RevTree

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