Page 1
Your mission is to rescue the beautiful princessfrom the evil lord.
To rescue heryou must complete 5 challenges.
To complete a challengeyou 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 answersyou will lose the princess forever!!
To begin your mission press the button
Your mission is to rescue the beautiful princessfrom the evil lord.
To rescue heryou must complete 5 challenges.
To complete a challengeyou 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 answersyou will lose the princess forever!!
To begin your mission press the button
To start press the buttonTo start press the button
Page 2
The princess is being held captivein a castle surrounded by a thick forest.
Your first challengeis to find your way through the forest.
The princess is being held captivein a castle surrounded by a thick forest.
Your first challengeis to find your way through the forest.
To enter the forestpress the button.
Page 3
Question A 1 a
Calculate the circumference of a circlewith a diameter of 5.2 cm
Question A 1 a
Calculate the circumference of a circlewith a diameter of 5.2 cm
5.2 cm5.2 cm
16.3 cm16.3 cm21.2 cm21.2 cm 8.2 cm8.2 cm84.9 cm84.9 cm
Page 4
Correct answer
You can see some light through the trees ahead
Press the button
Correct answer
You can see some light through the trees ahead
Press the button
Page 5
Wrong answer
You’re lost in the forest
Press the button
Wrong answer
You’re lost in the forest
Press the button
Page 6
Question A 1 b
Calculate the circumference of a circlewith a diameter of 15 m
Question A 1 b
Calculate the circumference of a circlewith a diameter of 15 m
706.9 m706.9 m 176.7 m176.7 m 47.1 m47.1 m 23.6 m23.6 m
15 m15 m
Page 7
Correct answer
You can see some light through the trees ahead
Press the button
Correct answer
You can see some light through the trees ahead
Press the button
Page 8
Wrong answer
You’re still lost in the forest
Press the button
Wrong answer
You’re still lost in the forest
Press the button
Page 9
Question A 1 c
Using the formula C = πdcalculate the circumference of a circlewith a diameter of 7.8 mm
Question A 1 c
Using the formula C = πdcalculate the circumference of a circlewith a diameter of 7.8 mm
12.3 mm12.3 mm 24.5 mm24.5 mm 191.1 mm191.1 mm 47.8 mm47.8 mm
7.8 mm7.8 mm
Page 10
Correct answer
You can see some light through the trees ahead at last
Press the button
Correct answer
You can see some light through the trees ahead at last
Press the button
Page 11
Wrong answer
You’re lost deep in the forest
Press the button
Wrong answer
You’re lost deep in the forest
Press the button
Page 12
Question A 1 d
Example:Calculate the circumference of a circlewith a diameter of 3.8 cm C= πd
= π × 3.8= 11.9 cm
Using the same method,calculate the circumference of a circlewith a diameter of 18.2 cm
Question A 1 d
Example:Calculate the circumference of a circlewith a diameter of 3.8 cm C= πd
= π × 3.8= 11.9 cm
Using the same method,calculate the circumference of a circlewith a diameter of 18.2 cm
1040.6 cm1040.6 cm 260.2 cm260.2 cm 28.6 cm28.6 cm 57.2 cm57.2 cm
Page 13
Correct answer
You can see some light through the trees ahead eventually
Press the button
Correct answer
You can see some light through the trees ahead eventually
Press the button
Page 14
Wrong answer
You can’t find your way through the forest
Press the button
Wrong answer
You can’t find your way through the forest
Press the button
Page 15
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 16
Question A 2 a
Calculate the circumference of a circlewith a radius of 8.1 m
Question A 2 a
Calculate the circumference of a circlewith a radius of 8.1 m
