Week 4 | Maths4U

Week 4

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1. Years 6-7 - A01. Three equal sides

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Three equal sides - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

2. Years 6-7 - A02. Metal digits

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Metal digits - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

3. Years 6-7 - A03. Opposite children

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Opposite children - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

4. Years 6-7 - A04. Two painters

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Two painters - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

5. Years 6-7 - A05. A rectangle from its perimeter

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A rectangle from its perimeter - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

6. Years 6-7 - A06. Find every square

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Find every square - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

7. Years 6-7 - A07. The multiplication logo

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

8. Years 6-7 - A08. Three shaded squares

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Three shaded squares - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

9. Years 6-7 - A09. A hidden perimeter

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A hidden perimeter - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

10. Years 6-7 - A10. A stepped shape

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A stepped shape - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

11. Years 6-7 - A11. Four identical rectangles

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Four identical rectangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

12. Years 6-7 - A12. Three layers of carpet

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Three layers of carpet - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

13. Years 6-7 - A13. Two squares, two rectangles

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Two squares, two rectangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

14. Years 6-7 - A14. Opposite faces

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Opposite faces - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

15. Years 6-7 - A15. Painting a larger cube

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Painting a larger cube - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

16. Years 6-7 - A16. A cuboid made of cubes

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A cuboid made of cubes - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

17. Years 6-7 - A17. Tipping a water container

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Tipping a water container - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

18. Years 6-7 - A18. A hexagon made from triangles

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A hexagon made from triangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

19. Years 6-7 - A19. Village roads

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Village roads - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

20. Years 6-7 - A20. Counters on outlines

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Counters on outlines - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

21. Years 6-7 - A21. Can these lengths form a triangle?

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Can these lengths form a triangle? - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

22. Years 6-7 - A22. A donkey and a piece of pasta

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: A donkey and a piece of pasta - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

23. Years 6-7 - A23. Stations along a race

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Stations along a race - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

24. Years 6-7 - A24. Forty-nine squares

Foundation · Years 6–8Visual Geometry

Years 6-7 | Week 4 | Visual geometry

Years 6-7: Forty-nine squares - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

25. Years 8-9 - B01. A spiral boundary

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A spiral boundary - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

26. Years 8-9 - B02. A square and two triangles

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A square and two triangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

27. Years 8-9 - B03. Two opposite triangles

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Two opposite triangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

28. Years 8-9 - B04. Nested squares

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Nested squares - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

29. Years 8-9 - B05. Midpoints in a right triangle

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Midpoints in a right triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

30. Years 8-9 - B06. Overlapping equilateral triangles

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Overlapping equilateral triangles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

31. Years 8-9 - B07. Square minus rhombus

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Square minus rhombus - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

32. Years 8-9 - B08. A rectangle from its side midpoints

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A rectangle from its side midpoints - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

33. Years 8-9 - B09. A freezing pond

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A freezing pond - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

34. Years 8-9 - B10. An angle bisector with equal lengths

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: An angle bisector with equal lengths - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

35. Years 8-9 - B11. A triangular frame

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A triangular frame - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

36. Years 8-9 - B12. Toothpicks inside a grid

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Toothpicks inside a grid - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

37. Years 8-9 - B13. Four glued dice

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Four glued dice - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

38. Years 8-9 - B14. Interlocking solids

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Interlocking solids - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

39. Years 8-9 - B15. Fold a triangular prism

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Fold a triangular prism - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

40. Years 8-9 - B16. Painted cuboids: every possibility

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Painted cuboids: every possibility - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

41. Years 8-9 - B17. Nine digits on a cuboid

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Nine digits on a cuboid - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

42. Years 8-9 - B18. A growing tree

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A growing tree - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

43. Years 8-9 - B19. Three rectangles with equal perimeters

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Three rectangles with equal perimeters - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

44. Years 8-9 - B20. Equal shaded areas

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Equal shaded areas - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

45. Years 8-9 - B21. Both diagonals of a large grid

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Both diagonals of a large grid - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

46. Years 8-9 - B22. Island area and coastal water

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: Island area and coastal water - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

47. Years 8-9 - B23. An octagon and two extended lines

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: An octagon and two extended lines - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

48. Years 8-9 - B24. A nonagon meets a hexagon

Intermediate · Years 9–10Visual Geometry

Years 8-9 | Week 4 | Visual geometry

Years 8-9: A nonagon meets a hexagon - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

49. Years 10-11 - 1. Radical legs

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Radical legs - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

50. Years 10-11 - 2. A runner’s return

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A runner’s return - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

51. Years 10-11 - 3. A trapezium with a hidden triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A trapezium with a hidden triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

52. Years 10-11 - 4. Four points on one circle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Four points on one circle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

53. Years 10-11 - 5. Touching spheres

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Touching spheres - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

