1. Your mission is to rescue the beautiful princess from the evil lord. To rescue her you must complete 5 challenges. To complete a challenge you must answer 2 questions correctly. If you get an answer wrong, you must try another question. But be careful, if you get too many wrong answers you will lose the princess forever!! To begin your mission press the button To start press the button

2. The princess is being held captive in a castle surrounded by a thick forest. Your first challenge is to find your way through the forest. To enter the forest press the button.

3. Question A 1 a Calculate the circumference of a circle with a diameter of 5.2 cm 5.2 cm 16.3 cm 21.2 cm8.2 cm84.9 cm

4. Correct answer You can see some light through the trees ahead Press the button

5. Wrong answer You’re lost in the forest Press the button

6. Question A 1 b Calculate the circumference of a circle with a diameter of 15 m 706.9 m 176.7 m47.1 m23.6 m 15 m

7. Correct answer You can see some light through the trees ahead Press the button

8. Wrong answer You’re still lost in the forest Press the button

9. Question A 1 c Using the formula C = πd calculate the circumference of a circle with a diameter of 7.8 mm 12.3 mm 24.5 mm191.1 mm47.8 mm 7.8 mm

10. Correct answer You can see some light through the trees ahead at last Press the button

11. Wrong answer You’re lost deep in the forest Press the button

12. Question A 1 d Example: Calculate the circumference of a circle with a diameter of 3.8 cm C= πd = π × 3.8 = 11.9 cm Using the same method, calculate the circumference of a circle with a diameter of 18.2 cm 1040.6 cm 260.2 cm 28.6 cm57.2 cm

13. Correct answer You can see some light through the trees ahead eventually Press the button

14. Wrong answer You can’t find your way through the forest Press the button

15. The evil lord has escaped with the princess, you have lost her forever!! Press the button

16. Question A 2 a Calculate the circumference of a circle with a radius of 8.1 m 50.9 m 25.4 m206.1 m824.5 m 8.1 m

17. Correct answer You found your way through the forest Press the button

18. Wrong answer You’ve lost your way again Press the button

19. Question A 2 b Calculate the circumference of a circle with a radius of 21 cm 66.0 cm 1385.4 cm131.9 cm346.4 cm 21 cm

20. Correct answer You made it through the forest Press the button

21. Wrong answer You’re way out seems to have disappeared Press the button

22. Question A 2 c Using the formula C = 2πr calculate the circumference of a circle with a radius of 6.4 mm 128.7 mm 514.7 mm20.1 mm40.2 mm 6.4 mm

23. Correct answer You finally made it through the forest Press the button

24. Wrong answer You’re totally lost again Press the button

25. Question A 2 d Example: Calculate the circumference of a circle with a radius of 4.2 cm C= 2πr = 2 × π × 4.2 = 26.4 cm Using the same method, calculate the circumference of a circle with a radius of 12.5 m 39.3 m 78.5 m490.9 m122.7 m

26. Correct answer You made it through the forest eventually Press the button

27. Wrong answer You can’t find your way through the forest Press the button

28. The evil lord has escaped with the princess, you have lost her forever!! Press the button

29. The castle is built high on a rock protected by a massive wall. Your next challenge is to climb the castle wall. To try to find a way over the wall press the button.

30. Question B 1 a Calculate the area of a circle with a radius of 4.2 m 55.4 m 2 221.7 m 2 13.2 m 2 26.4 m 2 4.2 m

31. Correct answer You’re halfway up Press the button

32. Wrong answer You can’t get over the wall here – try again Press the button

33. Question B 1 b Calculate the area of a circle with a radius of 2.8 cm 98.5 cm 2 24.6 cm 2 8.8 cm 2 17.6 cm 2 2.8 cm

34. Correct answer You’re halfway up Press the button

35. Wrong answer You still can’t find a way over the wall Press the button

36. Question B 1 c Using the formula A = πr 2 calculate the area of a circle with a radius of 11.6 m 1690.9 m 2 422.7 m 2 36.4 m 2 72.9 m 2 11.6 m

