100 IMO Grade 6 Maths Questions with Answers | Olympiad Practice Set


IMO Grade 6 Practice Paper (100 Questions)



imo grade 6


About Grade 6 Mathematics Olympiad

The Grade 6 Mathematics Olympiad is a competitive exam designed to develop strong logical thinking and problem-solving skills at an early stage. Unlike regular school exams, Olympiad questions focus less on direct formulas and more on understanding concepts and applying them in different situations.

At this level, students are introduced to a mix of topics such as number systems, fractions and decimals, basic algebra, geometry, data handling, and logical reasoning. The questions are often designed to test how well a student can think, analyze patterns, and solve problems step by step.

One of the key differences between school exams and Olympiads is the approach. In school, students usually practice straightforward questions, but in Olympiads, even simple concepts are presented in a tricky or application-based way. This helps students build deeper understanding and improves their accuracy and speed.

Practicing a variety of questions, like the 100 questions provided in this post, plays an important role in preparation. It helps students become familiar with different question types, reduces exam fear, and builds confidence over time. Regular practice also improves time management, which is very important during the actual exam.

Students preparing for the Grade 6 Olympiad should focus on:

  • Understanding concepts clearly instead of memorizing formulas
  • Practicing different types of questions regularly
  • Reviewing mistakes and learning from them
  • Developing logical reasoning skills

With consistent effort and the right practice, students can perform very well in Olympiads and build a strong foundation for higher-level mathematics competitions in the future.

