fractions, decimals f

12

24

48= =

Fractions which areequal in value.

SIMPLIFYING FRACTIONS

Find the highestcommon factorwhich you can divideinto the numerator &the denominator.Writing the fractionusing the smaller numbers.

13=

÷3

÷3

39

TYPES OF FRACTIONS

x+3 3

412 + 3

4154= =

CONVERT MIXED FRACTION IMPROPER FRACTIONMultiply the whole number by the denominator and then addthe numerator.

CONVERT IMPROPER FRACTION A MIXED FRACTIONDivide the numerator by the denominator.

÷223

137=

7 r 1

EQUIVALENT FRACTIONS

FRACTIONS

23

DENOMINATOR

NUMERATORNUMERATORThe number at the top of the fraction,how many parts are used.

DENOMINATOR The number at the bottom part of the fraction,how many parts there are in total.

IMPROPERFRACTION A fraction that isgreater than 1.Numerator biggerthan denominator.

223

PROPERFRACTION A fraction that isless than 1.Numerator smallerthan denominator.

13

MIXEDFRACTIONWhole number and aproper fraction combined.

WHOLENUMBER

Properfraction

1 12 3 3

4or

FRACTIONS, DECIMALS& PERCENTAGES F

FRACTIONS OF AN AMOUNT

14 =of 20 20 ÷ 4 = 5

÷

FRACTIONS, DECIMALS& PERCENTAGES FFRACTIONS, DECIMALS& PERCENTAGES F

Multiply across & simplify.

Flip the second fraction and multiply.

45 4÷ = 4

541÷

89

16÷ 8

961x= 16

3= =3

2

25

49X

x

x

Can’t beUKORNKƂGF

DIVIDING FRACTIONS

MULTIPLYING FRACTIONS

Change the fractions so theyall have the same denominator.You can do this by multiplyingor dividing.

Order the following fractions.

It’s easy to order them now!

1920

Step 2

Step 1

x5

x5

34

34

1520=

x2

x2

710

710

1420=

20 parts

14

= 5

COMPARING ANDORDERING FRACTIONS

DIFFERENT DENOMINATORDifferent denominator – make the denominator the same by finding acommon multiple. Don’t forget to simplify!

÷4

÷4

= =+24

56

3 + 56

1

2

ADDING AND SUBTRACTING FRACTIONS

=1820

620

1220 = 3

5

845=

=+12

56

86 = 2

61 = 131

x3

x3

smallest largest

Simplest form

1

1

1

1

712

x5

x5

x3

x3==2

3715

15

10 - 315

Can’t beUKORNKƂGF

57

15X = 1

7x

x

98= 1

81=3

8 3X = 38

31X

x

x

135

45

14x=

x

x

15=

SAME DENOMINATOR Same denominator – add or subtract across, denominatorstays the same.

=++2

12512

1920

, ,, ,

34

710

£50 ÷ 5 = £10£10 x 2 = £20

25

of £50x÷ 1 part

Copyright © 2016 by


PERCENTAGES

Percent % means out of 100.A way of writing a fraction with a denominator of 100.

FINDING % OF A NUMBER

METHOD 1 - FIND 1% Divide by 100.

= 42% = 2%42100

0.02 =0.42 = 2100

METHOD 2 - FIND 10% Divide by 10.

35% x 65g1% = 0.65g35% = 35 x 0.65g

Find 35% of 65g. Find 70% of 25g.

Find 15% of 500g0 6 5 3 5

3 2 51 9 5 02 2 7 5

x

+1

231 1

.

.

3.591.242.35

-98.71613.90784.809

-

Line the numbers up with the decimal point on top of each other.

ADDING DECIMALS SUBTRACTING DECIMALS

ADDING &SUBTRACTING DECIMALS

DIVIDE USING LONG DIVISIONAdd decimal points at the end.

Divide without decimal point.

Count how many digits are after the decimal points in both numbers.

19.2 ÷ 5number of decimal places = 1

Add decimal points back in.

192 ÷ 5 = 38

DIVIDING DECIMALS

number of decimal places = 1

MULTIPLYING DECIMALS

A number that contains adecimal point. Decimalpoint is between theones and tenths.

Digits before the decimalare whole numbers anddigits after the decimalpoint are part of a number.

