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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 44 · 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 faces do 4 cubes have altogether? (a) 32 (b) 48 (c) 6 (d) 24
  2. 2.How many sides do 5 octagons and 4 triangles have altogether? (a) 40 (b) 52 (c) 47 (d) 12
  3. 3.How many corners do 4 squares and 3 pentagons have altogether? (a) 16 (b) 15 (c) 32 (d) 31
  4. 4.How many sides do 4 pentagons and 5 triangles have altogether? (a) 35 (b) 37 (c) 15 (d) 20
  5. 5.How many corners do 3 pentagons and 3 squares have altogether? (a) 12 (b) 15 (c) 6 (d) 27
  6. 6.How many sides do 1 pentagon and 2 triangles have altogether? (a) 13 (b) 5 (c) 11 (d) 6
  7. 7.How many sides do 4 squares and 3 triangles have altogether? (a) 25 (b) 24 (c) 9 (d) 16
  8. 8.How many corners do 4 hexagons and 4 octagons have altogether? (a) 24 (b) 8 (c) 56 (d) 32
  9. 9.How many edges do 3 cubes have altogether? (a) 24 (b) 36 (c) 12 (d) 18
  10. 10.How many faces do 3 cubes have altogether? (a) 18 (b) 24 (c) 6 (d) 36
  11. 11.How many faces do 2 cubes have altogether? (a) 6 (b) 24 (c) 12 (d) 16
  12. 12.How many corners do 3 pentagons and 1 square have altogether? (a) 4 (b) 17 (c) 19 (d) 15
  13. 13.How many faces do 5 cubes have altogether? (a) 6 (b) 60 (c) 40 (d) 30
  14. 14.How many edges do 4 cubes have altogether? (a) 12 (b) 24 (c) 48 (d) 32
  15. 15.How many sides do 2 squares and 3 triangles have altogether? (a) 18 (b) 17 (c) 9 (d) 8
  16. 16.How many sides do 1 pentagon and 3 octagons have altogether? (a) 5 (b) 24 (c) 29 (d) 23
  17. 17.How many corners do 1 rectangle and 5 squares have altogether? (a) 24 (b) 6 (c) 4 (d) 20
  18. 18.How many edges do 5 cubes have altogether? (a) 40 (b) 12 (c) 30 (d) 60
  19. 19.How many corners do 3 squares and 5 rectangles have altogether? (a) 32 (b) 12 (c) 8 (d) 20
  20. 20.How many corners do 1 rectangle and 2 triangles have altogether? (a) 4 (b) 10 (c) 11 (d) 6
  21. 21.How many sides do 1 rectangle and 5 octagons have altogether? (a) 4 (b) 40 (c) 44 (d) 28
  22. 22.How many corners do 1 rectangle and 3 squares have altogether? (a) 4 (b) 12 (c) 17 (d) 16
  23. 23.How many corners do 2 triangles and 4 hexagons have altogether? (a) 6 (b) 30 (c) 24 (d) 31
  24. 24.How many corners do 5 cubes have altogether? (a) 40 (b) 8 (c) 60 (d) 30
  25. 25.How many corners do 3 rectangles and 1 triangle have altogether? (a) 12 (b) 15 (c) 13 (d) 3
  26. 26.How many corners do 1 square and 4 octagons have altogether? (a) 36 (b) 24 (c) 32 (d) 4
  27. 27.How many corners do 5 rectangles and 3 octagons have altogether? (a) 24 (b) 44 (c) 52 (d) 20
  28. 28.How many sides do 2 hexagons and 4 pentagons have altogether? (a) 34 (b) 12 (c) 20 (d) 32
  29. 29.How many corners do 5 squares and 1 rectangle have altogether? (a) 4 (b) 24 (c) 20 (d) 6
  30. 30.How many sides do 1 square and 2 rectangles have altogether? (a) 8 (b) 12 (c) 3 (d) 4
  31. 31.How many corners do 2 cubes have altogether? (a) 12 (b) 16 (c) 8 (d) 24
  32. 32.How many corners do 2 squares and 5 rectangles have altogether? (a) 8 (b) 7 (c) 28 (d) 20
  33. 33.How many sides do 4 rectangles and 4 squares have altogether? (a) 16 (b) 33 (c) 8 (d) 32
  34. 34.How many sides do 3 squares and 1 triangle have altogether? (a) 13 (b) 3 (c) 15 (d) 12
  35. 35.How many sides do 1 square and 3 triangles have altogether? (a) 15 (b) 9 (c) 13 (d) 4
  36. 36.How many corners do 1 pentagon and 5 octagons have altogether? (a) 33 (b) 5 (c) 45 (d) 40
  37. 37.How many sides do 4 triangles and 4 octagons have altogether? (a) 44 (b) 32 (c) 12 (d) 8
  38. 38.How many sides do 3 hexagons and 3 octagons have altogether? (a) 18 (b) 42 (c) 6 (d) 24
  39. 39.How many sides do 3 octagons and 2 squares have altogether? (a) 24 (b) 28 (c) 32 (d) 8
  40. 40.How many sides do 2 hexagons and 3 squares have altogether? (a) 26 (b) 5 (c) 12 (d) 24

Answer key

  1. 24
  2. 52
  3. 31
  4. 35
  5. 27
  6. 11
  7. 25
  8. 56
  9. 36
  10. 18
  11. 12
  12. 19
  13. 30
  14. 48
  15. 17
  16. 29
  17. 24
  18. 60
  19. 32
  20. 10
  21. 44
  22. 16
  23. 30
  24. 40
  25. 15
  26. 36
  27. 44
  28. 32
  29. 24
  30. 12
  31. 16
  32. 28
  33. 32
  34. 15
  35. 13
  36. 45
  37. 44
  38. 42
  39. 32
  40. 24

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