Sparx topics (full import)
Full Sparx GCSE topic list imported from spreadsheet.
Sparx GCSE topic list (generated)
Source: Sparx_GCSE_content.xlsx (sheet: GCSE)
Algebra — Algebraic fractions
- Adding and subtracting algebraic fractions (U685) — Levels 3, 4, 5; Higher Only
- Dividing algebraic fractions (U824) — Levels 3, 4, 5; Higher Only
- Multiplying algebraic fractions (U457) — Levels 3, 4; Higher Only
- Simplifying algebraic fractions by cancelling common factors (U103) — Levels 2, 3, 4
- Simplifying algebraic fractions by factorising into one bracket (U437) — Levels 3, 4, 5; Higher Only
- Simplifying algebraic fractions by factorising into two brackets (U294) — Levels 3, 4, 5; Higher Only
Algebra — Algebraic notation
- Using algebraic notation (U613) — Levels 1, 2, 3, 4, 5
Algebra — Algebraic proofs
- Writing algebraic proofs (U582) — Levels 3, 4, 5; Higher Only
Algebra — Brackets
- Completing the square (U397) — Levels 4, 5; Higher Only
- Expanding double brackets (U768) — Levels 1, 2, 3, 4, 5
- Expanding single brackets (U179) — Levels 1, 2, 3, 4, 5
- Expanding triple brackets (U606) — Levels 4, 5; Higher Only
- Factorising into one bracket (U365) — Levels 1, 2, 3, 4, 5
- Factorising quadratic expressions of the form $ax^2+bx+c$ (U858) — Levels 3, 4, 5; Higher Only
- Factorising quadratic expressions of the form $x^2+bx+c$ (U178) — Levels 1, 2, 3, 4, 5
- Factorising the difference of two squares (U963) — Levels 3, 4, 5
Algebra — Functions
- Finding composite functions (U448) — Levels 4, 5; Higher Only
- Finding inverse functions (U996) — Levels 5; Higher Only
- Substituting into composite functions (U895) — Levels 4; Higher Only
- Substituting into functions (U637) — Levels 1, 2, 3
Algebra — Graphs and coordinates
- Calculating midpoints (U933) — Levels 1, 2, 3, 4, 5
- Equations of parallel and perpendicular lines (U898) — Levels 1, 2, 3, 4, 5; Higher Only
- Equations of parallel lines (U377) — Levels 1, 2, 3
- Finding equations of straight line graphs (U315) — Levels 1, 2, 3, 4, 5
- Finding the equation of a straight line from its gradient and a point (U477) — Levels 2, 3, 4, 5
- Finding the equation of a straight line from two points on the line (U848) — Levels 3, 4, 5
- Interpreting equations of straight line graphs (U669) — Levels 1, 2, 3, 4, 5
- Plotting straight line graphs (U741) — Levels 1, 2, 3, 4, 5
- Reading and plotting coordinates (U789) — Levels 1, 2, 3
- Solving shape problems involving coordinates (U889) — Levels 2, 3, 4, 5
Algebra — Inequalities
- Constructing and solving inequalities (U337) — Levels 1, 2, 3, 4, 5
- Graphs of linear inequalities (U747) — Levels 3, 4, 5; Higher Only
- Reading and drawing inequalities on number lines (U509) — Levels 1, 2
- Solving double inequalities (U145) — Levels 3, 4, 5
- Solving inequalities with the unknown on both sides (U738) — Levels 1, 2, 3, 4, 5
- Solving quadratic inequalities (U133) — Levels 4, 5; Higher Only
- Solving single inequalities (U759) — Levels 1, 2, 3, 4
Algebra — Iteration
- Finding approximate solutions to equations using iteration (U168) — Levels 4, 5; Higher Only
- Substituting into iterative formulae (U434) — Levels 4, 5; Higher Only
Algebra — Motion-time graphs
- Calculating acceleration from velocity-time graphs (U562) — Levels 4, 5
- Calculating distances from velocity-time graphs (U611) — Levels 4, 5; Higher Only