H

2 2 0 . 5 3T O t. h

wholenumbers

part of anumber

ROUNDING TO NEAREST:

- tenths: 1 decimal place1 digit after the decimal

- hundredths: 2 decimal places2 digits after the decimal

- thousandths: 3 decimal places3 digits after the decimal

ROUNDING DECIMALS

DIGIT AFTER5 or more round up Less than 5 round down

2.315 2.32rounded to the nearest hundredth

2.315

2.315

2.315

Check 1st digit, 2nd digit, 3rd digit…Put a 0 where there are any missing digits.

COMPARING DECIMALS

2.32 0.34 0.22 2.56 2.37 0.304

0.22 , 0.304 , 0.34 , 2.32 , 2.37 , 2.56

0.34 0.22 0.304 all start with 0

From smallest to largest

Go to 2nd digit, 2 is the smallest so 0.22 is the smallest

2.32 0.34 0.22 2.56 2.37 0.304

2.32 0.34 0.22 2.56 2.37 0.304

DECIMALS

FRACTIONS, DECIMALS& PERCENTAGES F

Step 1

MULTIPLY NORMALLYAdd decimal points at the end.

Multiply without decimal point.

Count how many digits are after the decimal points in both numbers.

Add decimal points back in.

25 x 13 = 325

0.25 x 1.3number of decimal places = 3

2 5 1 3

7 52 5 3 2 5

x

+

number of decimal places = 3

Step 1

Step 2

Step 3

Step 2

Step 3

1_1

3_4

1_2

1_3

1_4

1_5

1_8

1_10

1_100

1.0

100% 75% 50% 33% 25% 20% 12.5% 10% 1%

0.75 0.5 0.33 0.25 0.2 0.125 0.1 0.01

Fractions

Percentage

Decimals

0.9 =

DECIMALS TO FRACTIONS

910

561000.56= 9

10000.009 =

FRACTIONS TO DECIMALSDivide numerator by denominator.

28 = 2 ÷ 8 or = 0.25÷

% TO DECIMALDivide thedecimal by 100.

34 % to decimal

34 ÷ 100= 0.34

DECIMAL TO %Multiply thedecimal by 100.

0.4 x 100= 40%

0.4 to %

0.9 x 100= 90%

0.9 to %

FRACTIONS TO %Multiply the fraction to get thedenominator out of 10 or 100.

45 as a % 4

5=

= 80%

x 80100

x 20

x 20

CONVERTING FRACTIONS ->DECIMALS -> PERCENTAGES

0 t 0 t h 0 t h th

2 .2040 00 . 2 5

8

14

510

3100

1.232.503.73

+

Add orSubtract -you canadd 0’son the end

63.85121.04 84.891

+

FRACTIONS, DECIMALS& PERCENTAGES FFRACTIONS, DECIMALS& PERCENTAGES F

25

= 38.4

% TO FRACTIONSPlace wholenumber over 100.

34100

34% =

410

0.4 = 40100

= 0 t x 10

x 10

Find 1% or 10%and use thisinformation toƂPF�QVJGTpercentages.

x7

+half of 10%

70% x £2510% = £25 ÷ 10 = £2.5070% = 7 x £2.50 = £17.50

15% x 500g10% = 500 ÷ 10 = 50g5% = 25g15% of 500g = 50g +25g = 75g

35% = 22.75g

METHOD 3 - % TO FRACTION

20% = 15

20% of 40

15 of 40 = 40 ÷ 5 = 8

÷

METHOD 4 -% TO DECIMAL & MULTIPLY

30% of 150cm30% = 0.30.3 x 150cm = 45cm

38.4 3.84

325 0.325



RATIO

PROPORTION

Compares the sizes of 2 ormore numbers or amounts.

Ratio of circles comparedto squares 3 : 5

A box of pens has 4 blue pens forevery 5 black pens. Ratio would be:

If I bought 3 boxes,ratio would be:

3 5:

4 5:

12 15:

x 3

÷ 3

÷ 3

x 3

Compares part of a wholewith the whole amount.

What proportion of a class are boys?

1230

1830

+

The set of cubes below:

Proportion of grey cubes =

0.75 75% 912 3

4or or

0.25 25%or or

=

312

14

=

Proportion of blue cubes =

NUMBER SEQUENCES

The nth term rule lets you find out any term in the sequence.