50.9 m50.9 m 25.4 m25.4 m 206.1 m206.1 m 824.5 m824.5 m
8.1 m8.1 m
Page 17
Correct answer
You found your way through the forest
Press the button
Correct answer
You found your way through the forest
Press the button
Page 18
Wrong answer
You’ve lost your way again
Press the button
Wrong answer
You’ve lost your way again
Press the button
Page 19
Question A 2 b
Calculate the circumference of a circlewith a radius of 21 cm
Question A 2 b
Calculate the circumference of a circlewith a radius of 21 cm
66.0 cm66.0 cm 1385.4 cm1385.4 cm131.9 cm131.9 cm 346.4 cm346.4 cm
21 cm21 cm
Page 20
Correct answer
You made it through the forest
Press the button
Correct answer
You made it through the forest
Press the button
Page 21
Wrong answer
You’re way out seems to have disappeared
Press the button
Wrong answer
You’re way out seems to have disappeared
Press the button
Page 22
Question A 2 c
Using the formula C = 2πrcalculate the circumference of a circlewith a radius of 6.4 mm
Question A 2 c
Using the formula C = 2πrcalculate the circumference of a circlewith a radius of 6.4 mm
128.7 mm128.7 mm 514.7 mm514.7 mm 20.1 mm20.1 mm 40.2 mm40.2 mm
6.4 mm6.4 mm
Page 23
Correct answer
You finally made it through the forest
Press the button
Correct answer
You finally made it through the forest
Press the button
Page 24
Wrong answer
You’re totally lost again
Press the button
Wrong answer
You’re totally lost again
Press the button
Page 25
Question A 2 d
Example:Calculate the circumference of a circlewith a radius of 4.2 cm C= 2πr
= 2 × π × 4.2= 26.4 cm
Using the same method,calculate the circumference of a circlewith a radius of 12.5 m
Question A 2 d
Example:Calculate the circumference of a circlewith a radius of 4.2 cm C= 2πr
= 2 × π × 4.2= 26.4 cm
Using the same method,calculate the circumference of a circlewith a radius of 12.5 m
39.3 m39.3 m 78.5 m78.5 m 490.9 m490.9 m 122.7 m122.7 m
Page 26
Correct answer
You made it through the forest eventually
Press the button
Correct answer
You made it through the forest eventually
Press the button
Page 27
Wrong answer
You can’t find your way through the forest
Press the button
Wrong answer
You can’t find your way through the forest
Press the button
Page 28
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 29
The castle is built high on a rockprotected by a massive wall.
Your next challengeis to climb the castle wall.
The castle is built high on a rockprotected by a massive wall.
Your next challengeis to climb the castle wall.
To try to find a way over the wallpress the button.
Page 30
Question B 1 a
Calculate the area of a circlewith a radius of 4.2 m
Question B 1 a
Calculate the area of a circlewith a radius of 4.2 m
55.4 m255.4 m2 221.7 m2221.7 m2 13.2 m213.2 m2 26.4 m226.4 m2
4.2 m4.2 m
Page 31
Correct answer
You’re halfway up
Press the button
Correct answer
You’re halfway up
Press the button
Page 32
Wrong answer
You can’t get over the wall here – try again
Press the button
Wrong answer
You can’t get over the wall here – try again
Press the button
Page 33
Question B 1 b
Calculate the area of a circlewith a radius of 2.8 cm
Question B 1 b
Calculate the area of a circlewith a radius of 2.8 cm
98.5 cm298.5 cm2 24.6 cm224.6 cm2 8.8 cm28.8 cm2 17.6 cm217.6 cm2
2.8 cm2.8 cm
Page 34
Correct answer
You’re halfway up
Press the button
Correct answer
You’re halfway up
Press the button
Page 35
Wrong answer
You still can’t find a way over the wall
Press the button
Wrong answer
You still can’t find a way over the wall
Press the button
Page 36
Question B 1 c
Using the formula A = πr2
calculate the area of a circlewith a radius of 11.6 m
