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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 106 · 40 questions
TalentJR

How to solve it (Know the shape numbers): Sides: triangle 3, square and rectangle 4, pentagon 5, hexagon 6, octagon 8. A flat shape has as many corners as sides. Several of one shape: multiply (3 triangles → 3 × 3 = 9 sides). Two kinds of shape: work each out, then add. A cube has 6 faces, 12 edges and 8 corners.

NameDateTime takenScore ___ / 40
  1. 1.How many corners do 1 triangle and 2 pentagons have altogether? (a) 13 (b) 10 (c) 11 (d) 3
  2. 2.How many corners do 3 rectangles and 5 squares have altogether? (a) 12 (b) 20 (c) 32 (d) 8
  3. 3.How many sides do 1 pentagon and 1 square have altogether? (a) 2 (b) 9 (c) 4 (d) 5
  4. 4.How many sides do 4 pentagons and 5 triangles have altogether? (a) 35 (b) 15 (c) 20 (d) 37
  5. 5.How many faces do 3 cubes have altogether? (a) 24 (b) 18 (c) 6 (d) 36
  6. 6.How many sides do 5 triangles and 4 pentagons have altogether? (a) 20 (b) 37 (c) 15 (d) 35
  7. 7.How many corners do 2 cubes have altogether? (a) 16 (b) 8 (c) 12 (d) 24
  8. 8.How many sides do 4 rectangles and 2 squares have altogether? (a) 24 (b) 16 (c) 8 (d) 6
  9. 9.How many corners do 4 rectangles and 1 pentagon have altogether? (a) 24 (b) 16 (c) 5 (d) 21
  10. 10.How many sides do 1 octagon and 4 rectangles have altogether? (a) 36 (b) 24 (c) 16 (d) 8
  11. 11.How many corners do 5 cubes have altogether? (a) 8 (b) 60 (c) 40 (d) 30
  12. 12.How many sides do 4 squares and 4 triangles have altogether? (a) 16 (b) 12 (c) 8 (d) 28
  13. 13.How many sides do 1 square and 1 hexagon have altogether? (a) 4 (b) 2 (c) 6 (d) 10
  14. 14.How many sides do 3 triangles and 4 octagons have altogether? (a) 36 (b) 9 (c) 32 (d) 41
  15. 15.How many faces do 4 cubes have altogether? (a) 24 (b) 48 (c) 32 (d) 6
  16. 16.How many sides do 5 octagons and 4 pentagons have altogether? (a) 40 (b) 57 (c) 20 (d) 60
  17. 17.How many edges do 5 cubes have altogether? (a) 12 (b) 30 (c) 60 (d) 40
  18. 18.How many corners do 2 pentagons and 4 hexagons have altogether? (a) 24 (b) 32 (c) 34 (d) 10
  19. 19.How many faces do 2 cubes have altogether? (a) 24 (b) 6 (c) 16 (d) 12
  20. 20.How many sides do 4 pentagons and 1 square have altogether? (a) 24 (b) 4 (c) 21 (d) 20
  21. 21.How many corners do 3 rectangles and 4 hexagons have altogether? (a) 36 (b) 12 (c) 34 (d) 24
  22. 22.How many corners do 5 squares and 1 pentagon have altogether? (a) 5 (b) 20 (c) 25 (d) 29
  23. 23.How many sides do 5 triangles and 1 pentagon have altogether? (a) 15 (b) 5 (c) 20 (d) 28
  24. 24.How many corners do 2 pentagons and 2 triangles have altogether? (a) 6 (b) 16 (c) 10 (d) 4
  25. 25.How many faces do 5 cubes have altogether? (a) 6 (b) 60 (c) 30 (d) 40
  26. 26.How many corners do 2 squares and 4 rectangles have altogether? (a) 24 (b) 16 (c) 8 (d) 6
  27. 27.How many edges do 2 cubes have altogether? (a) 16 (b) 25 (c) 24 (d) 12
  28. 28.How many corners do 1 hexagon and 2 octagons have altogether? (a) 20 (b) 22 (c) 16 (d) 6
  29. 29.How many edges do 4 cubes have altogether? (a) 12 (b) 32 (c) 24 (d) 48
  30. 30.How many corners do 3 squares and 2 octagons have altogether? (a) 16 (b) 32 (c) 28 (d) 12
  31. 31.How many corners do 3 cubes have altogether? (a) 36 (b) 8 (c) 24 (d) 18
  32. 32.How many corners do 5 octagons and 1 rectangle have altogether? (a) 44 (b) 40 (c) 4 (d) 28
  33. 33.How many sides do 3 hexagons and 2 triangles have altogether? (a) 18 (b) 6 (c) 21 (d) 24
  34. 34.How many corners do 3 pentagons and 4 hexagons have altogether? (a) 39 (b) 15 (c) 38 (d) 24
  35. 35.How many corners do 3 rectangles and 2 pentagons have altogether? (a) 23 (b) 22 (c) 10 (d) 12
  36. 36.How many sides do 3 octagons and 5 hexagons have altogether? (a) 30 (b) 24 (c) 54 (d) 58
  37. 37.How many corners do 4 hexagons and 4 pentagons have altogether? (a) 20 (b) 44 (c) 8 (d) 24
  38. 38.How many sides do 2 squares and 2 octagons have altogether? (a) 4 (b) 16 (c) 8 (d) 24
  39. 39.How many corners do 4 octagons and 1 pentagon have altogether? (a) 32 (b) 37 (c) 28 (d) 5
  40. 40.How many sides do 3 triangles and 2 hexagons have altogether? (a) 24 (b) 9 (c) 21 (d) 12

Answer key

  1. 13
  2. 32
  3. 9
  4. 35
  5. 18
  6. 35
  7. 16
  8. 24
  9. 21
  10. 24
  11. 40
  12. 28
  13. 10
  14. 41
  15. 24
  16. 60
  17. 60
  18. 34
  19. 12
  20. 24
  21. 36
  22. 25
  23. 20
  24. 16
  25. 30
  26. 24
  27. 24
  28. 22
  29. 48
  30. 28
  31. 24
  32. 44
  33. 24
  34. 39
  35. 22
  36. 54
  37. 44
  38. 24
  39. 37
  40. 21

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