Transcript National 4 Relationships Practice Assessment with Next Steps

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