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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 124 · 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.

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  1. 1.How many corners do 5 octagons and 5 pentagons have altogether? (a) 25 (b) 40 (c) 10 (d) 65
  2. 2.How many sides do 1 square and 4 rectangles have altogether? (a) 4 (b) 20 (c) 5 (d) 16
  3. 3.How many corners do 4 pentagons and 3 rectangles have altogether? (a) 20 (b) 31 (c) 32 (d) 12
  4. 4.How many corners do 2 cubes have altogether? (a) 8 (b) 16 (c) 24 (d) 12
  5. 5.How many sides do 3 hexagons and 3 pentagons have altogether? (a) 6 (b) 15 (c) 18 (d) 33
  6. 6.How many sides do 3 pentagons and 3 squares have altogether? (a) 6 (b) 27 (c) 12 (d) 15
  7. 7.How many sides do 1 hexagon and 3 squares have altogether? (a) 22 (b) 6 (c) 12 (d) 18
  8. 8.How many edges do 2 cubes have altogether? (a) 24 (b) 12 (c) 16 (d) 25
  9. 9.How many sides do 5 pentagons and 4 rectangles have altogether? (a) 25 (b) 40 (c) 16 (d) 41
  10. 10.How many corners do 3 octagons and 4 triangles have altogether? (a) 36 (b) 24 (c) 12 (d) 41
  11. 11.How many faces do 5 cubes have altogether? (a) 6 (b) 60 (c) 40 (d) 30
  12. 12.How many faces do 4 cubes have altogether? (a) 6 (b) 48 (c) 24 (d) 32
  13. 13.How many edges do 5 cubes have altogether? (a) 30 (b) 40 (c) 60 (d) 12
  14. 14.How many sides do 1 square and 4 triangles have altogether? (a) 16 (b) 19 (c) 12 (d) 4
  15. 15.How many corners do 1 rectangle and 2 pentagons have altogether? (a) 10 (b) 14 (c) 13 (d) 4
  16. 16.How many corners do 2 hexagons and 4 squares have altogether? (a) 32 (b) 28 (c) 16 (d) 12
  17. 17.How many sides do 4 hexagons and 4 triangles have altogether? (a) 36 (b) 8 (c) 24 (d) 12
  18. 18.How many sides do 2 pentagons and 1 triangle have altogether? (a) 10 (b) 13 (c) 11 (d) 3
  19. 19.How many edges do 3 cubes have altogether? (a) 36 (b) 18 (c) 12 (d) 24
  20. 20.How many corners do 1 pentagon and 2 rectangles have altogether? (a) 5 (b) 14 (c) 8 (d) 13
  21. 21.How many corners do 1 triangle and 4 hexagons have altogether? (a) 18 (b) 3 (c) 24 (d) 27
  22. 22.How many corners do 4 squares and 5 rectangles have altogether? (a) 20 (b) 36 (c) 9 (d) 16
  23. 23.How many corners do 4 pentagons and 4 squares have altogether? (a) 36 (b) 20 (c) 16 (d) 8
  24. 24.How many corners do 4 hexagons and 4 octagons have altogether? (a) 32 (b) 8 (c) 24 (d) 56
  25. 25.How many sides do 5 pentagons and 4 triangles have altogether? (a) 37 (b) 25 (c) 12 (d) 35
  26. 26.How many sides do 2 squares and 5 octagons have altogether? (a) 48 (b) 36 (c) 8 (d) 40
  27. 27.How many faces do 3 cubes have altogether? (a) 36 (b) 6 (c) 18 (d) 24
  28. 28.How many sides do 1 rectangle and 1 hexagon have altogether? (a) 4 (b) 2 (c) 6 (d) 10
  29. 29.How many corners do 5 pentagons and 1 octagon have altogether? (a) 8 (b) 25 (c) 45 (d) 33
  30. 30.How many sides do 2 octagons and 5 pentagons have altogether? (a) 25 (b) 50 (c) 41 (d) 16
  31. 31.How many sides do 4 rectangles and 4 squares have altogether? (a) 16 (b) 32 (c) 33 (d) 8
  32. 32.How many corners do 4 cubes have altogether? (a) 32 (b) 48 (c) 8 (d) 24
  33. 33.How many edges do 4 cubes have altogether? (a) 12 (b) 32 (c) 48 (d) 24
  34. 34.How many sides do 2 squares and 1 rectangle have altogether? (a) 3 (b) 12 (c) 8 (d) 4
  35. 35.How many corners do 2 squares and 2 octagons have altogether? (a) 8 (b) 4 (c) 24 (d) 16
  36. 36.How many sides do 2 octagons and 3 triangles have altogether? (a) 30 (b) 25 (c) 16 (d) 9
  37. 37.How many faces do 2 cubes have altogether? (a) 16 (b) 24 (c) 12 (d) 6
  38. 38.How many sides do 1 square and 4 hexagons have altogether? (a) 24 (b) 28 (c) 22 (d) 4
  39. 39.How many sides do 3 squares and 4 hexagons have altogether? (a) 34 (b) 12 (c) 24 (d) 36
  40. 40.How many sides do 2 octagons and 1 rectangle have altogether? (a) 3 (b) 16 (c) 20 (d) 4

Answer key

  1. 65
  2. 20
  3. 32
  4. 16
  5. 33
  6. 27
  7. 18
  8. 24
  9. 41
  10. 36
  11. 30
  12. 24
  13. 60
  14. 16
  15. 14
  16. 28
  17. 36
  18. 13
  19. 36
  20. 13
  21. 27
  22. 36
  23. 36
  24. 56
  25. 37
  26. 48
  27. 18
  28. 10
  29. 33
  30. 41
  31. 32
  32. 32
  33. 48
  34. 12
  35. 24
  36. 25
  37. 12
  38. 28
  39. 36
  40. 20

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