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1 General Question Paper Analysis Calculations and basic numeracy BODMAS Add, subtract, divide, multiply Multiply or divide by multiples of 10 Squares, square roots, prime numbers Work with decimals Compare and order numbers in decimal, percentage, fraction or other form Change between fraction/decimal/percentage 6 2 Reading scales - units conversions 4b 6 Positive and negative numbers work with examples using temperature and bank accounts Fractions Fractions of a quantity 1d 1d 1d Add, subtract or multiply simple fractions 1d 1d 1d Percentages Percentage of a quantity, Percentage discounts VAT calculations (Reverse percentage calculations) a d 3a Express a quantity as a percentage of another quantity 8 Reasoning and Enquiry number applications incl. Examples: calculating holiday prices, car hire, membership fees, TV packages, vets fees, Bus & Train Travel, Postage,etc.from a table. Calculating the cost of a food bill etc from a table. Accuracy, tolerances and limits b b 10c 9 1d d 1 10b 3 7 Rounding nearest whole number or unit one, two or three decimal places one or two significant figures Standard form/scientific notation Write a number in scientific notation 3b 9 4b Change back to normal or floating point notation

2 Lifestyle & Money Calculations Wages and Earnings Basic pay, overtime, commission, piece rate, gross pay, Pension, NI, Tax, deductions, net pay, Bank accounts, simple interest calculations Comparing interest from different accounts Interest Loans and over interest 6 months, calculations 1 year, 2 years etc HP and credit Agreements Deposits, weekly or monthly payments Mortgage repayments 11 3b Life Insurance, Travel insurance working from percentages or a table Home Insurance - buildings, contents Motor car running costs Fuel, running costs, insurance also using tables 1 1,c 12 Foreign currency exchange Change to dollars or Euros Change dollars or euros back to Comparing prices in different currencies. 5 Buying and selling. Calculate change, total costs Calculate/compare prices with/without VAT Calculate profit using % e.g 15% profit 8 6 Utility bills - e.g. Phone, Electric, gas including mobile phone tariffs Appreciation and depreciation Distance, Time and Speed. Calculate distance, time or speed using the DST triangle also be able to express time as a decimal fraction of an hour Work with time and date intervals Calculate how long in hours and minutes Calculate using the calendar in days and months Read and interpret distance/speed - time graphs

3 Algebra Breaking brackets and simplifying e.g. 2(3x + 1) + 3(x - 4) 9a 9a Factorising fully e.g. 15x + 10y 9b 4b 6a 8b Solving equations e.g. 5x - 2 = 2x + 19 e.g. 3(x + 1) = 12 9a 6b 8a Solve inequations / inequalities e.g. 2k b 9b Forming simple equations from context situations and solving the equation Using formulae Substituting numbers into a formula Using a formula Applying a formula in context 12 Patterns and formulae Completing a table of values Making up a rule or formula Using the formula to calculate another value Using the formula in reverse to work backwards Solving pairs of equations Using reasoning and enquiry or a graph e.g. 2 bottle of juice and 1 sandwich costs bottle of juice and 1 sandwich costs 2.00 Find cost of 4 bottles of juice and 3 sandwiches 4b 4c 3a 3b 3c 3d 4b 4c 6a 6b 6c 4b 4c 3a 3b 3c Gradients, Lines and Graphs Plot points on a graph Read coordinates of a point on a graph Deduce position of other points e.g. plot point to make the shape a kite Complete a table from an equation Plot the graph from a table Find the gradient of a straight line on a graph 5 Find the equation of a straight line 5c 3a 5c

4 Pythagoras Use Pythagoras in a right angle triangle Finding the hypotenuse Finding a shorter side Solve simple problems using Pythagoras e.g. diagrams in which the right angled triangle must be identified such as a trapezium Checking a triangle is right angled, using Pythagoras 7 Using Pythagoras with coordinates to find diagonal distances between two points Trigonometry Using SOH-CAH-TOA in right angled triangles to find a side e.g. cos 37 = x / Using SOH-CAH-TOA in right angled triangles to find an angle using the 2nd function button. e.g. angle x = sin -1 (5/7) Working with angle of elevation and angle of depression in real life problems. Scale Drawings Making or completing simple scale diagrams using 3-figure bearings and scales Use reasoning and enquiry to make deductions. 13

