Question 1 of 50
Arrange the following in a meaningful order (making a book).
1. Binding
2. Editing
3. Writing
4. Printing
🔢 Maths · Class 7 · 2026-27
SOF IMO Class 7 free mock test and sample paper
A full IMO Class 7 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
In a certain code language, SUMMER is written as UWOOGT. How will CANDLE be written in the same code?
- Question 3 of 50
Find the missing number.
12 : 1728 :: 10 : ?
- Question 4 of 50
Which option is the mirror image of the given figure when the mirror is held on its right?
- Question 5 of 50
Which of the following options satisfies the same conditions of placement of the dot as in the given figure?
- Question 6 of 50
In a certain code language, PLANET is written as RICKGQ. How will SUMMER be written in the same code?
- Question 7 of 50
Reyansh is the father of Ishaan. Ishaan is the brother of Aditi and the father of Ira. How is Reyansh related to Ira?
- Question 8 of 50
A film begins at 10:50 a.m. and runs for 3 hours and 10 minutes. At what time does it end?
- Question 9 of 50
Which figure comes next in the series?
- Question 10 of 50
Five friends sit in a row, all facing north.
(i) Kabir sits between Meera and Ira.
(ii) Meera sits at the extreme left end.
(iii) Vihaan sits at the extreme right end.
Who sits at the extreme left end?
- Question 11 of 50
Which figure does not belong with the other three?
- Question 12 of 50
The codes of some digits are given below.
Digits 5 4 3 2 6 7 9 1 Codes & $ * = + ! # ?
Find the code for 37215.
- Question 13 of 50
Which of the following diagrams best represents the relationship among Chairs, Parrots, Birds?
- Question 14 of 50
Look carefully at the figure. Which of these shapes is part of it?
- Question 15 of 50
A wall clock shows the time drawn below. What time does its mirror image appear to show?
Section 2 — Mathematical Reasoning · 20 × 1 mark
- Question 16 of 50
What is the place value of the digit 1 in 29,50,162?
- Question 17 of 50
What is the size of each interior angle of an equilateral triangle?
- Question 18 of 50
Which pair below are like terms?
- Question 19 of 50
A grasshopper starts at −7 on the number line and makes 5 jumps of 1 to the right. Where does it land?
- Question 20 of 50
Compare and fill the box using >, < or =.
1156 + 1814 − 1121 ☐ 959 − 1475 + 2311
- Question 21 of 50
Two triangles are drawn so that two sides and the angle between them are equal in both triangles. By which rule are they congruent?
- Question 22 of 50
What is the least number that must be added to 2938 to make it exactly divisible by 11?
- Question 23 of 50
Which of these is the prime factorisation of 154?
- Question 24 of 50
Which value of x makes 7x + 12 = 47 true?
- Question 25 of 50
In the given figure, LM ∥ PN and AB cuts them at O and Q. If ∠AOM = 70°, find ∠MOQ.
- Question 26 of 50
Two angles of △ABC are 48° and 32°. What is the third angle?
- Question 27 of 50
A city has a population of 92.8 million. How is that said in the Indian system?
- Question 28 of 50
If △DEF ≅ △YZX, which of these must be true?
- Question 29 of 50
Which expression has the same value as 75 − (16 − 3)?
- Question 30 of 50
What is the HCF of 45 and 117?
- Question 31 of 50
The angles of a triangle are in the ratio 1 : 7 : 12. What is the smallest angle?
- Question 32 of 50
Without working out the answers, fill the box with >, < or =.
310 − 398 ☐ 315 − 407
- Question 33 of 50
Which of these shows the decimals in descending order?
- Question 34 of 50
What is the sum of the digits of 29971?
- Question 35 of 50
Find the mode of: 12, 53, 12, 12, 63, 32
Section 3 — Everyday Mathematics · 10 × 1 mark
- Question 36 of 50
A rope is 615 cm long. How long is it in metres?
- Question 37 of 50
Saanvi scored 75, 84, 85, 79 and 57 in five tests. What was the average score?
- Question 38 of 50
Kabir gets into a lift at floor 1. It goes up 8 floors and then down 12 floors. Where is Kabir now?
- Question 39 of 50
Reyansh had 91 old stamps, lost 4/7 of them and gave 1/7 of them away. How many stamps are left now?
- Question 40 of 50
Meera buys 8 chocolates at ₹ 15 each and 7 notebooks at ₹ 20 each, and pays with a ₹ 500 note. Which expression gives the change Meera gets back?