Question B 1 c
Using the formula A = πr2
calculate the area of a circlewith a radius of 11.6 m
1690.9 m21690.9 m2 422.7 m2422.7 m2 36.4 m236.4 m2 72.9 m272.9 m2
11.6 m11.6 m
Page 37
Correct answer
You found a foothold at last
Press the button
Correct answer
You found a foothold at last
Press the button
Page 38
Wrong answer
Still no way over the wall
Press the button
Wrong answer
Still no way over the wall
Press the button
Page 39
Question B 1 d
Example:Calculate the area of a circlewith a radius of 3.8 cm A = πr2
= π × 3.82
= 45.4 cm2
Using the same method,calculate the area of a circlewith a radius of 8.6 mm
Question B 1 d
Example:Calculate the area of a circlewith a radius of 3.8 cm A = πr2
= π × 3.82
= 45.4 cm2
Using the same method,calculate the area of a circlewith a radius of 8.6 mm
11.9 mm211.9 mm2 23.9 mm223.9 mm2 232.4 mm2232.4 mm2 929.4 mm2929.4 mm2
Page 40
Correct answer
You found a foothold eventually
Press the button
Correct answer
You found a foothold eventually
Press the button
Page 41
Wrong answer
You can’t find a way over the wall
Press the button
Wrong answer
You can’t find a way over the wall
Press the button
Page 42
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 43
Question B 2 a
Calculate the area of a circlewith a diameter of 28.4 m
Question B 2 a
Calculate the area of a circlewith a diameter of 28.4 m
2533.9 m22533.9 m2 633.5 m2633.5 m2 89.2 m289.2 m2 44.6 m244.6 m2
28.4 m28.4 m
Page 44
Correct answer
You climbed over the wall
Press the button
Correct answer
You climbed over the wall
Press the button
Page 45
Wrong answer
You slipped again
Press the button
Wrong answer
You slipped again
Press the button
Page 46
Question B 2 b
Calculate the area of a circlewith a diameter of 16 cm
Question B 2 b
Calculate the area of a circlewith a diameter of 16 cm
201.1 cm2201.1 cm2 804.2 cm2804.2 cm2 25.1 cm225.1 cm2 50.3 cm250.3 cm2
16 cm16 cm
Page 47
Correct answer
You got over the wall
Press the button
Correct answer
You got over the wall
Press the button
Page 48
Wrong answer
You can’t get back up now
Press the button
Wrong answer
You can’t get back up now
Press the button
Page 49
Question B 2 c
Using the formula A = πr2
calculate the area of a circlewith a diameter of 9 mm
Question B 2 c
Using the formula A = πr2
calculate the area of a circlewith a diameter of 9 mm
28.3 mm228.3 mm2 14.1 mm214.1 mm2 254.5 mm2254.5 mm2 63.6 mm263.6 mm2
9 mm9 mm
Page 50
Correct answer
You climbed over the wall at last
Press the button
Correct answer
You climbed over the wall at last
Press the button
Page 51
Wrong answer
You can’t find the foothold again
Press the button
Wrong answer
You can’t find the foothold again
Press the button
Page 52
Question B 2 d
Example:Calculate the area of a circlewith a diameter of 8.2 m A = πr2
= π × 4.12 (note: r = 4.1 m)= 52.8 m2
Using the same method,calculate the area of a circlewith a diameter of 26 cm
Question B 2 d
Example:Calculate the area of a circlewith a diameter of 8.2 m A = πr2
= π × 4.12 (note: r = 4.1 m)= 52.8 m2
Using the same method,calculate the area of a circlewith a diameter of 26 cm
81.7 cm281.7 cm2 40.8 cm240.8 cm2 530.9 cm2530.9 cm2 2123.7 cm22123.7 cm2
Page 53
Correct answer
You got over the wall at last
Press the button
Correct answer
You got over the wall at last
Press the button
Page 54
Wrong answer
You can’t find a way over the wall
Press the button
Wrong answer
You can’t find a way over the wall
Press the button
Page 55
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 56
Inside the castle grounds is a fierce dragonguarding the cell where the princess is being kept.
