Question 1 of 50
Which letter is the 7th letter from the left end of the English alphabet?
🔢 Maths · Class 6 · 2026-27
SOF IMO Class 6 free mock test and sample paper
A full IMO Class 6 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
Which option is the water image of the given figure?
- Question 3 of 50
Find the number that completes the analogy.
6 : 37 :: 4 : ?
- Question 4 of 50
Which group of letters comes next in the series?
GI, IK, KM, MO, ___
- Question 5 of 50
Look carefully at the figure. Which of these shapes is NOT part of it?
- Question 6 of 50
One figure is missing from the matrix. Which option belongs in its place?
? - Question 7 of 50
A square sheet of squared paper is folded in half along its vertical middle line, the left half laid over the right half. Holes are then punched through all the layers, as shown. Which option shows the sheet when it is opened out?
- Question 8 of 50
Which of these words cannot be made from the letters of the word INFORMATION? (Each letter may be used only as many times as it appears.)
- Question 9 of 50
Which figure comes next in the series?
- Question 10 of 50
A wall clock shows 6:20. What time does its mirror image appear to show?
- Question 11 of 50
The figure shows a net. Which solid does it fold into?
- Question 12 of 50
How many triangles are there in the given figure?
- Question 13 of 50
Arrange the following in a meaningful order (making bread).
1. Flour
2. Baking
3. Bread
4. Dough
- Question 14 of 50
Which option is the mirror image of the given figure when the mirror is held on its right?
- Question 15 of 50
How many rectangles are there in the given figure?
Section 2 — Mathematical Reasoning · 20 × 1 mark
- Question 16 of 50
A circle has a radius of 37 cm. What is its diameter?
- Question 17 of 50
The points P, Q, R, S, T, U are marked in that order on one straight line. How many different line segments have two of these points as their end points?
- Question 18 of 50
What is 1/2 − 1/3?
- Question 19 of 50
Dots are stacked in a triangle: 1 dot in the first row, 2 in the second, 3 in the third, and so on. How many dots are there in a triangle of 8 rows?
- Question 20 of 50
Find the value of 1 + 2 + 3 + … + 14 + … + 3 + 2 + 1 (counting up to 14 and back down again).
- Question 21 of 50
What is the angle between the two hands of a clock at 2:10?
- Question 22 of 50
Arrange these fractions in ascending order: 7/24, 3/8, 5/6, 5/12.
- Question 23 of 50
Squares are made in a row, each new one sharing a side with the one before it. How many matchsticks are needed for 9 of them?
- Question 24 of 50
The tally chart shows the number of trees. How many are recorded against VI-C?
- Question 25 of 50
A pattern starts 4, 12, 20, 28, … and keeps growing the same way. What is its 34th number?
- Question 26 of 50
Which of these fractions is equal to 1/6?
- Question 27 of 50
Two angles are complementary. One of them is 18°. What is the other one?
- Question 28 of 50
Which of these clock timings forms a palindrome?
- Question 29 of 50
A bag holds 9 positive tokens (each worth +1) and 8 negative tokens (each worth −1). A positive and a negative token together make a zero pair. How many zero pairs can be made?
- Question 30 of 50
In this pattern each number is the sum of the two before it. Find the missing number.
2, 4, 6, 10, 16, ___
- Question 31 of 50
The line graph shows how many visitors came each day. Between which two days did the number change the most?
- Question 32 of 50
The perimeter of a rectangle is 62 m and its breadth is 21 m. What is its area?
- Question 33 of 50
Each small square has a side of 1 cm. What is the area of the shaded shape?
- Question 34 of 50
The perimeter of a regular pentagon is 50 cm. How long is each side?
- Question 35 of 50
How many steps is it from −23 to 20 on the number line?
Section 3 — Everyday Mathematics · 10 × 1 mark
- Question 36 of 50
Riddhi's field is a rectangle 24 m long and 8 m wide. Fencing costs ₹ 20 per metre. What will it cost to fence all the way round?
- Question 37 of 50
The price of a litre of diesel was ₹ 93 in 2019. It rose by ₹ 4 in 2020, fell by ₹ 7 in 2021 and rose by ₹ 6 in 2022. What was the price in 2022?
- Question 38 of 50
Diya asked everyone in the class to name a favourite sport and drew this graph. How many children chose something other than the most popular sport?
- Question 39 of 50
Meera drew a circle of radius 63 cm on a cloth with a compass, and cut it out. A straight ribbon is to be laid right across the middle of the cloth. How long must the ribbon be?
