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1★ What is it? (term, expression, equation, formula or identity?)
2★ Is it an equation or an identity?
3★ Product of two brackets equating coefficients (quadratics)
4★ Equating coefficients (inc. factorising)
5★ Equating coefficients (inc. completing the square)
6★ Equating coefficients (inc. completing the square) - harder

Algebra vocabulary and understanding

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1★ Provide a counterexample to disprove a statement
2★ Show a simple identity by expanding a linear expression is true
3★ Show that an identity involving a product of two linear expressions is true
4★ Show that an expression is even, odd, multiple of or factor of a number
5★ Show that a harder expression is a even, odd, multiple of or factor of a number

Algebraic proof

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1★ Single variable addition and subtraction
2★ Addition and subtraction of multiples of a single variable
3★ Multiplying and dividing terms
4★ Collecting two or more variables
5★ Collecting two or more variables inc powers
6★ Find the perimeter of a shape with linear expressions as the lengths of the sides

Simplify an expression

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$1★ Simplify 2★ Add or subtract fractions 3★ Simplify a fraction by factorising 4★ Multiply or divide 5★ Add or subtract fractions with linear denominator expressions 6★ Solve algebraic fractional equations (integer solutions)$

Algebraic fractions

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$1★ Rearrange in 1 step 2★ Rearrange in 2 steps 3★ Rearrange a formula involving a fraction 4★ Rearrange a formula involving powers or roots 5★ Rearrange common formula 6★ Rearrange a formula where the subject appears more than once$

Change the subject

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1★ First quadrant only
2★ First and second quadrant only
3★ Third and fourth quadrants only
4★ All quadrants
5★ Identify a coordinate to complete a shape
6★ Find the midpoint of a line between 2 points

Identify coordinates in all 4 quadrants

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1★ State the equation from a graph
2★ Sketch the graph from the equation (integer intercepts)
3★ Sketch the graph from the equation (decimal intercepts)
4★ Where does x = a and y = b meet?
5★ Does the point lie on the line?

Find and use y = a, x = a and y = x

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1★ Find the y-intercept
2★ Calculate the gradient where Δx is 1
3★ Calculate a positive gradient where Δx is not 1
4★ Calculate a negative gradient where Δx is not 1
5★ Finding gradient from a graph
6★ Finding y=mx+c from a graph

Find y = mx + c from a graph

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1★ Interpret the gradient or y-intercept from y = mx + c
2★ Rearrange ax + by = c into the form y = mx + c and interpret the gradient or y-intercept (integer values only)
3★ Rearrange ax + by = c into y = mx + c and interpret the gradient or y-intercept

Rearranging into the form y = mx + c

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1★ Complete a table of coordinate pairs (find y coordinates)
2★ Complete a table of coordinate pairs (find x or y coordinates)
3★ Find the y-intercept given the gradient and a coordinate
4★ State the equation of a line given the gradient and a coordinate
5★ Calculate the gradient given 2 coordinates
6★ State the equation of a line given 2 coordinate pairs

Using and exploring y = mx + c

Generate Qu

1★ Given coordinates for two lines, determine if they are parallel
2★ Write down the equation of a line parallel to y=mx+c
3★ Given 2 linear equations, determine if they are parallel
4★ Write the linear equation of a line parallel to y=mx+c that passes through (a,b)
5★ Given the equation of a line and the horizontal distance between this and a parallel line, find the equation of the parallel line

Find the equation of a parallel line

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1★ Write the perpendicular gradient to a given gradient
2★ Given two pairs of coordinates from two straight lines, determine if they are perpendicular
3★ Write down a linear equation that is perpendicular to y=mx+c
4★ Given 2 linear equations, prove they are perpendicular to eachother
5★ Given 2 linear equations, determine if they are perpendicular
6★ Write the linear equation of a line perpendicular to y=mx+c that passes through (a,b)