- Calculating speed from distance-time graphs (U462) — Levels 1, 2, 3, 4, 5
- Interpreting distance-time graphs (U914) — Levels 1, 2, 3
- Plotting distance-time graphs (U403) — Levels 1, 2, 3
- Plotting distance-time graphs using speeds (U966) — Levels 1, 2, 3, 4, 5
- Plotting velocity-time graphs (U937) — Levels 3, 4, 5
Algebra — Non-linear graphs
- Equations of circles (U567) — Levels 4, 5; Higher Only
- Equations of tangents (U758) — Levels 4, 5; Higher Only
- Estimating areas under non-linear graphs (U882) — Levels 4, 5; Higher Only
- Estimating gradients of non-linear graphs using tangents (U800) — Levels 4, 5; Higher Only
- Finding the turning point of a quadratic graph by completing the square (U769) — Levels 4, 5; Higher Only
- Graphs of cubic functions (U980) — Levels 2, 3, 4, 5
- Graphs of exponential functions (U229) — Levels 3, 4, 5; Higher Only
- Graphs of reciprocal functions (U593) — Levels 2, 3, 4, 5
- Interpreting graphs of quadratic functions (U667) — Levels 2, 3, 4, 5
- Plotting graphs of quadratic functions (U989) — Levels 1, 2, 3, 4, 5
- Reflecting graphs (U487) — Levels 4, 5; Higher Only
- Sketching quadratic graphs (U310) — Levels 3
- Transforming graphs (U455) — Levels 4, 5; Higher Only
- Translating graphs (U598) — Levels 3, 4, 5; Higher Only
Algebra — Real-life graphs
- Interpreting quadratic real-life graphs (U681) — Levels 3, 4
- Plotting linear real-life graphs (U652) — Levels 1, 2, 3, 4, 5
- Sketch graphs of water flows (U896) — Levels 1, 2, 3, 4, 5
- Using and finding equations of linear real-life graphs (U862) — Levels 1, 2, 3, 4, 5
Algebra — Rearranging formulae
- Changing the subject when the subject appears more than once (U191) — Levels 1, 2, 3, 4, 5
- Changing the subjects of formulae with one step (U675) — Levels 1, 2, 3, 4, 5
- Changing the subjects of formulae with two or more steps (U181) — Levels 1, 2, 3, 4, 5
Algebra — Sequences
- Position-to-term rules for arithmetic sequences (U498) — Levels 1, 2, 3, 4, 5
- Position-to-term rules for geometric sequences (U958) — Levels 2, 3, 4, 5
- Position-to-term rules for quadratic sequences (U206) — Levels 3, 4, 5; Higher Only
- Position-to-term rules for sequences of patterns (U978) — Levels 1, 2, 3, 4, 5
- Special sequences (U680) — Levels 1, 2, 3, 4, 5
- Substituting into position-to-term rules (U530) — Levels 1, 2, 3
- Term-to-term rules (U213) — Levels 1, 2, 3, 4
- Using recurrence relations (U171) — Levels 4, 5; Higher Only
Algebra — Simplifying expressions
- Simplifying expressions by collecting like terms (U105) — Levels 1, 2, 3, 4, 5
- Simplifying expressions using index laws (U662) — Levels 1, 2, 3, 4, 5
Algebra — Simultaneous equations
- Constructing and solving linear and quadratic simultaneous equations (U269) — Levels 5; Higher Only
- Constructing and solving linear simultaneous equations (U137) — Levels 2, 3, 4
- Solving simultaneous equations graphically (U836) — Levels 1, 2, 3, 4, 5
- Solving simultaneous equations involving quadratics (U547) — Levels 4, 5; Higher Only
- Solving simultaneous equations involving quadratics graphically (U875) — Levels 3, 4, 5; Higher Only
- Solving simultaneous equations using elimination (U760) — Levels 1, 2, 3, 4, 5
- Solving simultaneous equations using substitution (U757) — Levels 1, 2, 3, 4, 5
Algebra — Solving equations
- Constructing and solving equations (U599) — Levels 1, 2, 3, 4, 5
