Question 1 of 50
Which figure comes next in the pattern?
🔢 Maths · Class 5 · 2026-27
SOF IMO Class 5 free mock test and sample paper
A full IMO Class 5 practice paper: 50 questions for 60 marks in 60 minutes, in the same 4 sections and order as the SOF paper. Take it here with an instant score — no login, no sign-up — or print it with an OMR sheet and the answer key. Free, with no ads.
- Questions50
- Marks60
- Time60 min
- Sections4
The paper
Tap an answer for each question. The 60-minute clock starts at your first answer; press Finish and mark at the bottom when you are done, and every answer is explained.
Section 1 — Logical Reasoning · 15 × 1 mark
- Question 2 of 50
What comes next in the series?
33, 41, 49, 57, 65, ?
- Question 3 of 50
In a certain code language, BOOK is written as ERRN. How will LAMP be written in the same code?
- Question 4 of 50
37 children stand in a row. Anaya is 7th from the left end and Arjun is 11th from the right end. How many children stand between them?
- Question 5 of 50
Which number is the odd one out?
- Question 6 of 50
In a certain code language, PLANET is written as LPNATE. How is BRIGHT written in that code?
- Question 7 of 50
Look at the picture. Who is in the North-West of Reyansh?
- Question 8 of 50
Ishaan is facing North. Ishaan turns right, then left, then right. Which direction is Ishaan facing now?
- Question 9 of 50
Which letter is the 10th letter from the left end of the English alphabet?
- Question 10 of 50
Aarav is the son of Reyansh. Reyansh is the brother of Anaya. How is Aarav related to Anaya?
- Question 11 of 50
Aditi has 3 shirts and 5 pairs of trousers. In how many different ways can Aditi dress?
- Question 12 of 50
Which option is the mirror image of the given figure when the mirror is held on its right?
- Question 13 of 50
If these words are arranged as in a dictionary, which word comes first?
STOVE STOOL STORE STORM
- Question 14 of 50
Which figure does not belong with the other three?
- Question 15 of 50
Find the missing number.
11 : 122 :: 3 : ?
Section 2 — Mathematical Reasoning · 20 × 1 mark
- Question 16 of 50
The diameter of a circular plate is 26 cm. What is its radius?
- Question 17 of 50
Each ⭐ stands for 5. How many were there on Thu?
- Question 18 of 50
How many days are there in October?
- Question 19 of 50
2/10 + 5/10 = ?
- Question 20 of 50
In 90.24, what is the place value of the digit 4 in the hundredths place?
- Question 21 of 50
Write 1/4 as a decimal.
- Question 22 of 50
2,08,908 + ______ = 3,03,371
- Question 23 of 50
What is the measure of the angle shown on the protractor?
- Question 24 of 50
What time does the clock show?
- Question 25 of 50
In 8,59,61,865, what is the difference between the place value and the face value of 8?
- Question 26 of 50
Which number comes just before 4,23,56,147?
- Question 27 of 50
Each small square has a side of 1 cm. What is the area of the shaded shape?
- Question 28 of 50
Which of these is not a factor of 16?
- Question 29 of 50
Write 37/7 as a mixed number.
- Question 30 of 50
Which of these numbers is divisible by 6?
- Question 31 of 50
Two angles together make a complete turn. One of them is 150°. What is the other?
- Question 32 of 50
Between which two days did the number rise the most?
- Question 33 of 50
30 kg 520 g = ______ g
- Question 34 of 50
Which of these is the greatest number?
- Question 35 of 50
The area of a rectangle is 180 sq cm and its length is 18 cm. What is its breadth?
Section 3 — Everyday Mathematics · 10 × 1 mark
- Question 36 of 50
In Pune the thermometer read the temperature below at 7 a.m. By noon it was 11 °C warmer. What was the temperature at noon?
- Question 37 of 50
Reyansh buys a cap for ₹ 27.40 and pays with a ₹ 100 note. How much change does Reyansh get?
- Question 38 of 50
The population of Anand is 3,67,40,951 and the population of Nashik is 49,36,872. How many more people live in Anand?
- Question 39 of 50
The film starts at 4:20 p.m. How is this written in the 24-hour clock?
- Question 40 of 50
Saanvi bought books for ₹ 797 and gave the shopkeeper a ₹ 2,000 note. How much change should Saanvi get back?
