KNOWLEDGEWALA

Practice Olympiad Desk

IMO PRACTICE

International Mathematics Olympiad

Practice question paper · Class 7 · Set C

Practice material for Knowledgewala. This is not an official Science Olympiad Foundation paper and is not issued by SOF. Questions are original items written in the school IMO pattern.

Class	7
Set	C
Time allowed	60 minutes
Maximum marks	60
Number of questions	50

Name Dhruv Sahu Class 7 Roll no. School

General instructions

This practice paper has 50 questions and 60 marks. Time allowed is 60 minutes. It follows the Level-1 section pattern. It is not an official SOF paper.
This test is based on the MCQ pattern. There are 4 options, out of which only one is correct.
Each question carries the marks shown in its section. Logical Reasoning: 15 × 1. Mathematical Reasoning: 20 × 1. Everyday Mathematics: 10 × 1. Achievers Section: 5 × 3.
The Achievers Section carries higher marks. Finish the first three sections before the Achievers Section.
On screen, choose Attempt on screen. Total Time is the time allowed. Elapsed Time begins as soon as you view the first question.
Click Next or Previous to move from one question to another. That keeps the chosen option. Clear Response removes the choice on the question you are viewing.
Flag a question you want to return to. The navigator uses Non Visited, Answered, Skipped and Flagged.
Click End Test when you have finished. Once you end the test, or the time is up, you cannot edit the answers. The result is shown at once.
Work without a calculator. Write your name before a paper sitting, or use Attempt on screen. The answer key at the end is the teacher copy.

Class 7 topic band. Rational numbers, linear equations, exponents, profit and loss, probability, triangles and mensuration.

Logical Reasoning

Questions 1 to 15. Each question carries 1 mark.

1. Find the next number in the series: 15, 20, 25, 30, 35, ____.

A41

B39

C42

D40

2. Find the next letter in the series: G, I, K, M, O, ____.

3. Which number does not belong with the others?

A30

B24

C18

D13

4. 8 : 32 :: 9 : ____

A35

B37

C38

D36

5. If each letter of a word is moved two steps forward in the alphabet, TIGER is written as VKIGT. Using the same rule, how is MANGO written?

ANBOHP

BPDQJR

COGNAM

DOCPIQ

6. Find the next number in the series: 2, 6, 18, 54, ____.

A161

B164

C162

D163

7. In a certain code, a word is written backwards. GRAPE is written as EPARG. How is TIGER written in that code?

AEGITA

BREGIT

CUJHFS

DTIGER

8. In a row of 19 students, Diya is 7th from the left. What is Diya's position from the right?

A13

B14

C15

D12

9. Find the next number in the series: 4, 9, 16, 25, 36, ____.

A51

B49

C50

D48

10. Meera walks 3 km north and then 4 km east. How far is Meera from the starting point, in a straight line?

A7 km

B6 km

C1 km

D5 km

11. What is the angle between the hour hand and the minute hand at 1:20?

A95°

B80°

C110°

D50°

12. Sara has one brother. Pointing to that boy, a girl says, "He is the only son of my father." The girl is Sara. How is the boy related to Sara?

ABrother

BCousin

CFather

DUncle

13. Find the next number in the series: 10, 12, 16, 18, 22, ____.

A24

B23

C25

D26

14. If 1 January falls on a Friday, which day of the week is 18 January?

AMonday

BTuesday

CWednesday

DSunday

15. 7 : 49 :: 10 : ____

A102

B99

C100

D101

Mathematical Reasoning

Questions 16 to 35. Each question carries 1 mark.

