The acclaimed practice tool for all levels up to GCSE © Dr T.J. Price 2003

Topic List

This is a complete list of all the topics covered by Maths Connections V2.0, grouped according to the following categories:

Number [A-G]
Algebra [H-K]
Shape & Space [L-R]
Handling Data [S-U]

Increasing levels of difficulty are indicated by (1), (2), (3) after the topic name, and [C] shows that you are allowed to check your working before giving an answer. GCSE Tier is shown before the topic name (F, I or H).

A: Mental Arithmetic, Negative Numbers, Tables
- 1: Mental Arithmetic
  - F: Addition (0-20)
  - F: Subtraction (0-20)
  - F: Multiplication (0-12)
  - F: Division (0-12)
  - F: Miscellaneous basic
  - F: Addition (100-1000)
  - F: Subtraction (100-1000)
  - F: Multiplication (10-100)
  - F: Miscellaneous harder

2: Negative Numbers

F: Addition (0-10)
F: Subtraction (0-10)
F: Multiplication (0-12)
F: Division (0-12)
F: Miscellaneous

3: Multiplication Tables
- F: 2 times table
- F: 3 times table
- F: 4 times table
- F: 5 times table
- F: 6 times table
- F: 7 times table
- F: 8 times table
- F: 9 times table
- F: 10 times table
- F: 11 times table
- F: 12 times table
- F: Miscellaneous
4: Decimal Mental Arithmetic
- F: Addition
- F: Subtraction
- F: Multiplication
- F: Division
- F: Miscellaneous

