Care Respect Inspire

Year 10 Maths Revision List

Foundation:

Foundation Paper 1
Topic to revise	Clip Number
Identifying parts of circles	61
Rounding integers	276
Rounding decimals	278
Estimating calculations	285
Simplifying expressions using index laws	174
Calculating with roots and powers	226, 228
Using the correct order of operations	211
Converting between fractions, decimals and percentages	121 – 127
Finding percentages of amounts	235
Enlargement by a positive scale factor	104
Angles on a line and about a point	30, 35
Angles in triangles	37
Constructing and solving equations	110
Finding original values in percentage calculations	240
Currency conversion	214a
Function machines with numbers	386
Function machines with letters	386
Probabilities of mutually exclusive events	245, 249
Calculating experimental probabilities	248
Writing & simplifying ratios	269
Using equivalent ratios to find unknown amounts	271a
Venn diagrams	380
Special sequences	287a
Ordering fractions, decimals and percentages	131
Finding the area of circles	40
Sample space diagrams	246
Translation	325, 326
Finding the percentage an amount has been changed by	233
Finding the perimeter and area of similar shapes	292
Adding and subtracting fractions	133
Use equivalent ratios to find unknown amounts	271a
Finding the surface area of spheres	313
Constructing and solving linear simultaneous equations	295
Plans and elevations	354
Finding error intervals	377
Constructing perpendicular bisectors and lines	78
Solving equations with the unknown on both sides	113
Factorising to solve quadratic equations	266

Foundation Paper 2
Topic to revise	Clip Number
Finding prime numbers	225
Calculating with roots and powers	226, 228
Adding and subtracting integers	6, 304
Finding the area of triangles	49
Finding fractions of amounts without a calculator	137
Adding and subtracting fractions	133
Line and shape properties	1, 5
Symmetry	316
Interpreting bar charts	148
Drawing bar charts	147
Percentage change	233
Using the correct order of operations	211
Converting between fractions, decimals and percentages	121-127
Converting between mixed numbers and improper fractions	139, 140
Converting units of length, mass and capacity	349a,b and c
Simplifying expressions by collecting like terms	9
Expanding single brackets	13
Estimating calculations	215
Reading, converting and calculating with time	322
Interpreting equations of straight line graphs	191
Substituting into algebraic formulae	20
Changing the subjects of formulae with two or more steps	299a
Solving shape problems involving coordinates	84, 85
Solving direct proportion word problems	256
Fractions of amounts	137
Multiplying and dividing with negative numbers	206, 207
Writing numbers as percentages of other numbers	237
Solving single inequalities	178
Term-to-term rules	287
Position-to-term rules for arithmetic sequences	288
Solving simultaneous equations graphically	297
Using equivalent ratios to find unknown amounts	271a
Geometric proofs with congruence and similarity	66, 67
Index rules with negative indices	175
Interpreting two-way tables	319
Tree diagrams for independent events	252
Areas of sectors and circles	40, 46

Foundation Paper 3
Topic to revise	Clip Number
Understanding and ordering integers	95
Calculating with roots and powers	226,228
Reading and plotting coordinates	84
Reflection	272,273
Finding the mode	56
Calculating the median	50
Interpreting pie charts	163,164
Drawing and interpreting scale diagrams	283
Measuring and drawing bearings	26,27
Simplifying expressions using index laws	172, 174
Solving equations with two or more steps	110, 113
Adding and subtracting with negative numbers	205
Multiplying fractions	142
Finding factors and using divisibility tests	216
Finding the HCF and LCM using prime factor decomposition	225
Ordering fractions, decimals and percentages	95
Calculating the mean	53
Substituting into real-life formulae	20
Substituting into algebraic formulae	20
Frequency trees	376
Solving direct proportion word problems	254, 255a
Graphs of reciprocal functions	346
Reading and drawing inequalities on number lines	177
Understanding column vectors	353
Adding and subtracting column vectors	353a
Multiplying column vectors by a scalar	353a
Rounding decimals using significant figures	279a
Writing and simplifying ratios	269
Interpreting scatter graphs	165
Using lines of best fit	167
Compound interest calculations	236
Using algebraic notation	19
Equations of parallel lines	196
Finding unknown angles in right-angled triangles	329-331
Sampling and bias	281a
Combining ratios	271e
Solving inverse proportion word problems	255
Using Pythagoras’ theorem in 2D	257
Using standard form with negative indices	300
Standard form with a calculator	301-303

