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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 109 · 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 sides do 4 triangles and 5 rectangles have altogether? (a) 20 (b) 32 (c) 31 (d) 12
  2. 2.How many sides do 5 squares and 5 triangles have altogether? (a) 35 (b) 15 (c) 10 (d) 20
  3. 3.How many sides do 1 triangle and 4 hexagons have altogether? (a) 24 (b) 18 (c) 3 (d) 27
  4. 4.How many sides do 5 triangles and 1 pentagon have altogether? (a) 15 (b) 20 (c) 5 (d) 28
  5. 5.How many sides do 1 square and 5 rectangles have altogether? (a) 6 (b) 24 (c) 4 (d) 20
  6. 6.How many edges do 5 cubes have altogether? (a) 30 (b) 40 (c) 60 (d) 12
  7. 7.How many corners do 3 rectangles and 3 hexagons have altogether? (a) 12 (b) 6 (c) 18 (d) 30
  8. 8.How many sides do 4 squares and 1 triangle have altogether? (a) 5 (b) 3 (c) 19 (d) 16
  9. 9.How many corners do 2 rectangles and 3 triangles have altogether? (a) 17 (b) 8 (c) 9 (d) 18
  10. 10.How many sides do 1 square and 1 octagon have altogether? (a) 12 (b) 8 (c) 4 (d) 2
  11. 11.How many corners do 2 cubes have altogether? (a) 24 (b) 8 (c) 12 (d) 16
  12. 12.How many sides do 1 rectangle and 3 hexagons have altogether? (a) 22 (b) 23 (c) 18 (d) 4
  13. 13.How many corners do 5 pentagons and 1 rectangle have altogether? (a) 4 (b) 25 (c) 6 (d) 29
  14. 14.How many faces do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 6
  15. 15.How many sides do 4 octagons and 5 hexagons have altogether? (a) 64 (b) 32 (c) 30 (d) 62
  16. 16.How many corners do 5 pentagons and 4 octagons have altogether? (a) 25 (b) 60 (c) 32 (d) 57
  17. 17.How many corners do 3 octagons and 2 triangles have altogether? (a) 25 (b) 30 (c) 24 (d) 6
  18. 18.How many corners do 2 triangles and 2 pentagons have altogether? (a) 16 (b) 4 (c) 6 (d) 10
  19. 19.How many edges do 4 cubes have altogether? (a) 48 (b) 24 (c) 32 (d) 12
  20. 20.How many corners do 5 cubes have altogether? (a) 30 (b) 8 (c) 60 (d) 40
  21. 21.How many sides do 3 rectangles and 3 octagons have altogether? (a) 12 (b) 6 (c) 36 (d) 24
  22. 22.How many corners do 4 octagons and 1 rectangle have altogether? (a) 32 (b) 4 (c) 24 (d) 36
  23. 23.How many corners do 3 hexagons and 1 octagon have altogether? (a) 26 (b) 8 (c) 18 (d) 30
  24. 24.How many sides do 2 rectangles and 3 squares have altogether? (a) 5 (b) 8 (c) 20 (d) 12
  25. 25.How many edges do 3 cubes have altogether? (a) 36 (b) 18 (c) 12 (d) 24
  26. 26.How many faces do 3 cubes have altogether? (a) 18 (b) 36 (c) 6 (d) 24
  27. 27.How many corners do 1 triangle and 1 pentagon have altogether? (a) 8 (b) 3 (c) 5 (d) 2
  28. 28.How many corners do 3 pentagons and 1 rectangle have altogether? (a) 15 (b) 4 (c) 19 (d) 17
  29. 29.How many faces do 2 cubes have altogether? (a) 24 (b) 12 (c) 6 (d) 16
  30. 30.How many faces do 5 cubes have altogether? (a) 40 (b) 60 (c) 6 (d) 30
  31. 31.How many corners do 1 triangle and 5 octagons have altogether? (a) 23 (b) 3 (c) 40 (d) 43
  32. 32.How many sides do 5 octagons and 1 hexagon have altogether? (a) 46 (b) 6 (c) 38 (d) 40
  33. 33.How many sides do 2 triangles and 1 rectangle have altogether? (a) 4 (b) 11 (c) 6 (d) 10
  34. 34.How many sides do 4 triangles and 2 squares have altogether? (a) 12 (b) 20 (c) 8 (d) 22
  35. 35.How many sides do 3 hexagons and 5 octagons have altogether? (a) 54 (b) 40 (c) 18 (d) 58
  36. 36.How many sides do 2 pentagons and 5 octagons have altogether? (a) 40 (b) 50 (c) 41 (d) 10
  37. 37.How many corners do 4 hexagons and 4 triangles have altogether? (a) 8 (b) 36 (c) 24 (d) 12
  38. 38.How many sides do 4 hexagons and 3 squares have altogether? (a) 34 (b) 36 (c) 24 (d) 12
  39. 39.How many corners do 2 squares and 4 triangles have altogether? (a) 8 (b) 12 (c) 22 (d) 20
  40. 40.How many sides do 3 triangles and 2 rectangles have altogether? (a) 8 (b) 17 (c) 18 (d) 9

Answer key

  1. 32
  2. 35
  3. 27
  4. 20
  5. 24
  6. 60
  7. 30
  8. 19
  9. 17
  10. 12
  11. 16
  12. 22
  13. 29
  14. 24
  15. 62
  16. 57
  17. 30
  18. 16
  19. 48
  20. 40
  21. 36
  22. 36
  23. 26
  24. 20
  25. 36
  26. 18
  27. 8
  28. 19
  29. 12
  30. 30
  31. 43
  32. 46
  33. 10
  34. 20
  35. 58
  36. 50
  37. 36
  38. 36
  39. 20
  40. 17

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