Class 5 Maths Olympiad: 40 Questions with Answers (2026)

Class 5 Maths Olympiad: 40 Practice Questions with Answers

Strengthen your mathematical reasoning with 40 free Class 5 Maths Olympiad questions. Every multiple-choice question has four options, followed by the correct answer and a worked explanation directly on this page. No downloads or accounts are needed.

The practice covers number systems, decimal arithmetic, area and perimeter, profit and loss, interpreting data, simple interest and logic. The questions are original educational exercises based on these learning topics, with explanations to help learners practise each skill.

Start with the School Connect Olympiad Class 5 Maths chapter guide and its 2026 syllabus. For a different organiser, consult that competition’s own syllabus and exam rules.

How to get the most from these questions

Attempt one question without looking at the answer.
Write down a method, not just an option letter.
Compare your calculation with the worked explanation.
Revisit the topic if your reasoning differed.
Try a fresh variation when you feel confident.

Number systems

Question 1. Which is the greatest number?
A. 807,504 | B. 870,450 | C. 870,405 | D. 807,540
Answer: B. 870,450. Compare from left to right. The numbers 870,450 and 870,405 are largest in the first three digits; 870,450 is greater because 450 is greater than 405.
Question 2. What is the value of the digit 6 in 4,678,219?
A. 6,000 | B. 60,000 | C. 600,000 | D. 6,000,000
Answer: C. 600,000. The 6 is in the hundred-thousands place, so its value is 600,000.
Question 3. Which expanded form equals 5,040,208?
A. 5,000,000 + 40,000 + 200 + 8 | B. 5,000,000 + 4,000 + 200 + 8 | C. 500,000 + 40,000 + 200 + 8 | D. 5,000,000 + 40,000 + 20 + 8
Answer: A. 5,000,000 + 40,000 + 200 + 8. The nonzero place values are five millions, four ten-thousands, two hundreds and eight ones.
Question 4. Round 68,750 to the nearest thousand.
A. 68,000 | B. 68,700 | C. 69,000 | D. 70,000
Answer: C. 69,000. 750 is greater than 500, so the nearest thousand is 69,000.
Question 5. What is the smallest six-digit number made from 0, 2, 3, 5, 7 and 9, using every digit once?
A. 203,579 | B. 230,579 | C. 203,597 | D. 235,079
Answer: A. 203,579. The first digit cannot be zero. Start with 2, then arrange the remaining digits from smallest to greatest: 0,3,5,7,9.
Question 6. What is the least common multiple (LCM) of 12 and 18?
A. 6 | B. 24 | C. 36 | D. 72
Answer: C. 36. Multiples of 12 are 12,24,36; multiples of 18 are 18,36. The first common positive multiple is 36.

Adding and subtracting decimals

Question 7. What is 18.75 + 6.48?
A. 24.23 | B. 25.23 | C. 25.13 | D. 26.23
Answer: B. 25.23. Add hundredths with decimal points aligned: 0.75 + 0.48 = 1.23, so 18 + 6 + 1.23 = 25.23.
Question 8. What is 50.00 − 17.85?
A. 33.15 | B. 32.25 | C. 32.15 | D. 31.85
Answer: C. 32.15. Subtract 17 to reach 33, then subtract 0.85 to reach 32.15.
Question 9. Calculate 12.40 + 3.65 − 2.05.
A. 14.00 | B. 13.90 | C. 14.10 | D. 15.00
Answer: A. 14.00. 12.40 + 3.65 = 16.05; 16.05 − 2.05 = 14.00.
Question 10. Which decimal is the greatest?
A. 9.006 | B. 9.06 | C. 9.009 | D. 9.016
Answer: B. 9.06. Write all with three decimal places. 9.060 is greater than 9.016, 9.009 and 9.006.

Multiplying and dividing decimals

Question 11. What is 2.5 × 4?
A. 6.5 | B. 8 | C. 10 | D. 12.5
Answer: C. 10. Four groups of two and a half make 10.
Question 12. Find 15.6 ÷ 3.
A. 4.2 | B. 5.2 | C. 5.6 | D. 6.2
Answer: B. 5.2. 15 divided by 3 is 5 and 0.6 divided by 3 is 0.2, so the result is 5.2.
Question 13. What is 0.75 × 8?
A. 5 | B. 6 | C. 6.5 | D. 8
Answer: B. 6. 0.75 is three quarters. Eight sets of three quarters total six whole units.
Question 14. What is 28.8 ÷ 0.6?
A. 4.8 | B. 18 | C. 48 | D. 480
Answer: C. 48. Multiply both quantities by ten: 288 ÷ 6 = 48.

