EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon =...
Transcript of EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon =...
![Page 1: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/1.jpg)
EVERYTHING YOU NEED TO KNOW TO GET A GRADE C
GEOMETRY & MEASURES
(FOUNDATION)
![Page 2: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/2.jpg)
Rhombus
Trapezium
Rectangle
Rhombus
![Page 3: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/3.jpg)
Rhombus
![Page 4: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/4.jpg)
Parallelogram Rhombus
Trapezium or Right-angle Trapezium
![Page 5: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/5.jpg)
110°
Base angles in a kite are equal
Opposite angles in a rhombus are equal
250°
Angles around a point sum to 360°
Angles in a kite sum to 360°
30
![Page 6: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/6.jpg)
Kite
Trapezium
![Page 7: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/7.jpg)
Replace a with 3 and b with 5.2 P = 2 x 3 + 2 x 5.2
P = 6 + 10.416.4
Total areas of both shapes are equal to one as shown.
![Page 8: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/8.jpg)
Equilateral triangle
Rhombus
2 (Fits on top of itself twice through a full turn)
![Page 9: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/9.jpg)
9cm
5cm 5cm
5cm
3cm 3cm Can choose either as your answer
Any two of rectangle, parallelogram, kite or arrowhead
The 3cm and 5cm rods would not meet when joined with the 9cm rod.
![Page 10: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/10.jpg)
In an isosceles triangle, the base angles are the same
Angles in a triangle sum to
180°
80 20
50 50
Each angle is 60° in an equilateral triangle
120° because angles on a straight line add to 180°
30° because angles in a right angle add to 90°
Base angles are both 30° so ABD is an isosceles triangle
![Page 11: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/11.jpg)
Isosceles Triangle
Angles in a triangle add to 180°
180° - 34° = 146° 146° ÷ 2 = 73°
73
73°
73°
107°
107° because angles on a straight line add up to 180°
y = 180° - 107° - 38° = 35°
35
35°
No, because 38° is not equal to 35°. Therefore, it is not an isosceles triangle
![Page 12: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/12.jpg)
180° - 126° = 54° 54° ÷ 2 = 27°
27° 27° 153°
153° because angles on a straight line add up to 180°
Angles in a triangle add to 180°
27 153
![Page 13: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/13.jpg)
Base angles are the same in an isosceles triangle
80°
Angles in a triangle add to 180°
180° - 80° - 80° = 20°
20
Means work out angle A in triangle ABC
Means work out angle R in triangle PQR
Base angles are the same in an isosceles triangle
70°
Angles in a triangle add to 180°180° - 70° - 70° = 40°
40°
A right angle is 90°90° - 40° = 50°
50°
Both base angles are equal180° - 50° = 130° 130° ÷ 2 = 65°
65°65°
65
![Page 14: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/14.jpg)
180° - 48° = 132° 132° ÷ 2 = 66°
66° 66°
Angles on a straight line add to 180°
180° - 66° = 114°114°
114
A quadrilateral is made up of two triangles
Angles is a triangle add up to 180°180°
180° 180° + 180° = 360°
![Page 15: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/15.jpg)
LEARN OFF BY HEART
(because the exterior angles add up to 360°)
Exterior angle = 72°
72°
Two exterior angles joined
togetherAs worked out in part (a)
72°
144
![Page 16: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/16.jpg)
All the angles and sides are the same in a regular pentagon
LEARN OFF BY HEART
Exterior angle
Exterior angle
Exterior angle
Exterior angle
Exterior angle
= 72°
72°
72°
72°
72°
72°
Interior angle
Angles on a straight line add up 180° Interior angle = 180° - 72° = 108°
108°
Base angles in a isosceles triangle are the same 180° - 108° = 72°
36°
36°
36
![Page 17: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/17.jpg)
LEARN OFF BY HEARTInterior angle
Exterior angle
Angles on a straight line add up 180°
Exterior angle = 180° - 162° = 18°
