Class 4 Maths Olympiad: 35 Questions with Answers (2026)

Class 4 Maths Olympiad: 35 Practice Questions with Answers

Practise 35 free Class 4 Maths Olympiad questions and understand every answer without opening a separate document. The questions include large numbers, Roman numerals, factors and multiples, geometry, perimeter and area, graphs, decimals and reasoning. Every question has four answer choices followed by a worked explanation.

These questions were written for learning and revision. To explore the chapters studied in School Connect Olympiad (SCO), visit the Class 4 Maths syllabus and lessons. You can also use the Class 4 Maths 2026 syllabus to plan topics. For a different competition, follow that organiser’s own syllabus.

How to use the questions

Try the problem independently before reading the answer.
Explain your method in writing or aloud.
Compare your steps with the answer and explanation underneath.
If an answer is wrong, practise the related concept using a new example.
Complete a few questions per session if a full set feels too long.

Six-digit numbers

Question 1. Arrange digits 4, 0, 7, 2, 9 and 1 to make the greatest possible six-digit number without repeating a digit.
A. 974,210 | B. 947,210 | C. 974,201 | D. 972,410
Answer: A. 974,210. Put the largest available digit first and continue in descending order: 9, 7, 4, 2, 1, 0 gives 974,210.
Question 2. What is the value of 7 in the number 572,406?
A. 7,000 | B. 70,000 | C. 700 | D. 700,000
Answer: B. 70,000. The digit 7 is in the ten-thousands place, so its value is 70,000.
Question 3. Which is the correct expanded form of 408,215?
A. 400,000 + 8,000 + 200 + 10 + 5 | B. 400,000 + 800 + 200 + 10 + 5 | C. 40,000 + 8,000 + 200 + 10 + 5 | D. 400,000 + 80,000 + 200 + 10 + 5
Answer: A. 400,000 + 8,000 + 200 + 10 + 5. Four hundred thousand, eight thousand, two hundred, ten and five total 408,215.
Question 4. Which number is the smallest?
A. 61,020 | B. 60,210 | C. 60,102 | D. 61,200
Answer: C. 60,102. Both numbers starting with 60 thousand are smaller than those starting with 61 thousand; among them, 60,102 is smaller than 60,210.
Question 5. Round 74,650 to the nearest thousand.
A. 74,000 | B. 75,000 | C. 74,600 | D. 70,000
Answer: B. 75,000. Because the last three digits are 650 (at least 500), round 74,650 up to 75,000.

Roman numerals

Question 6. Which Roman numeral represents 49?
A. IL | B. XLIX | C. XXXXIX | D. LXI
Answer: B. XLIX. 40 is XL and 9 is IX. Put them together to write 49 as XLIX.
Question 7. What is the value of XCIV?
A. 94 | B. 114 | C. 86 | D. 96
Answer: A. 94. XC means 90 and IV means 4; 90 + 4 = 94.

Operations

Question 8. Find 100,000 − 38,475.
A. 62,525 | B. 61,525 | C. 61,625 | D. 71,525
Answer: B. 61,525. Subtract 38,000 to get 62,000; then subtract another 475 to get 61,525.

Factors and multiples

Question 9. How many positive factors does 24 have?
A. 6 | B. 7 | C. 8 | D. 9
Answer: C. 8. Its positive factors are 1, 2, 3, 4, 6, 8, 12 and 24: eight factors.
Question 10. What is the smallest positive common multiple of 6 and 8?
A. 12 | B. 16 | C. 24 | D. 48
Answer: C. 24. Multiples of 6 include 6, 12, 18, 24; multiples of 8 include 8, 16, 24. The first match is 24.
Question 11. Which of these numbers is prime?
A. 25 | B. 27 | C. 29 | D. 33
Answer: C. 29. 29 has exactly two positive factors, 1 and 29. The others can be divided evenly by 3 or 5.
Question 12. Which number comes next: 27, 36, 45, 54, __?
A. 60 | B. 61 | C. 63 | D. 72
Answer: C. 63. Each term increases by 9; 54 + 9 = 63.

