EC2 Excel
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EC2 Excel
Revision — Cambridge Mathematics (without Coursework) (0580) — EC2 Excel
Section 1 · Number
E1.1
Types of number — primes, HCF, LCM, squares and cubes
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E1.2
Sets — set language, notation and Venn diagrams
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E1.4a
Fractions, decimals and percentages — equivalence and converting
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E1.4b
Fractions, decimals and percentages — recurring decimals, ordering and place value
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E1.7
Indices I — positive, zero, negative and fractional indices
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E1.8
Standard form — A × 10ⁿ, converting and calculating
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E1.9
Estimation — rounding to dp/sf and estimating calculations
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E1.10
Limits of accuracy — upper and lower bounds
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E1.11
Ratio and proportion — simplest form, dividing in a ratio, best value
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E1.12
Rates — pay, exchange, flow, fuel, pressure, density, average speed
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E1.13
Percentages — increase/decrease, reverse %, simple and compound interest
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E1.15
Time — units, 12/24-hour clock, timetables, time zones
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E1.16
Money — calculate with money, convert between currencies
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E1.17
Exponential growth and decay
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E1.18
Surds — simplifying expressions and rationalising the denominator
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Section 2 · Algebra and graphs
E2.1
Introduction to algebra — notation, collecting like terms and substitution
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E2.2
Algebraic manipulation — expanding and factorising
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E2.3
Algebraic fractions — manipulate, factorise and simplify rational expressions
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E2.5a
Equations — solving linear equations in one unknown
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E2.5b
Equations — simultaneous equations (linear; and one linear, one non-linear)
Section 3 · Coordinate geometry
E3.5
Coordinate geometry — straight-line graphs, gradient, parallel and perpendicular
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Section 4 · Geometry
E4.2
Geometrical constructions — measure/draw, SSS triangle, nets
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E4.3
Scale drawings — three-figure bearings (measured clockwise from north)
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E4.4
Similarity — length, area and volume scale factors; showing triangles similar
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E4.5
Symmetry — line and rotational symmetry; symmetry of solids
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E4.6a
Angles — at a point/line, vertically opposite, triangles, parallel lines
Section 5 · Mensuration
E5.2/E5.3
Area and perimeter — rectangle, triangle, parallelogram, trapezium (E5.2) and circles (E5.3)
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E5.3
Circles, arcs and sectors — arc length and sector area
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E5.4
Surface area and volume — cuboid, prism, cylinder, sphere, pyramid, cone
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Section 6 · Trigonometry
E6.1/E6.6
Pythagoras' theorem — in 2D (E6.1) and in 3D (E6.6)
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E6.2/E6.6
Right-angled trigonometry — sine, cosine, tangent; elevation/depression (E6.2) and in 3D (E6.6)
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E6.3
Exact trigonometric values
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E6.4
Trigonometric functions — graphs of sin/cos/tan and solving trig equations
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E6.5
Section 7 · Transformations and vectors
E7.1
Transformations — reflection, rotation, enlargement, translation
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E7.2
Vectors in two dimensions
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E7.4
Vector geometry — position vectors, parallel/collinear, ratio proofs
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Section 8 · Probability
E8.1
Probability of single and combined events
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E8.3
Probability from Venn diagrams — set notation
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E8.4
Tree diagrams and conditional probability
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Section 9 · Statistics
E9.3
Averages and measures of spread — mean, median, mode, range
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E9.5
Scatter diagrams — correlation and line of best fit
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E9.6
Cumulative frequency diagrams — median, quartiles, IQR
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E9.7
Histograms — frequency density and unequal widths
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E2.5c
Equations — changing the subject of a formula
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E2.7
Sequences — nth term (linear, quadratic, cubic, exponential)
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E2.5d
Equations — quadratic expressions and equations
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E2.9
Graphs in practical situations — travel graphs and kinematics
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E2.6
Inequalities — linear inequalities, number lines and graphical regions
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E2.12
Differentiation — derivatives of ax^n, stationary/turning points
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E2.8
Proportion — direct and inverse proportion in algebraic terms
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E2.13
Functions — domain and range with function notation
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E2.11a
Graphs of functions — quadratic graphs (sketch, solve, turning point)
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E2.11b
Graphs of functions — cubic, reciprocal and exponential graphs
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E2.13a
Functions — f(x), composite gf(x), inverse and domain/range
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E4.6b
Angles — properties of regular and irregular polygons
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E4.1/E4.8
Circle vocabulary (E4.1) and chord/tangent symmetry properties (E4.8)
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E4.7
Circle theorems — semicircle, centre/circumference, same segment, cyclic quadrilateral, tangent/radius
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Non-right-angled triangles — sine rule, cosine rule and area = ½ab·sin C
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