37. Correct answer You found a foothold at last Press the button

38. Wrong answer Still no way over the wall Press the button

39. Question B 1 d Example: Calculate the area of a circle with a radius of 3.8 cm A= πr 2 = π × 3.8 2 = 45.4 cm 2 Using the same method, calculate the area of a circle with a radius of 8.6 mm 11.9 mm 2 23.9 mm 2 232.4 mm 2 929.4 mm 2

40. Correct answer You found a foothold eventually Press the button

41. Wrong answer You can’t find a way over the wall Press the button

42. The evil lord has escaped with the princess, you have lost her forever!! Press the button

43. Question B 2 a Calculate the area of a circle with a diameter of 28.4 m 2533.9 m 2 633.5 m 2 89.2 m 2 44.6 m 2 28.4 m

44. Correct answer You climbed over the wall Press the button

45. Wrong answer You slipped again Press the button

46. Question B 2 b Calculate the area of a circle with a diameter of 16 cm 201.1 cm 2 804.2 cm 2 25.1 cm 2 50.3 cm 2 16 cm

47. Correct answer You got over the wall Press the button

48. Wrong answer You can’t get back up now Press the button

49. Question B 2 c Using the formula A = πr 2 calculate the area of a circle with a diameter of 9 mm 28.3 mm 2 14.1 mm 2 254.5 mm 2 63.6 mm 2 9 mm

50. Correct answer You climbed over the wall at last Press the button

51. Wrong answer You can’t find the foothold again Press the button

52. Question B 2 d Example: Calculate the area of a circle with a diameter of 8.2 m A= πr 2 = π × 4.1 2 (note: r = 4.1 m) = 52.8 m 2 Using the same method, calculate the area of a circle with a diameter of 26 cm 81.7 cm 2 40.8 cm 2 530.9 cm 2 2123.7 cm 2

53. Correct answer You got over the wall at last Press the button

54. Wrong answer You can’t find a way over the wall Press the button

55. The evil lord has escaped with the princess, you have lost her forever!! Press the button

56. Inside the castle grounds is a fierce dragon guarding the cell where the princess is being kept. To rescue the princess, you must get past the dragon. To try to get past the dragon press the button.

57. Question C 1 a Calculate the diameter of a circle with a circumference of 40.2 cm 63.1 cm 126.3 cm6.4 cm12.8 cm

58. Correct answer You’re almost past the dragon Press the button

59. Wrong answer You didn’t manage to get past the dragon this time Press the button

60. Question C 1 b Calculate the diameter of a circle with a circumference of 81.4 m 25.9 m 13.0 m255.7 m127.9 m

61. Correct answer You almost past the dragon Press the button

62. Wrong answer You still didn’t get past the dragon Press the button

63. Question C 1 c Using the formula C = πd calculate the diameter of a circle with a circumference of 63.5 mm 10.1 mm 20.2 mm199.5 mm99.7 mm

64. Correct answer You almost past the dragon Press the button

65. Wrong answer You need to try harder to get past the dragon Press the button

66. Question C 1 d Example: Calculate the diameter of a circle with a circumference of 17.9 cm C= πd 17.9= πd d= 17.9 = 5.7 cm π Using the same method, calculate the diameter of a circle with a circumference of 96.2 cm 302.2 cm 151.1 cm15.3 cm30.6 cm

67. Correct answer You’re almost past the dragon Press the button

68. Wrong answer You can’t find a way past the dragon Press the button

69. The evil lord has escaped with the princess, you have lost her forever!! Press the button

70. Question C 2 a Calculate the radius of a circle with a circumference of 28.4 mm 4.5 mm 9.0 mm89.2 mm178.4 mm

71. Correct answer You got past the dragon Press the button

72. Wrong answer Still a bit further to go Press the button

73. Question C 2 b Calculate the radius of a circle with a circumference of 78.1 mm 245.4 mm 490.7 mm12.4 mm24.9 mm

74. Correct answer You got past the dragon Press the button

75. Wrong answer You’re still not there yet Press the button

76. Question C 2 c Using the formula C = 2πr calculate the radius of a circle with a circumference of 44.3 m 14.1 m 7.1 m139.2 m278.3 m