Operations

Question 13. Seven shelves each hold 12 books. How many books are there altogether?
A. 72 | B. 84 | C. 96 | D. 91
Answer: B. 84. Seven equal groups of 12 make 7 × 12 = 84 books.
Question 14. Divide 156 stickers equally among 12 students. How many stickers does each receive?
A. 12 | B. 14 | C. 13 | D. 15
Answer: C. 13. 156 ÷ 12 = 13 because 12 × 13 = 156.

Factors and multiples

Question 15. Which positive number below 30 is a multiple of both 4 and 5?
A. 10 | B. 12 | C. 20 | D. 25
Answer: C. 20. 20 is divisible by both 4 and 5; the other offered choices are not.
Question 16. What is the greatest common factor of 18 and 24?
A. 3 | B. 6 | C. 9 | D. 12
Answer: B. 6. Factors of 18 include 1, 2, 3, 6, 9, 18. Factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24. The greatest common factor is 6.

Reasoning

Question 17. Find the next number in the sequence 5, 11, 23, 47, __.
A. 94 | B. 95 | C. 96 | D. 99
Answer: B. 95. Double the previous number and add 1: 47 × 2 + 1 = 95.

Geometry, area and perimeter

Question 18. How many right angles does a rectangle have?
A. 2 | B. 3 | C. 4 | D. 0
Answer: C. 4. Every corner of a rectangle is a right angle, so there are four.
Question 19. A circle has a diameter of 12 cm. What is its radius?
A. 3 cm | B. 6 cm | C. 12 cm | D. 24 cm
Answer: B. 6 cm. The radius is half the diameter: 12 ÷ 2 = 6 cm.
Question 20. A square has a side length of 9 cm. What is its perimeter?
A. 18 cm | B. 81 cm | C. 36 cm | D. 27 cm
Answer: C. 36 cm. A square has four equal sides; 4 × 9 = 36 cm.
Question 21. What is the area of a rectangle 12 cm long and 7 cm wide?
A. 38 sq. cm | B. 84 sq. cm | C. 19 sq. cm | D. 96 sq. cm
Answer: B. 84 sq. cm. Area of a rectangle = length × width = 12 × 7 = 84 square centimetres.
Question 22. A square has an area of 64 sq. cm. How long is one side?
A. 6 cm | B. 8 cm | C. 16 cm | D. 32 cm
Answer: B. 8 cm. A square’s area equals side × side. Since 8 × 8 = 64, each side is 8 cm long.
Question 23. A rectangle has a perimeter of 46 cm and a length of 14 cm. What is its width?
A. 9 cm | B. 12 cm | C. 18 cm | D. 23 cm
Answer: A. 9 cm. Length + width is half the perimeter: 46 ÷ 2 = 23. Width = 23 − 14 = 9 cm.
Question 24. An angle measures 120°. What kind of angle is it?
A. Acute | B. Right | C. Obtuse | D. Straight
Answer: C. Obtuse. An angle greater than 90° but less than 180° is obtuse.
Question 25. How many edges does a cuboid have?
A. 6 | B. 8 | C. 12 | D. 16
Answer: C. 12. A cuboid has four edges on the top, four on the bottom and four joining them: 12.
Question 26. Two rectangular paper pieces do not overlap. One is 5 cm by 3 cm; the other is 2 cm by 4 cm. What is their total area?
A. 20 sq. cm | B. 23 sq. cm | C. 28 sq. cm | D. 30 sq. cm
Answer: B. 23 sq. cm. Their areas are 5 × 3 = 15 and 2 × 4 = 8 square centimetres. Add them to get 23 square centimetres.