- Solving equations with one step (U755) — Levels 1, 2
- Solving equations with the unknown in the denominator (U505) — Levels 3, 4, 5
- Solving equations with the unknown on both sides (U870) — Levels 1, 2, 3, 4, 5
- Solving equations with two or more steps (U325) — Levels 1, 2, 3, 4, 5
Algebra — Solving quadratic equations
- Constructing and solving quadratic equations (U150) — Levels 4, 5; Higher Only
- Factorising to solve quadratic equations of the form $ax^2+bx+c=0$ (U960) — Levels 3, 4, 5; Higher Only
- Factorising to solve quadratic equations of the form $x^2+bx+c=0$ (U228) — Levels 1, 2, 3
- Solving quadratic equations by completing the square (U589) — Levels 4, 5; Higher Only
- Solving quadratic equations graphically (U601) — Levels 1, 2, 3, 4, 5
- Solving quadratic equations using the quadratic formula (U665) — Levels 3, 4, 5; Higher Only
Algebra — Substituting into expressions and formulae
- Substituting into algebraic formulae (U585) — Levels 1, 2, 3, 4, 5
- Substituting into expressions (U201) — Levels 1
- Substituting into real-life formulae (U144) — Levels 1, 2, 3, 4, 5
Geometry — Angles
- Angles in polygons (U427) — Levels 1, 2, 3, 4, 5
- Angles in quadrilaterals (U732) — Levels 1, 2, 3
- Angles in triangles (U628) — Levels 1, 2, 3
- Angles on a line and about a point (U390) — Levels 1, 2, 3
- Angles on parallel lines (U826) — Levels 1, 2, 3, 4, 5
- Combining angle facts (U655) — Levels 1, 2, 3
- Understanding, measuring and drawing angles (U447) — Levels 1, 2, 3, 4, 5
- Using quadrilateral properties to find angles (U329) — Levels 1, 2, 3, 4, 5
- Vertically opposite angles (U730) — Levels 1, 2, 3
Geometry — Area and perimeter
- Finding the area of compound shapes (U970) — Levels 1, 2, 3
- Finding the area of compound shapes containing triangles (U575) — Levels 1, 2, 3, 4
- Finding the area of parallelograms (U424) — Levels 1, 2, 3
- Finding the area of trapeziums (U265) — Levels 1, 2, 3
- Finding the area of triangles (U945) — Levels 1, 2, 3
- Finding the perimeter of compound shapes (U351) — Levels 1, 2, 3
- Mixed problems: Finding the area and perimeter of simple shapes (U993) — Levels 1, 2
- Problem solving: Area and perimeter of rectangles and compound shapes (Foundation) (U226) — Levels 1, 2
- Problem solving: Area and perimeter of rectangles and compound shapes (Higher) (U934) — Levels 3, 4, 5; Higher Only
- Problem solving: Area of triangles, parallelograms and trapeziums (Foundation) (U343) — Levels 1, 2, 3
- Problem solving: Area of triangles, parallelograms and trapeziums (Higher) (U904) — Levels 4, 5; Higher Only
Geometry — Bearings
- Calculating bearings (U107) — Levels 1, 2, 3, 4, 5
- Measuring and drawing bearings (U525) — Levels 1, 2, 3, 4, 5
Geometry — Circle theorems
- Alternate segment theorem (U130) — Levels 3, 4, 5; Higher Only
- Angles in segments and cyclic quadrilaterals (U251) — Levels 3, 4, 5; Higher Only
- Angles subtended at the centre or circumference of a circle (U459) — Levels 3, 4, 5; Higher Only
- Circle theorems for chords and tangents (U489) — Levels 3, 4, 5; Higher Only
- Mixed problems: Circle theorems (U808) — Levels 3, 4, 5; Higher Only
- Proving the circle theorems (U807) — Levels 3, 4, 5; Higher Only
Geometry — Circles
- Finding the arc length of sectors (U221) — Levels 2, 3, 4, 5
- Finding the area of circles (U950) — Levels 1, 2, 3, 4, 5
