This is our prediction for the Calculator Paper. Please note this is only a guide

Transcription

1 This is our prediction for the Calculator Paper Please note this is only a guide Topics marked with a H are harder (A/A*)

2 Handling Data Easier Pie Charts Mean Questions Mean from a table Comparing box plots Easy probability 2 way tables Frequency Polygon Harder Histograms Stratified Sampling

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6 Estimate the mean from this frequency table? No of Minutes Frequency 0 t < t < t < t < t < 50 1

7 Estimate the mean from this frequency No of Detentions table? Frequency

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10 Compare the distribution of the box plots?

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12 56 students were asked if they watched tennis yesterday. 20 of the students are boys. 17 girls watched tennis. 13 boys did not watch tennis. a) Find the number of boys who watched Tennis

13 Draw a frequency polygon Time t (minutes ) Frequen cy 0 t < t < t < t < t < t <

14 The table shows some information about the pupils at Statson School. Kelly carries out a survey of the pupils at Statson School. She takes a sample of 80 pupils, stratified by both Year group and gender. (a) Work out the number of Year 8 boys in her sample. Year group Boys Girls Total Year Year Year Total

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17 Easier Compound Interest/Depreciation Percentage Change Proportion e.g. 5.7g for Rupees, how much is 4.5g. Exchange Rates Use a calculator Ratio Standard Form Prime Factors Number Harder Reverse Percentages Bounds Proportionality

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19 Turn into Standard Form Turn into Ordinary Numbers

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21 Which is the best option to invest 3000 in the bank for three years? FIRST BANK Simple Interest 4% per year COMPLEX BANK Compound Interest 4.5% for the first year 2% for every year after?

22 Which is the best option to invest 2000 in the bank for three years? FIRST BANK Compound Interest 3% per year COMPLEX BANK Compound Interest 4% for the first year 2% for every year after?

23 A car costs It depreciates at 12% per year. How long does it take for the car to be worth less than 6000

24 A Stereo is reduced from 140 to 110. What is the percentage reduction? Percentage Change Actual Change Original 100 Percentage Change Percentage Change Percentage Change 21.42%

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29 Ratio Anna and Bob split sweets in the ratio 3:5. Bob has 75 sweets. How many does Anna have? Dean is 12 Ellie is 15 Freddie is 17. They split 220 in the ratio of their ages. How much does Freddie get?

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35 The average fuel consumption (c) of a car, in kilometres per litre, is given by the formula c = f / d where d is the distance travelled, in kilometres, and f is the fuel used, in litres. d = 163 correct to 3 significant figures. f = 45.3 correct to 3 significant figures. By considering bounds, work out the value of c to a suitable degree of accuracy. You must show all of your working and give a reason for your final answer. H

36 Shape, Space and Measure Easier 3D Coordinates Bearings Using a compass Similarity inc cm 2 and m 3 Density Surface Area of cylinder Surface and Volume Plans and Elevations πr 2 πd Sector Harder Circle Theorems Vectors Trigonometry Sine and Cosine Rule Area of Triangle

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44 A C B D 3cm from the point C 5cm from the line AB Nearer B than C

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46 Calculate the Surface Area? 5cm 6cm 7cm 2cm

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49 Calculate the Volume of this Cylinder 5cm 12cm

50 Calculate the Surface Area of this Cylinder 5cm 12cm

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52 Find BC and AC A 8cm 4cm D 5cm E 4cm B C

53 5m 3 into cm 3 8m 2 into cm 2

54 A B 4cm 8cm The volume of A is 80cm 3 Find the Volume of B The surface area of B is 160cm 2 Find the Surface Area of A

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69 Easier Algebraic Fractions Trial and Improvement Plotting cubic/quadratic/reciprocal Expanding Brackets Solving equations Inequalities Factorising Simultaneous equations Nth Term Algebra Harder y=mx+c (Perpendicular and Parrellel) Sim Equations with quadratic Quadratic Formula Completing the square sinx/cosx graphs Circle equations

70 Find the Nth Term of 5, 8, 11, 14 3, 5, 7, 9 4, 6, 8, 10 What is 8 th term of sequence 6n-1? Is 32 in the sequence?

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76 Expand Expand Expand Expand Expand 4( x 4a( a 4( x ( x (3x Expand(4x 4) 4) 4)( x 1)(2x 2 1) 2) 3( x 9) 3) 3)

77 Factorise 4x 8 Factorise 6x 2 10x Factorise x 2 8x Factorise x 2 7x 12 Factorise x 2 3x 40 Factorise x 2 9

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82 Solve 4( x 1) 2x 10 Solve 3x

83 Trial and Improvement x 2 +2x + 3 = 34 Solution between 4 and 5

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85 x 4 2x x 1 x p 2 p 6

86 9 x 5 x 2 1 H

87 Draw x 2 +y 2 = H -4

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92 The equation of the line L1 is y = 3x + 2. The L2 is parallel to L1 and goes through the point (5, 7). Find the equation of the line L2 H

93 The equation of the line L1 is y = 2x - 1. The L2 is perpendiculr to L1 and goes through the point (4, 8). Find the equation of the line L2 H

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95 H Solve 5x 2 3x 2=0

96 Express x 2 + 6x 8 in the form (x + a) 2 +b H