Area and perimeter

Question 15. What is the area of a rectangle 15 cm long and 8 cm wide?
A. 46 square cm | B. 100 square cm | C. 120 square cm | D. 150 square cm
Answer: C. 120 square cm. Area = length × width = 15 × 8 = 120 square centimetres.
Question 16. What is the perimeter of a rectangle measuring 12 m by 7 m?
A. 19 m | B. 38 m | C. 84 m | D. 24 m
Answer: B. 38 m. Perimeter = 2 × (12 + 7) = 38 metres.
Question 17. A square covers 81 square cm. What is its perimeter?
A. 9 cm | B. 18 cm | C. 27 cm | D. 36 cm
Answer: D. 36 cm. Each side is 9 cm since 9 × 9 = 81. Its perimeter is four times 9, or 36 cm.
Question 18. Two rectangular mats do not overlap. One is 6 m by 4 m; the other is 3 m by 2 m. What is their total area?
A. 24 square m | B. 26 square m | C. 30 square m | D. 36 square m
Answer: C. 30 square m. Areas: 6 × 4 = 24, and 3 × 2 = 6. Together they cover 30 square metres.
Question 19. A rectangular garden has perimeter 54 m and length 16 m. What is its width?
A. 10 m | B. 11 m | C. 12 m | D. 13 m
Answer: B. 11 m. Length plus width equals half the perimeter, 27 m. Width = 27 − 16 = 11 m.
Question 20. A rectangular picture frame has outer dimensions 10 cm by 7 cm and a rectangular opening of 8 cm by 5 cm. What is the area of the frame material?
A. 30 square cm | B. 40 square cm | C. 70 square cm | D. 110 square cm
Answer: A. 30 square cm. Outer area is 70 square cm; opening area is 40 square cm. Material area = 70 − 40 = 30 square cm.

Profit and loss

Question 21. A shopkeeper buys a toy for 80 units and sells it for 100 units. What is the profit?
A. 10 units | B. 20 units | C. 25 units | D. 180 units
Answer: B. 20 units. Profit equals selling price minus cost price: 100 − 80 = 20 units.
Question 22. A bag costs 150 units and sells for 120 units. What is the loss percentage?
A. 15% | B. 20% | C. 25% | D. 30%
Answer: B. 20%. Loss is 30 units. Loss percentage = (30 ÷ 150) × 100 = 20%.
Question 23. A notebook sells for 330 units at a 10% profit on its cost price. What was its cost price?
A. 300 units | B. 297 units | C. 310 units | D. 320 units
Answer: A. 300 units. A 10% profit means selling price is 110% of cost. Cost = 330 ÷ 1.10 = 300 units.
Question 24. An item is bought for 48 units and sold for 60 units. What is the profit percentage?
A. 12% | B. 20% | C. 25% | D. 30%
Answer: C. 25%. Profit = 12. Divide by original cost: (12 ÷ 48) × 100 = 25%.
Question 25. Five pens cost 12 units each and are sold for 15 units each. What is the total profit?
A. 10 units | B. 12 units | C. 15 units | D. 25 units
Answer: C. 15 units. Cost = 5 × 12 = 60, sales = 5 × 15 = 75; profit = 75 − 60 = 15 units.

Data handling

Question 26. Four classes collect 13, 17, 9 and 11 plastic bottles for recycling. How many bottles do they collect in total?
A. 40 | B. 50 | C. 55 | D. 60
Answer: B. 50. Add all groups: 13 + 17 + 9 + 11 = 50 bottles.
Question 27. A pictograph uses one star to represent 3 learners. What do eight stars represent?
A. 11 learners | B. 21 learners | C. 24 learners | D. 27 learners
Answer: C. 24 learners. Eight symbols at three learners each give 8 × 3 = 24.
Question 28. Four students read 12, 16, 20 and 24 pages. What is the mean (average) number of pages?
A. 16 | B. 18 | C. 20 | D. 22
Answer: B. 18. Total pages read = 72. Divide by 4 students: 72 ÷ 4 = 18.
Question 29. Which number is the mode of 3, 4, 5, 4, 6, 4, 7?
A. 3 | B. 4 | C. 5 | D. 7
Answer: B. 4. The mode is the value that appears most often. The number 4 appears three times.
Question 30. Visitor counts are 28 on Monday, 37 on Tuesday and 32 on Wednesday. How much did attendance increase from Monday to Tuesday?
A. 5 | B. 9 | C. 13 | D. 65
Answer: B. 9. Subtract the earlier count: 37 − 28 = 9 more visitors.

Simple interest

Question 31. What is the simple interest on 1,000 units at 5% per year for 2 years?
A. 50 units | B. 100 units | C. 150 units | D. 200 units
Answer: B. 100 units. Simple interest = principal × annual rate × years ÷ 100 = 1,000 × 5 × 2 ÷ 100 = 100 units.
Question 32. A sum of 2,400 units earns simple interest at 5% per year for 3 years. How much interest is earned?
A. 240 units | B. 300 units | C. 360 units | D. 400 units
Answer: C. 360 units. Simple interest = 2,400 × 5 × 3 ÷ 100 = 360 units.
Question 33. What is the total amount after 2 years on 5,000 units at 4% simple interest per year?
A. 5,200 units | B. 5,400 units | C. 5,800 units | D. 6,000 units
Answer: B. 5,400 units. Interest = 5,000 × 4 × 2 ÷ 100 = 400 units. Add the principal to get 5,400 units.
Question 34. The simple interest is 150 units after 3 years at 5% per year. What was the principal?
A. 500 units | B. 750 units | C. 1,000 units | D. 1,500 units
Answer: C. 1,000 units. Principal = interest × 100 ÷ (rate × years) = 150 × 100 ÷ (5 × 3) = 1,000 units.
Question 35. How much simple interest does 1,200 units earn at 6% per year over 6 months?
A. 36 units | B. 60 units | C. 72 units | D. 144 units
Answer: A. 36 units. Six months is half a year. Interest = 1,200 × 6 × 0.5 ÷ 100 = 36 units.