- Finding the area of sectors (U373) — Levels 2, 3, 4, 5
- Finding the circumference of circles (U604) — Levels 1, 2, 3, 4, 5
- Identifying parts of circles (U767) — Levels 1, 2, 3, 4, 5
Geometry — Constructions and loci
- Constructing bisectors of angles (U787) — Levels 1, 2
- Constructing loci (U820) — Levels 1, 2, 3, 4, 5
- Constructing perpendicular bisectors and lines (U245) — Levels 1, 2
- Constructing triangles (U187) — Levels 1, 2, 3, 4, 5
- Mixed problems: Constructing bisectors and perpendicular lines (U979) — Levels 3, 4, 5
- Using a pair of compasses (U678) — Levels 1, 2, 3, 4, 5
Geometry — Geometric proofs
- Geometric proofs with congruence and similarity (U887) — Levels 3, 4, 5
- Geometric proofs with vectors (U560) — Levels 4, 5; Higher Only
- Geometric proofs with angle facts (U471) — Levels 3, 4, 5
Geometry — Line and shape properties
- Line and shape properties (U121) — Levels 1, 2, 3, 4, 5
- Properties of 3D shapes (U719) — Levels 1, 2
- Symmetry (U849) — Levels 1, 2
Geometry — Nets, plans and elevations
- Nets of 3D shapes (U761) — Levels 1, 2, 3, 4, 5
- Plans and elevations (U743) — Levels 1, 2, 3, 4, 5
Geometry — Pythagoras' theorem
- Applying Pythagoras' theorem in 2D (U828) — Levels 1, 2, 3, 4, 5
- Using Pythagoras' theorem in 2D (U385) — Levels 1, 2, 3, 4, 5
- Using Pythagoras' theorem in 3D (U541) — Levels 3, 4, 5; Higher Only
Geometry — Scale diagrams
- Drawing and interpreting scale diagrams (U257) — Levels 1, 2, 3, 4, 5
Geometry — Similarity and congruence
- Congruent triangles (U866) — Levels 1, 2, 3, 4, 5
- Finding the perimeter and area of similar shapes (U630) — Levels 3, 4, 5; Higher Only
- Finding the surface area and volume of similar shapes (U110) — Levels 4, 5; Higher Only
- Finding unknown sides in similar shapes (U578) — Levels 1, 2, 3, 4, 5
- Mixed problems: Understanding similarity and congruence (U112) — Levels 1, 2, 3, 4, 5
- Understanding congruence (U790) — Levels 1, 2
- Understanding similarity (U551) — Levels 1, 2
Geometry — Surface area
- Finding the surface area of composite shapes (U561) — Levels 3, 4, 5
- Finding the surface area of cones (U523) — Levels 2, 3
- Finding the surface area of cubes and cuboids (U929) — Levels 1, 2, 3, 4, 5
- Finding the surface area of cylinders (U464) — Levels 3, 4, 5
- Finding the surface area of frustums (U334) — Levels 4, 5
- Finding the surface area of prisms (U259) — Levels 1, 2, 3
- Finding the surface area of pyramids (U871) — Levels 2, 3
- Finding the surface area of spheres (U893) — Levels 2, 3
- Mixed problems: Finding the surface area of cones and spheres (U771) — Levels 3, 4, 5
- Mixed problems: Finding the surface area of cuboids, prisms and pyramids (U142) — Levels 4, 5
Geometry — Transformations
- Combining transformations (U766) — Levels 1, 2, 3, 4, 5
- Enlargement by a positive or negative scale factor (U134) — Levels 3, 4, 5; Higher Only
- Enlargement by a positive scale factor (U519) — Levels 1, 2
- Reflection (U799) — Levels 1, 2, 3, 4, 5
- Rotation (U696) — Levels 1, 2, 3, 4, 5
- Translation (U196) — Levels 1, 2, 3, 4, 5
Geometry — Trigonometry
- Angles of elevation and depression (U967) — Levels 3, 4, 5
- Calculating with trigonometry and bearings (U164) — Levels 3, 4, 5
- Finding unknown angles in right-angled triangles (U545) — Levels 1, 2, 3, 4, 5
