Question 1 of 35
Three of these words belong to one group. Which word is the odd one out?
🔢 Maths · Class 4 · 2026-27
SOF IMO Class 4 free mock test and sample paper
A full IMO Class 4 practice paper: 35 questions for 40 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.
- Questions35
- Marks40
- 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 · 10 × 1 mark
- Question 2 of 35
Three of these numbers belong to a group. Which number does not belong?
- Question 3 of 35
In a row of children, Reyansh is 5th from the left and 14th from the right. How many children are there in the row?
- Question 4 of 35
In a class of 35 students, Anaya is 15th from the top. What is Anaya's position from the bottom?
- Question 5 of 35
Which number comes next in the series?
- Question 6 of 35
Meera has 4 shirts and 5 pairs of trousers. In how many different ways can Meera dress?
- Question 7 of 35
How many rectangles are there in the given figure?
- Question 8 of 35
Which letter is the 11th letter from the right end of the English alphabet?
- Question 9 of 35
Which figure comes next in the pattern?
- Question 10 of 35
The codes of some digits are given below.
Digits 6 3 8 7 2 4 5 1 Codes & ~ + = % ^ ? @
Find the code for 25834.
Section 2 — Mathematical Reasoning · 10 × 1 mark
- Question 11 of 35
What fraction of the figure is shaded?
- Question 12 of 35
Which fraction is equal to 3/5?
- Question 13 of 35
Each small square has a side of 1 cm. What is the area of the shaded shape?
- Question 14 of 35
3/5 + 1/5 = ?
- Question 15 of 35
How many faces does a cone have?
- Question 16 of 35
When 4,526 is divided by 10, what is the quotient?
- Question 17 of 35
What is the lowest common multiple of 28 and 17?
- Question 18 of 35
3/11 − 1/11 = ?
- Question 19 of 35
Which number comes just after 4,02,568?
- Question 20 of 35
In 1,42,548, what is the difference between the place value and the face value of 4?
Section 3 — Everyday Mathematics · 10 × 1 mark
- Question 21 of 35
Kabir has these notes and coins in a piggy bank. How much money is there altogether?
- Question 22 of 35
The population of Sitapur is 7,72,317 and the population of Bhilai is 5,65,730. How many more people live in Sitapur?
- Question 23 of 35
The graph shows the games chosen by a class. How many children are there in the class altogether?
- Question 24 of 35
Look at the canteen price list. Aditi buys 2 glasses of mango juice and 1 biscuit packet. How much does Aditi pay?
- Question 25 of 35
Arjun packs 162 marbles equally into boxes of 9. How many boxes does Arjun need?
- Question 26 of 35
The school holidays begin on 27 December and end on 10 January. Both days are holidays. How many days of holiday are there?
- Question 27 of 35
Reyansh's a music class started at 4:30 and finished at 6:00. How long did it last?
- Question 28 of 35
Arjun bought books for ₹ 183 and gave the shopkeeper a ₹ 200 note. How much change should Arjun get back?
- Question 29 of 35
Ira puts ₹ 50 into a piggy bank every week. How much has Ira saved after 10 weeks?
- Question 30 of 35
A room is 7 m long and 21 m wide. How many square-metre tiles are needed to cover its floor?
Section 4 — Achievers Section · 5 × 2 marks
- Question 31 of 35
Which of the following statements is INCORRECT?
- Question 32 of 35
A packet holds 777 g. What is the total weight of 14 such packets?
- Question 33 of 35
Study the bar graph. Which of these statements is NOT true?
- Question 34 of 35
Identify the number using the given clues.
• Its ones digit is the face value of the digit in the hundreds place of 1,626.
• Its tens digit is the greatest one-digit even number.
• Its thousands digit is the tens digit of XVI.
• Its hundreds digit is 4.
• Its ten thousands digit is less than 8 but more than 6.
- Question 35 of 35
The given clock is 25 minutes fast. What is the correct time?