= 20
20
![Page 18: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/18.jpg)
Decagon Pentagon
Interior angle
Sum of interior angles of an decagon = (10 – 2) x 180°
Sum of interior angles = (number of sides – 2) x 180°
LEARN OFF BY HEART
= 8 x 180° = 1440°
= 144°
144°Interior angle
Sum of interior angles of a pentagon = (5 – 2) x 180°= 3 x 180° = 540°
= 108°
108°
Angles around a point add up to 360°
360° - 144° - 108°= 108°
Base angles in a isosceles triangle are the same
180° - 108° = 72° 72° ÷ 2 = 36°
144°
144° + 36° = 180° (Angles on a straight line add up to 180°) Therefore, ABC lie on a straight line
![Page 19: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/19.jpg)
Hexagon
Square
Square
Sum of interior angles = (number of sides – 2) x 180°
LEARN OFF BY HEART
Sum of interior angles of an hexagon = (6 – 2) x 180°= 4 x 180° = 720°
= 120°
Interior angle120°
Angles around a point add up to 360°
360° - 120° - 90° - 90°= 60°
60°
Base angles are the same
180° - 60°= 120° 120° ÷ 2 = 60°
60°60°
Therefore, as all angles are 60° AHJ is equilateral
![Page 20: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/20.jpg)
Sum of interior angles = (number of sides – 2) x 180°
LEARN OFF BY HEARTSum of interior angles of an octagon = (8 – 2) x 180° = 6 x 180° = 1080°
= 135°
135
= 135° As worked out in part (a)
135°
135°
135°
135° 135°
135°
135°
135°
Angles around a point add up to 360°
360° - 135° - 135° = 90°
Therefore, as all angles are 90° PQRS is a square
![Page 21: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/21.jpg)
2.5 -1
![Page 22: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/22.jpg)
Alternate angles are equal
40°
Angles on a straight line add up 180°
180° - 110° = 70°
70°
Angles in a triangle add up 180°
180° - 40° - 70° = 70°
70°
As both base angles are 70°, triangle BEF is isosceles.
![Page 23: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/23.jpg)
55°
Alternate angles are equal
Angles in a triangle add up 180°
180° - 70° - 55° = 55°
55°
As both base angles are 55°, triangle ABC is isosceles.
![Page 24: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/24.jpg)
41°
41
Interior angles add up to 180°
180° - 67° = 113°
113°
113
![Page 25: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/25.jpg)
2
Perimeter of rectangle A =
Perimeter is the length around a
shape
14cmPerimeter of rectangle B = 16cm Difference = 16cm - 14cm
2
OTHER ANSWERS
ALSO ALLOWED
4cm
4cm
3cm3cm
6cm
2cm
6cm
2cm
![Page 26: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/26.jpg)
6cm
6cm
4cm4cmPerimeter is the length around a
shape
Perimeter of rectangle = 6cm + 4cm + 6cm + 4cm
20
Square has 4 equal sides
3cm for each side
![Page 27: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/27.jpg)
x
x
x
x
OTHER ANSWERS
ALSO ALLOWED
Because two lengths of 12cm makes 24cm which is more than the perimeter
As evident from the rectangle drawn for part (a)
![Page 28: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/28.jpg)
40cm
1cm
40cm
1cm
20cm
2cm
20cm
2cm
10cm
4cm
10cm
4cm
8cm
5cm
8cm
5cm
Find the only rectangle which has a perimeter
of 26cm
85
![Page 29: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/29.jpg)
Kilo means a thousand
1km = 1000m
1000m
Area = Length x Width
= 1000m x 10m
Split compound shape into two rectangles
Rec
tan
gle
A
Rectangle B
200m
Area of rectangle A = 100 x 30
Area of rectangle B = 200 x a 200a + 3000 = 10000
200a = 7000 35
![Page 30: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/30.jpg)
Count the number of squares to find the area
C B E
![Page 31: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/31.jpg)
Shaded Area = Area of square – Area of circle
Area of square = length x width= 80cm x 80cm
Area of circle = = 3.14 x 30cm x 30cm
Area shaded = 6400 - 28263574
LEARN THE FORMULAE OFF BY HEART
![Page 32: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/32.jpg)
equal to (because the length around the shape is the same)
less than (because more than half the rectangle is unshaded)