54. Years 10-11 - 6. Three sticks

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Three sticks - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

55. Years 10-11 - 7. Area from two totals

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Area from two totals - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

56. Years 10-11 - 8. Area and perimeter reveal the sides

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Area and perimeter reveal the sides - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

57. Years 10-11 - 9. The third altitude

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: The third altitude - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

58. Years 10-11 - 10. An altitude inside a rectangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: An altitude inside a rectangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

59. Years 10-11 - 11. Three growing squares

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Three growing squares - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

60. Years 10-11 - 12. A fold in a 3–4–5 triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A fold in a 3–4–5 triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

61. Years 10-11 - 13. An inscribed circle in a trapezium

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: An inscribed circle in a trapezium - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

62. Years 10-11 - 14. A common chord

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A common chord - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

63. Years 10-11 - 15. Distances to a rectangle’s corners

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Distances to a rectangle’s corners - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

64. Years 10-11 - 16. A circle outside a right triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A circle outside a right triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

65. Years 10-11 - 17. Two circles inside a larger circle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Two circles inside a larger circle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

66. Years 10-11 - 18. A circle inside a semicircle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A circle inside a semicircle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

67. Years 10-11 - 19. Prove a right angle; then chase angles

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Prove a right angle; then chase angles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

68. Years 10-11 - 20. Two semicircles and a right triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Two semicircles and a right triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

69. Years 10-11 - 21. Four lunes around a rectangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Four lunes around a rectangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

70. Years 10-11 - 22. An integer rectangle in a right triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: An integer rectangle in a right triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

71. Years 10-11 - 23. A hidden right angle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A hidden right angle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

72. Years 10-11 - 24. Six squares: a Pythagorean identity

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Six squares: a Pythagorean identity - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

73. Years 10-11 - 25. A pentagon made from a square and a roof

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A pentagon made from a square and a roof - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

74. Years 10-11 - 26. Two right triangles share two lengths

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

75. Years 10-11 - 27. How many integer-length segments?

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: How many integer-length segments? - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

76. Years 10-11 - 28. Four tangent semicircles

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Four tangent semicircles - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

77. Years 10-11 - 29. Two squares inside a triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: Two squares inside a triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

78. Years 10-11 - 30. A tangent creates a small triangle

Intermediate · Years 9–10Right Triangles

Years 10-11 | Week 4 | Right triangles

Years 10-11: A tangent creates a small triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

79. Years 11-13 - W1. A useful right triangle

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A useful right triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

80. Years 11-13 - UK1. Area and perimeter reveal the sides

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Area and perimeter reveal the sides - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

81. Years 11-13 - 7.2.1. Three sticks

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Three sticks - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

82. Years 11-13 - UK2. A circle outside the triangle

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A circle outside the triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

83. Years 11-13 - 7.2.9. The Pythagorean garden

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: The Pythagorean garden - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

84. Years 11-13 - W2. A diameter and a perpendicular

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A diameter and a perpendicular - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

85. Years 11-13 - UK3. A rectangle with integer dimensions

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A rectangle with integer dimensions - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

86. Years 11-13 - 7.2.2. A tangent creates a small triangle

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A tangent creates a small triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

87. Years 11-13 - 7.2.3. Parallel chords and a hidden midpoint

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Parallel chords and a hidden midpoint - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

88. Years 11-13 - US1. An unexpected area

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: An unexpected area - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

89. Years 11-13 - 7.2.10. A repeated construction

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A repeated construction - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

90. Years 11-13 - W3. The converse of a circle theorem

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: The converse of a circle theorem - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

91. Years 11-13 - 7.2.8. Four intersections, one circle

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Four intersections, one circle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

92. Years 11-13 - CN1. Maximise a product of three distances

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Maximise a product of three distances - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

93. Years 11-13 - KR1. Pythagorean areas without large gaps

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Pythagorean areas without large gaps - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

94. Years 11-13 - US2. Can every marked length be an integer?

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Can every marked length be an integer? - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

95. Years 11-13 - CN2. Cover an obtuse triangle

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Cover an obtuse triangle - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

96. Years 11-13 - 7.2.7. Two incentres and a fixed area

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: Two incentres and a fixed area - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

97. Years 11-13 - 7.2.6. A tangent angle bisector

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A tangent angle bisector - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

98. Years 11-13 - 7.2.4. One condition, more than one configuration

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: One condition, more than one configuration - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.

99. Years 11-13 - KR2. A diameter, an arc midpoint and an incentre

Advanced · Years 11–13Right Triangles

Years 11-13 | Week 4 | Right triangles

Years 11-13: A diameter, an arc midpoint and an incentre - question, part 1

Prepared for the Maths4U Olympiad Club. English worksheet and source references.