To rescue the princess,you must get past the dragon.
Inside the castle grounds is a fierce dragonguarding the cell where the princess is being kept.
To rescue the princess,you must get past the dragon.
To try to get past the dragonpress the button.
Page 57
Question C 1 a
Calculate the diameter of a circlewith a circumference of 40.2 cm
Question C 1 a
Calculate the diameter of a circlewith a circumference of 40.2 cm
63.1 cm63.1 cm 126.3 cm126.3 cm 6.4 cm6.4 cm 12.8 cm12.8 cm
Page 58
Correct answer
You’re almost past the dragon
Press the button
Correct answer
You’re almost past the dragon
Press the button
Page 59
Wrong answer
You didn’t manage to get past the dragon this time
Press the button
Wrong answer
You didn’t manage to get past the dragon this time
Press the button
Page 60
Question C 1 b
Calculate the diameter of a circlewith a circumference of 81.4 m
Question C 1 b
Calculate the diameter of a circlewith a circumference of 81.4 m
25.9 m25.9 m 13.0 m13.0 m 255.7 m255.7 m 127.9 m127.9 m
Page 61
Correct answer
You almost past the dragon
Press the button
Correct answer
You almost past the dragon
Press the button
Page 62
Wrong answer
You still didn’t get past the dragon
Press the button
Wrong answer
You still didn’t get past the dragon
Press the button
Page 63
Question C 1 c
Using the formula C = πdcalculate the diameter of a circlewith a circumference of 63.5 mm
Question C 1 c
Using the formula C = πdcalculate the diameter of a circlewith a circumference of 63.5 mm
10.1 mm10.1 mm 20.2 mm20.2 mm 199.5 mm199.5 mm 99.7 mm99.7 mm
Page 64
Correct answer
You almost past the dragon
Press the button
Correct answer
You almost past the dragon
Press the button
Page 65
Wrong answer
You need to try harder to get past the dragon
Press the button
Wrong answer
You need to try harder to get past the dragon
Press the button
Page 66
Question C 1 d
Example:Calculate the diameter of a circlewith 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 circlewith a circumference of 96.2 cm
Question C 1 d
Example:Calculate the diameter of a circlewith 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 circlewith a circumference of 96.2 cm
302.2 cm302.2 cm 151.1 cm151.1 cm 15.3 cm15.3 cm 30.6 cm30.6 cm
Page 67
Correct answer
You’re almost past the dragon
Press the button
Correct answer
You’re almost past the dragon
Press the button
Page 68
Wrong answer
You can’t find a way past the dragon
Press the button
Wrong answer
You can’t find a way past the dragon
Press the button
Page 69
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 70
Question C 2 a
Calculate the radius of a circlewith a circumference of 28.4 mm
Question C 2 a
Calculate the radius of a circlewith a circumference of 28.4 mm
4.5 mm4.5 mm 9.0 mm9.0 mm 89.2 mm89.2 mm 178.4 mm178.4 mm
Page 71
Correct answer
You got past the dragon
Press the button
Correct answer
You got past the dragon
Press the button
Page 72
Wrong answer
Still a bit further to go
Press the button
Wrong answer
Still a bit further to go
Press the button
Page 73
Question C 2 b
Calculate the radius of a circlewith a circumference of 78.1 mm
Question C 2 b
Calculate the radius of a circlewith a circumference of 78.1 mm
245.4 mm245.4 mm 490.7 mm490.7 mm 12.4 mm12.4 mm 24.9 mm24.9 mm
Page 74
Correct answer
You got past the dragon
Press the button
Correct answer
You got past the dragon
Press the button
Page 75
Wrong answer
You’re still not there yet
Press the button
Wrong answer
You’re still not there yet
Press the button
Page 76
Question C 2 c
Using the formula C = 2πrcalculate the radius of a circlewith a circumference of 44.3 m
Question C 2 c