B: Fractions, Decimals, Percentages, Ratios
- 1: Fractions
  - F: Mixed to top-heavy
  - F: Top-heavy to mixed
  - F: Cancelling down
  - F: Equivalent fractions
  - F: Misc. converting
  - F: Addition
  - F: Subtraction
  - F: Multiplication
  - F: Division
  - F: Misc. arithmetic
- 2: Decimals
  - F: Counting decimal places (1)
  - F: Counting decimal places (2)
  - I: Rounding to decimal places (1)
  - I: Rounding to decimal places (2)
  - I: Counting significant figures (1)
  - I: Counting significant figures (2)
  - I: Rounding to significant figures (1)
  - I: Rounding to significant figures (2)
  - I: Counting dp/sf
  - I: Rounding to dp/sf
- 3: Percentages
  - F: Calculate P% of...
  - F: Increase/decrease by P%
  - F: What % of X is Y?
  - I: Inverse problem
  - I: Compound interest
  - I: Miscellaneous
- 4: Converting
  - F: % to decimal
  - F: Decimal to %
  - F: Fraction to %
  - F: % to fraction
  - F: Fraction to decimal
  - F: Decimal to fraction
  - F: Miscellaneous
  - H: Recurring decimal to fraction
- 5: Ratio
  - F: Increasing/decreasing
  - F: Sharing out
  - F: Simplification
  - F: Miscellaneous
C: Primes, Squares, Factors, LCM/HCF, Irrationals
- 1: Primes, Squares, Cubes
  - F: Spotting prime numbers
  - F: Spotting square numbers
  - F: Spotting cube numbers
  - F: Miscellaneous
- 2: Factors
  - F: Spotting multiples
  - F: Spotting factors
- 3: LCM, HCF
  - I: HCF of 2 numbers
  - I: LCM of 2 numbers
  - I: HCF of 3 numbers
  - I: LCM of 3 numbers
  - I: Miscellaneous
- 4: Irrationals
  - H: Spotting rationals & irrationals
D: Indices, Standard Form
- 1: Indices
  - I: Combining +ve indices
  - H: Combining ±ve indices
  - H: Powers, reciprocals to index form
  - H: Roots, reciprocals to index form
  - H: Powers, roots, recip. to index form
  - I: Converting to numbers, integer power
  - I: Converting to numbers, rational power
- 2: Standard Form
  - I: Converting to standard form
  - I: Converting from standard form
  - I: Multiplying in standard form
  - I: Dividing in standard form
E: Using and Converting Units
- 1: Metric Units
  - F: Converting metric units
- 2: Imperial Units
  - F: Converting imperial units
- 3: Converting Units
  - F: Imperial/metric units
- 4: Compound Units
  - I: Metric areas & volumes
F: BIDMAS, Estimation
- 1: BIDMAS
  - F: Evaluating
- 2: Estimating
  - I: Estimating (1)
  - I: Order of magnitude
G: Lower and Upper Bounds
- 1: Lower/Upper Bounds
  - I: Give bounds; nearest 1
  - I: Give bounds; nearest 1,2,5
- 2: Calculations with Lower/Upper Bounds
  - H: 4 ops
  - H: 4 ops, indices
H: Sequences and nth Term
- 1: Sequence: give next term
  - F: Linear up
  - F: Linear up/dn
  - F: Geometric up
  - F: Geometric up/dn
  - I: Quadratic
- 2: Sequence: give value of nth term
  - F: Linear
  - I: Quadratic
  - F: Geometric
- 3: Sequence: give formula for nth term
  - F: Linear up
  - F: Linear up/dn
- 4: Iteration
  - H: t(n+1) (1)
  - H: t(n+1) (2)
  - H: t(n+2)
I: Algebra: Simplifying, Multiplying Out, Factorising, Evaluating
- 1: Collecting like terms
  - F: 2x+5x [C]
  - F: 2x×5y [C]
  - F: 2x+5y-4x+6y [C]
  - F: Miscellaneous [C]
  - F: 2x+5x
  - F: 2x×5y
  - F: 2x+5y-4x+6y
  - F: Miscellaneous
- 2: Multiplying out brackets
  - F: 2(3x-5y) [C]
  - F: 2y(3x-5) [C]
  - F: 2x(3x-5y) [C]
  - I: 2(3x-5y)-4(6x+y) [C]
  - I: Miscellaneous [C]
  - F: 2(3x-5y)
  - F: 2y(3x-5)
  - F: 2x(3x-5y)
  - I: 2(3x-5y)-4(6x+y)
  - I: Miscellaneous
- 3: Finding common factors
  - I: 6x-10y [C]
  - I: 6xy-10x [C]
  - I: 6x²-10xy [C]