- Finding unknown sides in right-angled triangles (U283) — Levels 1, 2, 3, 4, 5
- Properties of trigonometric graphs (U156) — Levels 4
- The area rule (U592) — Levels 4, 5; Higher Only
- The cosine rule (U591) — Levels 4, 5; Higher Only
- The sine rule (U952) — Levels 4, 5; Higher Only
- Trigonometry in 3D shapes (U170) — Levels 4, 5; Higher Only
- Understanding sin, cos and tan (U605) — Levels 1, 2, 3, 4, 5
- Using the exact values of trigonometric ratios (U627) — Levels 2
- Using the exact values of trigonometric ratios (Higher) (U319) — Levels 3, 4, 5; Higher Only
- Using trigonometric graphs (U450) — Levels 4, 5; Higher Only
Geometry — Vectors
- Adding and subtracting column vectors (U903) — Levels 1, 2
- Identifying parallel vectors (U660) — Levels 1, 2, 3
- Multiplying column vectors by a scalar (U564) — Levels 1, 2, 3, 4, 5
- Solving geometric problems using vectors (U781) — Levels 2, 3, 4, 5
- Understanding column vectors (U632) — Levels 1, 2, 3, 4, 5
Geometry — Volume
- Finding the volume of composite shapes (U543) — Levels 3, 4, 5
- Finding the volume of cones (U116) — Levels 2, 3
- Finding the volume of cubes and cuboids (U786) — Levels 1, 2, 3, 4, 5
- Finding the volume of cylinders (U915) — Levels 1, 2, 3, 4, 5
- Finding the volume of frustums (U350) — Levels 4, 5
- Finding the volume of prisms (U174) — Levels 1, 2, 3, 4, 5
- Finding the volume of pyramids (U484) — Levels 2, 3, 4, 5
- Finding the volume of spheres (U617) — Levels 2, 3
- Mixed problems: Finding the volume of cones and spheres (U426) — Levels 2, 3, 4, 5
Number — Factors, multiples and primes
- Finding factors and using divisibility tests (U211) — Levels 1, 2
- Finding prime numbers (U236) — Levels 1, 2
- Finding the HCF and LCM using prime factor decomposition (U250) — Levels 1, 2, 3, 4, 5
- Finding the highest common factor (HCF) (U529) — Levels 1, 2, 3, 4, 5
- Finding the lowest common multiple (LCM) (U751) — Levels 1, 2, 3, 4, 5
- Prime factor decomposition (U739) — Levels 1, 2, 3, 4, 5
- Problem solving: Finding the HCF and LCM (U125) — Levels 1, 2, 3, 4, 5
Number — Fractions and mixed numbers
- Adding and subtracting fractions (U736) — Levels 1, 2, 3, 4
- Adding and subtracting mixed numbers (U793) — Levels 1, 2, 3, 4
- Constructing fractions (U163) — Levels 1, 2
- Converting between mixed numbers and improper fractions (U692) — Levels 1, 2, 3, 4
- Dividing fractions (U544) — Levels 1, 2, 3, 4, 5
- Dividing with mixed numbers (U538) — Levels 3, 4, 5
- Finding equivalent fractions (U704) — Levels 1, 2, 3
- Finding fractions of shapes (U679) — Levels 1, 2
- Multiplying fractions (U475) — Levels 1, 2, 3, 4, 5
- Multiplying with mixed numbers (U224) — Levels 1, 2, 3, 4, 5
- Ordering fractions (U746) — Levels 1, 2, 3, 4
- Ordering fractions and mixed numbers (U439) — Levels 3, 4, 5
- Problem solving: Fractions and mixed numbers (U874) — Levels 3, 4, 5
- Simplifying fractions (U646) — Levels 1, 2, 3
Number — Fractions and percentages of amounts
- Finding fractions of amounts with a calculator (U916) — Levels 2, 3
- Finding fractions of amounts without a calculator (U881) — Levels 1, 2, 3, 4, 5
- Finding percentages of amounts with a calculator (U349) — Levels 1, 2, 3
- Finding percentages of amounts without a calculator (U554) — Levels 1, 2, 3, 4, 5
Number — Fractions, decimals and percentages