Using the formula C = 2πrcalculate the radius of a circlewith a circumference of 44.3 m
14.1 m14.1 m 7.1 m7.1 m 139.2 m139.2 m 278.3 m278.3 m
Page 77
Correct answer
You managed to get past the dragon this time
Press the button
Correct answer
You managed to get past the dragon this time
Press the button
Page 78
Wrong answer
You’re struggling to find a way past the dragon
Press the button
Wrong answer
You’re struggling to find a way past the dragon
Press the button
Page 79
Question C 2 d
Example:Calculate the radius of a circlewith 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 circlewith a circumference of 38.4 m
Question C 2 d
Example:Calculate the radius of a circlewith 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 circlewith a circumference of 38.4 m
12.2 m12.2 m 6.1 m6.1 m 120.6 m120.6 m 241.3 m241.3 m
Page 80
Correct answer
You eventually got past the dragon
Press the button
Correct answer
You eventually got past the dragon
Press the button
Page 81
Wrong answer
There is no way past the dragon
Press the button
Wrong answer
There is no way past the dragon
Press the button
Page 82
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 83
The princess is locked inside a cellwith a strong door.
You must break open the locksof the cell door.
The princess is locked inside a cellwith a strong door.
You must break open the locksof the cell door.
To try and break the lockspress the button.
Page 84
Question D 1 a
Calculate the radius of a circlewith an area of 75.4 cm2
Question D 1 a
Calculate the radius of a circlewith an area of 75.4 cm2
24.0 cm24.0 cm 12.0 cm12.0 cm 4.9 cm4.9 cm 2.4 cm2.4 cm
Page 85
Correct answer
You have broken off one lock
Press the button
Correct answer
You have broken off one lock
Press the button
Page 86
Wrong answer
You can’t get through the door
Press the button
Wrong answer
You can’t get through the door
Press the button
Page 87
Question D 1 b
Calculate the radius of a circlewith an area of 24.6 cm2
Question D 1 b
Calculate the radius of a circlewith an area of 24.6 cm2
2.8 cm2.8 cm 1.4 cm1.4 cm 7.8 cm7.8 cm 3.9 cm3.9 cm
Page 88
Correct answer
You have broken off one lock
Press the button
Correct answer
You have broken off one lock
Press the button
Page 89
Wrong answer
You still can’t get through the door
Press the button
Wrong answer
You still can’t get through the door
Press the button
Page 90
Question D 1 c
Using the formula A = πr2
calculate the radius of a circlewith an area of 415.5 cm2
Question D 1 c
Using the formula A = πr2
calculate the radius of a circlewith an area of 415.5 cm2
5.8 cm5.8 cm 11.5 cm11.5 cm 132.3 cm132.3 cm 66.1 cm66.1 cm
Page 91
Correct answer
You have managed to break off one lock
Press the button
Correct answer
You have managed to break off one lock
Press the button
Page 92
Wrong answer
There seems no way through the door
Press the button
Wrong answer
There seems no way through the door
Press the button
Page 93
Question D 1 d
Example:Calculate the radius of a circlewith an area of 120.8 mm2
A = πr2
120.8 = πr2
r2 = 120.8 = 38.5 π
r = √38.5 = 6.2 mm
Using the same method,calculate the radius of a circlewith an area of 339.8 cm2
Question D 1 d
Example:Calculate the radius of a circlewith an area of 120.8 mm2
A = πr2
120.8 = πr2
r2 = 120.8 = 38.5 π
r = √38.5 = 6.2 mm
Using the same method,calculate the radius of a circlewith an area of 339.8 cm2
108.2 cm108.2 cm 54.1 cm54.1 cm 10.4 cm10.4 cm 5.2 cm5.2 cm
Page 94
Correct answer
You have broken one lock eventually
Press the button
Correct answer
You have broken one lock eventually
Press the button
Page 95
Wrong answer
The door is too strong!