77. Correct answer You managed to get past the dragon this time Press the button

78. Wrong answer You’re struggling to find a way past the dragon Press the button

79. Question C 2 d Example: Calculate the radius of a circle with a circumference of 20.4 cm C= 2πr 20.4= 2πr r= 20.4 = 3.2 cm (use your calculator 2π to make sure you can get this) Using the same method, calculate the radius of a circle with a circumference of 38.4 m 12.2 m 6.1 m120.6 m241.3 m

80. Correct answer You eventually got past the dragon Press the button

81. Wrong answer There is no way past the dragon Press the button

82. The evil lord has escaped with the princess, you have lost her forever!! Press the button

83. The princess is locked inside a cell with a strong door. You must break open the locks of the cell door. To try and break the locks press the button.

84. Question D 1 a Calculate the radius of a circle with an area of 75.4 cm 2 24.0 cm 12.0 cm4.9 cm2.4 cm

85. Correct answer You have broken off one lock Press the button

86. Wrong answer You can’t get through the door Press the button

87. Question D 1 b Calculate the radius of a circle with an area of 24.6 cm 2 2.8 cm 1.4 cm7.8 cm3.9 cm

88. Correct answer You have broken off one lock Press the button

89. Wrong answer You still can’t get through the door Press the button

90. Question D 1 c Using the formula A = πr 2 calculate the radius of a circle with an area of 415.5 cm 2 5.8 cm 11.5 cm132.3 cm66.1 cm

91. Correct answer You have managed to break off one lock Press the button

92. Wrong answer There seems no way through the door Press the button

93. Question D 1 d Example: Calculate the radius of a circle with an area of 120.8 mm 2 A= πr 2 120.8= πr 2 r 2 = 120.8 = 38.5 π r= √38.5 = 6.2 mm Using the same method, calculate the radius of a circle with an area of 339.8 cm 2 108.2 cm 54.1 cm10.4 cm5.2 cm

94. Correct answer You have broken one lock eventually Press the button

95. Wrong answer The door is too strong! Press the button

96. The evil lord has escaped with the princess, you have lost her forever!! Press the button

97. Question D 2 a Calculate the diameter of a circle with an area of 105.7 cm 2 5.8 cm 11.6 cm33.6 cm16.8 cm

98. Correct answer You have broken through the door Press the button

99. Wrong answer The second lock is too strong Press the button

100. Question D 2 b Calculate the diameter of a circle with an area of 326.9 m 2 104.1 m 52.0 m10.2 m20.4 m

101. Correct answer You have broken through the door Press the button

102. Wrong answer You can’t break the second lock Press the button

103. Question D 2 c Using the formula A = πr 2 calculate the diameter of a circle with an area of 58.1 mm 2 (calculate the radius first and then use this to work out the diameter) 18.5 mm 9.2 mm8.6 mm4.3 mm

104. Correct answer You managed to get through the door Press the button

105. Wrong answer You can’t find a way to break the second lock Press the button

106. Question D 2 d Example: Calculate the diameter of a circle with an area of 66.5 cm 2 A= πr 2 r 2 = 66.5 = 21.2 π r= √21.2 = 4.6 cm d= 9.2 cm (diameter = 2 × radius) Using the same method, calculate the diameter of a circle with an area of 40.7 m 2 13.0 m 6.5 m3.6 m7.2 m

107. Correct answer You broke through the door at last Press the button

108. Wrong answer The second lock will not break Press the button

109. The evil lord has escaped with the princess, you have lost her forever!! Press the button

110. The evil lord stands between you and the princess. You must fight the evil lord and defeat him. To start the fight press the button.

