455 Maths revision sheets arranged broadly in order of difficulty. Suitable for Years 7 – 11. Wide range of topics covered. Very useful as homeworks. 75 of these have accompanying “Feedback” sheets, which give worked solutions to many of the questions. In many cases the next sheet has the same questions but using different numbers. Students can study their answers using the Feedback sheet and then aim to get a higher mark for the next sheet. Sheets often cover a range of topics, and the constant repetition has proved to be very effective in ensuring that material previously taught is not forgotten.

Worksheets on Circles, Indices, Interior and Exterior Angles, Mean, Median, Mode and Range, Multiples, Factors and Prime Numbers, Percentages, Probability, Properties of Quadrilaterals, Ratio and Proportion, Straight Line Graphs and Tree Diagrams are provided by the 11 topic sheets. In many cases these sheets progress from simple recall questions through to more complex problems.

The first 14 Starter sheets cover basic numeracy – addition and subtraction, times tables, negative numbers, fractions, square and cube numbers and simple percentages. After this, other topics are covered. Like the revision sheets, the Starter sheets are arranged broadly in order of difficulty. They are supplied as PowerPoint presentations and well as PDFs.

Answers are provided for all the revision sheets, topic sheets and starters.

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Below is a list of topics covered in the numbered revision sheets, along with the number of the sheet in which they first appear. The sheets are arranged broadly in order of difficulty, so for example the questions on simplifying algebraic expressions on sheet 39 and the questions on adding fractions on sheet 57 will be the easiest examples of these type of questions that appear.

 

