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

Hence draw the graph of equation y = 3 – x

x -2 0 2

y

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:

Q4 The base length of this triangle is 12cm and the height is 8cm. Calculate the perimeter of the triangle:

x°

42°106°

12cm

8cm

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:

Q2 Calculate the length of side y in this right angled triangle:

25cm

12cm

x°

y

3m

54°

1.4 Applying Statistical Skills to Representing Data

Q1 A class were asked their shoe size and weight. This is shown in the table:

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.

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

x

5cm10cm

2.1 Interpreting a Situation where Mathematics can be used and Identifying a ValidStrategy

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?

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 Steps1.1 Applying Algebraic Skills to Linear Equations

•http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_General_Straight_Line_TJ_Chapter6.pps

•http://www.mathsrevision.com/index_files/Maths/Presentations/S4_Presentations/S4_General_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_General_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_General_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_General_Past_Papers_SOHCAHTOA.xls

1.4 Applying Statistical Skills to Representing Data•http://www.education.gov.uk/schools/careers/traininganddevelopment/professional/b00211213/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 ValidStrategy•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