Press the button
Wrong answer
The door is too strong!
Press the button
Page 96
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 97
Question D 2 a
Calculate the diameter of a circlewith an area of 105.7 cm2
Question D 2 a
Calculate the diameter of a circlewith an area of 105.7 cm2
5.8 cm5.8 cm 11.6 cm11.6 cm 33.6 cm33.6 cm 16.8 cm16.8 cm
Page 98
Correct answer
You have broken through the door
Press the button
Correct answer
You have broken through the door
Press the button
Page 99
Wrong answer
The second lock is too strong
Press the button
Wrong answer
The second lock is too strong
Press the button
Page 100
Question D 2 b
Calculate the diameter of a circlewith an area of 326.9 m2
Question D 2 b
Calculate the diameter of a circlewith an area of 326.9 m2
104.1 m104.1 m 52.0 m52.0 m 10.2 m10.2 m 20.4 m20.4 m
Page 101
Correct answer
You have broken through the door
Press the button
Correct answer
You have broken through the door
Press the button
Page 102
Wrong answer
You can’t break the second lock
Press the button
Wrong answer
You can’t break the second lock
Press the button
Page 103
Question D 2 c
Using the formula A = πr2
calculate the diameter of a circlewith an area of 58.1 mm2
(calculate the radius first and then use this to work out the diameter)
Question D 2 c
Using the formula A = πr2
calculate the diameter of a circlewith an area of 58.1 mm2
(calculate the radius first and then use this to work out the diameter)
18.5 mm18.5 mm 9.2 mm9.2 mm 8.6 mm8.6 mm 4.3 mm4.3 mm
Page 104
Correct answer
You managed to get through the door
Press the button
Correct answer
You managed to get through the door
Press the button
Page 105
Wrong answer
You can’t find a way to break the second lock
Press the button
Wrong answer
You can’t find a way to break the second lock
Press the button
Page 106
Question D 2 d
Example:Calculate the diameter of a circlewith an area of 66.5 cm2
A = πr2
r2 = 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 circlewith an area of 40.7 m2
Question D 2 d
Example:Calculate the diameter of a circlewith an area of 66.5 cm2
A = πr2
r2 = 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 circlewith an area of 40.7 m2
13.0 m13.0 m 6.5 m6.5 m 3.6 m3.6 m 7.2 m7.2 m
Page 107
Correct answer
You broke through the door at last
Press the button
Correct answer
You broke through the door at last
Press the button
Page 108
Wrong answer
The second lock will not break
Press the button
Wrong answer
The second lock will not break
Press the button
Page 109
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 110
The evil lord stands between youand the princess.
You must fight the evil lordand defeat him.
The evil lord stands between youand the princess.
You must fight the evil lordand defeat him.
To start the fightpress the button.
Page 111
Question E 1 a
Calculate the length of the arcshown below.
Question E 1 a
Calculate the length of the arcshown below.
24.0 cm24.0 cm 102.8 cm102.8 cm 9.6 cm9.6 cm 4.8 cm4.8 cm
110º110º
5 cm5 cm
Page 112
Correct answer
You hit the evil lord
Press the button
Correct answer
You hit the evil lord
Press the button
Page 113
Wrong answer
You missed the evil lord
Press the button
Wrong answer
You missed the evil lord
Press the button
Page 114
Question E 1 b
Calculate the length of the arcshown below.
Question E 1 b
Calculate the length of the arcshown below.
39.3 mm39.3 mm 78.5 mm78.5 mm 706.9 mm706.9 mm 162.9 mm162.9 mm
250º250º18 mm18 mm
Page 115
Correct answer
You hit the evil lord
Press the button
Correct answer
You hit the evil lord
Press the button
Page 116
Wrong answer
You missed the evil lord again
Press the button
Wrong answer
You missed the evil lord again
Press the button
Page 117
Question E 1 c
Using the formula: arc length = 2πr × θ 360ºcalculate the length of the arcshown below.