Find the equation of a perpendicular line

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1★ Write the perpendicular gradient to a given gradient
2★ State the gradient of a tangent given the gradient of the radius
3★ Find the equation of the tangent given the equation of the radius and coordinates of tangent intersection with the radius on the circumference of the circle
4★ Find the equation of the tangent given equation of circle and coordinates of the intersection with the tangent and the radius on the circumference of the circle
5★ Find the equation of the tangent given the equation of the circle and the x-coordinate of the intersection with the tangent and the radius on the circumference of the circle
6★ Problem solving - e.g. find the area bounded by the axes and the tangent to a circle

Equation of a tangent to a circle

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1★ Use a graph to solve when x=a and y=b
2★ Use a graph to solve when x=a/y=b and y=mx+c
3★ Use a graph to solve when y=ax+b and y=cx+d
4★ Use a graph to show why there no solution to two linear equations - they are parallel
5★ Use a graph to solve when a quadratic and linear equation

Graphical solutions of equations

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1★ Complete a table of coordinate pairs for simple quadratics y=x^2 or cubics y=x^3
2★ Complete a table of coordinate pairs for quadratics y=x^2+bx+c or cubics y=x^3 + bx^2 + d
3★ Draw a quadratic y=ax^2+c or cubic y=ax^3 + cx function
4★ Given a quadratic and cubic, identify the equation from a given graph
5★ Given a quadratic or cubic graph, find x or y estimates from the graph

Quadratic and cubic functions

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Equation of a circle

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1★ Draw a speed-time graph for a given scenario
2★ Calculate the area under a speed-time graph (given that the graph is trapezium or rectangular in shape)
3★ Calculate the y-axis scale given a speed-time graph and the area under the graph
4★ Estimate the area under a graph (quadratic)
5★ Given a curve, determine if the estimate for the area under the curve is an under or over estimate
6★ Given a curve, calculate the area under the curve when it includes calculating negative areas (dependent on context)

Area under a graph

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1★ Complete a table of coordinate pairs given a domain of values
2★ Draw an reciprocal function given the equation and domain
3★ Given a reciprocal and exponential function, identify the equation of a given graph
4★ Given a reciprocal graph, find x or y estimates from the graph
5★ Identify asymptotes of a reciprocal function given its graph

Reciprocal functions

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1★ Complete a table of coordinate pairs given a domain of values
2★ Draw an exponential function given the equation and domain
3★ Given a reciprocal and exponential function, identify the equation of a given graph
4★ Given an exponential graph, find x or y estimates from the graph
5★ Use a graph to solve exponential equations in the form a^x=b

Exponential functions

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1★ Given a trigonometry graph, identify whether it is the sin, cos and tan graph
2★ Identify specific coordinates on a sin, cos or tan graph
3★ Sketch y=sinx, y=cosx or y=tanx for a given domain
4★ Using the graph of y=sinx, y=cosx or y=tanx and 1 solution to a given equation for the same function, find another solution using the graph
5★ Given a solution to sinx=a, cosx=a or tanx=a, find another solution without the aid of a graph

Trigonometry graphs

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1★ Solve a 1 step equation by reversing the addition or subtraction of a constant
2★ Solve a 1 step equation by reversing a multiplication or division of a constant
3★ Solve a 2 step equation in the form ax+b=c where x has a positive coefficient
4★ Solve a 2 step equation in the form ax+b=c where x has a negative coefficient
5★ Solve a linear equation in the form a(x+b)=c
6★ Problem solving

Solve linear equations (unknown on 1 side, int ans)

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Solve linear equations (unknown on 1 side, dec ans)

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1★ Solve a linear equation with the unknown on both sides in the form ax=bx+c
2★ Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has positive coefficients
3★ Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has negative coefficients
4★ Solve a linear equation with unknowns on both sides in the form a(x+b)=cx+d
5★ Solve a 'I think of a number' problem where the unknown number appears on both sides of a linear equation
6★ Problem solving, e.g. opposite sides of a rectangle are given as linear expressions and need to solve for an unknown

