1. National 4 Expressions and Formulae Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Manipulating Expressions and Formulae Q1 Expand the brackets: 6(2a – 3) Q2 Expand the brackets and simplify: 5e + 3(e – 9) Q3 Factorise: 12x – 20 Q4 Simplify: 2a² - 4a + 3a² + 6a Q5 In a car hire shop they calculate the price of a car using the formula: C = 0.9M + 30D Where C is the cost, M is the number of miles and D is the number of days. How much would it cost to hire a car for a week going 350 miles?

2. Q6

3. Q7 The difficulty of a ski run is given by it’s gradient. Green run – Gradient between 2.7 and 11.25 Blue run – Gradient between 11.25 and 18 Black run – Gradient greater than 18. The following run needs to be given a difficulty. What colour of run would you give it? Justify your answer. 1000m 280m

4. 10cm 1.2 Applying Geometric Skills to Circumference, Area and Volume Q1 The following clock has a diameter of 30cm. Calculate: a.) The circumference of the clock b.) The area of the clock Q2 What is the surface area of this triangular prism? Q3 Calculate the area of this trapezium: Q4 What is the volume of this cylinder with a height of 15cm and radius of 4cm?

5. 1.3 Applying Statistical Skills to Representing and Analysing Data and to Probability Q1 The following data was collected of number of hours first year pupils spend on their homework a week. 12, 7, 5, 2, 3, 10, 8, 6, 5, 2 a.) Calculate the mean number of hours spent on homework b.) Calculate the range c.) For pupils in fourth year their mean was 7.8 and their range was 8. Comment on the differences. Q2 You roll a dice. What is the probability that it will land on a number less than 2? Q3 Complete the following frequency table of these results collected about the weight of animals in a zoo (in kg): 12, 8, 3, 25, 30, 56, 44, 16, 59, 50, 42, 18, 25, 33, 34, 40, 15, 35, 36, 45, 38, 15 WeightTallyFrequency 0 - 9 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 Total =

6. Q4 The following table shows the results of a survey taken on how pupils get to school. Fill in the table to complete the pie chart: Travel MethodNumber of PupilsAngle of Pie Chart Walk130 Cycle26 Bus54 Driven60

7. 2.1 Interpreting a Situation and Identifying a Valid Strategy Q1 Q2 If the formula for calculating the nth term of a sequence is given by s = 3n – 2, what is n when s = 10?

8. 2.2 Explaining a solution and/or relating it to context Q1 To meet profit targets in a company the juice container used must have a surface area less than 500cm². Does this container satisfy the target? 10cm 5cm 14cm

9. Next Steps 1.1 Applying Algebraic Skills to Manipulating Expressions and Formulae http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Brackets_Factorising_TJ_Chapter15.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Brackets_Factorising_TJ_Chapter15.pps http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Multiplying_Out_And_Factorising_TJ.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Multiplying_Out_And_Factorising_TJ.xls http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Past_Paper_Algebra.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Past_Paper_Algebra.xls http://www.bbc.co.uk/bitesize/ks3/maths/algebra/formulae2/revision/4/ http://www.bbc.co.uk/bitesize/ks3/maths/algebra/formulae2/revision/2/ http://www.bbc.co.uk/bitesize/ks3/maths/algebra/formulae2/revision/5/ 1.2 Applying Geometric Skills to Circumference, Area and Volume http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Surface_Area_TJ_Chapter7.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Surface_Area_TJ_Chapter7.pps http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Volume_TJ_Chapter8.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Volume_TJ_Chapter8.pps http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_3 _General_Volume_Surface_Area_TJ.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_3 _General_Volume_Surface_Area_TJ.xls http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_The_Circle_TJ_Chapter10.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_The_Circle_TJ_Chapter10.pps

10. 1.3 Applying Statistical Skills to Representing and Analysing Data and to Probability http://www.bbc.co.uk/bitesize/ks2/maths/data/mode_median_mean_range/read/1/ http://www.youtube.com/watch?v=81zcjULlh58 http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm http://www.mathsisfun.com/data/pie-charts.html http://www.mathgoodies.com/lessons/vol6/intro_probability.html http://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Chapter18_TJ_Probability.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Chapter18_TJ_Probability.pps http://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Probability_Statistics_Practice.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Probability_Statistics_Practice.xls 2.1 Interpreting a Situation and Identifying a Valid Strategy http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Symmetry_TJ_Chapter3.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Symmetry_TJ_Chapter3.pps http://www.mathsisfun.com/geometry/symmetry-rotational.html http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Formulae_TJ_Chapter14.ppshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Formulae_TJ_Chapter14.pps http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Past_Paper_Patterns.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Past_Paper_Patterns.xls http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_3_General_Harder_Integer_Practice.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_3_General_Harder_Integer_Practice.xls

11. 2.2 Explaining a solution and/or relating it to context http://www.mathsisfun.com/gradient.html http://www.math.com/tables/geometry/surfareas.htm http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Past_Papers_Volume_Surface_Area.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S 4_General_Past_Papers_Volume_Surface_Area.xls http://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Statistics_Practice.xlshttp://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S 3_General_Statistics_Practice.xls