  - I: 6x²y-10xy² [C]
  - I: Miscellaneous [C]
  - I: 6x-10y
  - I: 6xy-10x
  - I: 6x²-10xy
  - I: 6x²y-10xy²
  - I: Miscellaneous
- 4: Multiplying out quadratic expressions
  - I: (x+3)(x-2) [C]
  - I: (x-1)² [C]
  - I: (x+3)(x-3) [C]
  - I: (3x-4)(2x+6) [C]
  - I: (2x+5)² [C]
  - I: Misc. with x [C]
  - I: (x+3)(x-2)
  - I: (x-1)²
  - I: (x+3)(x-3)
  - I: (3x-4)(2x+6)
  - I: (2x+5)²
  - I: Misc. with x
- 5: Factorising quadratics
  - I: x²-5x+6 [C]
  - I: x²-16 [C]
  - I: x²-6x [C]
  - I: Miscellaneous [C]
  - I: x²-5x+6
  - I: x²-16
  - I: x²-6x
  - I: Miscellaneous
- 6: Simplifying indices
- 7: Substituting values
  - F: Integer values
  - I: 3 sf
J: Equations, Simultaneous Equations
- 1: Linear equations (1)
  - F: Solve x±a=b, ax=b (+ve soln) [C]
  - F: Solve ax±b=c, b±ax=c (+ve soln) [C]
  - F: Solve x/a+b=c (+ve soln) [C]
  - I: Solve a/x+b=c (+ve soln) [C]
  - F: Solve a(x±b)=c (+ve soln) [C]
  - I: Solve misc. (+ve soln) [C]
  - F: Solve x±a=b, ax=b (±ve soln) [C]
  - F: Solve ax±b=c, b±ax=c (±ve soln) [C]
  - F: Solve x/a+b=c (±ve soln) [C]
  - I: Solve a/x+b=c (±ve soln) [C]
  - F: Solve a(x±b)=c (±ve soln) [C]
  - I: Solve misc. (±ve soln) [C]
  - F: Solve x±a=b, ax=b (±ve soln)
  - F: Solve ax±b=c, b±ax=c (±ve soln)
  - F: Solve x/a+b=c (±ve soln)
  - I: Solve a/x+b=c (±ve soln)
  - F: Solve a(x±b)=c (±ve soln)
  - I: Solve misc. (±ve soln)
- 2: Linear equations (2)
  - F: Solve ax+b=cx+d [C]
  - F: Solve a(x+c)=b(x+d) [C]
  - I: Solve (x+c)/a=(x+d)/b [C]
  - I: Solve miscellaneous [C]
  - F: Solve ax+b=cx+d
  - F: Solve a(x+c)=b(x+d)
  - I: Solve (x+c)/a=(x+d)/b
  - I: Solve miscellaneous
- 3: Quadratic equations
  - I: Solve (x-a)(x-b)=0 [C]
  - I: Solve x²+bx+c=0 (factorises) [C]
  - I: Solve x²-a²=0 [C]
  - H: Solve ax²+bx+c=0 (formula) [C]
  - H: Solve misc. [C]
  - I: Solve (x-a)(x-b)=0
  - I: Solve x²+bx+c=0 (factorises)
  - I: Solve x²-a²=0
  - H: Solve ax²+bx+c=0 (formula)
  - H: Solve misc.
- 4: Simultaneous equations
  - I: Solve immed. cancel [C]
  - I: Solve mult one [C]
  - I: Solve mult both [C]
  - I: Solve misc. [C]
  - I: Solve immed. cancel
  - I: Solve mult one
  - I: Solve mult both
  - I: Solve misc.
- 5: Graphical solution
  - I: Cubic no offset
  - I: Cubic offset
K: Co-ordinates, Functions, Graphs, Regions, Proportion
- 1: Co-ordinates
  - F: Recognise +ve (x,y)
  - F: Plot +ve (x,y)
  - F: Recognise ±ve (x,y)
  - F: Plot ±ve (x,y)
  - I: Recognise 3D
- 2: Linear graphs: y=mx+c
  - I: Find gradient/y-int
  - I: Find equation
  - F: Fill a table
- 3: Shaded regions: y<>mx+c
  - I: Give inequality for a region
- 4: Plotting graphs
  - F: Fill a table
  - F: Plot a graph
- 5: Transforming graphs
  - H: Vert. change: powers
  - H: Vert. change: trig
  - H: Vert. change: misc.
  - H: Horiz. change: powers
  - H: Horiz. change: trig
  - H: Horiz. change: misc.
  - H: Misc. change
  - H: Find period/amp
- 6: Sketch graphs
  - I: Recognise powers of x
  - H: Recognise trig graphs
  - H: Recognise misc. graphs
- 7: Proportion
  - H: Proportion
- 8: Travel graphs
  - H: Distance/time
  - H: Velocity/time
  - H: Miscellaneous
- 9: Conversion graphs
  - F: Conversion
L: 2D Geometry: Polygons, Circles, Areas, Perimeters
- 1: Lines
  - F: Identify
- 2: Triangles
  - F: Identify
- 3: Quadrilaterals
  - F: Lines of symmetry
  - F: Rotational symmetry
  - F: Identify (1)
  - F: Identify (2)
  - F: Area, perimeter of triangle, rectangle
  - F: Area of quadrilaterals
- 4: Polygons
  - F: Number of sides
  - F: Tessellation
  - F: Identify (5-10 sides)