Logical and analytical reasoning

Question 36. What comes next: 2, 6, 14, 30, __?
A. 46 | B. 60 | C. 62 | D. 64
Answer: C. 62. Double the preceding number and add 2 each time: 30 × 2 + 2 = 62.
Question 37. I am an odd number between 60 and 70. My digits total 13. What number am I?
A. 63 | B. 65 | C. 67 | D. 69
Answer: C. 67. My tens digit is 6, so the ones digit must be 7. The number 67 is odd and between 60 and 70.
Question 38. Three boxes each contain 4 red and 2 blue tokens. How many red tokens are there in total?
A. 8 | B. 12 | C. 14 | D. 18
Answer: B. 12. There are four red tokens in every box. Three boxes give 3 × 4 = 12 red tokens.
Question 39. A four-digit code starts with 3, ends with 6, and has 2 and 5 as its middle digits in increasing order. What is the code?
A. 3526 | B. 3256 | C. 3265 | D. 2356
Answer: B. 3256. Place 3 first and 6 last. The middle digits in ascending order are 2 then 5, making 3256.
Question 40. A three-digit number has digits summing to 15. The hundreds digit is twice the tens digit; the ones digit is 3 more than the tens digit. What is the number?
A. 636 | B. 633 | C. 663 | D. 639
Answer: A. 636. Let the tens digit be 3. Then the hundreds digit is 6 and ones digit is 6. Their sum is 6 + 3 + 6 = 15, so the number is 636.

Revision guide: turn mistakes into progress

Questions	Topic	Practice tip
1–6	Number systems and place value	Build large numbers with digit cards and compare left to right
7–10	Adding and subtracting decimals	Align decimal points and estimate before calculating
11–14	Multiplying and dividing decimals	Use equivalent whole-number calculations to check
15–20	Area and perimeter	Draw and label shapes, keeping square units for area
21–25	Profit and loss	Identify cost price and selling price before finding any percentage
26–30	Data handling	Read labels, keys and scales before comparing chart values
31–35	Simple interest	Write the principal, annual rate and time in years
36–40	Logical reasoning	Test every given condition against your chosen answer

Three methods that make difficult questions easier

1. Estimate a decimal result before calculating

For 18.75 + 6.48, round the numbers mentally to 19 and 6.5. An answer close to 25.5 is sensible. Now calculate the exact result: 25.23. Estimation helps you catch misplaced decimal points.

2. Keep area and perimeter separate

A rectangle 15 cm long and 8 cm wide has area 120 square centimetres because 15 × 8 = 120. Its perimeter is 46 centimetres because 15 + 8 + 15 + 8 = 46. Area uses square units; the boundary length does not.

3. Decide what each money figure represents

For a product bought for 80 units and sold for 100, label cost price as 80 and selling price as 100. The profit is 20. If the question asks for profit percentage, divide by the cost price: 20 ÷ 80 × 100 = 25%.

A short, flexible revision checklist

Session 1: Solve Questions 1–10; check place value and decimal alignment.
Session 2: Solve Questions 11–20; draw each shape and label its units.
Session 3: Solve Questions 21–30; calculate carefully and read the data keys.
Session 4: Solve Questions 31–40; write the simple-interest formula and test every logic clue.
Review: Retry only the skills you found difficult with new numbers, not memorised letters.

Choose a comfortable pace and take breaks. A well-explained answer matters more than completing all questions quickly.

Frequently asked questions

Are these Class 5 Maths Olympiad questions free?

Yes. All 40 questions, answer choices and explanations are provided on this page without payment or sign-in.

Do I have to download a PDF to see the answers?

No. Every correct answer and explanation appears directly after its question. You can use your browser’s Print command if you prefer to work on paper.

Are these actual previous-year Olympiad questions?

No. These are original practice questions designed around Class 5 Maths learning topics. For official exam papers or rules, use the relevant competition organiser’s own website.

Which areas are useful for Class 5 Maths Olympiad preparation?

Begin with number systems and decimal calculations. Then practise area, perimeter, data handling, profit and loss, simple interest and logical reasoning. Use the SCO Class 5 Maths subject resource to plan your revision.

Is the SOF Class 5 Maths Olympiad the same as SCO?

No. The competitions are organised separately, and their question totals, sections and eligibility rules can differ. See the SOF Class 5 IMO syllabus when preparing for that examination.

Why are there profit-and-loss and simple-interest questions?

These topics appear in SCO’s published Class 5 Maths learning outcomes. If your school has not yet taught them, start with the worked examples and take your time.