MATHS FACTS SYMBOLS + plus or add minus or subtract multiplied by, times, lots of divided by, into groups of = equals, is equal to is not equal to is approximately equal to < is less than, < 6 > is greater than, 8 > is less than or equal to is greater than or equal to % percentage, % =. decimal point as in 7.9 ( ) parentheses, or brackets - a grouping symbol fraction, 7, four sevenths 7 right angle 00 parallel lines lines of equal length page Maths Mate./. Skill Builder Maths Facts
NUMBER FACTS () Adding and subtracting 0 Multiplying by 0 ZERO Adding and subtracting leaves the number unchanged. 0 used in decimals to any number + 0 = 0 =. + 0 =.. 0 =. + 0 = 0 = 9 9 9 9 s can be added when needed after the last digit and the decimal point. =.000 s can be added when needed before the first digit of the decimal number. =.0 = 000.0 By convention, decimal numbers less than The product of any number and is 0 7 0 = 0 8.6 0 = 0 0 = 0 Dividing by 0 Dividing by is meaningless. 0 and are meaningless operations. 0 Power of 0 Any number raised to the power of is 0 = (0.) 0 = ( ) 0 = are written with a point.. = 0. before the decimal 0 as the result of a sum The sum of any number, except zero, and its opposite is 0 as a probability When the probability of an event is, the event is impossible. + ( ) = 0.6 + (.6) = 0 + ( ) = 0 8 8 0 in words Some of the words used to represent nought, nil, none, nothing, zilch, zip. are: 0 facts is a whole number and a digit but is neither a positive nor a negative number. page Maths Mate./. Skill Builder Maths Facts
NUMBER FACTS () Multiplying by Dividing by ONE Any number multiplyed by remains Any number divided by remains unchanged. unchanged. =. =. = 9 9 7 = 7 8.6 = 8.6 = as a fraction Power of can be renamed as a fraction whenever the numerator is the same as the denominator. Any number raised to the power of remains unchanged 7 = 7 (6.8) = 6.8 ( ) = = = = = as a percentage as a probability When the probability of an event is event is certain to happen. as a denominator Any whole number can be written as a fraction with denominator 0 0 =, the is the same as 00%. 00 = = 00% 00 as the result of a product The product of any number, except zero, and its reciprocal is = in words Some of the words used to represent one, a, an, each, single, unit. are: facts is a whole number and a digit but not a prime number. is a factor of any whole number. page Maths Mate./. Skill Builder Maths Facts
NUMBER FACTS () Place Value millions hundreds of thousands tens of thousands thousands hundreds tens,000,000 00,000 0,000 000 00 0 units decimal point tenths 0 hundredths 00 thousandths 000 Decimals / Fractions / Percentages numerator by denominator 00% make denominator 00 and simplify Decimals Percentages Fractions 00% 00 % For denominator put followed by one zero for each digit after the decimal point and simplify Fraction Decimal Percentage 00% 0. 0% 0. % 0.7 7% Fraction Decimal Percentage 0. 0% 0. 0% 0.6 60% 0.8 80% Prime numbers < 00,,, 7,,, 7, 9,, 9,, 7,,, 7,, 9, 6, 67, 7, 7, 79, 8, 89 and 97 Operation terminology Addition: sum, all together, in total, more than Subtraction: difference, less than, change Multiplication: product, times, lots of Division: a fraction (half, third, quarter) of, quotient Order of operations ) Simplify inside all brackets first. ) Evaluate powers and square roots. ) Do all multiplications or divisions in order from left to right. ) Do all additions or subtractions in order from left to right. page Maths Mate./. Skill Builder Maths Facts
MEASUREMENT FACTS () CONVERSIONS Length 0 millimetres (mm) = centimetre (cm) 00 cm = metre (m) 000 mm = 000 m = kilometre (km) Temperature - degrees Celcius ( C) 0 C = freezing point of water 00 C = boiling point of water 7 C = human body temperature Area 00 square mm (mm ) = square cm (cm ) 0 000 cm = square metre (m ) 0000 m = hectare (ha) Mass 000 milligrams (mg) = gram (g) 000 g = kilogram (kg) 000 kg = tonne (t) Liquid Capacity 000 millilitres (ml) = litre (L) 000 L = kilolitre (kl) 000 kl = megalitre (ML) Time 60 seconds (s) = minute (min) 60 minutes (min) = hour (h) hours (h) = day 7 days = week weeks = fortnight weeks (approx.) = month 6 = weeks (approx.) = year months = 66 days = leap year 0 years = decade 00 years = century page Maths Mate./. Skill Builder Maths Facts
0 min 0 min MEASUREMENT FACTS () TIME O CLOCK ANALOGUE - PAST BIG HAND on LITTLE HAND on the hour PAST - big hand to the right min 0 min min five o clock :00 0 minutes past 7 min 0 min A QUARTER PAST ANALOGUE - TO BIG HAND on LITTLE HAND past the hour TO - big hand to the left 0 min min min a quarter past five : 0 minutes to 0 min min HALF PAST DIGITAL - PAST BIG HAND on 6 LITTLE HAND half way past the hour 0 0 0 half past five :0 : 0 0 0 A QUARTER TO DIGITAL - TO BIG HAND on 9 LITTLE HAND before the hour 0 0 0 a quarter to six : 0:0 0 0 0 page 6 Maths Mate./. Skill Builder Maths Facts
GEOMETRY FACTS D shapes 90 Acute Right Obtuse Straight Reflex Revolution < 90 more than 90 more than 80 90 80 less than 80 less than 60 60 90 0 60 0 80 0 60 0 0 0 80 Triangle types Sides and angles no equal sides/angles two equal sides/angles three equal sides/angles Triangle type scalene isosceles equilateral Angles all acute angles one right angle one obtuse angle Triangle type acute-angled right-angled obtuse-angled Quadrants There are quadrants in a Cartesian plane. In this Cartesian plane coordinates (,) are in quadrant. Quadrant (,) Y Quadrant (0,0) Origin X Quadrant Quadrant page 7 Maths Mate./. Skill Builder Maths Facts
page 8 Maths Mate./. Skill Builder Maths Facts