- Question 41 of 50
A school orders 21 tablets at ₹ 6,202 each for Arjun's computer lab. What is the total cost?
- Question 42 of 50
A cricket team of 7 batters scored an average of 38 runs each. How many runs did the team score in all?
- Question 43 of 50
Arjun buys 4 notebooks at ₹ 61.67 each and pays with ₹ 300. How much change comes back?
- Question 44 of 50
The table shows last month's rainfall. Which place had the least rain?
| Place | Rainfall (mm) |
| --- | --- |
| Nagpur | 80 |
| Ranchi | 165 |
| Indore | 85 |
| Bhopal | 245 |
- Question 45 of 50
A bus charges ₹ 44 for an adult and half of that for a child. What do 2 adults and 6 children pay altogether?
Section 4 — Achievers Section · 5 × 3 marks
- Question 46 of 50
In the given figure, LM ∥ PN. If ∠MOQ = (2x + 101)° and ∠OQN = (4x + 25)°, find the value of x.
- Question 47 of 50
The mean of 15, 13, x, 13, 22 is 23. What is the value of x?
- Question 48 of 50
Read the following statements carefully and select the correct option.
Statement-1: −18 − 17 = −1
Statement-2: (−8) × (−6) = −48
- Question 49 of 50
Vihaan spent 1/5 of a month's savings on a book, then 2/3 of what was left on a gift, and still has ₹ 220. How much was saved to begin with?
- Question 50 of 50
How many squares of any size are there in the given figure?
Answer key and explanations (opens below)
1. (C) 2. (C) 3. (B) 4. (A) 5. (D) 6. (A) 7. (B) 8. (B) 9. (B) 10. (B) 11. (C) 12. (A) 13. (C) 14. (D) 15. (B) 16. (D) 17. (C) 18. (B) 19. (C) 20. (B) 21. (C) 22. (D) 23. (C) 24. (D) 25. (D) 26. (B) 27. (C) 28. (C) 29. (C) 30. (C) 31. (B) 32. (C) 33. (B) 34. (A) 35. (D) 36. (B) 37. (D) 38. (B) 39. (B) 40. (C) 41. (C) 42. (A) 43. (B) 44. (B) 45. (C) 46. (D) 47. (D) 48. (D) 49. (A) 50. (B)
- 1. (C)
The natural order is Writing → Editing → Printing → Binding, which is 3, 2, 4, 1 as the list is numbered here.
- 2. (C)
Every letter moves 2 places forward in the alphabet, so CANDLE becomes ECPFNG.
- 3. (B)
The second number is the cube of the first: 12 × 12 × 12 = 1728. In the same way 10 × 10 × 10 = 1000.
- 4. (A)
A mirror held at the side swaps left and right but keeps top and bottom the same way up.
- 5. (D)
In the given figure the dot is inside all three shapes. Only one option has its dot in a region like that; in every other option the dot is in or out of a different shape.
- 6. (A)
The shift is not the same all through: the 1st, 3rd and 5th letters move 2 places forward while the 2nd, 4th and 6th move 3 places back. That turns SUMMER into UROJGO.
- 7. (B)
Follow the chain one link at a time and the relationship comes out as grandfather.
- 8. (B)
10:50 a.m. plus 3 hours is 1:50 p.m., and 10 minutes more makes 2:00 p.m. — the clock passes 12 noon on the way, so morning becomes afternoon.
- 9. (B)
The series repeats every 3 figures, so after the pentagon the next one is a cross.
- 10. (B)
Putting the clues together, the only order that fits, from the left, is Meera, Kabir, Ira, Reyansh, Vihaan.
- 11. (C)
Three of them have 4 sides; the odd one out has 8.
- 12. (A)
Reading 37215 digit by digit against the table gives *!=?&.
- 13. (C)
All parrots are birds, so one circle sits inside the other, and chairs stand apart from both.
- 14. (D)
The figure is built from right-angled triangle, arrow, hexagon, pentagon; the other three shapes are nowhere in it.
- 15. (B)
Subtract the time from 11:60. 11:60 − 4:55 = 7:05.
- 16. (D)
That 1 stands in the hundreds place, so its place value is 1 × 100 = 100. Its face value is only 1.
- 17. (C)
Going once round the outside turns through 360°, so each exterior angle is 360 ÷ 3 = 120°. The interior angle is what is left of the straight line: 180° − 120° = 60°.
- 18. (B)
Like terms carry exactly the same letter part. 6m and 3m both have just m, so they can be added; 6m and 3p cannot.
