. There are three corners on each triangular end, making six vertices.
Question 28. How many faces does a cube have?
A. 4 | B. 8 | C. 6 | D. 12
Answer: C. 6. A cube has six square faces.
Question 29. In a pictograph, one star represents 4 books. How many books do 5 stars represent?
A. 20 | B. 9 | C. 16 | D. 25
Answer: A. 20. Each of five stars represents four books: 5 × 4 = 20.
Question 30. A survey shows 7 red, 5 blue and 8 green choices. How many choices in total?
A. 18 | B. 19 | C. 21 | D. 20
Answer: D. 20. Add every category: 7 + 5 + 8 = 20.
Challenge problems
Question 31. What comes next in this pattern: 2, 5, 11, 23, __?
A. 45 | B. 46 | C. 47 | D. 48
Answer: C. 47. Multiply by two and add one each time. 23 × 2 + 1 = 47.
Question 32. I am an odd two-digit number between 40 and 50. My digits add to 11. Which number am I?
A. 41 | B. 47 | C. 49 | D. 44
Answer: B. 47. The tens digit is four and the ones digit must be seven. The answer is 47, which is odd and in range.
Question 33. Four hens have 2 legs each and three goats have 4 legs each. How many legs altogether?
A. 20 | B. 18 | C. 16 | D. 24
Answer: A. 20. Hens have 8 legs and goats have 12. Together that is 20.
Question 34. Three times a number plus 5 equals 26. What is the number?
A. 6 | B. 7 | C. 8 | D. 9
Answer: B. 7. First 26 − 5 = 21; divide 21 by 3 to get 7.
Question 35. A room has 6 tables with 4 chairs each. Five chairs are removed and three are added. How many chairs are there now?
A. 19 | B. 22 | C. 24 | D. 27
Answer: B. 22. Start with 6 × 4 = 24 chairs. Then 24 − 5 + 3 = 22.
Revise the skill behind each mistake
| Questions | Topics | Try this to improve |
|---|---|---|
| 1–7 | Place value, comparing and rounding numbers | Use thousands-hundreds-tens-ones cards and explain each digit |
| 8–15 | Four operations and word problems | Draw quantities, write the steps and check using another operation |
| 16–23 | Fractions, measurement, time and money | Fold paper into equal parts and use a ruler, clock and play money |
| 24–30 | Geometry, pictographs and counting | Draw the shape, label the units and read each graph’s symbol key |
| 31–35 | Logical reasoning and multi-step puzzles | Identify the pattern or each clue, then verify the final answer |
Frequently asked questions
Can I use all the questions for free?
Yes. The complete practice set and all 35 worked answers are available on this page without sign-in or payment.
Do I have to download anything?
No. You can practise directly on the page, or use your browser’s Print command if you prefer to work on paper.
Are these questions from a previous examination?
No. They are original age-appropriate practice problems. For official competition materials, use the organiser’s own website.
Can I see the explanations without clicking a button?
Yes. The correct answer and a short worked explanation appear immediately after every question.
How can my child improve after choosing a wrong answer?
Identify whether the difficulty is with place value, calculations, reading a problem, units, a diagram or the logic of a pattern. Teach that concept and then try a different example.
Is this an official timed mock examination?
No. This set is for learning and revision. Exam duration and marking rules depend on the current organiser and competition.
Where can I find the official Class 3 syllabus?
Visit the School Connect Olympiad Class 3 Maths subject page for topics and resource links. The SOF Class 3 Maths Olympiad syllabus refers to a different organiser and may contain additional topics.
Keep learning: start with number sense, practise everyday maths and challenge yourself gradually. Understanding an answer is more useful than memorising its option letter.
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