2024 exams

• $a \times 10^n$= standard form
• 60 mins in an hour, 24 hours in a day
• initial x multiplier^time = compound interest
• percentages -> decimals = $\div 100$
• percentages -> fractions = $\frac{no.}{100}$
• decimals -> fractions = tenths = over 10, hundredths = over 100
• decimals -> percentages = $\times 100$
• fractions -> percentage = equivalent fraction -> percentage
• fractions -> decimals = $\frac{2}{5}$= $\div$by
• LCM = lowest common multiple
• HCF = highest common factor
• fractions: multiplication = multiply denominators, numerators
• fractions: division = KCF - keep, change, flip
• fractions: subtraction = make denominators the same, subtract numerators
• fractions: addition = make denominators the same, add numerators
• rounding = 5 and up, you round up
• rounding = 4 and below, you round down
• simple interest = same amount of interest every year
• irrational number = cannot be expressed as a fraction
• rational number = can be expressed as a fraction
• length = meter ( m )
• time = seconds ( s )
• mass = kilogram ( kg ) or gram ( g )
• capacity = litre ( l ) or millilitre ( ml )
• weighted mean = $( number \times weighing factor ) \div$ sum of all the weights
• laws of indices = $x^0 =$$1$
• laws of indices = $x^n \div x^m =$$x^m-^n$
• laws of indices = $x^n \times x^m =$$x^m+$$^n$
• laws of indices = $(x^n)^m =$$x^m\times^n$
• inequalities = filled in circle - shows the value is included =$\geq or \leq$
• inequalities = open circle - shows that the value is not included = $< or >$
• substitution = replace letters with given numbers, then work out the equation
• linear equations - y=mx+c
• $c$= y-intercept
• $m$ = gradient of the line
• $x +$$y$ = given co-ordinates ( x,y )
• simultaneous equations = same - check the $x's$ are the same
• simultaneous equations = subtract - top - bottom
• simultaneous equations = solve - solve for $y$
• simultaneous equations = substitute - to find $x$