- 19. (C)
5 jumps of 1 move it 5 to the right, so it goes from −7 to −7 + 5 = −2.
- 20. (B)
The left side is 1849. The right side is 959 − 1475 + 2311 = 1795. Working both out in full is the only safe way — the signs make eyeballing it useless.
- 21. (C)
That is exactly the SAS rule: two sides and the angle between them are equal in both triangles.
- 22. (D)
A number is divisible by 11 when the difference of the two alternating digit sums is a multiple of 11. 2938 leaves a remainder of 1 on division by 11, so 10 more takes it up to the next multiple.
- 23. (C)
Keep dividing by the smallest prime that goes in: 154 = 2 × 7 × 11. Every factor in the list must itself be prime, so 1 can never appear.
- 24. (D)
Put each value in and see. With x = 5: 7 × 5 = 35, and 35 + 12 = 47. ✓
- 25. (D)
∠MOQ = 110°, because ∠AOM and ∠MOQ are a linear pair.
- 26. (B)
The three angles of any triangle add up to 180°, so the third one is 180° − 48° − 32° = 100°.
- 27. (C)
1 million is 10 lakh, so 92.8 million = 928 lakh = 9 crore 28 lakh (9,28,00,000).
- 28. (C)
The letters are paired in the order they are written: D ↔ Y, E ↔ Z, F ↔ X. So ∠E = ∠Z.
- 29. (C)
A minus sign in front of a bracket changes the sign of every term inside it, so 75 − (16 − 3) = 75 − 16 + 3 = 62.
- 30. (C)
45 = 3 × 3 × 5 and 117 = 3 × 3 × 13. The factors they share multiply to 9.
- 31. (B)
The three angles make 180°, so 20 equal parts are 180° and one part is 9°. The smallest angle is 1 × 9° = 9°.
- 32. (C)
The right side starts 5 bigger but takes away 9 more, a change of −4 altogether, so the sign is >.
- 33. (B)
Write them all to three decimal places — 0.100, 0.510, 0.501, 0.051 — and compare those as whole numbers of thousandths. In descending order they are 0.51 > 0.501 > 0.1 > 0.051.
- 34. (A)
Add the digits one by one: 2 + 9 + 9 + 7 + 1 = 28.
- 35. (D)
12 appears three times and every other number appears once, so the mode is 12.
- 36. (B)
100 cm make 1 m, so divide by 100: 615 cm = 6.15 m. Dividing by 100 moves the point two places to the left.
- 37. (D)
The five scores add up to 380, and 380 ÷ 5 = 76.
- 38. (B)
Up is +8 and down is −12, so the lift ends at 1 + 8 − 12 = −3, which is basement 3.
- 39. (B)
4/7 of 91 is 52 and 1/7 of 91 is 13. Together that is 65 gone, leaving 26.
- 40. (C)
The two costs are 8 × 15 and 7 × 20. Both must come off the ₹ 500, so the whole bill needs brackets round it.
- 41. (C)
21 × ₹ 6,202 = ₹ 1,30,242.
- 42. (A)
The average is the total shared out equally, so the total is 7 × 38 = 266 runs.
- 43. (B)
4 × ₹ 61.67 = ₹ 246.68, and ₹ 300 − ₹ 246.68 = ₹ 53.32.
- 44. (B)
Nagpur recorded 80 mm, which is the smallest figure in the table.
- 45. (C)
A child pays ₹ 22. So the fare is 2 × 44 + 6 × 22 = 88 + 132 = ₹ 220.
- 46. (D)
∠MOQ and ∠OQN are co-interior angles between the parallel lines, so they add to 180°: (2x + 101) + (4x + 25) = 180. That gives 6x = 54, so x = 9.
- 47. (D)
Five numbers with a mean of 23 must add up to 5 × 23 = 115. The four known ones come to 63, so x = 115 − 63 = 52.
- 48. (D)
−18 − 17 means going 17 further left, so it is −35. And a negative times a negative is positive, so (−8) × (−6) = 48.
- 49. (A)
After the book 1/3 of the rest was still there, so ₹ 220 is 1/3 of ₹ 660. And ₹ 660 is 4/5 of the savings, so the savings were ₹ 825.
- 50. (B)
Count them by size: there are 10 single squares, and then the bigger ones on top of those. Altogether that comes to 14.
About this mock test
- Is this IMO Class 7 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.
- Can I print it?
- 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 7 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 7 question is new, the next one is picked to be just hard enough, and mistakes come back until they stick. Still free.