WJEC GCSE Maths Intermediate Tier Topic List
Standard type = Grade E/D TopicsUnderlined = Grade C TopicsBold Italic = Grade B Topics
Number
N1Rounding numbers to given decimal places and significant figures, selecting an appropriate degree of accuracy
N2Identifying odd, even, multiples, factors, primes, square, square root, cube, cube root and reciprocal
N3Lowest common multiples and highest common factors
N4Product of prime factors, finding LCM/HCF of numbers written as product of primes
N5Index notation for powers that are zero, positive, negative, ½
N6Standard form
N7Working with negative numbers
N8Finding fraction, percentage of a quantity
N9Expressing one number as a fraction or percentage of another
N10Fractional/percentage increase/decrease, profit and loss
N11Finding the original quantity given the result of a percentage/fraction change
N12Compound %change (eg using x1.053, x0.983 for 5% increase or 2% decrease for three years)
N13Exchange rates
N14Working with ratio
N15Direct and inverse proportion
N16Non-calculator x and ÷ of three digits by two digits numbers
N17Estimating and approximating solutions to numerical calculations
N18Working with upper and lower bounds of measurements rounded to a given degree of accuracy
N19Venn diagrams
Algebra
A1Finding the nth term of a linear, or quadratic sequence. Generating a sequence from a given linear or quadratic nth term rule.
A2Conversion graphs
A3Distance-time graphs
A4Recognising and interpreting graphs that illustrate direct and inverse proportion
A5Using coordinates in 4 quadrants
A6Equations of lines, y = mx + c, gradients of parallel lines, identified from graphs or drawing
A7Drawing and interpreting graphs of y = ax2 + bx + c
A8Drawing graphs such as y2 = 4x
A9Substitution and evaluation of formulae expressed in words or symbol.
A10Expanding a(bx + c), (ax + by)(cx + dy), (ax + by)2
A11Common factors, factorising x2 + ax + b
A12Forming, manipulating, solving linear equations(including fractional coefficients)
A13Forming, manipulating, solving linear inequalities(including fractional coefficients)
A14Rearranging formula (subject in one term only)
A15Forming and solving simultaneous equations using graphical and algebraic methods in and out of context
A16Solving by factorising/graphical methods quadratic equations of form x2 + ax + b = 0
A17Solution of cubic equations using trial and improvement, justifying the accuracy of the solution
A18Distinguishing in meaning between equations, formulae and expressions
Geometry & Measure
G1Identify and use geometrical terms and vocabulary – point, line, plane, parallel, right angle, clockwise, anti-clockwise, perpendicular, horizontal, vertical, acute, obtuse, reflex, face, edge, vertex, isosceles, equilateral, scalene, exterior/interior angle, diagonal, square, rectangle, parallelogram, rhombus, kite, trapezium, polygon, pentagon, hexagon, radius, diameter, tangent, circumference, arc, sector, segment, cube, cuboid, cylinder, cone, sphere, prism, pyramid, tetrahedron
G2Nets
G3Using and drawing 2-D representations of 3-D shapes including use of isometric paper.
G4Using ruler and pair of compasses to construct triangles, quadrilaterals, circles, 60o, 30o, 90o, 45o angles, bisect lines and angles, construct the perpendicular from a point to a line
G5Use angle, line properties of square, rectangle, parallelogram, trapezium, kite and rhombus. Classify quadrilaterals by their geometric properties
G6Drawing plans and elevations of and 3-D solid
G7Identifying congruent shapes
G8Reflectional and rotational symmetry
G9Angle properties of lines, triangles, quadrilaterals, regular and irregular polygons
G10Pythagoras’ theorem
G11Trigonometry, in and out of context (bearings, angles of elevation and depression)
G12Angle and tangent properties of circles (apart from alternate segment theorem)
G13Finding coordinates of the midpoint of a line when given the coordinates of the end points, finding coordinates of the fourth vertex of a parallelogram when given the other three
G14Similar shapes, using to find unknown sides
G15Transformations – reflection, rotation, enlargement with positive and fractional scale factors, translation, describing a translation using column vectors, draw the image of a shape under two successive transformations
G16Tiling and tessellation
G17Using and interpreting maps, scale drawings (scale in form 1cm represents 5, or 1:500), three figure bearings
G18Loci
G19Standard metric units of length, mass, capacity, time. Relationships between metric units.
G20Conversion between km – miles, cm – inches, m – feet, kg – lb, litres – pints and gallons. Knowledge of 8 km ≈ miles, 1kg ≈ 2.2 lb, 1 litre ≈ 1.75 pints
G21Reading and interpreting scales
G22Distinguishing between formulae for length, area and volume by considering dimensions
G23Using compound measures (and units) for speed, density and population density
G24Calculating perimeter and area of composite shapes made up of square, rectangle, triangle, parallelogram, trapezium, circle, semi-circle.
G25Calculating surface area, cross-sectional area and volumes of cubes, cuboids, prisms, cylinders and composite solids
Statistics
S1Considering and testing hypotheses, specifying the data needed and considering potential sampling methods – systematic sampling, considering the effect of sample size and other factors that affect the reliability of conclusions drawn.
S2Designing and criticising questions for a questionnaire using notions of fairness and bias. Recognising that graphs may be misleading.
S3Sorting, classification and tabulation of qualitative, discrete or continuous quantitative data
S4Grouping discrete or continuous data into class intervals of equal or unequal widths
S5Constructing and interpreting pictograms, bar charts, pie charts, vertical line diagrams, grouped frequency diagrams and frequency polygons, temperature charts, scatter diagrams including drawing and using line of best fit (by eye or through mean point) and identifying positive, negative or little/no correlation
S6Constructing and interpreting cumulative frequency tables and diagrams. Estimating median and IQR
S7Mean, mode, median and range for ungrouped data. Estimating median and mean of grouped data and identifying modal class.
S8Comparing two distributions using one measure of central tendency and one of spread
S9Producing and using box and whisker plots to compare distributions
S10Understanding and use of probability scale from 0 to 1 (probs given as fractions, decimals or percentages). Use of prob of an event not occurring is 1 – prob of even occurring.
S11Relative frequency, including graphical representation of relative frequency
S12Calculating theoretical probabilities base on equally likely outcomes, estimating probabilities based on experimental evidence, comparing an estimated probability from experimental results with a theoretical probability.
S13Identifying all the outcomes of a combination of two experiments using appropriate tabulation, tree diagrams, venn diagrams
S14Calculating probabilities of independent and mutually exclusive events