- Question 40 of 50
Anaya saves ₹ 45 on the first day of a holiday and, every day after that, ₹ 8 more than the day before. How much has Anaya saved in all after 9 days?
- Question 41 of 50
Saanvi's car odometer reads 59162 km. How many more kilometres must the car travel before the reading is a palindrome again?
- Question 42 of 50
Three bells in a temple ring every 11, 11 and 10 minutes. They ring together at 6 a.m. After how many minutes will they next ring together?
- Question 43 of 50
Aarav buys four things costing ₹ 228, ₹ 274, ₹ 703, ₹ 663. Rounding each price to the nearest ten, roughly how much is the bill?
- Question 44 of 50
Riddhi is setting up a party. One square table seats 4 people. When two tables are pushed together they seat 6, three tables seat 8, and so on. How many people can sit at 12 tables pushed together?
- Question 45 of 50
Reyansh is facing East and then turns 270° clockwise. Which direction is Reyansh facing now?
Section 4 — Achievers Section · 5 × 3 marks
- Question 46 of 50
Match each description in Column I with its value in Column II.
Column I Column II P. Number of factors of 64 (i) 16 Q. HCF of 24 and 36 (ii) 3 R. LCM of 4 and 16 (iii) 7 S. Number of prime factors of 598 (iv) 12
- Question 47 of 50
A square sheet of squared paper is folded in half along its vertical middle line, the left half laid over the right half, and then folded in half again along its horizontal middle line, the top half laid over the bottom half. Holes are then punched through all the layers, as shown. Which option shows the sheet when it is opened out?
- Question 48 of 50
Five friends sit in a row facing north.
(i) Meera sits 4 places to the right of Ishaan.
(ii) Saanvi sits immediately to the right of Reyansh.
(iii) Saanvi sits between Reyansh and Ira.
Who sits 2nd from the left?
- Question 49 of 50
How many palindromes are there from 351 to 747 (both included)?
- Question 50 of 50
Match each expression in Column I with its value in Column II.
Column I Column II P. 12/18 in its simplest form (i) 2/3 Q. 4 2/8 as an improper fraction (ii) 17/4 R. 1/5 + 1/8 (iii) 1/2 S. 1 − 3/6 (iv) 13/40
Answer key and explanations (opens below)
1. (B) 2. (A) 3. (A) 4. (B) 5. (D) 6. (B) 7. (A) 8. (C) 9. (D) 10. (C) 11. (B) 12. (D) 13. (A) 14. (B) 15. (D) 16. (D) 17. (D) 18. (D) 19. (B) 20. (B) 21. (A) 22. (B) 23. (D) 24. (C) 25. (D) 26. (B) 27. (A) 28. (B) 29. (C) 30. (C) 31. (D) 32. (B) 33. (A) 34. (D) 35. (B) 36. (A) 37. (A) 38. (A) 39. (A) 40. (B) 41. (C) 42. (D) 43. (B) 44. (D) 45. (D) 46. (C) 47. (C) 48. (C) 49. (C) 50. (D)
- 1. (B)
Counting on from A, the 7th letter is G.
- 2. (A)
A water image is the reflection in the water below, so it flips top to bottom, not left to right.
- 3. (A)
37 = 6 × 6 + 1, so the same rule on 4 gives 17 = 4 × 4 + 1.
- 4. (B)
Each group starts 2 letters after the one before, and inside a group the letters go up by 2. After MO comes OQ.
- 5. (D)
The figure is built from triangle, rhombus, star, trapezium — there is no right-angled triangle anywhere in it.
- 6. (B)
Along each row the same figure turns a quarter more each time, so the last one has turned twice — 180°.
- 7. (A)
Opening a fold reflects every hole across the fold line, as in a mirror, so each fold doubles the holes. 2 holes punched through 2 layers make 4 holes on the opened sheet.
- 8. (C)
ACTION needs the letter C, which is not in INFORMATION. The other three use only letters that INFORMATION has.
- 9. (D)
The figures repeat every 2, so the next one is a trapezium.
- 10. (C)
Take the time away from 11:60. 11:60 − 6:20 = 5:40.
- 11. (B)
Folding the flat pieces up along their shared edges closes them into a cylinder.
- 12. (D)
There are 6 points along the base, and every pair of them gives one triangle: (6 × 5) ÷ 2 = 15.
- 13. (A)
The natural order is Flour → Dough → Baking → Bread.
- 14. (B)
A mirror held at the side swaps left and right but keeps top and bottom the same way up.
- 15. (D)
Choose any 2 of the 4 horizontal lines and any 2 of the 3 vertical ones: 6 × 3 = 18.