Rule = n x 2 + 3 whichis written as 2n + 3

Term 1 2 3 45 7 9 11Number

14th number in the sequence would be:

3, 5, 7, 9...

Rach number in a sequence iscalled a term.

SEQUENCE

1st term 3rd term three dots meansgoes on forever(infinite)

(“term”, “element” or “member” meanthe same thing)

2nd term 4th term

A list of numbers that are placedin an order. They follow a patternaccording to a rule.

3, 7, 11, 15, 19...

RULE: ADD 4

The next number in thesequence would be 23.

+4 +4 +4 +4

ALGEBRA

speed = distance_______

time

How long does it take to getfrom London to Manchester(240miles) at a speed of60miles/hour?

USING FORMULAE

240time60 =

distancespeedtime =

24060time =

SCALE FACTORS

UNEQUAL SHARING

By how much a shape has been enlarged. We use ratios to scale up ordown. Enlargement is changing the size of a shape (not always bigger).

SCALE FACTOR OF 2Shape B is twice thesize of shape A.

Adam, Raj & Lucy receive 1,000g of chocolate between them.Adam gets 15%, Raj gets 0.35 and Lucy gets . How many grams do they each receive?

Shape A1

2

Shape B

8 x 3 = 24y = 24

Shape A Shape B

4

x

8 12

÷3

÷3 18

y

x3

SCALE FACTOR OF 3

=Check:£105 + £35 + £7 = £210 = £35210

2+1+3 210

6

Share £210 in the ratio 2 : 1 : 3

1_2

Check: 150g + 350g + 500g = 1,000g

12 ÷ 4 = 3Scale Factor = 3

18 ÷ 3 = 6x = 6

SOLVING EQUATIONS

y = 2p + 5 + fUsing a letter torepresent a valueor number.

USING FORMULAE

Area of a triangle = bh__2

height (h)= 9cm

base(b) = 5cm

+ = 78 = 72

= 6

= 12

ALGEBRA A

RATIO &PROPORTION R

ds t

1 part = £35

(2p = 2 x p)

Check: 72 + 6 = 78 Check:726

= 12_

Substitute the lettersfor the numbers.

Step 1

Step 2

1_2

(This ratio has been scaled up.)

When p=2 and f =6, what isthe value of y?

£35 x 2 = £70 : £35 : £35 x 3 = £1052 1: 3:= 0.4

= 4 hours

y = (2 x 2) + 5 + 6y = 4 + 5 + 6y = 15

Area = 5 x 92

452= = 22.5cm2

2n + 3(2 x 14) + 328 + 3 = 31

Adam = 15% of 1,000g = 150g 10% = 100g 5% = 50gRaj = 1,000g x 0.35 = 350gLucy = of 1,000g = 500g



COMPARING NUMBERS

3TM

2, 5 5 7, 2 2 2 . 3 3 1M, HTh TTh Th, H T O . t h th

4 2, 3 1 5TTh Th, H T O

2 5, 7 3 9TTh Th, H T O

2, 4 1 5 . 6Th, H T O . t

The value of a digit according toits position within a number.

PLACE VALUE

Less than < Greater than Greater than > Less than= Equal to

10 + 5 = 154 x 6 < 7 2

24 < 49

ROUNDING

x 10/100/1,000 &÷ 10/100/1,000

TIMES TABLES UP TO 121X

123456789101112

123456789101112

24681012141618202224

2

369121518212427303336

4812162024283236404448

51015202530354045505560

61218243036424854606672

71421283542495663707784

81624324048566472808896

918273645546372819099108

102030405060708090100110120

112233445566778899110121132

1224364860728496108120132144

3 4 5 6 7 8 9 10 11 12

MULTIPLICATION & DIVISION

ADDITION & SUBTRACTION

ADDITIONInverse of subtraction.

4 2 83 9 5+1 1

8 2 3

Negative Numbers

Decreasing

+ Positive Numbers

1 2 43 5 6 7 8 9 100 -10 -9 -8 -7 -6 -5 -3 -2 -1-4

Increasing

Number lines for counting negative numbers always help!Always include 0 when counting.

