Non-Metric Conversions

• 2.5cm =1 inch

• 12 inches = 1 foot = 30 cm

• 3 feet= 1 yard= 90 cm

• 1760 yards = 1 mile= 1.6km

• 8 furlongs= 1 mile

• 4 inches= 1 hand= 10 cm

• 6 feet = 1 fathom (depth of water)

Length

• 16 oz= 1 pound= 454g

• 14 pounds = 1 stone= 6.35kg

• 2240 pounds = 1 ton

Weight

• 4840 sq yards = 1 acre

• 8 pints = 1 gallon= 4.55l

Area/Volume

Metric Conversions• 10mm=1cm

• 100cm=1m

• 1000mm=1m

• 1000m=1km

Length

• 1000mg=1g

• 1000g=1kg

• 1000kg=1 tonne

Weight

• 100 m2=1 are

• 100ares= 1 hectare

Area

• 1000cm3=1 litre

• 1cm3=1 ml

Volume

• 100p=£1

• 100cents=1 euro

Money

• 60secs=1min

• 60mins=1 hour

• 24hours=1 day

• 7days=1 week

• 12months=1 year

• 365days= 1 year

Time

Rules for Divisions•A number is divisible by 2 when is an even number, i.e. it ends with a 0,2,4,6,or 8

•When dividing by 2 we half the number

Dividing by 2

•A number is divisible by 3 if its digits added together are divisible by 3. e.g 5793; 5+7+9+3= 24

Dividing by 3

•A number will divide by 5 if its ends in 0 or 5

Dividing by 5

•If a number ends in 0 it will divide by 10.

•When dividing by 10 we can cancel a zero or more the decimal point one space to the left

Dividing by 10

•When dividing by 100 we can cancel up to 2 zeros or more the decimal point 2 spaces left

•If we divide by 100 we can cancel up to 3 zeros or more the decimal point three spaces to the left

Dividing by 100 or 1000

Lines•A line that goes

straight across. It is parallel to the horizon and sits at a right angle to a vertical line

HORIZONTAL

•Straight line running up and down. It sits at a right angle to a horizontal line

VERTICAL

•A line which sit at a right angle to another line

PERPENDICULAR

•Parallel lines run alongside each other and remain the same distance apart along the entire length

PARALLEL

ANGLES

INTERIOR ANGLE

•The angles on the inside of shapes and figures

•Various shapes interior angles follow set rules

EXTERIOR ANGLE

•The angles on the outside of shapes and figures

RIGHT ANGLE

•An angle that measures exactly 90 degrees. They are depicted using a square angle mark

Squares and rectangles consist of 4 right angles

ACUTE

•An angle of less than 90 degrees

REFLEX

•An angle of more than 180 but less than 360 degrees

OBTUSE

•An angle of more than 90 but less than 180 degrees

COMPLEMENTARY

•Are angles that add up to 90 degrees

SUPPLIMENTARY

•Are angles which add up to 180 degrees

Key Terms• The answer to an addition, e.g. the sum of 15,10 and 3 is 28 as 15+10+3=28SUM

• The answer to a subtraction, e.g. The difference between 45 and 26 is 19 as 45-26=19DIFFERENCE

• The answer to a multiplication, e.g the product of 3 and 4 is 12 as 3 x 4 =12PRODUCT

• The answer to a division, e.g. 1/5 of 35 is 7 as 35 divided by 5 = 7 OF

• When increasing a number we make it largerINCREASE

• When decreasing a number we make it smallerDECREASE

• Find the number value of a letter SOLVE

• Find a rough answer for the problemESTIMATE

KEY TERMS

•A number with only 2 factor -1 and itself. The lowest prime number is 2PRIME NUMBER

•A number which is multiplied by itself- 2x2=4, 4 is a squared number. Also written as having the power 2SQUARE NUMBER

•A number multiplied by itself then by itself again 2x 2x 2=8. 8 is a cubed number. Also written as having the power 3CUBED NUMBER

• The smaller number placed above and right of a normal number, it shows us how many times to multiply the number by itself, 2 to the power 4 means 2 x2 x2 x2=16POWERS

• Lowest Common Multiple, Is the smallest number two or more other numbers will divide into. The LCM 0f 3,6 and 12 is 12.LCM