Data handling

Question 27. A bar chart lists 15 students choosing apples and 9 choosing bananas. How many more chose apples?
A. 4 | B. 5 | C. 6 | D. 24
Answer: C. 6. Subtract the smaller count from the larger count: 15 − 9 = 6.
Question 28. A pictograph uses one star to represent 4 library books. How many books do 7 stars represent?
A. 11 | B. 21 | C. 28 | D. 32
Answer: C. 28. Seven stars represent 7 × 4 = 28 books.
Question 29. A survey records 6, 8, 5 and 11 votes for four activities. How many votes were cast?
A. 20 | B. 25 | C. 30 | D. 35
Answer: C. 30. Add all four categories: 6 + 8 + 5 + 11 = 30.
Question 30. Four pupils read 4, 6, 10 and 12 books. What is the average number?
A. 7 | B. 8 | C. 9 | D. 10
Answer: B. 8. The total is 4 + 6 + 10 + 12 = 32. Divide by four pupils: 32 ÷ 4 = 8.
Question 31. A chart shows 20 visitors on Monday, 30 on Tuesday and 25 on Wednesday. Between which consecutive days was the increase greatest?
A. Monday to Tuesday | B. Tuesday to Wednesday | C. The increase was equal | D. There was no increase
Answer: A. Monday to Tuesday. The number rose by 10 from Monday to Tuesday, then decreased by 5 on Wednesday.

Decimals and money

Question 32. What is 14.75 + 2.60?
A. 16.35 | B. 17.35 | C. 17.25 | D. 16.75
Answer: B. 17.35. Align decimal points: 14.75 + 2.60 = 17.35.
Question 33. What is 21.30 − 8.75?
A. 12.55 | B. 13.55 | C. 12.65 | D. 13.45
Answer: A. 12.55. Borrow across the decimal places: 21.30 minus 8.75 equals 12.55.
Question 34. You pay 50 money units for two items costing 14.25 and 16.80. How much change do you receive?
A. 17.95 | B. 18.95 | C. 19.05 | D. 21.05
Answer: B. 18.95. The total cost is 14.25 + 16.80 = 31.05; change = 50.00 − 31.05 = 18.95 units.
Question 35. Which decimal number is greatest?
A. 4.09 | B. 4.9 | C. 4.099 | D. 4.89
Answer: B. 4.9. Write each to three decimal places: 4.090, 4.900, 4.099 and 4.890. The greatest is 4.900 (4.9).

Make a revision plan from your answers

Question range	What you practised	Try next
1–8	Large numbers, place value, Roman numerals and operations	Read and write a new six-digit number; convert Roman numerals both ways
9–17	Factors, multiples, sharing and patterns	Make factor pairs and write the first five multiples of a number
18–26	Shapes, angles, area, perimeter and solids	Measure a book cover with a ruler and work out area and perimeter
27–31	Bar charts, pictographs and number data	Create a chart of class preferences with a clearly labelled key
32–35	Decimal arithmetic, comparisons and money	Practise aligning decimal places and check each answer by estimation

Frequently asked questions

Are all the Class 4 Maths questions available for free?

Yes. You can practise all 35 questions and read their worked answers on this page without signing in or paying.

Can I learn without downloading a PDF?

Yes. Questions, answer choices and explanations are presented directly above. For paper-based learning, use the Print option in your browser.

Are these actual past examination questions?

These are original Class 4 Maths practice questions based on common age-appropriate topics, rather than a reproduction of a past examination. For official competition documents, use the SCO subject resource page.

Does the SCO Maths Olympiad have the same format as the SOF IMO?

No. They are different organisers. If you plan to take SOF’s competition, check the SOF Class 4 Maths Olympiad syllabus and its examination rules.

What topics should a Class 4 student study first?

Begin with large numbers and the four operations. Then work on Roman numerals, factors and multiples, geometry, perimeter and area, data handling and decimal calculations.

Are the answers shown straight away?

Yes. Each question has one correct answer and a short explanation immediately after the four choices. You can cover the answer with a sheet of paper while solving a printed copy.

Do I have to finish all 35 questions in one sitting?

No. Choose a manageable group of questions, learn from mistakes and return for further practice. Focus on understanding each method before trying to work faster.