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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 2 · 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 5 cubes have altogether? (a) 30 (b) 40 (c) 8 (d) 60
  2. 2.How many corners do 1 square and 1 pentagon have altogether? (a) 5 (b) 2 (c) 9 (d) 4
  3. 3.How many corners do 3 hexagons and 3 octagons have altogether? (a) 42 (b) 24 (c) 6 (d) 18
  4. 4.How many sides do 4 triangles and 4 pentagons have altogether? (a) 20 (b) 8 (c) 32 (d) 12
  5. 5.How many faces do 5 cubes have altogether? (a) 6 (b) 30 (c) 40 (d) 60
  6. 6.How many sides do 4 pentagons and 3 octagons have altogether? (a) 44 (b) 20 (c) 47 (d) 24
  7. 7.How many sides do 5 triangles and 4 rectangles have altogether? (a) 32 (b) 31 (c) 15 (d) 16
  8. 8.How many sides do 3 octagons and 1 triangle have altogether? (a) 17 (b) 24 (c) 3 (d) 27
  9. 9.How many corners do 5 triangles and 4 squares have altogether? (a) 31 (b) 15 (c) 32 (d) 16
  10. 10.How many sides do 1 pentagon and 1 rectangle have altogether? (a) 9 (b) 4 (c) 5 (d) 2
  11. 11.How many corners do 4 triangles and 2 octagons have altogether? (a) 28 (b) 12 (c) 16 (d) 38
  12. 12.How many corners do 3 rectangles and 5 squares have altogether? (a) 20 (b) 12 (c) 32 (d) 8
  13. 13.How many sides do 4 octagons and 5 squares have altogether? (a) 32 (b) 56 (c) 20 (d) 52
  14. 14.How many edges do 5 cubes have altogether? (a) 60 (b) 30 (c) 12 (d) 40
  15. 15.How many corners do 4 hexagons and 1 square have altogether? (a) 24 (b) 22 (c) 28 (d) 4
  16. 16.How many corners do 1 octagon and 1 triangle have altogether? (a) 2 (b) 11 (c) 3 (d) 8
  17. 17.How many edges do 3 cubes have altogether? (a) 18 (b) 12 (c) 36 (d) 24
  18. 18.How many faces do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 6
  19. 19.How many corners do 2 cubes have altogether? (a) 8 (b) 12 (c) 24 (d) 16
  20. 20.How many corners do 2 pentagons and 4 squares have altogether? (a) 16 (b) 28 (c) 10 (d) 26
  21. 21.How many corners do 3 rectangles and 5 pentagons have altogether? (a) 35 (b) 25 (c) 12 (d) 37
  22. 22.How many corners do 3 triangles and 4 hexagons have altogether? (a) 30 (b) 24 (c) 9 (d) 33
  23. 23.How many sides do 1 triangle and 2 rectangles have altogether? (a) 11 (b) 8 (c) 10 (d) 3
  24. 24.How many corners do 1 pentagon and 3 hexagons have altogether? (a) 18 (b) 21 (c) 23 (d) 5
  25. 25.How many faces do 3 cubes have altogether? (a) 24 (b) 36 (c) 18 (d) 6
  26. 26.How many corners do 3 rectangles and 1 square have altogether? (a) 4 (b) 12 (c) 16 (d) 17
  27. 27.How many corners do 4 triangles and 4 hexagons have altogether? (a) 24 (b) 36 (c) 8 (d) 12
  28. 28.How many corners do 1 triangle and 3 octagons have altogether? (a) 3 (b) 24 (c) 27 (d) 17
  29. 29.How many sides do 1 square and 3 triangles have altogether? (a) 15 (b) 4 (c) 9 (d) 13
  30. 30.How many sides do 4 triangles and 1 hexagon have altogether? (a) 27 (b) 18 (c) 12 (d) 6
  31. 31.How many sides do 4 pentagons and 5 rectangles have altogether? (a) 41 (b) 40 (c) 20 (d) 9
  32. 32.How many corners do 2 rectangles and 3 pentagons have altogether? (a) 22 (b) 8 (c) 15 (d) 23
  33. 33.How many edges do 2 cubes have altogether? (a) 12 (b) 24 (c) 25 (d) 16
  34. 34.How many sides do 3 hexagons and 3 triangles have altogether? (a) 6 (b) 9 (c) 18 (d) 27
  35. 35.How many sides do 4 rectangles and 2 squares have altogether? (a) 8 (b) 24 (c) 6 (d) 16
  36. 36.How many sides do 2 hexagons and 5 squares have altogether? (a) 20 (b) 38 (c) 12 (d) 32
  37. 37.How many faces do 2 cubes have altogether? (a) 12 (b) 16 (c) 24 (d) 6
  38. 38.How many sides do 1 triangle and 5 squares have altogether? (a) 19 (b) 3 (c) 20 (d) 23
  39. 39.How many corners do 5 squares and 4 pentagons have altogether? (a) 20 (b) 9 (c) 41 (d) 40
  40. 40.How many corners do 2 hexagons and 5 squares have altogether? (a) 38 (b) 20 (c) 12 (d) 32

Answer key

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

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