What is the difference between 5 and -7?Difference between 5 and -7 is 12.

1 2 43 50 -6-7 -5 -3 -2 -1-4= 12

The temperature is –25 °C. How much must it rise to be at -4 °C?

NEGATIVE NUMBERS

ROMAN NUMERALS

- A letter can only be repeated 3 times.- Roman Numerals are made up by adding or subtracting numbers.- If there is a smaller value number. before a bigger one, we subtract- If there is a smaller value number after a bigger one, we add.

1 = I 6 = VI 2 = II 7 = VII 3 = III 8 = VIII 4 = IV 9 = IX 5 = V 10 = X

50 = L 100 = C 500 = D 1,000 = M

1,000 + 50 + 10 + 6 = 1066

M L X V I

N

CALCULATIONS C

add

Round to nearestten = 25,740hundred = 25,700thousand = 26,000ten thousand = 30,000

5 1. 3 4 9 6T O. t h th tth

Round to nearestone = 51tenth = 51.3

Giving an approximate value to a number.

Look at the digit before:If it’s 5 or more round up If it’s less than 5 round downLook at the digit after the one youare rounding. If you are roundingto the nearest thousand, look atthe hundreds!

1 9 . 6 3 . 19.63 x 100 = 1963

1 9 . 6 3. 19.63 ÷ 100 = 0.1963

hundredth = 51.35thousandth = 51.350

- +

÷ 10/100/1,000 x number gets bigger /÷ number gets smallerMove the decimal point tothe right (x) or left (÷) by:1 place for 102 places for 1003 places for 1,000 etc...

x

SUBTRACTIONInverse of addition.

1 10 122 0 2

5 4-9

1 4 8

SumTotalPlusAltogetherIncrease

Similar terms

DifferenceDecreaseTake awayMinusLess

Similar terms

-25°C

+10 +10 +1 = 21°C

-15°C -5°C -4°C

NUMBER &PLACE VALUE

The order in which you work outdifferent operations within acalculation.

BIDMASbrackets ( )

indices X2 / X3

division ÷addition +

multiplication x

subtraction -

Numbers that have beenmultiplied by a given number.

The first 12 multiples of 6 are:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

MULTIPLES

A number made when you multiplya number by itself 3 times.

2 3 = 2x 2 x 2 = 85 3 = 5 x 5 x 5 = 125

A number made when youmultiply a number by itself.

2 2 = 2 x 2 = 49 2 = 9 x 9 = 81

ORDER OF OPERATIONS

CUBE NUMBERS

A number which only has 2factors; 1 and itself.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,37, 41, 43, 47, 53, 59, 61, 67, 71...

FACTORS

PRIME NUMBERS

SQUARE NUMBERS

Numbers which can divide into agiven number without anyremainders. 1 , 24

2 , 12

3 , 8

4 , 6

Factorsof 24 are

LONG MULTIPLICATIONInverse of division. Similar terms

Doubled, tripled…PerProduct ofTimesOf

6 1 2 2 4x

+2 4 4 8

1 2 2 4 1 4,6 8 8

moveoveronespace product

xx

==

6 2 4 4 quotient

dividend

divisor

Similar terms

Share equallyPartsSplitDistributeAverage

LONG DIVISIONInverse of multiplication.

01725 425

04225175175000

prime factors - a factor which is also a prime number.



COMPERIMETER

AREA OF TRIANGLE

Surface covered by a shape.Always ends in squared units(i.e. cm2 or m2).

AREA OF SQUARE &RECTANGLE= L x W

12

= x L x H

Height (H)

Length (L)

Height (H)

Length (L)

AREA OF PARALLELOGRAM= L x H

COMPOUND SHAPEA shape made up of 2or more other shapes.

Finding the perimeter whensides are missing:

AREA

Identify which lengths are missing.

Work out the missing lengths.

Calculate the perimeter by adding the lengths.

Length (L)

Width(W)4m

??