Higher:

Higher Paper 4
Topic to revise	Clip Number
Sample space diagrams	246
Translation	325, 326
Finding the percentage an amount has been changed by	233
Plans and elevations	354
Index rules with negative indices	175
Finding error intervals	377
Converting between ratios, fractions and percentages	121 – 127
Constructing perpendicular bisectors and lines	78
Solving equations with the unknown on both sides	113
Factorising to solve quadratic equations	266
Finding the surface area of spheres, cubes and cuboids	313
Compound interest calculations	236
Substituting into real-life formulae	20
Finding unknown sides in similar shapes	292
Prime factor decomposition	223
Tree diagrams for dependent events	252
Sketching quadratic graphs	265
Properties of trigonometric graphs	324
Interpreting box plots	149
Comparing populations using box plots and cumulative frequency graphs	150,153, 154
Using the product rule for counting	383
Enlargement by a positive or negative scale factor	104 – 108
Calculating with rates	390a, 390b
Solving simultaneous equations involving quadratics	298
Trigonometry in 3D shapes, Using Pythagoras’ theorem in 3D	332
Graphs of exponential functions	345
Finding approximate solutions to equations using iteration	373, 373a
Interpreting two-way tables	319

Higher Paper 5
Topic to revise	Clip Number
Multiplying and dividing with negative numbers	206, 207
Writing numbers as percentages of other numbers	237
Rotation	275
Solving single inequalities	178, 179
Reading and drawing inequalities on number lines	177
Adding and subtracting mixed numbers	139, 140
HCF and LCM using prime factor decomposition	224
Position-to-term rules for arithmetic sequences	288
Solving simultaneous equations graphically	297
Using equivalent ratios to find unknown amounts	271a
Interpreting two-way tables	319
Expanding single brackets	13
Calculating with density	384
Geometric proofs with congruence and similarity	66, 67
Constructing direct proportion equations	254
Indices of the form a/b	173
Simplifying expressions using index laws	174
Completing the square	10
Finding the turning point of a quadratic graph by completing the square	265a
Changing the subject when the subject appears more than once	8
Drawing histograms with unequal class widths	159
Interpreting histograms	158
Converting recurring decimals to fractions	96
Finding the area of sectors	40, 46
Simplifying algebraic fractions by factorising into two brackets	23, 24
Tree diagrams for independent events	252
Tree diagrams for dependent events	252
The cosine rule	335, 336

Higher Paper 6
Topic to revise	Clip Number
Rounding decimals using significant figures	279a
Writing and simplifying ratios	269
Finding the circumference of circles
Interpreting scatter graphs	165
Using lines of best fit	167
Using algebraic notation	19
Equations of parallel lines	196
Calculating with speed	299
Angles in polygons	32
Sampling and bias	281a
Using standard form with negative indices	300
Standard form with a calculator	301 – 303
Index rules with positive indices	174
Constructing and solving linear simultaneous equations	295
Using Pythagoras’ theorem in 2D	257
Angles in segments and cyclic quadrilaterals	65c, 65d
Angles subtended at the centre or circumference of a circle	65b
Interpreting cumulative frequency graphs	154
Constructing inverse proportion equations	255
Growth and decay	345
Equations of circles and tangents	372
Using recurrence relations	373
Expanding brackets with surds	308
The sine rule	333, 334
Estimating gradients of non-linear graphs using tangents	344, 346
Conditional probabilities from Venn diagrams and tables	247
Expanding triple brackets	15
Writing algebraic proofs	365

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Pensby High School
Irby Road, Heswall CH61 6XN

Tel: 0151 342 0570 Fax: 0151 342 0571

Email: schooloffice@psf.wirral.sch.uk Headteacher: Mr K Flanagan