- Converting between fractions, decimals and percentages (U888) — Levels 1, 2, 3, 4
- Converting fractions to recurring decimals (U550) — Levels 3, 4, 5; Higher Only
- Converting recurring decimals to fractions (U689) — Levels 3, 4, 5; Higher Only
- Ordering fractions, decimals and percentages (U594) — Levels 1, 2, 3
- Writing numbers as percentages of other numbers (U925) — Levels 1, 2, 3, 4, 5
Number — Index rules
- Index rules with negative indices (U694) — Levels 1, 2, 3, 4, 5
- Index rules with positive indices (U235) — Levels 1, 2, 3, 4, 5
Number — Negative numbers
- Adding and subtracting with negative numbers (U742) — Levels 1, 2, 3, 4, 5
- Multiplying and dividing with negative numbers (U548) — Levels 1, 2, 3, 4, 5
- Ordering negative numbers (U947) — Levels 1, 2, 3
Number — Number skills
- Using a calculator (U926) — Levels 1, 2, 3, 4, 5
Number — Operations
- Adding and subtracting decimals (U478) — Levels 1, 2, 3, 4, 5
- Adding and subtracting integers (U417) — Levels 1, 2
- Multiplying and dividing with place value (U735) — Levels 1, 2, 3
- Using a written method to divide integers (U453) — Levels 1, 2
- Using a written method to divide with decimals (U868) — Levels 1, 2, 3, 4, 5
- Using a written method to multiply decimals (U293) — Levels 1, 2, 3, 4, 5
- Using a written method to multiply integers (U127) — Levels 1, 2, 3, 4, 5
Number — Percentage change
- Compound interest calculations (U332) — Levels 1, 2, 3, 4, 5
- Finding original values in percentage calculations (U286) — Levels 1, 2, 3, 4, 5
- Finding the percentage an amount has been changed by (U278) — Levels 2, 3, 4, 5
- Growth and decay (U988) — Levels 1, 2, 3, 4, 5
- Percentage change with a calculator (U671) — Levels 1, 2, 3, 4
- Percentage change without a calculator (U773) — Levels 1, 2, 3, 4, 5
- Simple interest calculations (U533) — Levels 1, 2, 3, 4, 5
Number — Place value
- Understanding and ordering decimals (U435) — Levels 1, 2, 3
- Understanding and ordering integers (U600) — Levels 1
- Using number lines (U922) — Levels 1
Number — Roots and powers
- Calculating with roots and powers (U851) — Levels 1, 2, 3, 4, 5
- Estimating roots and powers (U299) — Levels 3, 4, 5; Higher Only
- Indices of the form $\frac$ (U985) — Levels 3, 4, 5; Higher Only
- Indices of the form $\frac$ (U772) — Levels 3, 4, 5; Higher Only
Number — Rounding
- Estimating calculations (U225) — Levels 1, 2, 3, 4, 5
- Finding bounds for calculations (U587) — Levels 4, 5; Higher Only
- Finding error intervals (U657) — Levels 1, 2, 3, 4, 5
- Finding error intervals for truncated numbers (U301) — Levels 1, 2, 3, 4, 5
- Rounding decimals (U298) — Levels 1, 2, 3, 4, 5
- Rounding decimals using significant figures (U965) — Levels 1, 2, 3, 4, 5
- Rounding integers (U480) — Levels 1, 2, 3, 4
- Rounding integers using significant figures (U731) — Levels 1, 2, 3, 4
- Truncating decimals (U108) — Levels 1, 2, 3, 4, 5
Number — Standard form
- Adding and subtracting numbers in standard form (U290) — Levels 1, 2, 3, 4, 5
- Multiplying and dividing numbers in standard form (U264) — Levels 1, 2, 3, 4, 5
- Standard form with a calculator (U161) — Levels 1, 2, 3, 4, 5
- Using standard form with negative indices (U534) — Levels 1, 2, 3, 4, 5
- Using standard form with positive indices (U330) — Levels 1, 2, 3, 4, 5
Number — Surds
- Adding and subtracting surds (U872) — Levels 3, 4, 5; Higher Only