10m

12m

3m

4m

12m - 4m = 8m

12m

4m

7m8m

10m

12m

3m

TIME

24 hours = 1 dayDivided into two halves:first 12 hours = amsecond 12 hours = pm

hrs min

hrs min

min secs

min secs

x 60

÷ 60 ÷ 60

x 60

ANALOGUE / DIGITAL

CONVERTING TIME

1 millennium

1 century

1 leap year

1 week

1 day

1 hour

1 minute

1 year12 months /52 weeks /365 days

1,000 years

100 years

366 days

7 days

24 hours

60 minutes

60 seconds

12

67 58 49 310 2

11 00 132314221521

16201719 18

1

10m

3m

10m - 3m = 7m

CAPACITY

Amount contained within a space.Use beakers or measuring spoonsto measure: millilitre (ml), centilitre (cl), litre (L).

METRIC

1,000 ml = 1 L

10 ml = 1 cl

x 1000

x 10

IMPERIAL

1 litre 4.5 litresor 8 pints (approx.)

= 1.76 pints= 1 gallon 12,000 ml = 12 L

0.85 L = 850 ml

÷ 1000

x20 x20

x 1000

1 pint = 568 ml20 pints = 11,360 ml

MEASUREMENT

CIRCLE

kilo – 1,000 cent – 100

1,200 cm = 12 m 0.44 m = 44 cm

8 km = 5 miles56 km = 35 miles

÷ 100

x 100

LENGTH

The measure of distance from one end to another.Use tape measures/ rulers to measure: millimeter (mm),centimeter (cm), meter (m), kilometer (km).

IMPERIAL

8 km 1 inch1 foot

= 5 miles= 2.54 cm= 12 inches= 30 cm

METRIC

10 mm = 1 cm

100 cm = 1 m

1,000 m = 1 km

x 10

x 1000

x 100

IMPERIAL

1 pound (lb) =16 ounces

1 pound (lb) =453.6 grams

METRIC

1,000 mg = 1 g

1,000 g = 1 kg

1,000 kg = 1 tonne

x 1000

x 1000

x 1000

MASS

8,000 kg = 8 tonnes0.016 kg = 16 g

16 oz = 1 lb25 oz = 1 lb 9 oz

÷ 1000

x 1000

How much matter there is in an object, similarto weight. Weight can vary depending on whereyou are (such as on the moon), mass doesn’t vary.Use scales to measure: milligram (mg) , gram (g), kilogram (kg) , tonne.

CIRCLE

RADIUSDistance halfway across acircle; radius is always halfthe length of the diameter.

CENTRE POINTCentre point of a circle.

CIRCUMFERENCEDistance all the wayaround a circle.

DIAMETERDistance rightacross the middleof a circle.

VOLUME

MONEY

PERIMETER

The distance all the wayaround a flat shape.

PERIMETER= L + L + W + W= (2x L) + (2 x W) Length

(L)

Width (W)

Space taken up by a shape.Always ends in cubed units(i.e. cm3 or m3).

VOLUME OF A CUBOID= L x W x H

Height (H)

Width (W)

Length (L)

£1 = 100p

£ 2.15 pound

pence

CONVERTING MONEY

£1 = €1.4 (approx.)We use exchange ratesto convert money to different currencies.The rates are constantly changing.

p £÷ 100 x 100

£ p

12hr7pm1am

24hr19:0001:00

Step 1

Step 2

Step 3

milli – 1/1,000centi – 1/100

x7 x7

4 + 10 + 12 +3 + 8 + 7= 44m





A circular graph divided into segments,showing the proportion of differentamounts – just like a pie! Each segmentrepresents a fraction of the total amount.

PIE CHART HOW CLASS 7TRAVEL TO SCHOOL

other

WalkBike

CarOther Bus

STATISTICS S

LINE GRAPH

MEAN

TABLE

Used to plot a set of data over an amount of time.

554456567766

FebJan

MarAprMayJunJul

AugSeptOctNovDec

SAM’S SPELLING TEST MARKS OVER 1 YEAR

STATISTICS S

PICTOGRAM

Each image represents a number.

A pictogram to show the number ofgoals scored in 15 football matches.

0 goals

1 goal

2 goals

= 2 matches

= 5 matches

= 6 matches

= 4 matches

876543210

JanFeb

MarApr

MayJun

Jul

Months

Ma

rks

AugSept

OctNov

Dec

y

x

Step 1

Step 2

Answer

MEAN (AVERAGE)Sum of all values divided bynumber of values.

What is the mean of these 4 numbers?