1 Times tables

1 Division facts

1 Place value

3 Multiplying and dividing by 10, 100 and 1000

3 Perimeter

4 Complements to 100

4 Adding and subtracting decimals

4 Writing large numbers in figures

4 Decimal equivalents of simple fractions

4 Converting between metric units

6 Time

8 Long multiplication

8 Negative numbers in the context of temperature

8 Adding and subtracting negative numbers

14 Finding a fraction of a quantity

16 Rounding to the nearest whole number

17 Brackets and the order of operations

17 Ordering negative numbers

21 Squaring numbers

21 Multiples and factors

23 Cancelling fractions

23 Rounding to the nearest 10, 100 and 1000

24 Percentage equivalents of simple fractions

26 Acute, obtuse and reflex angles

26 Probability that something does not happen

28 Finding the mode

28 Finding the range

28 Working out simple probabilities

29 Finding the median

29 Finding simple percentages of a quantity

32 Simplifying algebraic expressions

37 Writing an algebraic expression

39 Simplifying an algebraic expression

39 Substituting into an expression

42 Fraction equivalents of simple percentages

44 Angles on a straight line

44 Angles in a triangle

47 Converting decimals to fractions

49 Ordering decimals

51 Prime numbers

53 Sequences

53 Square numbers and square roots

53 Triangle numbers

53 Area of a square

56 Expressing one number as a fraction of another

56 Properties of quadrilaterals

57 Adding fractions

59 Formulas

62 Equations

63 Rounding to a given number of significant figures

64 Finding the mean

66 Area of a rectangle

66 Converting percentages to fractions

73 Multiplying decimals

73 Finding any percentage of a quantity

75 Finding one quantity given the ratio and the other quantity

75 Simplifying ratios

75 Links between ratios and fractions

75 Multiplying and dividing negative numbers

75 Rounding to a given number of decimal places

81 Using words to describe the likelihood of events

81 Sum of probabilities = 1

83 Names of quadrilaterals

83 Names of solids

83 Faces, edges and vertices

83 Cube numbers and cube roots

83 Volume of a cuboid

85 Line symmetry

85 Coordinates

85 Rotational symmetry

86 Scale drawings

87 Sum of the angles in a polygon

94 Highest Common Factor and Lowest Common Multiple

94 Prime factor decomposition

94 Index laws

95 Converting between decimals and percentages

99 Division in a given ratio

105 Estimating by rounding to 1 significant figure

110 Converting between metric and imperial units

121 Multiplying out brackets

124 Increasing and decreasing a quantity by a given percentage

124 Expressing one number as a percentage of another

126 Area of a triangle

126 Area of a parallelogram

126 Area of a trapezium

126 Area of a compound shape

126 Area and circumference of a circle

126 Converting between cm2 and m2 and between cm3 and m3

128 Nth term of a linear sequence

132 Factorising by taking a single term outside a bracket

135 Interior and exterior angles

136 Writing whole numbers that satisfy a given inequality

137 Unitary ratios

137 Proportional change

145 Calculating the percentage increase/decrease

145 Experimental probabilities

150 Corresponding angles

151 Drawing pie-charts

151 Interpreting pie-charts

153 Map scales

165 Alternate angles

167 Reciprocals

167 Describing transformations

167 Simple interest

168 Upper and lower bounds for measurements

175 Area and perimeter of a semi-circle

175 Surface area of a cube / cuboid

175 Surface area of a cylinder

175 Volume of a cylinder

175 Volume of a prism

181 Angles at a point

181 Angles in a parallelogram

182 Straight-line graphs

182 Midpoint of a line segment

182 Converting top-heavy fractions to mixed numbers

182 Angles in an isosceles triangle

186 Congruent shapes

186 Showing an inequality on a number line

186 Pythagoras’ Theorem

188 Measurement of capacity (l)

192 Multiplying and dividing fractions

192 Converting fractions to decimals

192 Equations with x on both sides

192 Solving inequalities

192 Equation of a straight line: y = mx + c

192 Length of a line segment

198 Expanding the product of two linear expressions

198 Length of the diagonal in a square with a given side

202 Designing a data collection sheet

202 Collecting a reliable sample

202 Probability as an estimate of relative frequency

202 Listing outcomes for compound events

204 Solving a problem by forming an equation and then solving it

205 Two-way tables

218 Solving equations by trial and improvement

218 Sketching straight-line graphs using y = mx + c

218 Quadratic graphs

222 Rotations

222 Reflections

222 Translations

222 Enlargements

224 Ordering fractions

224 Converting mixed numbers to top-heavy fractions

224 Converting recurring decimals to fractions

228 Correlation

228 Similar shapes

230 Standard form

230 Changing the subject of a formula

232 Stem-and-leaf diagrams

232 Quartiles and interquartile range

232 Factorising quadratic expressions

233 Designing a question for a questionnaire

233 Mean from a frequency table

239 Mean for grouped data

239 Speed/Distance/Time calculations

239 Density/Mass/Volume calculations

245 Interval containing the median

251 Comparing sets of data

254 Compound interest

258 Cumulative frequency graphs

260 Stratified sampling

261 Frequency density

271 Fractional, negative and zero indices

279 Calculating with Standard form

290 Surds

290 Giving answers in surd form and as multiples of π

290 Rationalising a denominator

290 Identifying whether a fraction is represented by a recurring decimal or a

        terminating decimal

290 Upper and lower bounds of calculations

300 Equations of perpendicular lines

307 Bearings

307 Difference between two squares

307 Simplifying algebraic fractions

317 Simultaneous equations

317 Solving quadratic equations

317 Shading regions represented by inequalities

317 Dimensions of measurement

317 Reverse percentage problems

318 Direct proportion

319 Graphs of y = x3 and y = 1/x

324 Calculating the gradient of a straight line

330 Nth term of a quadratic sequence

338 Moving averages

338 Conditional probabilities

338 Tree diagrams

338 Knowing when to add and when to multiply probabilities

339 Height of an isosceles triangle

339 three-dimensional coordinates

339 Pythagoras in three dimensions

343 Box-plots

352 Inverse proportion

361 Trigonometry – finding an angle

365 Trigonometry – finding a side

373 Trigonometric calculations involving bearings

378 Trigonometric calculations involving angles of elevation and angles of

        depression

399 Enlargements using fractional scale factors

399 Properties that are preserved under an enlargement

414 Lengths of arcs and areas of segments of a circle

417 Area of a triangle using 1/2absinC

417 Volume and surface area of a sphere

418 Volume and surface area of a cone

418 Volume of a pyramid

421 Writing a quadratic expression in completed square form

423 Using graphs to find solutions to a quadratic equation

433 Solving quadratic equations by factorising

433 Solving quadratic equations by using the formula

434 Solving quadratic equations by completing the square

444 Vectors

445 Enlargements using negative scale factors

445 Solving simultaneous equations graphically

445 Effect of enlargement on lengths, areas and volumes

448 Simultaneous equations where one is linear and the other is quadratic

448 Sine rule

449 Cosine rule

455 Transformations of graphs

455 Minimum value of a quadratic function

 

“Feedback” sheets are provided for the following sheets:

4, 24, 26, 42, 43, 47, 49, 51, 53, 54, 69, 70, 71, 72, 73, 74, 75, 77, 79, 81, 83, 85, 104, 105, 108, 119, 126, 128, 131, 132, 135, 138, 139, 140, 142, 143, 147, 151, 152, 174, 179, 180, 181, 183, 184, 186, 188, 190, 222, 224, 226, 233, 250, 252, 254, 255, 256, 257, 261, 262, 264, 271, 273, 275, 277, 294, 309, 315, 317, 318, 326, 328, 357, 359, 445