Question 1 of 35
Which shape comes next in the pattern?
🔢 Maths · Class 2 · 2026-27
SOF IMO Class 2 free mock test and sample paper
A full IMO Class 2 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
The shape keeps getting smaller. Which one comes next?
- Question 3 of 35
Select the odd one out.
- Question 4 of 35
What comes next?
18, 23, 28, 33, 38, ___
- Question 5 of 35
Which shape comes next in the series?
- Question 6 of 35
How many groups of 3 candies each can be made from the candies shown?
- Question 7 of 35
The shape turns a little each time. Which one comes next?
- Question 8 of 35
Which of these would you use to find out how much juice is in a bottle?
- Question 9 of 35
Which one is the mirror image of this figure, seen in a mirror standing beside it?
- Question 10 of 35
Meera is taller than Diya. Diya is taller than Reyansh. Reyansh is taller than Aarav. Aarav is taller than Anaya. Who is the second shortest?
Section 2 — Mathematical Reasoning · 10 × 1 mark
- Question 11 of 35
Which shape comes next in the pattern?
- Question 12 of 35
Look at the row. Counting from the right, in which position is the star?
- Question 13 of 35
How much money is shown?
- Question 14 of 35
Which sign goes in the box?
28 ☐ 6 = 34
- Question 15 of 35
Which shape is a flat face of this cube?
- Question 16 of 35
Which of these makes exactly ₹57?
- Question 17 of 35
How many edges does a cylinder have?
- Question 18 of 35
Which number do the blocks show?
- Question 19 of 35
What is the name of this shape?
- Question 20 of 35
How many balloons are there altogether?
Section 3 — Everyday Mathematics · 10 × 1 mark
- Question 21 of 35
How many books are there for Diya and Aarav together?
- Question 22 of 35
A football has the shape of which solid?
- Question 23 of 35
There are 10 children in the queue at the school canteen. Diya is 7th from the front. How many children are behind Diya?
- Question 24 of 35
Pencils come in boxes of 100 and packets of 10. A shop has 1 box, 3 packets and 7 loose pencils. How many pencils?
- Question 25 of 35
The art contest is on the 8th. Which day is that?
- Question 26 of 35
How many flowers were counted in all?
- Question 27 of 35
There are 2 hens and 4 dogs. How many legs are there in all?
- Question 28 of 35
Ira has 47 pencils. Kabir gives Ira 37 more. How many pencils does Ira have now?
- Question 29 of 35
How long is the train journey?
Train leavesTrain arrives - Question 30 of 35
Each balloon costs ₹10. How much money did the stall get on Thursday?
Section 4 — Achievers Section · 5 × 2 marks
- Question 31 of 35
If a cup is called a bed, and a bed is called a chair, then which one is used for sleeping on?
- Question 32 of 35
Match each time with its clock.
P. 6:40
Q. half past 8
R. half past 4
123 - Question 33 of 35
Look at the picture. Which option is correct?
- Question 34 of 35
One picture stands for 2 balloons. Which statement is NOT correct?
- Question 35 of 35
Both scales are level.
(p) How heavy is 1 box?
(q) What weight is ? on Scale 2?
Scale 1Scale 2
Answer key and explanations (opens below)
1. (D) 2. (C) 3. (D) 4. (D) 5. (D) 6. (A) 7. (B) 8. (B) 9. (B) 10. (D) 11. (A) 12. (A) 13. (C) 14. (D) 15. (B) 16. (D) 17. (A) 18. (D) 19. (B) 20. (C) 21. (D) 22. (A) 23. (B) 24. (A) 25. (C) 26. (D) 27. (C) 28. (A) 29. (A) 30. (B) 31. (A) 32. (B) 33. (B) 34. (A) 35. (C)
- 1. (D)
The pattern repeats every 2 shapes — star, heart — over and over. After the heart, it starts again with the star.
- 2. (C)
Each shape is a little smaller than the one before, so the next one is the smallest of all.