Solve linear equations (unknown both sides)

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$1★ Solve linear equation in the form a(x+b)=c 2★ Solve an equation involving the collection of like terms when finding the sum or difference of two linear expressions involving brackets 3★ Solve a linear equation in the form a(bx+c)=dx+e 4★ Solve a linear equation in the form a(bx+c)=dx+e where the multiplier of the bracket is a unit fraction 5★ Solve a linear equation involving the expansion of brackets on both sides of the equals sign 6★ Solve a linear equation involving multiple expansion of brackets$

Solve linear equations with brackets

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$1★ Solve a linear rational equation in the form ax/b=c 2★ Solve a linear rational equation in the form (ax+b)/c=d 3★ Solve a linear rational equation in the form (ax+b)/(cx+d)=e 4★ Solve a linear equation with fractional expressions on each side of the equals 5★ Solve a linear rational equation where you have the sum or difference of two fractional expressions 6★ Solve a rational equation involving the sum or difference of two linear equations, that leads to solving a quadratic equation$

Solve rational equations

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1★ Expand a(x+b)
2★ Expand a(bx+c)
3★ Expand x(x+a)
4★ Expand ax(bx+c)
5★ Expand the sum or difference of two linear brackets and simplify
6★ Given a linear identity in the form a(bx+c)=dx+e, identify unknown values where 1 letter is not given on each side

Expand over a single bracket

Generate Qu

1★ Expand (x + a)(x + b)
2★ Expand (x±a)(x±b)
3★ Expand (x+a)(x-a)
4★ Expand (ax±b)(cx±d)
5★ Expand the product of 2 quadratic or cubic expressions
6★ Expand the product of 3 linear expressions

Expand 2 or more binomials

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1★ Factorise linear expression ax±b
2★ Factorise a quadratic expression ax^2±bx
3★ Factorise a quadratic expression ax^2±bx with a expression common factor
4★ Can a quadratic in the form ax^2±bx be factorised?
5★ Problem solving, e.g. find the sides of a rectangle given a quadratic that represents the area
6★ Fully factorise a linear expression by combining a sum of 2 terms where 1 is partially factorised

Factorise a simple expression

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1★ Factorise a quadratic resulting in (x + a)(x + b)
2★ Factorise a quadratic resulting in (x + a)(x - b)
3★ Factorise a quadratic resulting in (x - a)(x - b)
4★ Factorise a quadratic resulting in (x + a)(x - a)
5★ Factorise a quadratic resulting in (ax + b)(x + c)
6★ Factorise a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

Factorise a quadratic expression

Generate Qu

1★ Solve a quadratic resulting in (x + a)(x + b)
2★ Solve a quadratic resulting in (x + a)(x - b)
3★ Solve a quadratic resulting in (x - a)(x - b)
4★ Solve a quadratic resulting in (x + a)(x - a)
5★ Solve a quadratic resulting in (ax + b)(x + c)
6★ Solve a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

Solve a quadratic by factorising

Generate Qu

$1★ Solve like a quadratic x^(2n)±bx^n+c where n>1 2★ Solving like a quadatic involving a rearrangement e.g. x^(2n)=bx^n+c where n>1 3★ Solve like a quadratic involving fractional powers e.g. x^(1/n)+bx^(1/2n)=c 4★ Solve like a quadratic involving variable as a power 5★ Solve like a quadratic involving trigonometric equations$

Solving quadratics in disguise

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1★ Completing the square (x+a)^2+b where b>0
2★ Completing the square (x+a)^2+b where b<0
3★ Completing the square of x^2+bn+c where b is divisible by 2
4★ Completing the square x^2+bn+c where b is not divisible by 2
5★ Find the minimum point of a quadratic function by completing the square
6★ Identify the translation of a function given it is based on f(x)=x^2

