1. Find the next number in the series: 8, 11, 14, 17, 20, ____.
A23
B25
C22
D24
KW
KNOWLEDGEWALA
Practice Olympiad Desk
IMO PRACTICE
International Mathematics Olympiad
Practice question paper · Class 7 · Set A
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 | A |
| Time allowed | 60 minutes |
| Maximum marks | 60 |
| Number of questions | 50 |
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.
2. Find the next letter in the series: I, J, K, L, M, ____.
AM
BL
CN
DO
3. Which number does not belong with the others?
A30
B21
C50
D40
4. 5 : 10 :: 8 : ____
A16
B15
C17
D18
5. If each letter of a word is moved two steps forward in the alphabet, PLANT is written as RNCPV. Using the same rule, how is MANGO written?
ANBOHP
BOGNAM
COCPIQ
DPDQJR
6. Find the next number in the series: 2, 4, 8, 16, ____.
A32
B31
C33
D34
7. In a certain code, a word is written backwards. MANGO is written as OGNAM. How is TIGER written in that code?
AUJHFS
BEGITA
CREGIT
DTIGER
8. In a row of 32 students, Aarav is 9th from the left. What is Aarav's position from the right?
A26
B25
C24
D23
9. Find the next number in the series: 9, 16, 25, 36, 49, ____.
A66
B63
C65
D64
10. Aarav walks 15 km north and then 8 km east. How far is Aarav from the starting point, in a straight line?
A23 km
B17 km
C18 km
D7 km
11. What is the angle between the hour hand and the minute hand at 6:30?
A30°
B15°
C45°
D0°
12. Isha says, "That girl is the daughter of the only son of my grandfather." The only son is Isha's father, and the girl is not Isha. How is the girl related to Isha?
AAunt
BSister
CCousin
DMother
13. Find the next number in the series: 12, 16, 24, 28, 36, ____.
A41
B39
C40
D42
14. If 1 January falls on a Thursday, which day of the week is 22 January?
AWednesday
BThursday
CSaturday
DFriday
15. 3 : 9 :: 10 : ____
A102
B100
C101
D99
Mathematical Reasoning
Questions 16 to 35. Each question carries 1 mark.
16. Solve for x: 7x + 10 = 38.
A5
B4
C3
D6
17. The value of 5³ is ____.
A127
B126
C125
D124
18. Find the simple interest on ₹2000 for 4 years at 5% per annum.
A₹100
B₹401
C₹500
D₹400
19. Two angles of a triangle are 50° and 52°. What is the third angle?
A88°
B78°
C130°
D102°
20. The value of (2 + 2)² is ____.
A18
B16
C15
D17
21. A bag has 2 red marbles and 8 blue marbles. One marble is drawn at random. What is the probability that it is red?
A4/5
B1/2
C1/4
D1/5
22. 3/4 + 2/4 = ____
A5/4
B5/16
C5/8
D5/2
23. What is 10% of 50?
A6
B5
C7
D4
24. Solve for x: 6x + 7 = 43.
A5
B6
C7
D8
25. The value of 3³ is ____.
A26
B29
C27
D28
26. Find the simple interest on ₹2000 for 5 years at 8% per annum.
A₹801
B₹960
C₹800
D₹160
27. Two angles of a triangle are 52° and 45°. What is the third angle?
A93°
B83°
C97°
D128°
28. The value of (7 + 5)² is ____.
A146
B144
C145
D143
29. A bag has 5 red marbles and 2 blue marbles. One marble is drawn at random. What is the probability that it is red?
A5/7
B1/5
C2/7
D5/2
30. 1/6 + 6/8 = ____
A1/2
B7/48
C11/12
D22/7
31. What is 10% of 200?
A19
B20
C21
D22
32. Solve for x: 4x + 4 = 20.
A3
B6
C4
D5
33. The value of 2⁵ is ____.
A33
B32
C31
D34
34. Find the simple interest on ₹800 for 3 years at 4% per annum.
A₹97
B₹32
C₹96
D₹128
35. Two angles of a triangle are 54° and 60°. What is the third angle?
A114°
B66°
C76°
D126°
Everyday Mathematics
Questions 36 to 45. Each question carries 1 mark.
36. A shopkeeper buys a lamp for ₹200 and sells it at a profit of 25%. What is the selling price?
A₹250
B₹200
C₹50
D₹150
37. A cycle costing ₹450 is sold at a loss of ₹150. What is the selling price?
A₹300
B₹600
C₹150
D₹250
38. A bag marked ₹800 is sold at a discount of 10%. How much does Kabir pay?
A₹790
B₹720
C₹80
D₹800
39. A tap fills 10 litres of water in one hour. How much water does it fill in 3 hours?
A30 litres
B40 litres
C3 litres
D13 litres
40. Isha earns ₹500 per day and works 24 days in a month. What is the month's earning?
A₹12001
B₹524
C₹12000
D₹11500
41. ₹126 is divided between Diya and a friend in the ratio 2:4. How much does Diya get?
A₹84
B₹42
C₹126
D₹168
42. A bus travels at 36 km/h for 3 hours. What distance does it cover?
A12 km
B39 km
C108 km
D144 km
43. A shopkeeper buys a lamp for ₹120 and sells it at a profit of 10%. What is the selling price?
A₹108
B₹132
C₹120
D₹12
44. A cycle costing ₹530 is sold at a loss of ₹100. What is the selling price?
A₹630
B₹100
C₹380
D₹430
45. A bag marked ₹400 is sold at a discount of 10%. How much does Aarav pay?
A₹400
B₹360
C₹390
D₹40
Achievers Section
Questions 46 to 50. Each question carries 3 marks.
46. A father is 5 times as old as his son. The sum of their ages is 30 years. How old is the son?
A5 years
B25 years
C10 years
D30 years
47. The sum of two numbers is 54 and their difference is 4. What is the larger number?
A30
B28
C29
D31
48. Each exterior angle of a regular polygon is 36°. How many sides does the polygon have?
A9
B12
C11
D10
49. Diya buys 5 notebooks at ₹x each and a pen for ₹4. The bill is ₹49. What is the price of one notebook?
A₹49
B₹13
C₹9
D₹5
50. A number leaves remainder 5 when divided by 8. The quotient is 10. What is the number?
A86
B85
C87
D84
END OF QUESTION PAPER
Answer key
Teacher copy for Knowledgewala. Class 7, Set A. The same class and set always rebuild this paper.
1A
2C
3B
4A
5C
6A
7C
8C
9D
10B
11B
12B
13C
14B
15B
16B
17C
18D
19B
20B
21D
22A
23B
24B
25C
26C
27B
28B
29A
30C
31B
32C
33B
34C
35B
36A
37A
38B
39A
40C
41B
42C
43B
44D
45B
46A
47C
48D
49C
50B
Knowledgewala · IMO practice · Class 7 · Set A
Not an official SOF paper