Question E 1 c
Using the formula: arc length = 2πr × θ 360ºcalculate the length of the arcshown below.
113.1 m113.1 m 11.2 m11.2 m 22.3 m22.3 m
160º160º
8 m8 m
89.4 m89.4 m
Page 118
Correct answer
You hit the evil lord at last
Press the button
Correct answer
You hit the evil lord at last
Press the button
Page 119
Wrong answer
The evil lord is too good
Press the button
Wrong answer
The evil lord is too good
Press the button
Page 120
3.9 cm3.9 cm 135.7 cm135.7 cm 2.6 cm2.6 cm
70º70º6 m6 m
50º50º3 cm3 cm
1.3 cm1.3 cm
Question E 1 d
Example:Calculate the length of the arcshown 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 arcshown to the right.
Question E 1 d
Example:Calculate the length of the arcshown 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 arcshown to the right.
Page 121
Correct answer
You hit the evil lord eventually
Press the button
Correct answer
You hit the evil lord eventually
Press the button
Page 122
Wrong answer
The evil lord has defeated you
Press the button
Wrong answer
The evil lord has defeated you
Press the button
Page 123
The evil lord has escaped with the princess,you have lost her forever!!
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The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 124
Question E 2 a
Calculate the area of the sectorshown below.
Question E 2 a
Calculate the area of the sectorshown below.
24.0 cm224.0 cm2 257.0 cm2257.0 cm2 9.6 cm29.6 cm2 4.8 cm24.8 cm2
110º110º
5 cm5 cm
Page 125
Correct answer
You beat the evil lord
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Correct answer
You beat the evil lord
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Page 126
Wrong answer
The evil lord got up again
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Wrong answer
The evil lord got up again
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Page 127
Question E 2 b
Calculate the area of the sectorshown below.
Question E 2 b
Calculate the area of the sectorshown below.
39.3 mm239.3 mm2 78.5 mm278.5 mm2 706.9 mm2706.9 mm2 1465.7 mm21465.7 mm2
250º250º18 mm18 mm
Page 128
Correct answer
You beat the evil lord this time
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Correct answer
You beat the evil lord this time
Press the button
Page 129
Wrong answer
The evil lord is too strong
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Wrong answer
The evil lord is too strong
Press the button
Page 130
Question E 2 c
Using the formula: sector area = πr2 × θ 360ºcalculate the area of the sectorshown below.
Question E 2 c
Using the formula: sector area = πr2 × θ 360ºcalculate the area of the sectorshown below.
22.3 m222.3 m2 89.4 m289.4 m2 452.4 m2452.4 m2
160º160º
8 m8 m
11.2 m211.2 m2
Page 131
Correct answer
After a hard battle, you eventually beat the evil lord
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Correct answer
After a hard battle, you eventually beat the evil lord
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Page 132
Wrong answer
You can’t seem to beat the evil lord
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Wrong answer
You can’t seem to beat the evil lord
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Page 133
Question E 2 d
Example:Calculate the area of the sectorshown to the right. sector area = πr2 × θ 360º
= π × 62 × 70º 360º
= 22.0 m2
Using the same method,calculate the area of the sectorshown to the right.
Question E 2 d
Example:Calculate the area of the sectorshown to the right. sector area = πr2 × θ 360º
= π × 62 × 70º 360º
= 22.0 m2
Using the same method,calculate the area of the sectorshown to the right.
1.3 cm21.3 cm2 2.6 cm22.6 cm2 3.9 cm23.9 cm2
70º70º6 m6 m
50º50º3 cm3 cm
203.6 cm2203.6 cm2
Page 134
Correct answer
You managed at last to beat the evil lord
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Correct answer
You managed at last to beat the evil lord
Press the button
Page 135
Wrong answer
The evil lord has defeated you
Press the button
Wrong answer
The evil lord has defeated you
Press the button
Page 136
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
The evil lord has escaped with the princess,you have lost her forever!!