- Question 41 of 50
Reyansh's shop had 10 L of milk and sold 8 L 448 mL of it. How much milk is left?
- Question 42 of 50
A room is 16 m long and 19 m wide. How many square-metre tiles are needed to cover its floor?
- Question 43 of 50
Reyansh packs 308 mangoes equally into boxes of 11. How many boxes does Reyansh need?
- Question 44 of 50
How many ₹ 50 notes make ₹ 350?
- Question 45 of 50
One of these school bags costs ₹ 139. What do 43 of them cost altogether?
Section 4 — Achievers Section · 5 × 3 marks
- Question 46 of 50
40 children stand in a row. Anaya is 24th from the left end. If Anaya moves 3 places towards the left, what is Anaya's new position from the right end?
- Question 47 of 50
Which fraction is 2/3 more than 1/2?
- Question 48 of 50
A packet holds 507 m. What is the total distance of 17 such packets?
- Question 49 of 50
Identify the number using the given clues.
• Its ones digit is the face value of the digit in the hundreds place of 5,723.
• Its tens digit is the greatest one-digit even number.
• Its thousands digit is the tens digit of LXXIV.
• Its hundreds digit is 2.
• Its ten thousands digit is less than 4 but more than 2.
- Question 50 of 50
Five friends sit in a row, all facing North.
Saanvi sits second to the right of Meera.
Meera sits at the extreme left end.
Vihaan sits second to the right of Saanvi.
Reyansh sits immediately to the left of Saanvi.
Diya sits second to the right of Reyansh.
Who sits between Saanvi and Vihaan?
Answer key and explanations (opens below)
1. (D) 2. (D) 3. (D) 4. (A) 5. (A) 6. (B) 7. (D) 8. (D) 9. (B) 10. (B) 11. (A) 12. (C) 13. (D) 14. (C) 15. (D) 16. (B) 17. (A) 18. (A) 19. (A) 20. (D) 21. (A) 22. (C) 23. (D) 24. (D) 25. (A) 26. (D) 27. (B) 28. (C) 29. (B) 30. (D) 31. (C) 32. (A) 33. (A) 34. (C) 35. (C) 36. (C) 37. (D) 38. (A) 39. (A) 40. (D) 41. (D) 42. (D) 43. (C) 44. (D) 45. (D) 46. (A) 47. (A) 48. (C) 49. (A) 50. (C)
- 1. (D)
The pattern repeats every 2 figures, so the next one is a semicircle.
- 2. (D)
Each number is 8 more than the one before. So the next number is 73.
- 3. (D)
Every letter moves 3 places forward in the alphabet, so LAMP becomes ODPS.
- 4. (A)
7 children up to and including Anaya, 11 up to and including Arjun: 37 − 7 − 11 = 19 are between them.
- 5. (A)
60, 54, 12 are all multiples of 6; 31 is not — it lies between 30 and 36.
- 6. (B)
Each pair of letters is turned round: 1st with 2nd, 3rd with 4th, 5th with 6th. So BRIGHT becomes RBGITH.
- 7. (D)
Kabir is drawn to the North-West of Reyansh.
- 8. (D)
A right turn moves one step clockwise (North → East → South → West) and a left turn one step back. North, then right, left, right, ends at East.
- 9. (B)
Counting from A, the 10th letter is J.
- 10. (B)
Aarav is the son of Anaya's brother, and a brother's son is a nephew.
- 11. (A)
Each of the 3 shirts can go with any of the 5 trousers: 3 × 5 = 15.
- 12. (C)
A mirror held at the side swaps left and right but keeps top and bottom the same way up.
- 13. (D)
The words share their first 3 letters, so the order is decided by letter 4: STOOL, STORE, STORM, STOVE. The first is STOOL.
- 14. (C)
Three of them have 4 sides; the odd one has 8.
- 15. (D)
11 multiplied by itself, and then 1 added gives 122. In the same way, 3 multiplied by itself, and then 1 added gives 10.
- 16. (B)
The diameter goes right across through the centre, so it is twice the radius: 26 ÷ 2 = 13 cm.
- 17. (A)
Thu has 3 stars, and each is worth 5: 3 × 5 = 15.
- 18. (A)
October has 31 days.
- 19. (A)
The parts are the same size, so add the tops: 2 + 5 = 7, giving 7/10.
- 20. (D)
A digit in the hundredths place is worth 4 ÷ 100 = 0.04.