Section A: Logical Reasoning

here these 100 questions will help your 

  1. Which number comes next in the pattern: 3, 6, 12, 24, ___?
    a) 30
    b) 36
    c) 48
    d) 60

  2. Find the odd one out: 121, 144, 169, 196, 210
    a) 121
    b) 144
    c) 169
    d) 210

  3. If A = 1, B = 2, ..., Z = 26, find the value of WORD.
    a) 60
    b) 72
    c) 68
    d) 70

  4. In a certain code, CAT is written as DBU. How is DOG written?
    a) EPH
    b) EOG
    c) FPH
    d) EPG

  5. Find the missing number: 2, 5, 11, 23, ___
    a) 45
    b) 46
    c) 47
    d) 48

  6. Which figure has exactly one line of symmetry?
    a) Square
    b) Circle
    c) Rectangle
    d) Scalene triangle

  7. If today is Monday, what day will it be after 45 days?
    a) Tuesday
    b) Wednesday
    c) Thursday
    d) Friday

  8. Which number does not belong: 8, 27, 64, 100, 125
    a) 8
    b) 27
    c) 64
    d) 100

  9. Find the missing term: 7, 14, 28, ___, 112
    a) 42
    b) 48
    c) 52
    d) 56

  10. Mirror image of 69 is:
    a) 69
    b) 96
    c) 66
    d) 99

Section B: Numbers & Operations

  1. Find the value of 784 + 596
    a) 1380
    b) 1370
    c) 1390
    d) 1400

  2. Subtract: 5000 − 2876
    a) 2124
    b) 2134
    c) 2144
    d) 2154

  3. Multiply: 48 × 25
    a) 1100
    b) 1200
    c) 1300
    d) 1400

  4. Divide: 936 ÷ 12
    a) 76
    b) 77
    c) 78
    d) 79

  5. Which number is divisible by both 3 and 5?
    a) 45
    b) 32
    c) 28
    d) 41

  6. Find the LCM of 6 and 15
    a) 30
    b) 45
    c) 60
    d) 90

  7. Find the HCF of 24 and 36
    a) 6
    b) 8
    c) 12
    d) 18

  8. Which is the smallest prime number?
    a) 1
    b) 2
    c) 3
    d) 5

  9. What is the square of 13?
    a) 156
    b) 159
    c) 169
    d) 179

  10. What is the cube of 3?
    a) 6
    b) 9
    c) 18
    d) 27

Section C: Fractions, Decimals & Percentages

  1. Simplify: 18/24
    a) 2/3
    b) 3/4
    c) 4/5
    d) 5/6

  2. Add: 3/8 + 5/8
    a) 1
    b) 7/8
    c) 8/16
    d) 6/8

  3. Subtract: 9/10 − 3/10
    a) 3/5
    b) 6/10
    c) 7/10
    d) 2/5

  4. Multiply: 2/5 × 5/6
    a) 1/3
    b) 2/3
    c) 5/12
    d) 1/2

  5. Divide: 3/4 ÷ 1/2
    a) 3/8
    b) 3/2
    c) 1/2
    d) 2/3

  6. Convert 0.6 into fraction
    a) 3/5
    b) 2/3
    c) 6/10
    d) 4/5

  7. Find 25% of 240
    a) 50
    b) 55
    c) 60
    d) 65

  8. Which is greater?
    a) 0.5
    b) 0.05
    c) 0.55
    d) 0.505

  9. Convert 3/4 into decimal
    a) 0.25
    b) 0.5
    c) 0.75
    d) 0.8

  10. Find 10% of 450
    a) 40
    b) 45
    c) 50
    d) 55

Section D: Algebra

  1. Find the value of x: x + 15 = 40
    a) 20
    b) 25
    c) 30
    d) 35

  2. Solve: 2x = 50
    a) 20
    b) 25
    c) 30
    d) 35

  3. If x − 7 = 13, then x =
    a) 18
    b) 19
    c) 20
    d) 21

  4. Find x: 3x = 27
    a) 6
    b) 7
    c) 8
    d) 9

  5. Value of 2x + 5 when x = 4
    a) 11
    b) 12
    c) 13
    d) 14

Section E: Geometry & Mensuration

  1. Sum of angles of a triangle is
    a) 90°
    b) 180°
    c) 270°
    d) 360°

  2. A triangle with all sides equal is called
    a) Scalene
    b) Isosceles
    c) Equilateral
    d) Right

  3. Area of rectangle with length 12 cm and breadth 5 cm
    a) 60
    b) 50
    c) 70
    d) 65

  4. Perimeter of square with side 8 cm
    a) 24
    b) 32
    c) 40
    d) 48

  5. Diameter of circle with radius 9 cm
    a) 9
    b) 18
    c) 27
    d) 36

Section F: Data Handling

  1. Mean of 5, 10, 15, 20
    a) 10
    b) 12.5
    c) 15
    d) 20

  2. Mode of 2, 3, 3, 4, 5
    a) 2
    b) 3
    c) 4
    d) 5

  3. Median of 1, 4, 7, 9, 11
    a) 4
    b) 7
    c) 9
    d) 11

Section G: Mixed Application (IMO Level Thinking)

  1. A number when multiplied by 5 gives 125. Find the number.

  2. Find the greatest number that divides 45 and 60 exactly.

  3. A rectangle has perimeter 40 cm and length 12 cm. Find breadth.

  4. Find 3/5 of 200.

  5. A shopkeeper gives 10% discount on ₹500. Find selling price.

  6. Find the next number: 1, 4, 9, 16, ___

  7. Find square root of 196.

Practice Questions (51–100)

  1. Find LCM of 4, 6

  2. Find HCF of 18, 30

  3. Simplify 100 − 37

  4. Find 20% of 150

  5. Convert 0.25 to fraction

  6. Find cube of 6

  7. Find average of 2, 6, 10

  8. Find next: 10, 20, 40

  9. Solve 5x = 45

  10. Find perimeter of rectangle 10×3

  11. Find area of square side 7

  12. Convert 1/5 to decimal

  13. Find 75% of 80

  14. Simplify 81 ÷ 9

  15. Find square of 14

  16. Find HCF of 16, 24

  17. Find LCM of 9, 12

  18. Find next: 2, 6, 18

  19. Solve x − 12 = 20

  20. Find 1/4 of 120

  21. Find perimeter of square 9 cm

  22. Find mean of 6, 12, 18

  23. Simplify 45 ÷ 5 × 2

  24. Find cube root of 64

  25. Convert 40% to fraction

  26. Find next: 3, 9, 27

  27. Solve 4x = 32

  28. Find area of rectangle 15×2

  29. Find square root of 225

  30. Find 2/3 of 90

  31. Find LCM of 5, 10

  32. Find HCF of 20, 50

  33. Simplify 72 ÷ 8

  34. Find average of 4, 8, 12

  35. Find next: 5, 15, 45

  36. Solve x + 25 = 60

  37. Find perimeter of rectangle 8×4

  38. Find 50% of 300

  39. Convert 0.8 to fraction

  40. Find square of 11

  41. Find cube of 2

  42. Find HCF of 9, 27

  43. Find LCM of 7, 14

  44. Simplify 36 ÷ 6

  45. Find mean of 3, 6, 9

  46. Solve 3x = 21

  47. Find 10% of 700

  48. Find square root of 121

  49. Find next: 7, 14, 21

  50. Find area of rectangle 20×5


Answer Key:
1.c 2.d 3.b 4.a 5.c 6.d 7.c 8.d 9.d 10.b
11.a 12.a 13.b 14.c 15.a 16.a 17.c 18.b 19.c 20.d
21.b 22.a 23.a 24.a 25.b 26.a 27.c 28.c 29.c 30.b
31.b 32.b 33.c 34.d 35.c
36.b 37.c 38.a 39.b 40.b
41.b 42.b 43.b
44.25 45.15 46.8 47.120 48.450 49.25 50.14
51.12 52.6 53.63 54.30 55.1/4 56.216 57.6 58.80 59.9 60.26
61.49 62.0.2 63.60 64.9 65.196 66.8 67.36 68.54 69.32 70.30
71.36 72.12 73.18 74.4 75.2/5 76.81 77.8 78.30 79.15 80.60
81.10 82.10 83.9 84.8 85.135 86.35 87.24 88.150 89.4/5 90.121
91.8 92.9 93.14 94.6 95.6 96.7 97.70 98.11 99.28 100.100

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