- Expanding brackets with surds (U499) — Levels 4, 5; Higher Only
- Multiplying and dividing surds (U633) — Levels 3, 4; Higher Only
- Rationalising denominators containing a single term (U707) — Levels 4, 5; Higher Only
- Rationalising denominators containing two terms (U281) — Levels 5; Higher Only
- Simplifying surds (U338) — Levels 3, 4, 5; Higher Only
Number — The order of operations
- Using the correct order of operations (U976) — Levels 1, 2, 3, 4, 5
Probability — Conditional probability
- Conditional probabilities from Venn diagrams (U699) — Levels 4, 5; Higher Only
- Conditional probabilities from tables (U246) — Levels 4, 5; Higher Only
- Conditional probabilities from tree diagrams (U806) — Levels 5; Higher Only
- Using the conditional probability formula (U821) — Levels 5; Higher Only
Probability — Counting outcomes
- Using the product rule for counting (U369) — Levels 4, 5; Higher Only
Probability — Experimental probability
- Calculating experimental probabilities (U580) — Levels 1, 2, 3, 4, 5
Probability — Theoretical probability
- Expected results from repeated experiments (U166) — Levels 1, 2, 3, 4, 5
- Frequency trees (U280) — Levels 1, 2, 3, 4, 5
- Probabilities of mutually exclusive events (U683) — Levels 1, 2, 3, 4, 5
- Sample space diagrams (U104) — Levels 1, 2, 3, 4, 5
- Tree diagrams for dependent events (U729) — Levels 2, 3, 4, 5
- Tree diagrams for independent events (U558) — Levels 1, 2, 3, 4, 5
- Using probability phrases (U803) — Levels 1, 2, 3
- Using set notation (U296) — Levels 2, 3, 4, 5
- Venn diagrams (U476) — Levels 1, 2, 3, 4, 5
- Venn diagrams with set notation (U748) — Levels 1, 2, 3, 4, 5
- Writing probabilities as fractions (U408) — Levels 1, 2, 3
- Writing probabilities as fractions, decimals and percentages (U510) — Levels 1, 2, 3
Ratio, Proportion and Rates of Change — Compound measures
- Calculating with density (U910) — Levels 3, 4, 5
- Calculating with pressure (U527) — Levels 3, 4, 5
- Calculating with rates (U256) — Levels 1, 2, 3, 4, 5
- Calculating with speed (U151) — Levels 1, 2, 3, 4, 5
- Mixed problems: Calculating density and pressure (U842) — Levels 3, 4, 5
Ratio, Proportion and Rates of Change — Measures
- Converting units of area (U248) — Levels 1, 2, 3
- Converting units of length, mass and capacity (U388) — Levels 1, 2, 3, 4, 5
- Converting units of volume (U468) — Levels 1, 2, 3
- Estimating and measuring (U102) — Levels 1, 2
- Problem solving: Converting units of length, area and volume (U663) — Levels 1, 2, 3, 4, 5
- Using appropriate units (U497) — Levels 1, 2
Ratio, Proportion and Rates of Change — Proportion
- Constructing direct proportion equations (U407) — Levels 3, 4, 5; Higher Only
- Constructing inverse proportion equations (U138) — Levels 3, 4, 5; Higher Only
- Currency conversion (U610) — Levels 3, 4, 5
- Graphs of direct and inverse proportion (U238) — Levels 1, 2, 3, 4, 5
- Interpreting direct proportion equations (U640) — Levels 1, 2
- Interpreting inverse proportion equations (U364) — Levels 1, 2
- Solving direct proportion word problems (U721) — Levels 1, 2, 3, 4, 5
- Solving inverse proportion word problems (U357) — Levels 1, 2, 3, 4, 5
Ratio, Proportion and Rates of Change — Ratio
- Calculating with ratios and algebra (U676) — Levels 4, 5
- Changing ratios (U865) — Levels 5
- Combining ratios (U921) — Levels 3, 4, 5
