Decision Failure!! Don’t Try Try Success!! Don’t get it! Get it!

DecisionFailure!!Don’t Try

Try

Success!!

Don’t get it!

Get it!

Addition

1) Line it up!!!

Subtraction

1) Line it up!!2) Put zeros in the gaps.3) If the top is smaller borrow.

Multiplication

Division

Dracula must suck blood!!!DivideMultiplySubtractBring down

Square Numbers

1 x 1 = 12 x 2 = 43 x 3 = 94 x 4 = 165 x 5 = 256 x 6 = 36 (Dirty Tricks)7 x 7 = 49 (Porcupine)8 x 8 = 64 (He ate and ate till he was sick on the floor!)

9 x 9 = 81 (Use your fingers)10 x 10 = 10011 x 11 = 121 (one two one)12 x 12 = 144 (knock on the door)

Prime Numbers

1) Is it even? (Apart from 2)2) Does it end in 0 or 5? (Apart from 5)3) Is it in the 3 timestables? (Apart from 3)4) Is it in the 7 timestables? (Apart from 7)

If the answer is no to all of the these the it is prime!!

Multiples

The timestables for a number.Eg:Multiples of 30 1 x 30 = 302 x 30 = 603 x 30 = 904 x 30 = 120

Doubling

1) Split it up2) Double3) Add

EG: 248

200 40 8

400 80 16

400 + 80 + 16 = 496

(Split it up)

(Double)

(Add)

Halving

1) Split it up2) Halve3) Add

EG: 248

200 40 8

201 20 4

100+ 20+ 4= 124

(Split it up)

(Halve)

(Add)

x by 10, 100, 100 etc.

1) Does it get bigger or smaller? (÷ = smaller/ x = bigger)

2) By how many spaces? (Depends on how many 0’s there are eg: 10 by 1 space, 100 by 2 spaces etc)

3) All the numbers must stay together as they move up or down the …………………………..

Percentage of a number

100% = 40050% = 200 (Half)25% = 100 (Half 50%)10% = 40 (5% = (Half 10% or ÷ 50% by 10)1% = (÷ by 100)

Fraction of a number

1) Divide by the bottom, times by the top.

EG: 3/5 of 7575 ÷ 5 = 1515 x 3 = 45

BODMAS

1. Brackets2. Order3. Divide4. Multiply5. Add6. Subtract(Must be done in this order)

Ratio

(ADaM) Add, Divide and Multiply.

For every 2 green paint there is 3 red paint. Altogether there are 125 pots of paint. How many are green and red?1) Add (Add the ratios, 2 + 3 = 5)2) Divide (Divide the answer into the total 125 ÷ 5 = 25)3) Multiply (Multiply the answer by the original ratios,

2 x 25 = 50 green, 3 x 25 = 75 red)

Area and Perimeter

1) Area = L x W = A

2) Perimeter = Add ALL the sides up.

Rounding

• Look at the number after the number you are rounding to.

• If it is 1, 2, 3 or 4 then leave the number as it is. • If it is 5, 6, 7, 8 or 9 then add 1 onto the number.• 23.4=23 (To nearest whole number)• 56.8=60 (To nearest 10)• 142.5=100 (To nearest 100)

Basic Algebra

• If the number is beside the letter, remember to multiply.

• EG: x = 43x + 7 = (3 x 4) + 7 = 12 + 7 = 19

Conversion of Units of measure

If you are not sure of the conversion go for 1000.Eg: 1kg=1000g

1Litre=1000ml1km=1000m1m=1000mm

Apart from that remember:1m=100cm1cm=10mm

Equivalent Fractions

• What ever you do to the bottom do to top, whatever you do to the top do to the bottom.

x2 ÷3EG: 1 2 4 12

3 6 5 15 x2 ÷3

Co-ordinates

Along the corridor and up the stairs.X axis = across (like a cross)Y axis = up and down (Y to the sky)

(3, 4) = First number is always the X axis.Second number is always the Y axis.

Reflection (with tracing paper)

1) Draw mirror line (In full!)2) Draw shape3) FLIP!!!!4) Line up mirror line.5) Draw over shape.Or Draw, flip, Draw

Rotation (with tracing paper)

1) Draw shape2) Identify and draw rotation point (Very

important!)3) Rotate the desired amount (Eg: Clockwise 90

degrees)4) Draw shape in new position.

Translation (with tracing paper)

Shape does not rotate, get bigger/smaller, it simply moves.

1) Draw shape and a point on the shape.2) Move the shape across and/or up of down to

new position.3) Redraw in new position.