Answer key and explanations (opens below)
1. (D) 2. (B) 3. (D) 4. (B) 5. (B) 6. (A) 7. (A) 8. (B) 9. (C) 10. (A) 11. (D) 12. (A) 13. (C) 14. (B) 15. (B) 16. (A) 17. (A) 18. (B) 19. (D) 20. (A) 21. (D) 22. (B) 23. (B) 24. (C) 25. (A) 26. (B) 27. (D) 28. (B) 29. (B) 30. (A) 31. (C) 32. (B) 33. (D) 34. (B) 35. (B)
- 1. (D)
Flute, Tabla, Drum are all musical instruments. Stool is not.
- 2. (B)
15, 40, 35 are all in the table of 5, and 12 is not.
- 3. (D)
Counting from both ends counts Reyansh twice, so 5 + 14 − 1 = 18.
- 4. (B)
Position from the bottom = total − position from the top + 1 = 35 − 15 + 1 = 21.
- 5. (B)
The rule is to add 4, then 5, then 6 and so on — one more each time: 12, 16, 21, 27, 34, so the next number is 42.
- 6. (A)
Each of the 4 shirts can go with any of the 5 trousers: 4 × 5 = 20.
- 7. (A)
Choose any 2 of the 4 horizontal lines and any 2 of the 5 vertical ones: 6 × 10 = 60.
- 8. (B)
Counting back from Z, the 11th letter is P.
- 9. (C)
The pattern repeats every 2 figures, so the next one is a triangle.
- 10. (A)
Reading 25834 digit by digit against the table gives %?+~^.
- 11. (D)
9 of the 10 equal parts are shaded, which is 9/10.
- 12. (A)
Multiplying the top and the bottom by 3 gives 9/15, which is the same amount.
- 13. (C)
There are 19 shaded squares, each 1 sq. cm, so the area is 19 sq. cm.
- 14. (B)
The parts are the same size, so add the tops: 3 + 1 = 4, giving 4/5.
- 15. (B)
A cone has 2 faces, 1 edges and 1 corners.
- 16. (A)
4,526 = 10 × 452 + 6, so the quotient is 452 and the remainder is 6.
- 17. (A)
The smallest number that both 28 and 17 divide into is 476.
- 18. (B)
Same-sized parts, so subtract the tops: 3 − 1 = 2, giving 2/11.
- 19. (D)
One more than 4,02,568 is 4,02,569.
- 20. (A)
Its place value is 40,000 and its face value is just 4, so the difference is 39,996.
- 21. (D)
Add every note and coin: 2 × ₹ 500 + 1 × ₹ 10 + 1 × ₹ 1 + 2 × ₹ 2 = ₹ 1,015.
- 22. (B)
7,72,317 − 5,65,730 = 2,06,587.
- 23. (B)
Adding every bar: 7 + 13 + 16 + 18 = 54.
- 24. (C)
2 × ₹ 25 = ₹ 50 and 1 × ₹ 10 = ₹ 10. Together that is ₹ 60.
- 25. (A)
162 ÷ 9 = 18 boxes.
- 26. (B)
December has 31 days, so from the 27th to the 31st is 5 days, counting both. Add the 10 days of January: 15.
- 27. (D)
From 4:30 to 6:00 is 90 minutes.
- 28. (B)
₹ 200 − ₹ 183 = ₹ 17.
- 29. (B)
₹ 50 each week for 10 weeks is 10 × ₹ 50 = ₹ 500.
- 30. (A)
Covering the floor is area: 7 × 21 = 147 tiles.
- 31. (C)
Every other statement is true. "A number has only as many multiples as it has factors." is not — the smallest factor of any number is 1, and a number's multiples never stop.
- 32. (B)
777 × 14 = 10,878 g, which is 10 kg 878 g.
- 33. (D)
Check each statement against the bars. The true one is "Orange has 40 more than Banana.", so "Orange has 45 more than Banana." is wrong.
- 34. (B)
Filling the places one at a time — 7, 1, 4, 8, 6 — gives 71,486.
- 35. (B)
The clock shows 5:20. A clock that is 25 minutes fast is ahead of the real time, so the correct time is 4:55.
About this mock test
- Is this IMO Class 4 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 2 marks a question, 40 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 — 35 questions, the same sections in the same order, the same marks and the same 60 minutes — and its questions come from the IMO Class 4 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 4 question is new, the next one is picked to be just hard enough, and mistakes come back until they stick. Still free.