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You are going to make a chocolate cake for some friends.

1. You are going to make a chocolate cake for some friends. Find out: how much of each ingredient you need The oven temperature and cooking time The size of the cake The number of friends you can invite. 2. The number of portions you can make is the 5 th triangular number. ? . 1. 3.

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You are going to make a chocolate cake for some friends.

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  1. 1 You are going to make a chocolate cake for some friends. • Find out: • how much of each ingredient you need • The oven temperature and cooking time • The size of the cake • The number of friends you can invite.

  2. 2 The number of portions you can make is the 5th triangular number. ? 1 3 6

  3. 3 You need ‘y’ grams of plain chocolate y is proportional to the cube of x y = 432 when x = 6 Find y when x = 5 to find out how much chocolate you need ! y x3 Find k  y = kx3

  4. 4 The amount of butter in grams is the 15th term in this sequence Square numbers ~ find 152 1 , 4 , 9 , 16 , ……..

  5. 5 Simplify to find the number of eggs • 875 • 35 35 = (5  7) = 5  7 = 57

  6. 6 Three sides of a triangle measure: 15cm , 36cm and 39cm. What is the largest angle ? The size of this angle in degrees is the number of grams of caster sugar you need. A triangle Pythagoras’ theorem

  7. 7 • Ingredients List: • Plain chocolate • Butter • Eggs • Caster sugar • Cocoa powder • Vanilla essence …but how much of each do you need?

  8. 8 Angle ABC (in°) is the amount of cocoa in ml Circle centre = O Angle OAC = 75 B O C Cocoa ! A The angle at the centre is twice the angle at the circumference

  9. 9 The volume of this pyramid is 803 cm3 The base of this pyramid is a regular hexagon with side lengths of 4cm Vanilla essence The amount of vanilla essence in ml is the same as the perpendicular height of the pyramid in cm. Pyramid volume = 1/3  base area  perpendicular height Regular hexagon = 6 equilateral triangles

  10. 10 x is the gas mark temperature for baking the cake 2 + 1 = 7 x + 1 x + 2 10 (you are looking for the positive solution…obviously) ((otherwise the cake wouldn’t cook!)) 3 + 4 = 3(x + 1) + 4(x) xx+1 x(x + 1) = 7x + 3 x(x + 1) An example to start you off !

  11. 11 The height of the tin is 15cm 15cm The surface area of the baking tin (sides and base) is 504 cm2 Find the diameter of the cake h + r2 2r

  12. 12 x is the cooking time in minutes sin x = 1 2 45 1 SOH CAH TOA 45 1

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