16. Solve for x: 5x + 6 = 16.

17. The value of 2³ is ____.

A10

18. Find the simple interest on ₹2000 for 2 years at 10% per annum.

A₹400

B₹600

C₹200

D₹401

19. Two angles of a triangle are 74° and 56°. What is the third angle?

A106°

B130°

C50°

D60°

20. The value of (10 + 1)² is ____.

A122

B120

C121

D123

21. A bag has 5 red marbles and 8 blue marbles. One marble is drawn at random. What is the probability that it is red?

A1/5

B5/8

C5/13

D8/13

22. 1/2 + 2/5 = ____

A3/7

B3/10

C9/7

D9/10

23. What is 25% of 40?

B10

C12

D11

24. Solve for x: 3x + 2 = 26.

B10

25. The value of 3² is ____.

A11

C10

26. Find the simple interest on ₹800 for 2 years at 4% per annum.

A₹64

B₹96

C₹65

D₹32

27. Two angles of a triangle are 49° and 77°. What is the third angle?

A126°

B64°

C131°

D54°

28. The value of (8 + 6)² is ____.

A196

B195

C198

D197

29. A bag has 8 red marbles and 7 blue marbles. One marble is drawn at random. What is the probability that it is red?

A8/15

B1/8

C7/15

D8/7

30. 5/6 + 2/4 = ____

A7/10

B7/24

C4/3

D16/5

31. What is 40% of 150?

A62

B59

C61

D60

32. Solve for x: 9x + 4 = 40.

33. The value of 4³ is ____.

A64

B66

C63

D65

34. Find the simple interest on ₹2500 for 2 years at 5% per annum.

A₹125

B₹250

C₹375

D₹251

35. Two angles of a triangle are 55° and 79°. What is the third angle?

A134°

B125°

C56°

D46°

Everyday Mathematics

Questions 36 to 45. Each question carries 1 mark.

36. A shopkeeper buys a lamp for ₹250 and sells it at a profit of 25%. What is the selling price?

A₹312.5

B₹250

C₹62.5

D₹187.5

37. A cycle costing ₹610 is sold at a loss of ₹200. What is the selling price?

A₹410

B₹360

C₹200

D₹810

38. A bag marked ₹200 is sold at a discount of 50%. How much does Meera pay?

A₹150

B₹101

C₹100

D₹200

39. A tap fills 5 litres of water in one hour. How much water does it fill in 5 hours?

A30 litres

B25 litres

C5 litres

D10 litres

40. Rohan earns ₹250 per day and works 25 days in a month. What is the month's earning?

A₹275

B₹6000

C₹6251

D₹6250

41. ₹87 is divided between Meera and a friend in the ratio 2:1. How much does Meera get?

A₹29

B₹87

C₹59

D₹58

42. A bus travels at 40 km/h for 5 hours. What distance does it cover?

A240 km

B45 km

C200 km

D8 km

43. A shopkeeper buys a lamp for ₹120 and sells it at a profit of 15%. What is the selling price?

A₹120

B₹102

C₹138

D₹18

44. A cycle costing ₹510 is sold at a loss of ₹150. What is the selling price?

A₹360

B₹660

C₹310

D₹150

45. A bag marked ₹200 is sold at a discount of 20%. How much does Myra pay?

A₹40

B₹160

C₹200

D₹180

Achievers Section

Questions 46 to 50. Each question carries 3 marks.

46. A father is 4 times as old as his son. The sum of their ages is 25 years. How old is the son?

A9 years

B25 years

C5 years

D20 years

47. The sum of two numbers is 75 and their difference is 5. What is the larger number?

A41

B40

C42

D39

48. Each exterior angle of a regular polygon is 40°. How many sides does the polygon have?

A10

D11

49. Ananya buys 6 notebooks at ₹x each and a pen for ₹6. The bill is ₹60. What is the price of one notebook?

A₹60

B₹15

C₹9

D₹6

50. A number leaves remainder 1 when divided by 7. The quotient is 11. What is the number?

A78

B80

C77

D79

END OF QUESTION PAPER

Answer key

Teacher copy for Knowledgewala. Class 7, Set C. The same class and set always rebuild this paper.

10D

11B

12A

13A

14A

15C

16D

17B

18A

19C

20C

21C

22D

23B

24D

25D

26A

27D

28A

29A

30C

31D

32B

33A

34B

35D

36A

37A

38C

39B

40D

41D

42C

43C

44A

45B

46C

47B

48B

49C

50A

Knowledgewala · IMO practice · Class 7 · Set C Not an official SOF paper