Press the button
Page 137
Congratulations
You have rescued the princess
Play again?
Congratulations
You have rescued the princess
Play again?
Page 138
You need help with A1 - circumference (given diameter)
Topics not covered yet A2 - circumference (given radius)B - areaC, D - reverse questionsE - arc length and sector area
Try again
You need help with A1 - circumference (given diameter)
Topics not covered yet A2 - circumference (given radius)B - areaC, D - reverse questionsE - arc length and sector area
Try again
Page 139
You can do A1 - circumference (given diameter)
You need help with A2 - circumference (given radius)
Topics not covered yet B - areaC, D - reverse questionsE - arc length and sector area
Try again
You can do A1 - circumference (given diameter)
You need help with A2 - circumference (given radius)
Topics not covered yet B - areaC, D - reverse questionsE - arc length and sector area
Try again
Page 140
You can do A - circumference
You need help with B1 - area (given radius)
Topics not covered yet B2 - area (given diameter)C, D - reverse questionsE - arc length and sector area
Try again
You can do A - circumference
You need help with B1 - area (given radius)
Topics not covered yet B2 - area (given diameter)C, D - reverse questionsE - arc length and sector area
Try again
Page 141
You can do A - circumferenceB1 - area (given radius)
You need help with B2 - area (given diameter)
Topics not covered yet C, D - reverse questionsE - arc length and sector area
Try again
You can do A - circumferenceB1 - area (given radius)
You need help with B2 - area (given diameter)
Topics not covered yet C, D - reverse questionsE - arc length and sector area
Try again
Page 142
You can do A - circumferenceB - area
You need help with C1 - given circumference, find diameter
Topics not covered yet C2 - given circumference, find radiusD - given area, find radius and diameterE - arc length and sector area
Try again
You can do A - circumferenceB - area
You need help with C1 - given circumference, find diameter
Topics not covered yet C2 - given circumference, find radiusD - given area, find radius and diameterE - arc length and sector area
Try again
Page 143
You can do A - circumferenceB - areaC1 - given circumference, find diameter
You need help with C2 - given circumference, find radius
Topics not covered yet D - given area, find radius and diameterE - arc length and sector area
Try again
You can do A - circumferenceB - areaC1 - given circumference, find diameter
You need help with C2 - given circumference, find radius
Topics not covered yet D - given area, find radius and diameterE - arc length and sector area
Try again
Page 144
You can do A - circumferenceB - areaC - given circumference, find diameter and radius
You need help with D1 - given area, find radius
Topics not covered yet D2 - given area, find diameterE - arc length and sector area
Try again
You can do A - circumferenceB - areaC - given circumference, find diameter and radius
You need help with D1 - given area, find radius
Topics not covered yet D2 - given area, find diameterE - arc length and sector area
Try again
Page 145
You can do A - circumferenceB - areaC - given circumference, find diameter and radiusD1 - given area, find radius
You need help with D2 - given area, find diameter
Topic not covered yet E - arc length and sector area
Try again
You can do A - circumferenceB - areaC - given circumference, find diameter and radiusD1 - given area, find radius
You need help with D2 - given area, find diameter
Topic not covered yet E - arc length and sector area
Try again
Page 146
You can do A - circumferenceB - areaC, D - reverse questions
You need help with E1 - arc length
Topic not covered yet E2 - sector area
Try again
You can do A - circumferenceB - areaC, D - reverse questions
You need help with E1 - arc length
Topic not covered yet E2 - sector area
Try again
Page 147
You can do A - circumferenceB - areaC, D - reverse questionsE1 - arc length
You need help with E2 - sector area
Try again?
You can do A - circumferenceB - areaC, D - reverse questionsE1 - arc length
You need help with E2 - sector area
Try again?