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National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below for the equation y = 3 – x x -2 0 y Hence draw the graph of equation y = 3 – x 2 Q2 Change the subject of the following formula to a: a² + b² = c² Q3 Solve the equation: 4a + 7 = 3 Q4 What is the equation of the line in this diagram? 1.2 Applying Geometric Skills to Sides and Angles of Shapes Q1 Q2 Q3 Calculate the size of angle x in this diagram: x° 106° 42° Q4 The base length of this triangle is 12cm and the height is 8cm. Calculate the perimeter of the triangle: 8cm 12cm 1.3 Applying Trigonometric Skills to Right-Angled Triangles Q1 Calculate the size of angle x in this right angled triangle. Round your answer to the nearest degree: 12cm x° 25cm Q2 Calculate the length of side y in this right angled triangle: y 54° 3m 1.4 Applying Statistical Skills to Representing Data Q1 A class were asked their shoe size and weight. This is shown in the table: Student Shoe Size Weight (kg) Sophie 3 36 Allan 7 58 Chris 9 60 Alice 5 50 Aidan 6 46 Fiona 6 45 Harry 7 65 a.) Draw a scattergraph of these results. b.) Draw a line of best fit on your scattergraph. c.) Alex has a shoe size of 4, use your line of best fit to estimate her weight. d.) Ryan says that if you have a weight above 50kg you will have a shoe size above 5. Is he right in saying this? Give a reason for your answer. 2.1 Interpreting a Situation where Mathematics can be used and Identifying a Valid Strategy Q1 What is the length of a line joining points (1, 3) and (5, 6)? Q2 What is the size of angle x in this semi-circle? 5cm 10cm x 2.2 Explaining a Solution and Relating it to Context Q1 A surveyor knows that for a telephone pole to be legal is not to be more than 25m tall. He looks at the following telephone pole, it is legal or not? Next Steps 1.1 Applying Algebraic Skills to Linear Equations •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Straight_Line_TJ_Chapter6.pps •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Straight_Line_Practice.xls (Just questions 1 and 2) •http://www.mathsisfun.com/equation_of_line.html •http://www.algebrahelp.com/worksheets/view/simplifying/substitution.quiz •http://www.interactivestuff.org/sums4fun/substitute.html •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Formulae_TJ_Chapter14.pps •http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/formulaehirev1.shtml 1.2 Applying Geometric Skills to Sides and Angles of Shapes •http://www.youtube.com/watch?v=cYhio7TBOFM (don’t worry about the centre of enlargement) •http://www.youtube.com/watch?v=Tr7QazlNEcI •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Angles_In_Circles_TJ_Chapter12.pps (ignore SOH CAH TOA) 1.3 Applying Trigonometric Skills to Right-Angled Triangles •http://www.mathsisfun.com/algebra/trigonometry.html •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_3 _General_SOHCAHTOA_Practice.xls •http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_G eneral_Past_Papers_SOHCAHTOA.xls 1.4 Applying Statistical Skills to Representing Data •http://www.education.gov.uk/schools/careers/traininganddevelopment/professional/b002 11213/numeracy/areas/scatter-graphs •http://www.youtube.com/watch?v=soi-1wXQLoM 2.1 Interpreting a Situation where Mathematics can be used and Identifying a Valid Strategy •http://www.mathsisfun.com/pythagoras.html •http://www.purplemath.com/modules/distform.htm •http://www.mathsrevision.com/index_files/Maths/Presentations/S3_Presentations/S3_3 _Angles_Circles_Revision_MIA.xls (questions 5 - 13) 2.2 Explaining a Solution and Relating it to Context •http://www.onlinemathlearning.com/trigonometry-problems.html