7, 4, 11, 2

Add all values.7 + 4 + 11 + 2 = 24

÷ by the number.of values24 ÷ 4 = 6

The mean value is 6.

TEMPERATURE IN CAPE TOWN& MOSCOW OVER ONE WEEK

302520151050

-5-10-15

Mon Tue

Wed Thu

Fri

Sat

Sun

Day

Tem

pe

ratu

re (

°C)

Cape Town

Moscow

0901

0909

0918

0925

The table shows items sold at a cafe over a weekend.

Use the information alreadythere to complete the table.

Scone

67

33

100

Total

272

304

576

Coffee

104

79

183

Tea

60

41

101

Cake

41

151

192

Sat

Sun

TOTAL

80

70

60

50

40

30

20

10

00

5 10 15 20 25 30 35Time (minutes)

Tem

pe

ratu

re (

°C)

40 45 50

y

x

As time passesthe temperatureof the drinkcools down.

THE TEMPERATURE OF A HOT DRINK OVER AN HOUR

BAR GRAPHS

Mode of Transport

89

76543210 Bus Walk Car Bike Other

Nu

mb

er

of

Ch

ildre

n

y

x

A graph that uses bars to represent values and data.

HOW CLASS 7 TRAVEL TO SCHOOL

9 3 3 8 5WalkBus Car Bike Other

What fraction of the class travel by bus & car?

Total numberof children = 28bus + car = 9 + 3 = 12

DISTANCE/ TIME GRAPH

Used to plot distance over timefrom a certain point.Fflat line indicates a rest period.

The graph shows Anne’s journeyfrom home to her friend’s party.She stops to buy a gift. How longdid Anne spend at the gift shop?

This table shows the data from a survey of 90 people about theirfavourite pizza toppings.

Draw a pie chart for the datain the table.

Angles around a point = 360°

Step 1 360° ÷ 90 people = 41 person is represented by 4°.

Step 2 Multiply each row by 4.

Step 3 Draw a circle & use aprotractor to markeach side.

Margherita 22 x 4 = 88°

x 4 = 48°

x 4 = 196°

x 4 = 28°

favoritepizza toppings

Numberof people

Vegetarian 12

Pepperoni

Hawaiian

49

7

Total 90

Angle

Margherita Vegetarian

PepperoniHawaiian

Travel bybus & car:

1228

37=

÷4

÷4

8070605040302010

00

5 10 15 20 25 30 35Time

(mintues)

stationary

rest period = 15 minutes

steadyspeed

Dis

tan

ce (

me

ters

)

40

y

USING TIMETABLE

MEAN

0756

0807

0817

0825

0806

0817

0827

0835

0817

0828

0838

0845

0831

0839

0848

0855

0841

0849

0858

0905

0851

0859

0908

0915

Mya lives in Wyke Regis Smugglers. She has an 8:30am appointment atPortland Ripcroft. What is the latest bus she can take to make it on time?

Mya’s appointment is at 8:30 am. The latest bus she can take is the onewhich arrives in Portland Ripcroft at 08:25. This means she has to takethe 07:56 bus from Wyke Regis Smugglers.

Wyke RegisSmugglers

0729

0737

0747

0755

0736

0747

0757

0805

0746

0757

0807

0815

VictoriaSquare

EastonSquare

PortlandRipcroft

104 + 60 + 41= 205272 - 205 = 67

2D SHAPES

2D SHAPEFlat shape that has2 dimensions (length, width).

POLYGONShape with straight sides.

PARALLEL LINES2 or more lines which stay the samedistance apart and never meet, representedby smaller lines crossing the pair of parallel lines.

PERPENDICULAR LINES Meet to make aright angle.

POINT OFINTERSECTIONWhere 2 or morelines meet.

GEOMETRY

REGULAR POLYGONEqual sides & equal angles.

IRREGULAR POLYGONSides/ angles of different sizes.

CROSS SECTION

TRIANGLES

A view into the inside of theshape. When you cut the shape,you can see the cross section.

CROSS SECTION

EQUILATERAL TRIANGLE3 equal sides & 3 equal angles.

RIGHT ANGLED TRIANGLE• Can be isosceles or scalene.

1 angle = 90°

SCALENE TRIANGLE3 different angles &

3 different sides.

