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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 78 · 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 3 hexagons and 4 triangles have altogether? (a) 33 (b) 18 (c) 12 (d) 30
  2. 2.How many sides do 5 hexagons and 2 pentagons have altogether? (a) 30 (b) 37 (c) 10 (d) 40
  3. 3.How many sides do 2 pentagons and 2 octagons have altogether? (a) 10 (b) 16 (c) 4 (d) 26
  4. 4.How many sides do 3 pentagons and 5 rectangles have altogether? (a) 37 (b) 35 (c) 20 (d) 15
  5. 5.How many sides do 4 rectangles and 2 pentagons have altogether? (a) 16 (b) 28 (c) 10 (d) 26
  6. 6.How many edges do 4 cubes have altogether? (a) 12 (b) 32 (c) 24 (d) 48
  7. 7.How many corners do 4 octagons and 1 square have altogether? (a) 32 (b) 36 (c) 24 (d) 4
  8. 8.How many corners do 5 triangles and 5 hexagons have altogether? (a) 15 (b) 30 (c) 45 (d) 10
  9. 9.How many corners do 4 triangles and 4 pentagons have altogether? (a) 32 (b) 12 (c) 8 (d) 20
  10. 10.How many faces do 5 cubes have altogether? (a) 40 (b) 30 (c) 60 (d) 6
  11. 11.How many edges do 2 cubes have altogether? (a) 16 (b) 25 (c) 24 (d) 12
  12. 12.How many faces do 4 cubes have altogether? (a) 32 (b) 6 (c) 24 (d) 48
  13. 13.How many corners do 5 hexagons and 1 square have altogether? (a) 34 (b) 26 (c) 30 (d) 4
  14. 14.How many corners do 2 hexagons and 2 octagons have altogether? (a) 28 (b) 16 (c) 12 (d) 4
  15. 15.How many corners do 1 octagon and 4 triangles have altogether? (a) 35 (b) 20 (c) 12 (d) 8
  16. 16.How many corners do 4 squares and 5 rectangles have altogether? (a) 20 (b) 9 (c) 36 (d) 16
  17. 17.How many corners do 2 triangles and 1 pentagon have altogether? (a) 13 (b) 5 (c) 11 (d) 6
  18. 18.How many corners do 4 octagons and 2 triangles have altogether? (a) 28 (b) 6 (c) 32 (d) 38
  19. 19.How many sides do 5 rectangles and 5 pentagons have altogether? (a) 20 (b) 10 (c) 25 (d) 45
  20. 20.How many corners do 4 hexagons and 3 squares have altogether? (a) 24 (b) 34 (c) 36 (d) 12
  21. 21.How many corners do 4 hexagons and 4 pentagons have altogether? (a) 44 (b) 24 (c) 8 (d) 20
  22. 22.How many sides do 1 hexagon and 3 triangles have altogether? (a) 9 (b) 6 (c) 21 (d) 15
  23. 23.How many corners do 5 rectangles and 2 octagons have altogether? (a) 20 (b) 48 (c) 16 (d) 36
  24. 24.How many corners do 1 rectangle and 1 pentagon have altogether? (a) 5 (b) 9 (c) 2 (d) 4
  25. 25.How many sides do 2 rectangles and 2 triangles have altogether? (a) 6 (b) 4 (c) 8 (d) 14
  26. 26.How many corners do 2 cubes have altogether? (a) 8 (b) 24 (c) 12 (d) 16
  27. 27.How many corners do 5 hexagons and 3 rectangles have altogether? (a) 38 (b) 30 (c) 42 (d) 12
  28. 28.How many corners do 1 square and 1 hexagon have altogether? (a) 6 (b) 4 (c) 10 (d) 2
  29. 29.How many sides do 4 rectangles and 2 hexagons have altogether? (a) 28 (b) 12 (c) 16 (d) 32
  30. 30.How many corners do 4 rectangles and 4 triangles have altogether? (a) 28 (b) 12 (c) 16 (d) 8
  31. 31.How many corners do 4 cubes have altogether? (a) 8 (b) 48 (c) 24 (d) 32
  32. 32.How many corners do 3 pentagons and 1 hexagon have altogether? (a) 6 (b) 23 (c) 21 (d) 15
  33. 33.How many corners do 4 pentagons and 5 rectangles have altogether? (a) 41 (b) 9 (c) 20 (d) 40
  34. 34.How many sides do 4 octagons and 4 triangles have altogether? (a) 32 (b) 8 (c) 12 (d) 44
  35. 35.How many sides do 5 squares and 1 octagon have altogether? (a) 44 (b) 8 (c) 20 (d) 28
  36. 36.How many edges do 5 cubes have altogether? (a) 40 (b) 12 (c) 60 (d) 30
  37. 37.How many sides do 2 pentagons and 2 hexagons have altogether? (a) 10 (b) 12 (c) 22 (d) 4
  38. 38.How many corners do 5 rectangles and 5 squares have altogether? (a) 20 (b) 40 (c) 41 (d) 10
  39. 39.How many sides do 2 pentagons and 5 hexagons have altogether? (a) 40 (b) 30 (c) 37 (d) 10
  40. 40.How many sides do 5 rectangles and 4 hexagons have altogether? (a) 20 (b) 46 (c) 24 (d) 44

Answer key

  1. 30
  2. 40
  3. 26
  4. 35
  5. 26
  6. 48
  7. 36
  8. 45
  9. 32
  10. 30
  11. 24
  12. 24
  13. 34
  14. 28
  15. 20
  16. 36
  17. 11
  18. 38
  19. 45
  20. 36
  21. 44
  22. 15
  23. 36
  24. 9
  25. 14
  26. 16
  27. 42
  28. 10
  29. 28
  30. 28
  31. 32
  32. 21
  33. 40
  34. 44
  35. 28
  36. 60
  37. 22
  38. 40
  39. 40
  40. 44

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