Complete the square

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1★ Solve by completing the square given part of the working
2★ Solve by completing the square given part of the working
3★ Solve by completing the square of x^2+bn+c where b is divisible by 2
4★ Solve by completing the square of x^2+bn+c where b is not divisible by 2
5★ Solve by completing the square ax^2+bx+c where a>0
6★ Solve by completing the square ax^2+bx+c

Solve a quadratic by completing the square

Generate Qu

1★ Substituting positive numbers into the quadratic formula
2★ Substituting any numbers into the quadratic formula
3★ Given that numbers were correctly substituted into the quadratic formula state the quadratic equation
4★ Use of the discriminant to show how many roots a quadratic has
5★ Solve a quadratic using the quadratic formula

Solve a quadratic by using the formula

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1★ Describe a quadratic graph transformation in words
2★ Describe the effect of a transformation on a single point on a quadratic function
3★ Given f(x)=x^2, state the equation of a transformation of f(x)
4★ Given the transformed function of f(x)=x^2, draw it alongside f(x)
5★ Describe the effect of a transformation on a single point on a trig graph
6★ Draw/Identify a trig graph transformation

Graph transformations

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1★ Substitute an input value into a single operation function machine
2★ Substitute an input value into a 2 operation function machine
3★ Find the input value of a 2 operation function machine given the output
4★ Calculate the missing operation in a 2 operation function machine given the input and output values
5★ Write an expression to represent the output of a 2 operation function machine given the input is x
6★ Calculate the missing operation of a 2 operation function machine given the input is x and the output is in the form ax+b

Use simple function machines

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1★ Identify the range of f(x)=ax given the domain
2★ Find the corresponding domain or range values given f(x)=ax
3★ Find the range of f(x)=ax+b
4★ Find the corresponding domain or range values given f(x)=ax+b
5★ Find the domain of f(x)=ax+b given a range in set notation
6★ Find the values of f(x) for which is it is undefined

Identify domain and range

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1★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax and g(x)=x+b
2★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=cx+d
3★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=x^2+c
4★ Find fg(x) for a given value knowing that f(x)=ax^2+bx+c and g(x)=dx+e
5★ Problem solving e.g. find fg(x)=gf(x) where f(x)=x^2+bx+c and g(x)=x+d

Use composite functions

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1★ Given a1 and a(n+1)=ba(n)+c, find a2
2★ Given a1 and a(n+1)=ba(n)+c, find a3 or a4
3★ Real world problem where an iterative formula and a0 is given
4★ Given x0 and an iterative formula derived from a rearranged cubic, find x3
5★ Show that a cubic equation can be rearranged to a given iterative form
6★ Show that a cubic equation as a solution between a given ratio

Iterations

Generate Qu

$1★ Rearrange a function involving only 1 operation (addition, subtraction, multiplication or division) 2★ Rearrange a function involving 2 operations 3★ Rearrange a function that is fractional 4★ Rearrange a function involving powers 5★ Rearrange a quadratic function that first involves completing the square$

Inverse functions

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1★ Interpreting a not equal to representation from a number line
2★ Interpreting an equal to representation from a number line
3★ Interpret any inequality from a number line
4★ Represent a given inequality on a number line
5★ Interpret a compound inequality from a number line
6★ Represent a compound inequality on a number line

Read/Represent inequalities on a number line

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1★ Solve a 1 step inequality by reversing the addition or subtraction of a constant
2★ Solve a 1 step inequality by reversing the multiplication or division of a constant
3★ Solve a 2 step inequality where x has a positive coefficient
4★ Solve a 1 step inequality where x has a negative coefficient
5★ Solve a 2 step inequality where x has a negative coefficient
6★ Solve a compound inequality in the form of a<bx+c<d

Solve linear inequalities

Generate Qu

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h
2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h
3★ Given a graph, identify the 4 inequalities that bound a rectangular region using x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h
4★ Identify the 3 inequalities that bound a given region including y-x>a
5★ State the coordinates of points that satisfy a given region bounded by 3 inequalities