•Highest Common Factor-Is The largest number which will divide into two or more other numbers. The Highest Common Factor of 9,!8 and 30 would be 3HCF

DIMENSIONS• Bottom of the figure/shapeBASE

• Dimensions given when looking at shapes and figures we can use these to work out a variety of different dimensions if we know the correct formulas

LENGTH HEIGHT and WIDTH

• The space inside a shape or figure, It is measured in squared unitsAREA

•The amount of space inside a solid, Volume is always measured or given in cubic units. Length x Width x HeightVOLUME

• The total distance round the outside of a figure or shape. PERIMETER

Area Formulae•Area of a triangle=

height x base /2

•REMEMBER the height used is always the perpendicular height

Triangles

•Area of a square = length squared or length x length

Squares

•Area of rectangle= Length x Width

•We can sub divide irregular shapes into smaller rectangles to work out a total area.

Rectangles

•Are of a parallelogram = base x height

•REMEMBER the height is the perpendicular height

Parallelogram

•The area of a trapezium = (base+top)x height/2

•REMEMBER the height is the perpendicular height

Trapezium

TRIANGLES

EQUILATERAL

• A triangle with all its sides equal length and all its angles equal to 60 degrees

ISOSCELES

• A triangle with 2 equal sides and 2 equal angles.

• The angle between the equal sides is NOT one of the equal angles

SCALENE

• A triangle with no equal sides and no equal angles

TRIANGLES

SIMILAR

TRIANGLES

• Two or more triangles which are exactly the same shape but not necessarily the same size

CONGRUENT TRIANGLES

• Two or more triangles which are identical in size and shape but often in a different rotation

Rules

• Internal angles add up to 180 degrees

• Area of a triangle formula : Base x Height /2

Averages• The average or mean of a

group of numbers is the sum of all the numbers divided by how many numbers there are

AVERAGE

• The number the occurs most commonly within a groups/set of numbers

MODE

• The middle value when a group of numbers are arranged in size order.

• If there are 2 middle numbers the median will be an average of the 2 numbers

MEDIAN

• The difference between the highest and lowest numbers in a group

RANGE

Fractions Percentages Decimals

FRACTIONS PERCENTAGES DECIMALS

¼ 25% 0.25

½ 50% 0.5

¾ 75% 0.75

1/5 20% 0.2

1/8 12.5% 0.125

1/10 10% 0.1

1/3 33.3% 0.33

2/3 66.6% 0.66

1/100 1% 0.01

Similar Fractions

1/2 2/4 3/6 4/8 5/10

1/3 2/6 3/9 4/12 5/15

1/4 2/8 3/12 4/16 5/20

1/5 2/10 3/15 4/20 5/25

1/6 2/12 3/18 4/24 5/30

1/7 2/14 3/21 4/28 5/35

1/8 2/16 3/24 4/32 5/40

1/9 2/18 3/27 4/36 5/45

1/10 2/20 3/30 4/40 5/50

Times TableX 1 2 3 4 5 6 7 8 9 10 11 12

1 1 2 3 4 5 6 7 8 9 10 11 12

2 2 4 6 8 10 12 14 16 18 20 22 24

3 3 6 9 12 15 18 21 24 27 30 33 36

4 4 8 12 16 20 24 28 32 36 40 44 48

5 5 10 15 20 25 30 35 40 45 50 55 60

6 6 12 18 24 30 36 42 48 54 60 66 72

7 7 14 21 28 35 42 49 56 63 70 77 84

8 8 16 24 32 40 48 56 64 72 80 88 96

9 9 18 27 36 45 54 63 72 81 90 99 108

10 10 20 30 40 50 60 70 80 90 100 110 120

11 11 22 33 44 55 66 77 88 99 110 121 132

12 12 24 36 48 60 72 84 96 108 120 132 144

Squared and Cubed No/s

Number

• 1

• 2

• 3

• 4

• 5

• 6

• 7

• 8

• 9

• 10

• 11

• 12

Squared

• 1

• 4

• 9

• 16

• 25

• 36

• 49

• 64

• 81

• 100

• 121

• 144

Cubed

• 1

• 8

• 27

• 64

• 125

• 216

• 343

• 512

• 792

• 1000

• 1331

• 1728