- 16. (D)
The diameter is twice the radius: 2 × 37 = 74 cm.
- 17. (D)
P pairs with the 5 points after it, Q with the 4 after it, and so on: 5 + 4 + 3 + 2 + 1 = 15.
- 18. (D)
Put both over 6 and take one from the other: the answer is 1/6.
- 19. (B)
1 + 2 + 3 + … + 8 = (8 × 9) ÷ 2 = 36 dots.
- 20. (B)
Counting up to a number and back down always gives that number times itself: 14 × 14 = 196.
- 21. (A)
The hour hand moves ½° a minute and the minute hand 6°. At 2:10 they are 5° apart the short way round.
- 22. (B)
Written over 24 they are 7/24, 9/24, 10/24, 20/24, so the order is 7/24 < 3/8 < 5/12 < 5/6.
- 23. (D)
The first one takes 4 sticks and each of the other 8 takes only 3 more: 4 + 8 × 3 = 28.
- 24. (C)
Each bundle of tallies is 5, so VI-C reads 9.
- 25. (D)
Each step adds 8, and there are 33 steps after the first number: 4 + 33 × 8 = 268.
- 26. (B)
Multiplying the top and the bottom of 1/6 by 6 gives 6/36, which is the same amount.
- 27. (A)
Complementary angles add up to 90°, so the other angle is 90° − 18° = 72°.
- 28. (B)
Written without the colon, 05:50 is 0550 — the same read either way.
- 29. (C)
Every zero pair uses one token of each kind, so the smaller pile, 8, decides how many pairs there can be.
- 30. (C)
10 + 16 = 26.
- 31. (D)
From Wed to Thu the count fell by 50, more than any other step.
- 32. (B)
Half the perimeter is length + breadth = 31 m, so the length is 31 − 21 = 10 m, and the area is 10 × 21 = 210 sq. m.
- 33. (A)
There are 38 shaded squares and each is 1 sq. cm, so the area is 38 sq. cm.
- 34. (D)
All 5 sides are equal, so each is 50 ÷ 5 = 10 cm.
- 35. (B)
From −23 up to 0 is 23 steps, and 0 up to 20 is 20 more: 23 + 20 = 43.
- 36. (A)
The fence goes round the perimeter, 2 × (24 + 8) = 64 m, and 64 × 20 = ₹ 1,280.
- 37. (A)
93 + 4 − 7 + 6 = 96, so the price was ₹ 96.
- 38. (A)
28 children answered and 10 chose Cricket, so 28 − 10 = 18 chose something else.
- 39. (A)
Right across the middle is the diameter, which is twice the radius: 2 × 63 = 126 cm.
- 40. (B)
The savings go 45, 53, 61, … up to ₹ 109 on day 9. Adding all 9 amounts gives ₹ 693.
- 41. (C)
The next palindrome after 59162 is 59195, and 59195 − 59162 = 33 km.
- 42. (D)
They ring together again after the LCM of 11, 11 and 10, which is 110 minutes.
- 43. (B)
The rounded prices are ₹ 230, ₹ 270, ₹ 700, ₹ 660, and they add to ₹ 1,860.
- 44. (D)
The first table seats 4 and every table after it adds 2 more seats: 4 + 11 × 2 = 26.
- 45. (D)
Every 90° turn moves one direction along, so 270° clockwise from East is North.
- 46. (C)
Number of factors of 64 is 7; HCF of 24 and 36 is 12; LCM of 4 and 16 is 16; Number of prime factors of 598 is 3.
- 47. (C)
Opening a fold reflects every hole across the fold line, as in a mirror, so each fold doubles the holes. 1 hole punched through 4 layers make 4 holes on the opened sheet.
- 48. (C)
Working through the clues, the order from the left is Ishaan, Reyansh, Saanvi, Ira, Meera, so the 2nd seat is Reyansh's.
- 49. (C)
A 3-digit palindrome is fixed by its first two digits, and 40 of them lie between 351 and 747.
- 50. (D)
12/18 in its simplest form is 2/3; 4 2/8 as an improper fraction is 17/4; 1/5 + 1/8 is 13/40; 1 − 3/6 is 1/2.
About this mock test
- Is this IMO Class 6 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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- 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 6 syllabus. The questions are Sprinto's own, not SOF's; Sprinto is not affiliated with the Science Olympiad Foundation.
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This paper stays the same so it can be printed and shared. In the app every IMO Class 6 question is new, the next one is picked to be just hard enough, and mistakes come back until they stick. Still free.