Graphical inequalities

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1★ Graphically solve a quadratic inequality in the form x^2±a<0 or x^2±a>0
2★ Graphically solve a quadratic inequality in the form x^2±a≤0 or x^2±a≥0
3★ Solve a quadratic inequality x^2±a<0, x^2±a>0, x^2±a≤0 or x^2±a≥0
4★ Solve a quadratic inequality x^2±bx±c<0, x^2±bx±c>0, x^2±bx±c≤0 or x^2±bx±c≥0
5★ Solve a quadratic inequality ax^2±bx±c<0, ax^2±bx±c>0, ax^2±bx±c≤0 or ax^2±bx±c≥0
6★ Solve a quadratic inequality (where a is not 1) that first involves a rearrangement

Solve quadratic inequalities

Generate Qu

$1★ Continue an arithmetic sequence for the next two terms 2★ Continue a geometric sequence for the next two terms 3★ Continue a square or triangular sequence for the next two terms 4★ Continue a Fibonacci sequence for the next two terms 5★ Continue a periodic sequence for the next two terms 6★ Continue a fractional sequence for the next two terms where the numerators and denominators each follow a linear sequence$

Recognise common sequences

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1★ Continue a linear sequence for the next two terms
2★ Given the first and last term in a small linear sequence, find the missing middle values
3★ Write the first 4 terms of a linear sequence given the nth term rule
4★ Find the nth term rule for a linear sequence
5★ Given a number and the first 4 terms of a linear sequence, determine if the number is part of the sequence
6★ Given 2nd and 4th term of a linear sequence find 100th term

Understand linear sequences

Generate Qu

1★ Determine if a given sequence is geometric, if not, state the name of the sequence family
2★ Find the next 2 terms of a geometric sequence (integer common ratio)
3★ Find the next 2 terms of a geometric sequence (decimal common ratio)
4★ Given the first term and common ratio, find the first 3 terms of a geometric sequence
5★ Given an algebraic term to term rule and the first term, find a specific term in a geometric sequence
6★ Problem solving, e.g. given the 2nd and 4th term of a geometric sequence, find the 10th term

Understand geometric sequences

Generate Qu

1★ Continue an algebraic sequence that is based on an arithmetic or Fibonacci sequence
2★ Continue an algebraic sequence that is based on a geometric sequence
3★ Show that the sixth term of an algebraic sequence is a given expression
4★ Find the nth term of an arithmetic algebraic sequence
5★ Given the value of 2 terms and the first 3 terms of an arithmetic algebraic sequence, find the unknowns in the sequence

Algebraic sequences

Generate Qu

1★ Continue a quadratic sequence for the next two terms
2★ Write the first 4 terms a quadratic sequence given the nth term rule in the form of n^2+bn+c
3★ Find the nth term rule of a quadratic sequence based on an^2
4★ Find the nth term rule of a quadratic sequence based on n^2+bn+c
5★ Find the nth term rule of a quadratic sequence based on an^2+bn+c
6★ Use the nth term rule of a quadratic sequence based on an^2+bn+c to find a specific term

Understand quadratic sequences

Generate Qu

1★ Solve 2 simultaneous equations where a term in each equation has a common coefficient
2★ Solve 2 simultaneous equations where a term in each equation has a common term but a different sign
3★ Solve 2 simultaneous equations where all coefficients are different
4★ Solve a word problem that involves the creation and solving of 2 simultaneous equations
5★ Solve 2 simultaneous equations that first involves rearranging one or both of the 2 given equations
6★ Form and solve 2 simultaneous equations in other Maths topics

Solve linear simultaneous equations

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1★ Simultaneously solve a quadratic in the form of y=x^2 and a linear equation in the form y=ax+b
2★ Simultaneously solve a quadratic in the form of y=x^2±bx±c and a linear equation in the form y=ax+b
3★ Simultaneously solve a reciprocal equation in the form of xy=±c and a linear equation in the form y=ax+b
4★ Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c (integer answers only)
5★ Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c