Fractions/ Decimals/ PercentagesFractions Decimals Percentages

½ 0.5 50%

¼ 0.25 25%

1/8 0.125 12.5%

1/3 0.333 33.3%

1/5 0.2 20%

1/10 0.1 10%

1/100 0.01 1%

Regular Polygons

Regular = All sides the same/ all angles the same.Sides Regular Shape Angle sizes

3 Equilateral Triangle 60 degrees

4 Square (Regular Quadrilateral) 90 degrees

5 Pentagon -----------------------

6 Hexagon -----------------------

7 Heptagon -----------------------

8 Octagon -----------------------

Degrees in a triangle

There are 180 degrees in a triangle.

Straight line

There are 180 degrees in a straight line.

Full Circle

There are 360 degrees in full circle.

Averages

Hey diddle diddle, the medians the middle,You add and divide for the mean, The mode is the one that you see the most, And the range is the difference between. (The biggest and the smallest)

Different TrianglesTriangle Type Properties

Right angle triangle Has one right angle (Why can’t it have 2?)

Equilateral triangle All sides and angles (60°) are the same.

Isosceles triangle Two sides and 2 angles the same size.

Scalene triangle All sides and angles are different.

Different Quadrilaterals (4 sided)Quadrilateral Properties Example

Square Parallel: 2 setsPerpendicular (right angles): 4 Lines of symmetry: 4Angles: 4 Right angles

Rectangle Parallel: 2 setsPerpendicular: 4Lines of symmetry: 2Angles: 4 Right angles

Rhombus Parallel: 2 sets Perpendicular: 0Lines of symmetry: 2Angles: 2 acute/ 2 obtuse

Parallelogram Parallel: 2 setsPerpendicular: 0Lines of symmetry: 0Angles: 2 acute/ 2 obtuse

Trapezium Parallel: 1 setPerpendicular: depends if there are ant right angles of not. (use protractor)Lines of symmetry: Depends on shape (use mirror to see)

Different Types of anglesQuadrilateral Properties Example

Acute Less than 90°

Obtuse More than 90° but less than 180°

Reflex More than 180°

Straight line 180°

Right angle 90°(Use a protractor to check if it a right angle or not!)

Line Graphs

1) Always use a ruler!2) Write on the increments between numbers.

Time

1) Remember 60 minutes = 1 hour.2) Use a number line to work out differences between times.EG:

8:35 12:079:00 12:00

+25mins +3 hrs +7mins= 3hrs 32mins

8:35 11:35 11:55

+3hrs +20mins

orAdd 3hrs 20mins to 8:35.

Negative Numbers

1) Think of a Thermometer…

EG: Difference in temperature betweenLondon 12°C and Moscow -4°C is?Or…Add on till you get to 0 from -4 (4),then add on from 0 to 12 (12) and add the 2 answers = 16

Lowest Common Multiple(LCM)

What is the smallest number in these numbers timestables?EG: 6 and 20?1) Do the timestables for the biggest number and

see which one is in both their timestables.20, 40, 60 60 is a multiple of 6 and of 20. So the LCM is 60.

Highest Common Factor (HCF)

What is the biggest common factor that fits into the set of numbers?EG: 8 and 12? Factors of 8 = 1, 8, 2, 4.Factors of 12 = 1, 12, 2, 6, 3, 4.

Ordering Fractions1) Find the Lowest Common Multiple (LCM).2) Turn all the fractions into the equivalent fractions.(Remember what ever you do to the bottom do to the top)

3) Then order. Easy!EG: , , , , LCM = (Look at the biggest number) x5 x2 x4 x10 x5 10, 20

, , ,,

5 4 2 3 1 (Order) , , , , (Answer)

Reducing Fractions

1) If you can half both the numbers do so.2) Find a factor of both the numbers and divide

the top and bottom by this number. 3) If there is no other common factors, apart

from 1, you are done.

Measure with a Protractor1) Always ask yourself first, “Bigger or smaller

than 90°?”2) Make sure the centre of the protractor is

lined up with the angle with one of the lines along the zero line.

Draw an angle with a Protractor1) Always ask yourself first, “Bigger or smaller

than 90°?”2) Draw a straight line.3) Put the centre of your protractor at the end

of the line, along the zero line.4) Work round to correct angle size (Remember,

“Bigger or smaller than 90°?”)5) Put a dot a the angle size.6) Join the end of the line and the dot.

Probability1) Always write down probability as a fraction.This will help you answer the questions.

Number Probability of Selection

1 2/9

2 5/9

3 1/9

4 1/9

Pie Charts

Inverse Operation