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

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.

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

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

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

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

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

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

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

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

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

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 cm cm 28.6 cm57.2 cm

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

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

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

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

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

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

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

Correct answer You made it through the forest Press the button

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

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

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

Wrong answer You’re totally lost again Press the button

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

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

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

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

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.

Question B 1 a Calculate the area of a circle with a radius of 4.2 m 55.4 m m m m m

Correct answer You’re halfway up Press the button

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

Question B 1 b Calculate the area of a circle with a radius of 2.8 cm 98.5 cm cm cm cm cm

Correct answer You’re halfway up Press the button

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

Question B 1 c Using the formula A = πr 2 calculate the area of a circle with a radius of 11.6 m m m m m m

Correct answer You found a foothold at last Press the button

Wrong answer Still no way over the wall Press the button

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

Correct answer You found a foothold eventually Press the button

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

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

Question B 2 a Calculate the area of a circle with a diameter of 28.4 m m m m m m

Correct answer You climbed over the wall Press the button

Wrong answer You slipped again Press the button

Question B 2 b Calculate the area of a circle with a diameter of 16 cm cm cm cm cm 2 16 cm

Correct answer You got over the wall Press the button

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

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 mm mm mm 2 9 mm

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

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

Question B 2 d Example: Calculate the area of a circle with a diameter of 8.2 m A= πr 2 = π × (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 cm cm cm 2

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

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

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

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.

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

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

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

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

Correct answer You almost past the dragon Press the button

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

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

Correct answer You almost past the dragon Press the button

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

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 cm cm15.3 cm30.6 cm

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

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

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

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

Correct answer You got past the dragon Press the button

Wrong answer Still a bit further to go Press the button

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

Correct answer You got past the dragon Press the button

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

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

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

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

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

Correct answer You eventually got past the dragon Press the button

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

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

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.

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

Correct answer You have broken off one lock Press the button

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

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

Correct answer You have broken off one lock Press the button

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

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

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

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

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

Correct answer You have broken one lock eventually Press the button

Wrong answer The door is too strong! Press the button

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

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

Correct answer You have broken through the door Press the button

Wrong answer The second lock is too strong Press the button

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

Correct answer You have broken through the door Press the button

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

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

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

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

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 m 6.5 m3.6 m7.2 m

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

Wrong answer The second lock will not break Press the button

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

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.

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

Correct answer You hit the evil lord Press the button

Wrong answer You missed the evil lord Press the button

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

Correct answer You hit the evil lord Press the button

Wrong answer You missed the evil lord again Press the button

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

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

Wrong answer The evil lord is too good Press the button

3.9 cm 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.

Correct answer You hit the evil lord eventually Press the button

Wrong answer The evil lord has defeated you Press the button

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

Question E 2 a Calculate the area of the sector shown below cm cm cm cm 2 110º 5 cm

Correct answer You beat the evil lord Press the button

Wrong answer The evil lord got up again Press the button

Question E 2 b Calculate the area of the sector shown below mm mm mm mm 2 250º 18 mm

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

Wrong answer The evil lord is too strong Press the button

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

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

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

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 cm cm 2 70º 6 m 50º 3 cm cm 2

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

Wrong answer The evil lord has defeated you Press the button

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

Congratulations You have rescued the princess Play again?

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

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

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

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

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

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

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

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

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

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