Solve non linear simultaneous equations

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1★ Substitute a positive value into an expression that includes only 1 operation
2★ Substitute a positive value into an expression that includes 2 operations
3★ Substitute negative values into an expression involving 2 variables
4★ Substitute values into a simple quadratic expression
5★ Substitute values into common formulae
6★ Substitute values into a linear function f(x)

Substitute into expressions/formula

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1★ Create a simple expression in the form x±a or ax based on a word problem
2★ Create an expression to represent a word problem based I think of a number
3★ Create a rational expression to represent a word problem based I think of a number
4★ Create an expression based on a word problem, e.g. find the sum of 3 algebraic ages
5★ Form and solve an equation with unknowns on both sides
6★ Create a formula to represent the perimeter of a shape

Form expressions and equations

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Data handling cycle

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1★ Find a stratified sample
2★ Find the total frequency given the stratified sample

Calculate a stratified sample

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1★ Find an easy estimate of the population
2★ Find an estimate of a population
3★ Find the estimate of a population given the percentage with tags
4★ Critically analyse the sampling technique

Capture recapture

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$1★ Create a simple two-way table from images 2★ Find totals from a two-way table 3★ Complete missing values in a two-way table 4★ Calculate probabilities or fractions of amount from a two-way table 5★ Given a word problem, create and interpret a two-way table 6★ Multi-skill problem solving by creating and interpreting a two-way table, including ratios or percentages$

Two-way tables

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1★ Calculate the mode
2★ Calculate the median (odd number of values)
3★ Calculate the median (even number of values)
4★ Calculate the mean
5★ Calculate a missing value given the mean and the other values
6★ Write 4 numbers with a given mean, mode, median and range

Calculate averages from a list

Generate Qu

1★ Calculate IQR (easy ordered list)
2★ Calculate IQR (unordered list with easy quartiles)
3★ Calculate IQR (unordered list with half position values)
4★ Calculate IQR (unordered list of decimals)
5★ IQR from a stem and leaf diagram
6★ Given the IQR and range find unknown values in a list of data

Calculate quartiles from a list

Generate Qu

1★ Which average gives the best or worst result?
2★ State advantages or disadvantages of a specific type of average
3★ Given a data set, decide which average is best to use to represent the data

Which average should you use?

Generate Qu

1★ Calculate the mode from a frequency table
2★ Calculate the total score from a frequency table
3★ Calculate the mean from a frequency table
4★ Calculate an estimate of the mean from a grouped frequency table
5★ Calculate a missing score given the mean from a frequency table
6★ Calculate a missing frequency given the mean from a frequency table

Calculate the mode/mean from a frequency table

Generate Qu

1★ Calculate the median from a frequency table
2★ Identify the interval that contains the median from a grouped frequency table
3★ Use linear interpolation to find the median (always the midpoint of the interval) from a grouped frequency table
4★ Use linear interpolation to find the median (never the midpoint of the interval) from a grouped frequency table
5★ Find the interquartile range from a grouped frequency table

Calculate the median/IQR from a frequency table

Generate Qu

$1★ Draw a stem and leaf diagram from an unordered list of data containing integers 2★ Draw a stem and leaf diagram from an unordered list of data containing decimals 3★ Interpret a stem and leaf diagram, e.g. what fraction were under a specific score? 4★ Find averages and range from a stem and leaf diagram 5★ Adding data to a stem and leaf and analysing the effects on statistical measures 6★ Analysing a back to back stem and leaf diagram$

Stem and leaf diagrams

Generate Qu

1★ Draw a frequency polygon from a grouped frequency table
2★ Interpret probabilities of events from a frequency polygon
3★ Interpret the mean from a frequency polygon
4★ Draw comparisons between 2 frequency polygons drawn on the same axes

