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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 6 · 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 pentagons and 3 hexagons have altogether? (a) 18 (b) 33 (c) 6 (d) 15
  2. 2.How many sides do 4 pentagons and 1 rectangle have altogether? (a) 21 (b) 4 (c) 24 (d) 20
  3. 3.How many sides do 1 triangle and 2 rectangles have altogether? (a) 8 (b) 11 (c) 10 (d) 3
  4. 4.How many sides do 3 hexagons and 4 triangles have altogether? (a) 33 (b) 12 (c) 30 (d) 18
  5. 5.How many corners do 1 pentagon and 4 triangles have altogether? (a) 5 (b) 23 (c) 12 (d) 17
  6. 6.How many corners do 5 cubes have altogether? (a) 30 (b) 8 (c) 40 (d) 60
  7. 7.How many sides do 2 rectangles and 1 square have altogether? (a) 4 (b) 3 (c) 8 (d) 12
  8. 8.How many faces do 2 cubes have altogether? (a) 24 (b) 6 (c) 12 (d) 16
  9. 9.How many corners do 2 triangles and 5 squares have altogether? (a) 23 (b) 26 (c) 20 (d) 6
  10. 10.How many sides do 5 squares and 1 triangle have altogether? (a) 19 (b) 3 (c) 20 (d) 23
  11. 11.How many edges do 5 cubes have altogether? (a) 12 (b) 60 (c) 40 (d) 30
  12. 12.How many sides do 1 rectangle and 1 square have altogether? (a) 9 (b) 8 (c) 2 (d) 4
  13. 13.How many corners do 4 cubes have altogether? (a) 24 (b) 32 (c) 48 (d) 8
  14. 14.How many edges do 2 cubes have altogether? (a) 24 (b) 12 (c) 25 (d) 16
  15. 15.How many corners do 5 pentagons and 1 square have altogether? (a) 29 (b) 25 (c) 6 (d) 4
  16. 16.How many corners do 1 octagon and 1 pentagon have altogether? (a) 5 (b) 8 (c) 2 (d) 13
  17. 17.How many sides do 1 pentagon and 5 octagons have altogether? (a) 45 (b) 5 (c) 40 (d) 33
  18. 18.How many corners do 3 rectangles and 1 octagon have altogether? (a) 28 (b) 20 (c) 8 (d) 12
  19. 19.How many sides do 4 rectangles and 1 triangle have altogether? (a) 16 (b) 19 (c) 5 (d) 3
  20. 20.How many corners do 5 triangles and 5 hexagons have altogether? (a) 15 (b) 10 (c) 45 (d) 30
  21. 21.How many edges do 3 cubes have altogether? (a) 24 (b) 36 (c) 12 (d) 18
  22. 22.How many corners do 4 squares and 3 triangles have altogether? (a) 24 (b) 25 (c) 9 (d) 16
  23. 23.How many corners do 1 square and 5 pentagons have altogether? (a) 25 (b) 4 (c) 6 (d) 29
  24. 24.How many sides do 2 octagons and 2 pentagons have altogether? (a) 26 (b) 4 (c) 10 (d) 16
  25. 25.How many faces do 5 cubes have altogether? (a) 30 (b) 60 (c) 40 (d) 6
  26. 26.How many corners do 1 square and 4 rectangles have altogether? (a) 16 (b) 20 (c) 5 (d) 4
  27. 27.How many sides do 5 triangles and 5 squares have altogether? (a) 20 (b) 35 (c) 10 (d) 15
  28. 28.How many sides do 1 rectangle and 4 hexagons have altogether? (a) 22 (b) 4 (c) 24 (d) 28
  29. 29.How many sides do 2 triangles and 3 pentagons have altogether? (a) 15 (b) 6 (c) 21 (d) 19
  30. 30.How many corners do 1 pentagon and 2 triangles have altogether? (a) 13 (b) 6 (c) 11 (d) 5
  31. 31.How many corners do 5 triangles and 2 rectangles have altogether? (a) 23 (b) 26 (c) 15 (d) 8
  32. 32.How many sides do 3 pentagons and 1 octagon have altogether? (a) 15 (b) 29 (c) 23 (d) 8
  33. 33.How many sides do 4 hexagons and 5 squares have altogether? (a) 20 (b) 44 (c) 46 (d) 24
  34. 34.How many corners do 1 octagon and 5 triangles have altogether? (a) 8 (b) 15 (c) 23 (d) 43
  35. 35.How many sides do 4 hexagons and 5 triangles have altogether? (a) 39 (b) 24 (c) 15 (d) 42
  36. 36.How many corners do 3 squares and 2 triangles have altogether? (a) 17 (b) 12 (c) 6 (d) 18
  37. 37.How many corners do 4 rectangles and 5 pentagons have altogether? (a) 25 (b) 41 (c) 16 (d) 40
  38. 38.How many sides do 4 hexagons and 4 rectangles have altogether? (a) 16 (b) 24 (c) 8 (d) 40
  39. 39.How many corners do 1 square and 3 hexagons have altogether? (a) 4 (b) 18 (c) 22 (d) 23
  40. 40.How many corners do 3 triangles and 3 hexagons have altogether? (a) 27 (b) 18 (c) 6 (d) 9

Answer key

  1. 33
  2. 24
  3. 11
  4. 30
  5. 17
  6. 40
  7. 12
  8. 12
  9. 26
  10. 23
  11. 60
  12. 8
  13. 32
  14. 24
  15. 29
  16. 13
  17. 45
  18. 20
  19. 19
  20. 45
  21. 36
  22. 25
  23. 29
  24. 26
  25. 30
  26. 20
  27. 35
  28. 28
  29. 21
  30. 11
  31. 23
  32. 23
  33. 44
  34. 23
  35. 39
  36. 18
  37. 41
  38. 40
  39. 22
  40. 27

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