111. Question E 1 a Calculate the length of the arc shown below. 24.0 cm 102.8 cm9.6 cm4.8 cm 110º 5 cm

112. Correct answer You hit the evil lord Press the button

113. Wrong answer You missed the evil lord Press the button

114. Question E 1 b Calculate the length of the arc shown below. 39.3 mm 78.5 mm706.9 mm162.9 mm 250º 18 mm

115. Correct answer You hit the evil lord Press the button

116. Wrong answer You missed the evil lord again Press the button

117. Question E 1 c Using the formula: arc length = 2πr × θ 360º calculate the length of the arc shown below. 113.1 m11.2 m22.3 m 160º 8 m 89.4 m

118. Correct answer You hit the evil lord at last Press the button

119. Wrong answer The evil lord is too good Press the button

120. 3.9 cm 135.7 cm2.6 cm 70º 6 m 50º 3 cm 1.3 cm Question E 1 d Example: Calculate the length of the arc shown to the right. arc length= 2πr × θ 360º = 2 × π × 6 × 70º 360º = 7.3 m Using the same method, calculate the length of the arc shown to the right.

121. Correct answer You hit the evil lord eventually Press the button

122. Wrong answer The evil lord has defeated you Press the button

123. The evil lord has escaped with the princess, you have lost her forever!! Press the button

124. Question E 2 a Calculate the area of the sector shown below. 24.0 cm 2 257.0 cm 2 9.6 cm 2 4.8 cm 2 110º 5 cm

125. Correct answer You beat the evil lord Press the button

126. Wrong answer The evil lord got up again Press the button

127. Question E 2 b Calculate the area of the sector shown below. 39.3 mm 2 78.5 mm 2 706.9 mm 2 1465.7 mm 2 250º 18 mm

128. Correct answer You beat the evil lord this time Press the button

129. Wrong answer The evil lord is too strong Press the button

130. Question E 2 c Using the formula: sector area = πr 2 × θ 360º calculate the area of the sector shown below. 22.3 m 2 89.4 m 2 452.4 m 2 160º 8 m 11.2 m 2

131. Correct answer After a hard battle, you eventually beat the evil lord Press the button

132. Wrong answer You can’t seem to beat the evil lord Press the button

133. Question E 2 d Example: Calculate the area of the sector shown to the right. sector area= πr 2 × θ 360º = π × 6 2 × 70º 360º = 22.0 m 2 Using the same method, calculate the area of the sector shown to the right. 1.3 cm 2 2.6 cm 2 3.9 cm 2 70º 6 m 50º 3 cm 203.6 cm 2

134. Correct answer You managed at last to beat the evil lord Press the button

135. Wrong answer The evil lord has defeated you Press the button

136. The evil lord has escaped with the princess, you have lost her forever!! Press the button

137. Congratulations You have rescued the princess Play again?

138. You need help withA1 - circumference (given diameter) Topics not covered yetA2 - circumference (given radius) B - area C, D - reverse questions E - arc length and sector area Try again

139. You can doA1 - circumference (given diameter) You need help withA2 - circumference (given radius) Topics not covered yetB - area C, D - reverse questions E - arc length and sector area Try again

140. You can doA - circumference You need help withB1 - area (given radius) Topics not covered yetB2 - area (given diameter) C, D - reverse questions E - arc length and sector area Try again

141. You can doA - circumference B1 - area (given radius) You need help withB2 - area (given diameter) Topics not covered yetC, D - reverse questions E - arc length and sector area Try again

142. You can doA - circumference B - area You need help withC1 - given circumference, find diameter Topics not covered yetC2 - given circumference, find radius D - given area, find radius and diameter E - arc length and sector area Try again

143. You can doA - circumference B - area C1 - given circumference, find diameter You need help withC2 - given circumference, find radius Topics not covered yetD - given area, find radius and diameter E - arc length and sector area Try again

144. You can doA - circumference B - area C - given circumference, find diameter and radius You need help withD1 - given area, find radius Topics not covered yetD2 - given area, find diameter E - arc length and sector area Try again

145. You can doA - circumference B - area C - given circumference, find diameter and radius D1 - given area, find radius You need help withD2 - given area, find diameter Topic not covered yetE - arc length and sector area Try again

146. You can doA - circumference B - area C, D - reverse questions You need help withE1 - arc length Topic not covered yetE2 - sector area Try again

147. You can doA - circumference B - area C, D - reverse questions E1 - arc length You need help withE2 - sector area Try again?