Draw/Interpret a frequency polygon

Generate Qu

1★ Construct a cumulative frequency table
2★ Construct a cumulative frequency table from a graph
3★ Estimate a median from a cumulative frequency graph
4★ Estimate the interquartile range from a cumulative frequency graph
5★ Estimate the number of people that scored more or less than an amount from a cumulative frequency graph

Draw/Interpret cumulative frequency

Generate Qu

1★ Draw a box plot given 5 point summary
2★ Draw a box plot from a cumulative frequency diagram
3★ Draw a box plot given some information given key statistical measures about a list of data
4★ Analyze a given box plots
5★ Calculate median, inter-quartile range or range from a box plot
6★ Make comparisons between 2 box plots drawn on the same number line

Draw/Interpret a box plot

Generate Qu

1★ Create a tally chart from a list of data
2★ Given a tally chart, interpret key measures from the chart
3★ Draw a bar chart from a frequency table
4★ Interpret least/most common or frequency from a bar chart
5★ Draw a bar chart given a word problem that requires problem solving

Draw/Interpret a bar chart

Generate Qu

1★ Analyse a composite bar chart
2★ Draw a composite bar chart given a two way table
3★ Interpret proportions from a composite bar chart

Draw/Interpret a composite bar chart

Generate Qu

1★ Complete a frequency density column given a grouped frequency table
2★ Complete missing values in a grouped frequency table including frequency density column and frequency values
3★ Estimate how many got greater than a score from a histogram
4★ Estimate how many got greater than a score from a grouped frequency table
5★ Construct a frequency table from a histogram
6★ Given the frequency of one interval represented by a histogram, complete a frequency table to represent all other intervals

Draw/Interpret a histogram

Generate Qu

1★ Given a pictogram, identify least/most common or total (involving frequencies that require only whole diagrams)
2★ Given a pictogram, identify least/most common or total (involving frequencies that require half a diagram)
3★ Given a pictogram, find the frequency of a category or total frequency
4★ Draw a pictogram (involving frequencies that require only whole diagrams)
5★ Draw a pictogram (involving frequencies that require half a diagram)
6★ Given a pictogram, find the percentage who answered a category

Construct a pictogram

Generate Qu

1★ Draw a pie chart (total freq 360 with categories having a frequency that is a factor of 360)
2★ Draw a pie chart (total frequency is 90 or 180)
3★ Draw a pie chart (total frequency is a factor of 360)
4★ Calculate the angles needed to construct a pie chart (total frequency is not a factor of 360)
5★ Draw a pie chart (total frequency is not a factor of 360)
6★ Draw a pie chart where the total frequency is given but the category frequencies are expressions in terms of x

Construct a pie chart

Generate Qu

$1★ Find the mode from a given pie chart 2★ Calculate the fraction represented by a sector on a given pie chart 3★ Given a pie chart and the frequency of a sector, calculate total frequency 4★ Given a pie chart and the percentage represented by 2 sectors and the total, calculate the frequency of a third sector$

Interpret a pie chart

Generate Qu

1★ Plot a scatter diagram from a given table
2★ Describe the correlation represented in a scatter graph
3★ Draw a line of best fit on a given scatter graph
4★ Estimate from a line of best fit on a scatter graph
5★ Identify anomalies from a given scatter graph

Draw/Interpret a scatter graph

Generate Qu

1★ Comment on the correlation shown in a given scatter graph
2★ Find the PMCC from table
3★ Interpret the meaning of the PMCC value in a given context
4★ Calculate the regression line equation from a given table
5★ Interpolate/extrapolate using a regression line equation formed from a given table
6★ Limitations of using a regression line given a scatter graph

PMCC and regression line

KS5/STATS

Generate Qu

1★ Substitute given values into standard deviation formula
2★ Find the standard deviation from a sample list of data
3★ Find the standard deviation from population list of data
4★ Given the standard deviation from 2 experiments, comment on the results
5★ Calculate the percentage of data within 1 standard deviation of the mean
6★ Find the standard deviation from a frequency table