Learning outcomes

ALL MUST show an appreciation for exam practise.

MOST SHOULD be able to recall simple facts that have been covered this year using old books for support

SOME COULD extend their learning with independent use of past papers (levelled)

EXAM TIPSMake sure you have your own calculator Make sure you know how long each paper is and what time the exams start & finish

Make sure you know what level you are sitting Make sure you have all the correct equipment Make sure you review old notes and make new revision notes & cards.

Make sure you PRACTISE PRACTISE PRACTISE

Learning outcomesNumber

Ensure you know how to use your calculator for simple operations…..

22 138

9.67.15.4

233

7.38

Learning outcomesNumber

Try these…..

22222 54321

522816

40

5.218196

Learning outcomesCalculate the volume of the prism

10cm

12cm

9cm

A = (12 x 9) ÷ 2

= 54cm²

V = 54 x 10 = 540cm³

Learning outcomesAlgebra

Simplify….

(a) a + 4a + 3b

(b) 7a – 4b + 3b + 5

(d) y × y

(e) 2p × 3p

(c) m + 3 - 2m + 9

= 5a + 3b

= 12 – m

= 7a – b + 5

= y²

= 6p²

Learning outcomesAlgebra

Factorise….(a) 4k + 8

(b) k² - 5k

(d) x² - 9

(e) x² + 6x + 8

(c) 4p³q + 2pq

= 4(k + 2)

= 2pq(2p² + 1)

= k(k – 5)

= (x + 3)(x – 3)

= (x + 2)(x + 4)

Learning outcomesAlgebra

x + 2

2x

Form an equation then find x for each.

2x + 3

2x - 1

Perimeter = 78m

Perimeter = 47m

x

Learning outcomesAlgebra (level 6)

x + x + 6 + x – 2

James is x years old. His brother is 6 years older. His friend Sam, is 2 years younger than James.

What is their total ages in algebra?

= 3x + 4

Learning outcomesAlgebra (level 6)

The three boys ages add up to 31.How old must James be?

3x + 4 = 31

3x = 27

x = 9 Form an equation and solve it

Quadratic equations (B)Solve the following quadratic equation.

x² - 9x + 20 = 0

(x – 4)(x – 5) = 0

(x – 4) = 0 or (x – 5) = 0

x = 4 or x = 5

These two brackets multiply to make 0

Learning outcomesUsing Exact values

Find the exact area of the isosceles triangle.

3 3

2

Learning outcomesPythagoras and Quadratics

(i) Show that x² - 4x - 12 = 0

(i) Solve the equation x² - 4x - 12 = 0

A

C B

(x + 4)

(x + 2)

x

Learning outcomesFractions and area

The area of the square is 18 times the area of the triangle. Work out the perimeter of the square.

cm

cm 8

5

5

26

Learning outcomesBox and whisker diagramsDraw a box and whisker diagram for the following data.

Lowest value = 18

Learning outcomesExchange rates

Emma wants to buy a pair of headphones.In America, they cost $130.In the UK they cost £60 + 15% VAT.

The exchange rate is £1 = $1.74

Which country should she buy them in? 71.74£74.1130$

00.69£15.160 She should buy them in the UK

Learning outcomesReversing the mean

8 x 6 = 48

The mean of 8 numbers is 6. When an 9th number is added, the mean is now 7.What is the 9th number?

9 x 7 = 63

63 – 48 = 15

The 9th number is 15

total data items x mean = total

Learning outcomesAlgebraic fractions

Give that

62

3

x

qx

p2

x

xr

2

3

Simplify….(a) p + q(b) p - r

(c) p ÷ r

(d) q x r

Learning outcomesPrime factors

Give that 532720 yx

Find the values of x and y

Learning outcomesStandard form

Find the area and perimeter of this rectangle. Give your answers in Standard form.

4103

3104.2

Learning outcomesSurds

Simplify, leaving your answer in surd form where appropriate

14727

1218

(a)

(b)

Learning outcomesProbability – independent events

A spinner is spun three times. Calculate the probability that it will land on red once, green once and yellow once.

256

3

8

3

4

1

8

1)( RGYP

256

3

8

3

8

1

4

1)( GRYP

)()()(

)()()(

YGRPYRGPGRYP

GYRPRYGPRGYP

128

9

256

18

256

36)( anyRGYP

Learning outcomesSimultaneous equations

6x + 8y = 106x - 9y = 27

17y = -17

y = -1

x = 3

3x + 4(-1) = 5

3x – 4 = 5

3x = 9

Substitute…

Similar shapes

Circle Theorems Angle ABC in terms of y

Angle ABC = 180° – ½ y

Learning outcomesPrime numbers and prime factors

Write 360 as a product of its prime factors.

360

36 10

6 6 5 2

2 3

360 = 2 × 3 × 53 2

2 3

Learning outcomesData Handling

Two dice are rolled together. Find the probability of rolling a double.

Learning outcomesForming and solving equations

Calculate the perimeter of the triangle

3x – 5 = 19 - x

4x = 24

x = 6

P = 4x + 14P = 4(6) + 14P = 38

Learning outcomesData presentation

Learning outcomesTrigonometryFind the length of AB. Give your answer to 3sf.

A C

B

65°

6cm

AB

665cos

65cos

6AB

cmAB 2.14

Learning outcomesAlgebra & Number

Use trial and improvement to solve…. x³ + 3x = 40

Show at least four trials.Give your answer to 1 decimal place.

Learning outcomesPercentages

Matthew is buying a new laptop. The online price is 15% less than the normal price. If the online price is £459, calculate the normal price of the laptop.

£459 = 85%

£540 = 100%

£459 = 1% 85 Normal price is

£540

Learning outcomesTrigonometry

Show, using this triangle, why

cos 60° =

A C

B

60°

3cm

5

3

4cmFind also ;

Sin 60° =

Tan 60° =

5

4

3

4

5cm

Data Handling

0.7

0.3

0.4

0.6

0.4

0.6

0.7 x 0.4 = 0.28

0.7 x 0.6 =

0.3 x 0.4 =

0.3 x 0.6 =

0.42

0.12

0.18

F

NF

V

NV

NV

V

Answer 0.82

Learning outcomesTrigonometry (A*)

Find the area of this triangle

6cm

4cm C

A

B

45°

CabA sin2

1

A = ½×4×6×sin 45°A = 12 × sin 45°

A = 8.5cm²