National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic...
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![Page 1: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/1.jpg)
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
![Page 2: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/2.jpg)
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?
![Page 3: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/3.jpg)
1.2 Applying Geometric Skills to Sides and Angles of Shapes
Q1
![Page 4: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/4.jpg)
Q2
![Page 5: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/5.jpg)
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
![Page 6: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/6.jpg)
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°
![Page 7: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/7.jpg)
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
![Page 8: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/8.jpg)
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?
![Page 9: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/9.jpg)
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?
![Page 10: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/10.jpg)
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)
![Page 11: National 4 Relationships Unit Practice Assessment Split into Topic Areas 1.1 Applying Algebraic Skills to Linear Equations Q1 Complete the table below.](https://reader035.fdocuments.in/reader035/viewer/2022062518/56649ea85503460f94bab433/html5/thumbnails/11.jpg)
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