  - F: Identify (3-10 sides)
- 5: Circles
  - F: Area, circumference
  - I: Half/quarter arcs, sectors
  - H: Arcs, sectors
  - F: Terminology
M: 3D Geometry: Shapes, Areas, Volumes
- 1: 3D figures
  - F: Identify
- 2: Surface area, volume
  - I: Cube, cuboid, prism
  - I: Cylinder
  - H: Sphere
  - H: Cone
N: Angles: Bearings, Lines, Polygons, Circles
- 1: Angles, Bearings
  - F: Terminology
  - F: Angle sums
  - I: Compass points to bearings (pic)
  - I: Compass points to bearings (text)
  - I: Angles to bearings
  - I: Estimate bearings to 30º
  - I: Estimate bearings to 10º
- 2: Polygon angles
  - I: Interior, exterior
O: Pythagoras, Trigonometry
- 1: Pythagoras
  - I: Find hypotenuse (whole number)
  - I: Find shorter side (whole number)
  - I: Find any side (whole number)
  - I: Find hypotenuse (1 dp)
  - I: Find shorter side (1 dp)
  - I: Find any side (1 dp)
  - H: 3D: short diagonals
  - H: 3D: long diagonals
- 2: Trigonometry
  - I: Sine: find O
  - I: Sine: find H
  - I: Cosine: find A
  - I: Cosine: find H
  - I: Tangent: find O
  - I: Tangent: find A
  - I: Misc. trig: find side
  - I: Sine: find angle
  - I: Cosine: find angle
  - I: Tangent: find angle
  - I: Misc. trig: find angle
  - I: Misc. trig: find angle/side
- 3: Trig for any angle
  - H: With graph
- 4: Sine/Cosine Rule
  - H: Sine rule: find side
  - H: Sine rule: find angle
  - H: Cosine rule: find side
  - H: Cosine rule: find angle
  - H: Misc. Sine/Cosine rule
  - H: Area of triangle
P: Transformations, Similarity
- 1: Recognising transformations
  - I: Translation ±3
  - I: Translation ±10
  - I: Reflection H, V
  - I: Reflection H, V, diagonals
  - I: Rotation centre near
  - I: Rotation centre far
  - I: Enlargement +ve
  - I: Enlargement ±ve
  - I: Misc. basic
  - I: Misc. harder
- 2: Drawing transformations
  - I: Translation ±3
  - I: Translation ±10
  - I: Reflection H, V
  - I: Reflection H, V, diagonals
  - I: Rotation centre near
  - I: Rotation centre far
  - I: Enlargement +ve
  - I: Enlargement ±ve
  - I: Misc. basic
  - I: Misc. harder
Q: Dimensions
- 1: Dimensions
  - I: of formulae using L
  - I: of formulae using L,A,V
R: Vectors
- 1: Vectors on (x,y) grid
  - H: Recognise (1 quadrant)
  - H: Plot (1 quadrant)
  - H: Recognise (4 quadrants)
  - H: Plot (4 quadrants)
S: Plotting and Graphing Data
- 1: Scatter diagrams
  - I: Correlation
- 2: Charts
  - F: Plot points
  - F: Plot a bar chart
  - F: Plot a bar-line graph
  - F: Plot a frequency polygon
  - F: Plot a misc. chart
- 3: Cumulative frequency diagrams
  - I: Fill a table
  - I: Plot a graph
T: Mean, Median, Mode, IQR, Standard Deviation
- 1: Central value from listed data
  - F: Mode
  - F: Median
  - F: Mean
  - F: Misc.
- 2: Central value from grouped data
  - I: Mode
  - I: Median
  - I: Mean
  - I: Misc.
- 3: Reading cum. freq.
  - I: Read median, quartiles
  - I: Find % above/below
- 4: Spread
  - F: Range
  - H: Find s.d.
  - H: Find mean or s.d.
  - H: Transforming mean or s.d.
U: Probability
- 1: Equally likely outcomes
  - F: Coins, cards, dice
  - F: Listing outcomes
- 2: And, Or, Not rules
  - F: Not rule
  - I: And rule
  - I: Or rule
  - I: Not/And/Or
  - I: Exceptions
  - I: Miscellaneous
- 3: Tree diagrams
  - I: Repeated event (1)
  - I: Repeated event (2)
  - I: Two events (1)
  - I: Two events (2)
  - I: Miscellaneous
  - H: Repeated event, conditional

The acclaimed practice tool for all levels up to GCSE © Dr T.J. Price 2003

Topic List

The acclaimed practice tool for all levels up to GCSE
© Dr T.J. Price 2003