5 Angles and angle properties Finding angles around a point (add up to 360 ) 9 Working with 3-figure bearings Using angle properties of straight lines right angles, straight angles, supplementary complementary angles Angle properties of parallel lines vertically opposite, corresponding, alternate angles 8 Triangle properties angles add up to 180 isosceles, equilateral triangles Angle properties of shapes; e.g. square, rectangle - angles, sides and diagonals kite and rhombus - symmetry parallelogram Circles and tangents Circle properties - diameter, radius, circumference 11 Calculate circumference of a circle C = πd Calculating circumference of a half or quarter cirle Calculate area of a circle C = πr 2 Calculate area of a quarter, half, sixth of a circle etc. 3 Angle in a semi-circle = 90 Angle between a tangent and radius = Isosceles triangles in the circle, formed by radii. identify equal angles and equal sides (radii) Chords and Symmetry Using Pythagoras in the circle Using Trigonometry in the circle Geometry Quadrilateral Properties Square and rectangle properties Kite and rhombus properties Parallelogram properties Trapezium properties

6 Areas, Perimeters, Volumes Calculating perimeters of squares, rectangles, rhombus and composite shapes including part circles Calculating area of squares, rectangles, circles, triangles and composite shapes including part circles. 6a, a Calculating area of triangle - 1 / 2 base height 13 Calculating area of kite and rhombus Calculating volume of cubes and cuboids 8,b 13a 12 Calculate volume of cylinder - πr 2 h 3a 3 Calculate volume of a prism - Area of cross section height (or length) 1 10b Reverse area or volume calculations to find height b Working with cm 3, litres and millilitres (mls) Surface area of cube and cuboid Surface area of cylinder - πdh or 2πrh 11 Surface area and nets of solids Nets of cube and cuboid Net of cylinder Net of triangular prism Net of square based pyramid 3 14 Reasoning and enquiry applications using perimeter, area and volume 6a 6b 10b 9b Symmetry and Tiling Line or reflection symmetry - complete a drawing 3 5c 3b Rotation or turn symmetry - complete a drawing 3 4 Continue a tiling 5 4 Scale models and similar shapes Enlarging and reducing using a scale factor 7 Calculations using similar shapes - - Finding the scale factor - Using the scale factor to find another dimension 7 11 Using similar triangles 11 Make and use a scale drawing to represent a shape, bearings or courses 8a 8b 7 13 Enlarge or reduce a shape on a grid

7 Proportion and variation Using unitary method for direct proportion 2 4, a 3a, b Direct propertion, finding and using formula e.g. T L T = kl use given information to find k and then write down equation. 10b 2 12a 12b Using ratio and proportion in applications - sharing a quantity in a given proportion examples - sharing money, mixing paints - scaling recipes. e.g. share 250 in the ratio 3 : 2 10b Statistics and graphs Read and interpret data in tables Read, interpret draw, data (line and bar graphs) 5,b Read and interpret data displayed in pie charts Calculations using pie charts (percentages, fractions) 1 Read, interpret, draw scatter graphs Work with line of best fit 8a 8b, c Read, interpret and draw stem and leaf diagrams identify range, mode and median 2a 2b 2a 2b 8a, b, c 8a 8b Statistics and calculations Calculating the mean including with both positive and negative numbers 3 Finding the mode, median and range Calculating the mean using a frequency table 3 2a, b 10 7 Combining means eg John has 10 worms with a mean of 7cm long Jim has 6 worrms with a mean of 8 cm long Find the mean if they put all their worms together. Arrangements Finding all the different combinations in a table e.g. soup, maincourse, sweet from a selection of 3 different soups 2 main courses, 3 sweets Probability Calculate simple probability e.g. Find probability that Debbie picks a green sweet 9a 2a 3 6 6a 9a 8a Calculate conditional probability e.g. Find probability that Debbie picks a green sweet if she has already taken a pink sweet. 9b 2b 6b 9b 8b