ISOSCELES TRIANGLE2 equal sides & 2 equal angles.

60°

60° 60°90°

2D SHAPES

are parallel

Kite

External External External

External External External

Trapezium

3D SHAPES

3 dimensions(length, width, height).

CUBE CUBOID

CYLINDERCONE

SQUARE BASED PYRAMID

TRIANGULARBASED PYRAMID

SPHERE

FACEEDGELine where two

VERTEXPlace where two or more

PRISMSame cross section across

GEOMETRY G

GEOMETRY G

Parallelogram

Heptagon

DecagonNonagon

Pentagon Hexagon

NET

A pattern which folds tomake a 3D shape.There can be more than 1

CUBE

NET OFA CUBE

NET OF ATRIANGULAR

BASED PYRAMID

Dodecagon

QUADRILATERALS -

Rhombus

SquareRectangle



Octagon

COORDINATES

FINDING COORDINATES

Coordinates are a set of numbers that show us the exact position (x, y).

x first – along the corridorthen y – up or down the stairs y is the vertical axis

x

Point A has the co-ordinates (3,5)0 1 2 3 4 5 6 7 8 9

Ax

y

2 4 6 8-8 -6 -4 -2-2

-4

-6

-8

8

6

4

2

4 quadrants

Record the coordinates known on the x and y axis.

Use the information to work out the missing coordinate.

x x

y

D = (2,2)

A B = (8,8)8

2

2 8

C = (8,2)

A = (2, 8)

X Y +

X Y

X Y+ +

X Y+

Step 1

Step 2

Answer

ANGLE RULES

RIGHT ANGLEAn angle that is

equal to 90°.

STRAIGHT LINE ANGLEAngles on a straight

line add up to 180°.a° + b° = 180°

3 right angles are equal to a turn.

Worth 3 x 90° = 270°Add up to 270°.

3_4

FULL TURN – 360°ANGLES AROUNDA POINT

360°4 right angles are

equal to a full turn.Angles around a point

add up to 360°.a° + b° + c° + d° + e° = 360°

TURN – 270°3_4

VERTICALLY OPPOSITE ANGLESAngles which are vertically

opposite from each other are equal in size.

45° xx = 45°

TURN – 90°1_4

TURN – 180°1_2

ANGLES IN AQUADRILATERAL(4 SIDED SHAPE)

Interior angles add up to 360°.

a° + b° + c° + d° = 360°

a° b°

c° d°

ANGLES IN ATRIANGLE

Add up to 180°.a° + b° + c° = 180°

b°

a°

c°

ANGLES IN A REGULAR POLYGONExternal angles add up to 360°.a° + b° + c° + d° + e° = 360°

a°

a°

b°

b°

Internalangle

Externalangle

170

1016

02

0

18018

0

015

030

140

40

130

50

120

60

110

70

100

80

90

90

80

100 110

7060

50130 40140 30150 2

0160

10170

0

120

ANGLES

TYPES OF ANGLES

MEASURING ANGLES

1. Place the centre point of the protractor on the vertex of the angle.2. Line up the base line (0 line) of the protractor with one of the angle rays.3. To find the angle, always read from 0, look at the number the second ray crosses.

angle = 35°

ACUTE ANGLEless than 90°

OBTUSE ANGLEmore than 90°less than 180°

REFLEX ANGLEmore than 180°less than 360°

RIGHT ANGLE90°

GEOMETRY

TRANSFORMATION

REFLECTIONFlips a shape across the line of reflection.

Line of SymmetryA line that divides a shape equally in two.

TRANSLATIONMovement of a shape,doesn’t change size or direction.

Can be translated horizontally,vertically or both.

Mirror LineLine used when reflecting a shape.

ROTATIONA circular movement,centre point stays fixed.

Centre point

x

y

anti-clockwise

clockwise

COMPASS DIRECTIONS

Written as 2 squares rightand 3 squares up.

y

A

B

A TO B2 right &3 up

B TO A2 left &3 down

Use a compassto tell directions. N

NE

SE

NW

SW

S

W E

GEOMETRY G

GEOMETRY G

x

c°

c°

b°

d°

d°

e°

e°

a°

There are different ways to transform a shape - reflect, rotate, translate.



fractions, decimals f

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