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EVERYTHING YOU NEED TO KNOW TO GET A GRADE C GEOMETRY & MEASURES (FOUNDATION) Part 2

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2 2 1 2 1 1

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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

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Volume = length x width x height 48 = length x width x height 8 x 2 x 3 Length WidthHeight 8 x 74 2 x 74 3 x 108 592 148 324 Round the answers 600 150330

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5cm 3cm 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

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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

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Volume of cylinder = area of circle x length LEARN Volume of cylinder = 3.14 x 3 x 3 x 10 Amount of glasses filled = 14.2 14

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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 = 17.5 17.5

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radius Volume of cylinder = area of circle x length 0.5cm

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x x x

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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)

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2 RIGHT 4 DOWN 2 RIGHT 4 DOWN 2 RIGHT 4 DOWN (because it’s half the size) -2

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Rotation 180° either clockwise or anticlockwise from the origin (0,0)

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2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN y = 1 A B C

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Identical B F A 2 (because shape A is twice the size of shape C) Three times bigger

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= 2.4 = 2.5 The scale factor of enlargement for both respective sides must be equal.

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PYTHAGORAS’ THEOREM Hypotenuse 6.5

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Angles in a triangle add up to 180° 90° 100° A Pythagoras’ Theorem only works in right angles triangles.

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3.2 PYTHAGORAS’ THEOREM

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Angles in a triangle add up to 180° 8.7m 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

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Not the hypotenuse PYTHAGORAS’ THEOREM

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(a) 1.8 4.4 (Any value from 4.3 – 4.8)

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£1 100p So £10 1000p = 500 Weight of all the 2p coins = 500 x 7 = 3500g 1kg = 1000g 3.5

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= 2 72 7476 78 76 = 10 310 320 330 340 350 360 370 380 390 340 = 2 82 84 86 88 87

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cm or mm litres tonnes

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LEARN Distance = Speed x Time 1.75hours Distance = 80 x 1.75 140 2h 15mins135mins 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

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LEARN 45 LEARN 3h 30mins3.5hours 57.1

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LEARN Time = 5.2 hours 0.2 hour = 0.2 of 60mins ÷ x = 12mins 5 12

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NW C ÷ x 2 N 055 Must be written as 3 figures

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REGION

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37° 180 ° 110 ° 290 ° 6.2 cm 6.2 cm x 5 31

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C

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026 26° 180° 115° 295° 295

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L M equidistant from two fixed points.

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6.5cm 43°

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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)

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Volume of prism = area of cross-section x length Volume of prism = area of triangle x length Volume of prism = base x height 2 x length Volume of prism = 4 x 3 2 x 20 Volume of prism = 6 x 20 120

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