![Page 33: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/33.jpg)
Shaded Area = Area of big square ABCD – Area of the 4 congruent (identical) triangles
10cm
10
cm
Area of big square = length x width= 10cm x 10cm
Area of one triangle =
Area of one triangle =
Area of one triangle = Area of four triangles =
Shaded area =
82
![Page 34: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/34.jpg)
Area of small square = 30cm x 30cm
900
Length of large square = 50
Area of floor = 300cm x 180cm
Number of small tiles needed =
Number of small tiles needed =
60
![Page 35: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/35.jpg)
Perimeter is the length around a
shape
Perimeter of D = 2cm + 2cm + 2cm + 2cm
8
Perimeter A = 10cmPerimeter B = 9cm
Perimeter C = 10cm
A and C
Area is the space inside a shapeC and D
![Page 36: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/36.jpg)
Shaded Area = Area of big square – Area of two smaller squares
Area of big square = length x width = 12cm x 12cm Area of one small square = length x width = 4cm x 4cm Area of both squares = Shaded Area =
Area of big square = length x widthArea of one small square = length x widthArea of both squares = Shaded Area =
Fraction shaded = Shaded
![Page 37: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/37.jpg)
6
![Page 38: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/38.jpg)
A, B and E
![Page 39: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/39.jpg)
![Page 40: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/40.jpg)
2 2
1
2
1
1
![Page 41: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/41.jpg)
![Page 42: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/42.jpg)
3
Volume is the space inside the box (number of centimetre cubes that will fit in)
8 cubes 8 more cubes required to fill box
8 cubes + 8 cubes = 16 cubes
16
![Page 43: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/43.jpg)
Volume = length x width x height
48 = length x width x height8 x 2 x 3
Length Width
Height
8 x 74 2 x 74 3 x 108592 148 324
Round the answers
600 150 330
![Page 44: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/44.jpg)
5cm
4cm
Volume of a cuboid = length x width x height
Volume of cuboid = 5 x 3 x 4
Volume of cube= 2 x 2 x 2
= 7.5
7
![Page 45: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/45.jpg)
Volume of a cuboid = length x width x height
Volume of cuboid = 30 x 12 x 4
1440 3
Amount of paint = 10 x 30
93
![Page 46: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/46.jpg)
Volume of cylinder = area of circle x length
LEARN
LEARN
Volume of cylinder = 3.14 x 3 x 3 x 10
Amount of glasses filled = 14.2 14
![Page 47: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/47.jpg)
Cuboid A Cuboid B
Volume of cuboid A = length x width x height
Volume of cuboid A = 20 x 20 x 15
d x 20 x 20 = 7000
400d = 7000
d = 17.517.5
![Page 48: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/48.jpg)
radius
Volume of cylinder = area of circle x length
0.5cm
![Page 49: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/49.jpg)
x
x
x
![Page 50: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/50.jpg)
6 RIGHT
6 DOWN
6 RIGHT
6 DOWN
6 RIGHT
6 DOWN
6 RIGHT
6 DOWN
( )6-6
180° either clockwise or anticlockwise from the origin (0,0)
![Page 51: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/51.jpg)
2 RIGHT
4 DOWN
2 RIGHT
4 DOWN
2 RIGHT
4 DOWN
(because it’s half the size)
-2 -1
![Page 52: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/52.jpg)
Rotation 180° either clockwise or anticlockwise from the origin (0,0)
![Page 53: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/53.jpg)
2 RIGHT
3 DOWN
2 RIGHT
3 DOWN
2 RIGHT
3 DOWN
2 RIGHT
3 DOWN
2 RIGHT
3 DOWN
y = 1A B
C
![Page 54: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/54.jpg)
Identical
B F
A
2 (because shape A is twice the size of shape C)
Three times bigger
![Page 55: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/55.jpg)
= 2.4
= 2.5
The scale factor of enlargement for both respective sides must be equal.