- 21. (A)
1 ÷ 4 = 0.25.
- 22. (C)
3,03,371 − 2,08,908 = 94,463.
- 23. (D)
Start from the 0 on the arm lying along the base and read the same scale up to the other arm: 135°. Reading the other scale gives 180 − 135 = 45°, which is the mistake to avoid.
- 24. (D)
The hour hand is just past 3, and the minute hand points to 35 minutes, so it is 3:35.
- 25. (A)
Its place value is 800 and its face value is just 8, so the difference is 792.
- 26. (D)
One less than 4,23,56,147 is 4,23,56,146.
- 27. (B)
There are 27 shaded squares, each 1 sq. cm, so the area is 27 sq. cm.
- 28. (C)
The factors of 16 are 1, 2, 4, 8, 16 — anything else divides it with a remainder.
- 29. (B)
37 ÷ 7 = 5 remainder 2, so 37/7 = 5 wholes and 2/7: 5 2/7.
- 30. (D)
A number is divisible by 6 when it is even and the sum of its digits is a multiple of 3. Only 23,166 passes: 23,166 = 6 × 3,861.
- 31. (C)
Angles on a complete turn add up to 360°, so the other is 360 − 150 = 210°.
- 32. (A)
The steepest climb upward is from Mon (20) to Tue (90), a rise of 70.
- 33. (A)
1 kg = 1,000 g, so 30 kg is 30,000 g, plus 520 makes 30,520.
- 34. (C)
Comparing them from the highest place downwards, 6,91,95,801 is the greatest.
- 35. (C)
Area = length × breadth, so breadth = 180 ÷ 18 = 10 cm.
- 36. (C)
It was 19 °C and became 11 degrees warmer, so add: 19 + 11 = 30 °C.
- 37. (D)
₹ 100 − ₹ 27.40 = ₹ 72.60. Borrow ₹ 1 as 100 paise to take away the paise.
- 38. (A)
3,67,40,951 − 49,36,872 = 3,18,04,079.
- 39. (A)
For a p.m. time add 12 to the hour: 4 + 12 = 16, so it is 16:20.
- 40. (D)
₹ 2,000 − ₹ 797 = ₹ 1,203.
- 41. (D)
10 L − 8 L 448 mL = 1 L 552 mL.
- 42. (D)
Covering the floor is area: 16 × 19 = 304 tiles.
- 43. (C)
308 ÷ 11 = 28 boxes.
- 44. (D)
₹ 350 ÷ ₹ 50 = 7, because 7 × 50 = 350.
- 45. (D)
₹ 139 × 43 = ₹ 5,977.
- 46. (A)
Moving 3 places left puts Anaya 21st from the left, which is 40 − 21 + 1 = 20 from the right.
- 47. (A)
Make the bottoms the same, then add: 2/3 + 1/2 = 1 1/6.
- 48. (C)
507 × 17 = 8,619 m, which is 8 km 619 m.
- 49. (A)
Filling the places one at a time — 3, 7, 2, 8, 7 — gives 37,287.
- 50. (C)
Start from the person at the end and place one friend at a time. From left to right the row is Meera, Reyansh, Saanvi, Diya, Vihaan, so the answer is Diya.
About this mock test
- Is this IMO Class 5 mock test really free, with no login?
- Yes. The whole paper is on this page: no account, no sign-up, no phone number and no ads. Nothing your child answers here is sent anywhere or stored.
- How is it marked?
- The same way as the SOF paper: Logical Reasoning 1 mark a question, Mathematical Reasoning 1 mark a question, Everyday Mathematics 1 mark a question, Achievers Section 3 marks a question, 60 marks in all. Press Finish and mark to see the score by section and the right answer, with an explanation, under every question.
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- Yes. Print paper + OMR sheet lays it out like the real paper, with a bubble sheet and the answer key on its own last page so it can be set aside. Choose Save as PDF in the print dialog to keep a copy.
- Is it the same as the real IMO paper?
- It has the real paper's shape — 50 questions, the same sections in the same order, the same marks and the same 60 minutes — and its questions come from the IMO Class 5 syllabus. The questions are Sprinto's own, not SOF's; Sprinto is not affiliated with the Science Olympiad Foundation.
Fresh questions every time
This paper stays the same so it can be printed and shared. In the app every IMO Class 5 question is new, the next one is picked to be just hard enough, and mistakes come back until they stick. Still free.