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Shapes Worksheet for Maths Olympiad Class 4

Maths Olympiad topic 6: Sides, corners and cubes · Set 235 · 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 3 triangles and 4 pentagons have altogether? (a) 20 (b) 27 (c) 9 (d) 29
  2. 2.How many corners do 4 octagons and 5 hexagons have altogether? (a) 30 (b) 62 (c) 64 (d) 32
  3. 3.How many edges do 3 cubes have altogether? (a) 24 (b) 18 (c) 12 (d) 36
  4. 4.How many corners do 3 cubes have altogether? (a) 36 (b) 8 (c) 18 (d) 24
  5. 5.How many corners do 5 pentagons and 2 octagons have altogether? (a) 50 (b) 41 (c) 16 (d) 25
  6. 6.How many faces do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 6
  7. 7.How many sides do 2 rectangles and 5 hexagons have altogether? (a) 32 (b) 30 (c) 38 (d) 8
  8. 8.How many sides do 4 pentagons and 3 squares have altogether? (a) 20 (b) 31 (c) 32 (d) 12
  9. 9.How many corners do 4 squares and 2 octagons have altogether? (a) 6 (b) 40 (c) 16 (d) 32
  10. 10.How many sides do 2 triangles and 3 octagons have altogether? (a) 30 (b) 6 (c) 25 (d) 24
  11. 11.How many sides do 2 hexagons and 1 octagon have altogether? (a) 12 (b) 8 (c) 22 (d) 20
  12. 12.How many corners do 2 hexagons and 2 triangles have altogether? (a) 6 (b) 12 (c) 18 (d) 4
  13. 13.How many corners do 4 squares and 5 pentagons have altogether? (a) 25 (b) 41 (c) 40 (d) 16
  14. 14.How many corners do 4 rectangles and 1 pentagon have altogether? (a) 16 (b) 24 (c) 21 (d) 5
  15. 15.How many corners do 3 squares and 1 triangle have altogether? (a) 12 (b) 13 (c) 3 (d) 15
  16. 16.How many sides do 3 squares and 1 triangle have altogether? (a) 13 (b) 3 (c) 15 (d) 12
  17. 17.How many corners do 5 triangles and 1 hexagon have altogether? (a) 21 (b) 6 (c) 15 (d) 33
  18. 18.How many sides do 5 triangles and 5 squares have altogether? (a) 20 (b) 35 (c) 10 (d) 15
  19. 19.How many corners do 1 pentagon and 2 triangles have altogether? (a) 13 (b) 5 (c) 6 (d) 11
  20. 20.How many corners do 2 cubes have altogether? (a) 16 (b) 12 (c) 24 (d) 8
  21. 21.How many corners do 5 cubes have altogether? (a) 60 (b) 40 (c) 30 (d) 8
  22. 22.How many sides do 1 hexagon and 1 pentagon have altogether? (a) 5 (b) 6 (c) 11 (d) 2
  23. 23.How many corners do 2 rectangles and 1 triangle have altogether? (a) 10 (b) 8 (c) 3 (d) 11
  24. 24.How many corners do 1 triangle and 2 octagons have altogether? (a) 16 (b) 14 (c) 3 (d) 19
  25. 25.How many corners do 5 octagons and 1 square have altogether? (a) 44 (b) 4 (c) 40 (d) 28
  26. 26.How many sides do 4 rectangles and 5 squares have altogether? (a) 20 (b) 9 (c) 16 (d) 36
  27. 27.How many sides do 1 hexagon and 5 squares have altogether? (a) 34 (b) 26 (c) 6 (d) 20
  28. 28.How many corners do 3 triangles and 5 squares have altogether? (a) 9 (b) 27 (c) 20 (d) 29
  29. 29.How many sides do 1 rectangle and 5 squares have altogether? (a) 24 (b) 20 (c) 6 (d) 4
  30. 30.How many corners do 2 hexagons and 4 pentagons have altogether? (a) 20 (b) 34 (c) 32 (d) 12
  31. 31.How many sides do 2 rectangles and 3 squares have altogether? (a) 5 (b) 20 (c) 8 (d) 12
  32. 32.How many sides do 5 squares and 5 triangles have altogether? (a) 20 (b) 10 (c) 35 (d) 15
  33. 33.How many edges do 2 cubes have altogether? (a) 12 (b) 25 (c) 24 (d) 16
  34. 34.How many corners do 3 triangles and 4 octagons have altogether? (a) 41 (b) 32 (c) 36 (d) 9
  35. 35.How many faces do 5 cubes have altogether? (a) 30 (b) 60 (c) 40 (d) 6
  36. 36.How many sides do 5 rectangles and 1 triangle have altogether? (a) 3 (b) 23 (c) 20 (d) 19
  37. 37.How many sides do 4 rectangles and 4 hexagons have altogether? (a) 16 (b) 40 (c) 8 (d) 24
  38. 38.How many edges do 4 cubes have altogether? (a) 24 (b) 48 (c) 12 (d) 32
  39. 39.How many faces do 3 cubes have altogether? (a) 6 (b) 24 (c) 18 (d) 36
  40. 40.How many corners do 4 cubes have altogether? (a) 32 (b) 48 (c) 8 (d) 24

Answer key

  1. 29
  2. 62
  3. 36
  4. 24
  5. 41
  6. 24
  7. 38
  8. 32
  9. 32
  10. 30
  11. 20
  12. 18
  13. 41
  14. 21
  15. 15
  16. 15
  17. 21
  18. 35
  19. 11
  20. 16
  21. 40
  22. 11
  23. 11
  24. 19
  25. 44
  26. 36
  27. 26
  28. 29
  29. 24
  30. 32
  31. 20
  32. 35
  33. 24
  34. 41
  35. 30
  36. 23
  37. 40
  38. 48
  39. 18
  40. 32

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