![Page 56: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/56.jpg)
![Page 57: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/57.jpg)
PYTHAGORAS’ THEOREM
Hypotenuse
6.5
![Page 58: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/58.jpg)
Angles in a triangle add up to 180°
90°
100°
A
Pythagoras’ Theorem only works in right angles triangles.
![Page 59: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/59.jpg)
3.2
PYTHAGORAS’ THEOREM
![Page 60: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/60.jpg)
Angles in a triangle add up to 180°
8.7
m
45°
45° angle forms an isosceles triangle. Both base length and height length of the triangle are the same.
Height of pole = 8.7 + 1.45
10.15
1m
5
![Page 61: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/61.jpg)
Not the hypotenuse
PYTHAGORAS’ THEOREM
![Page 62: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/62.jpg)
(a)
1.8
4.4 (Any value from 4.3 – 4.8)
![Page 63: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/63.jpg)
£1 100p So £10 1000p
= 500
Weight of all the 2p coins = 500 x 7 = 3500g 1kg = 1000g
3.5
![Page 64: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/64.jpg)
= 2
72 74 7678
76
= 10
310
320
330
340
350
360
370
380
390
340
= 2
82
84
86
88
87
![Page 65: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/65.jpg)
cm or mm
litres
tonnes
![Page 66: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/66.jpg)
LEARN
Distance = Speed x Time 1.75hours
Distance = 80 x 1.75
140
2h 15mins 135mins
Stage 2 Distance = 190 - 140 = 50km
Stage 2 Time = 2h 15mins – 1h 45mins = 30mins = 0.5hour
÷0.5 is the same as multiplying by 2
100
![Page 67: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/67.jpg)
LEARN
45
LEARN3h 30mins 3.5hours
57.1
![Page 68: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/68.jpg)
LEARN
Time = 5.2 hours
0.2 hour = 0.2 of 60mins
÷
x
= 12mins
5 12
![Page 69: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/69.jpg)
NW
C
÷
x
2
N
055
Must be written as 3 figures
![Page 70: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/70.jpg)
A
B
Scale: 1 cm represents 10 k ilom etres
![Page 71: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/71.jpg)
037°180°
110°
290°
6.2 cm 6.2 cm x 5
31
![Page 72: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/72.jpg)
C
![Page 73: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/73.jpg)
026
26°
180°
115° 295°
295
![Page 74: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/74.jpg)
![Page 75: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/75.jpg)
L M
equidistant from two fixed points.
![Page 76: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/76.jpg)
![Page 77: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/77.jpg)
6.5cm
43°
![Page 78: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/78.jpg)
![Page 79: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/79.jpg)
Shade in the area in side the curves but out to sea (not many boats in distress on land!)
![Page 80: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/80.jpg)
Circumference is the full length around a circle
Circumference = π x diameter
Diameter
Circumference = 3.14 x 8 Circumference = 25.12cm
Length of arc (semi-circle) = 25.12 ÷ 2 = 12.56cm
Perimeter = 12.56cm + 8cm = 20.56cm (2 d.p.)
(Total 3 marks)
![Page 81: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C · PDF fileSum of interior angles of an octagon = ... shape 14cm Perimeter of ... 3cm 3cm 6cm 2cm 6cm 2cm. 6cm 6cm 4cm 4cm Perimeter is](https://reader034.fdocuments.in/reader034/viewer/2022042507/5aabdccf7f8b9a59658c6676/html5/thumbnails/81.jpg)
Volume of prism = area of cross-section x length
Volume of prism = area of triangle x length
Volume of prism = base x height
2x length
Volume of prism = 4 x 3
2x 20
Volume of prism = 6 x 20
120