- 3. (D)
V, A, M are all written with straight lines only. P needs a curved line, so it is the odd one out.
- 4. (D)
Each number goes up by 5. 38 + 5 = 43.
- 5. (D)
The series goes circle, circle, octagon and repeats. Counting on from the last one, a circle comes next.
- 6. (A)
There are 18 candies. 6 groups of 3 make 18, so 6 groups can be formed.
- 7. (B)
Each step turns the shape a quarter turn clockwise. Keep turning it the same way.
- 8. (B)
We use a measuring jar to find out how much juice is in a bottle.
- 9. (B)
A mirror swaps left and right but leaves top and bottom alone. The right answer is the figure flipped sideways, not turned upside down.
- 10. (D)
Put them in order from tallest to shortest: Meera, Diya, Reyansh, Aarav, Anaya. So the second shortest is Aarav.
- 11. (A)
The pattern repeats every 2 shapes — triangle, hexagon — over and over. After the hexagon, it starts again with the triangle.
- 12. (A)
Point at each one as you count from the right. The star is the third one.
- 13. (C)
1 × ₹100 = ₹100, and 4 × ₹5 = ₹20. Together that is ₹120.
- 14. (D)
28 + 6 = 34. The answer is bigger, by adding.
- 15. (B)
All six faces of a cube are squares.
- 16. (D)
Add up each set. ₹20 + ₹20 + ₹10 + ₹5 + ₹2 = ₹57. Each of the others comes to a different amount.
- 17. (A)
A cylinder has 2 edges.
- 18. (D)
A big flat is a hundred, a long rod is a ten and a small cube is a one. 1 hundred, 2 tens and 3 ones make 123.
- 19. (B)
This shape is a square.
- 20. (C)
Add every row: 5 + 4 + 2 + 6 = 17.
- 21. (D)
Diya has 2 and Aarav has 8. 2 + 8 = 10.
- 22. (A)
A football is shaped like a sphere.
- 23. (B)
Diya is number 7. The children behind are numbers 8 to 10: 10 − 7 = 3.
- 24. (A)
1 box of 100 is 100, 3 packets of 10 is 30, and there are 7 loose. 100 + 30 + 7 = 137.
- 25. (C)
Find the 8th on the calendar and go straight up its column to the top. It sits under Sat, so it is Saturday.
- 26. (D)
Add the rows: 12 + 11 + 7 + 14 = 44.
- 27. (C)
A hen has 2 legs and a dog has 4. 2 × 2 = 4 and 4 × 4 = 16. 4 + 16 = 20.
- 28. (A)
47 + 37 = 84.
- 29. (A)
From 2:45 to 3:30: count on the whole hours first, then the minutes. That is 45 minutes.
- 30. (B)
Thursday has 4 pictures, so 4 balloons were sold. 4 × ₹10 = ₹40.
- 31. (A)
Really it is a bed that is used for sleeping on — but a bed has been given the new name a chair, so the answer is a chair.
- 32. (B)
Read the long hand for the minutes and the short hand for the hour. P is 6:40 on clock 1, Q is 8:30 on clock 3, R is 4:30 on clock 2.
- 33. (B)
The picture has 3 horizontal lines, 3 vertical lines, 4 slanting lines and 0 curved lines. Only (B) is true.
- 34. (A)
Each picture is 2, so Pink has 1 × 2 = 2, Blue has 3 × 2 = 6, Green has 4 × 2 = 8, Yellow has 5 × 2 = 10. "Blue has 2 more than Pink." is the only one that is wrong.
- 35. (C)
Scale 1: take 5 kg off both sides, so 1 box = 11 − 5 = 6 kg. Scale 2: 2 boxes = 2 × 6 = 12 kg.
About this mock test
- Is this IMO Class 2 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 2 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 2 question is new, the next one is picked to be just hard enough, and mistakes come back until they stick. Still free.