- Converting between ratios, fractions and percentages (U176) — Levels 1, 2, 3, 4
- Problem solving: Sharing amounts in a given ratio (Higher) (U595) — Levels 4, 5; Higher Only
- Sharing amounts in a given ratio (U577) — Levels 1, 2, 3, 4
- Using equivalent ratios to find unknown amounts (U753) — Levels 1, 2, 3, 4
- Writing and simplifying ratios (U687) — Levels 1, 2, 3
Ratio, Proportion and Rates of Change — Time
- Reading, converting and calculating with time (U902) — Levels 1, 2
Statistics — Averages and range
- Calculating the mean (U291) — Levels 1, 2, 3
- Calculating the median (U456) — Levels 1, 2
- Calculating the range (U526) — Levels 1, 2
- Choosing suitable averages and solving problems (U717) — Levels 1, 2, 3, 4, 5
- Finding averages from diagrams (U854) — Levels 1, 2, 3, 4, 5
- Finding averages from frequency tables (U569) — Levels 1, 2, 3, 4, 5
- Finding averages from grouped data (U877) — Levels 2, 3, 4, 5
- Finding the mode (U260) — Levels 1
Statistics — Bar charts
- Drawing bar charts (U363) — Levels 1, 2
- Interpreting bar charts (U557) — Levels 1, 2, 3
Statistics — Box plots
- Comparing populations using box plots and cumulative frequency graphs (U507) — Levels 4, 5; Higher Only
- Drawing box plots (U879) — Levels 3, 4, 5; Higher Only
- Interpreting box plots (U837) — Levels 4, 5; Higher Only
Statistics — Collecting and presenting data
- Capture-recapture (U328) — Levels 3, 4, 5; Higher Only
- Collecting and recording data using tables (U120) — Levels 1, 2
- Comparing populations using diagrams (U520) — Levels 1, 2, 3, 4, 5
- Designing and using questionnaires (U911) — Levels 1, 2
- Presenting data and making conclusions (U571) — Levels 1, 2, 3
- Sampling and bias (U162) — Levels 1, 2, 3, 4, 5
- Types of data (U322) — Levels 1, 2, 3, 4, 5
Statistics — Cumulative frequency graphs
- Drawing cumulative frequency graphs (U182) — Levels 3, 4, 5; Higher Only
- Interpreting cumulative frequency graphs (U642) — Levels 4, 5; Higher Only
Statistics — Frequency polygons
- Drawing and interpreting frequency polygons (U840) — Levels 2, 3, 4, 5
Statistics — Frequency tables
- Interpreting frequency tables and two-way tables (U981) — Levels 1, 2
- Interpreting frequency tables with grouped data (U312) — Levels 1, 2, 3, 4, 5
Statistics — Histograms
- Calculating averages from histograms (U267) — Levels 4, 5; Higher Only
- Drawing histograms with equal class widths (U185) — Levels 1, 2, 3, 4, 5; Higher Only
- Drawing histograms with unequal class widths (U814) — Levels 3, 4, 5; Higher Only
- Interpreting histograms (U983) — Levels 4, 5; Higher Only
Statistics — Line graphs
- Drawing line graphs (U590) — Levels 1, 2, 3
- Interpreting line graphs (U193) — Levels 1, 2, 3
Statistics — Pie charts
- Drawing pie charts (U508) — Levels 1, 2, 3, 4, 5
- Interpreting pie charts (U172) — Levels 1, 2, 3, 4, 5
Statistics — Scatter graphs
- Interpreting scatter graphs (U277) — Levels 1, 2, 3, 4, 5
- Plotting scatter graphs (U199) — Levels 1, 2, 3, 4, 5
- Using lines of best fit (U128) — Levels 1, 2, 3, 4, 5
Statistics — Stem-and-leaf diagrams
- Drawing stem-and-leaf diagrams (U200) — Levels 1, 2, 3, 4, 5
- Interpreting stem-and-leaf diagrams (U909) — Levels 1, 2, 3, 4, 5
Statistics — Tally charts and pictograms
- Drawing and interpreting pictograms (U506) — Levels 1
- Drawing and interpreting tally charts (U653) — Levels 1