Little Ilford School Year 11 Set 3 and 4 Homework Book
Name:
9/2/13
6th /8th Nov Exam
November Exam Scheme of learning Exam dates:
Wednesday 6th November 2013 (Non Calculator) Friday 8th November 2013 (Calculator)
Week 1
2nd September 2013
Topics
I need to learn how to…
Transformations
enlarge a shape by a positive scale factor enlarge a shape by a fractional scale factor enlarge a shape by a negative scale factor rotate a shape by 90,180 and 45 Translate a shape by a given vector describe a transformation reflect an image in a mirror line draw simple line graphs
Revision lesson: Highest Common Factor, Lowest Common Multiple, Prime Factorisation week 2
9th september 2013
Topics
I need to learn how to…
Expanding Factorising
expand single brackets expand double brackets expand squared brackets factorise linear expressions factorise simple quadratic expressions factorise using difference of 2 squares factorise difficult quadratic equations
Revision Lesson: Scatter graphs and stem and leaf week 3
16th september 2013
Topics
I need to learn how to…
Cumulative freq. Box Plots
draw a cumulative frequency curve analyse a cumulative frequency curve draw a box plot from a cumulative frequency curve draw a box plot from raw data draw a box plot from a table of information analyse a box plot compare box plots
Revision Lesson: Percentages week 4
23rd Septmber 2013
Topics
I need to learn how to…
Area Surface area Volume
work out the area of a square, rectangle, triangle, parallelogram, trapezium and CIRCLE work out the area of a compound shape solve area problems which include money solve problems with tiles find the surface area of prisms calculate the surface area of prisms find the volume of prisms solve filling problems calculate mass and density from given information
Revision Lesson: Indices and Standard Form
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WEEK 5
30TH SEPTEMBER 2013
Topics
I need to learn how to…
Inequalities Rearranging
find integer solution from a given inequality solve inequality with unknown on one and two sides solve 3 part inequalities represent inequality on a number line rearrange an expression with one and two of the subject
Revision lesson: Plotting graphs
WEEK 6
7TH OCTOBER 2013
Topics
I need to learn how to…
Four operations conversions
break a problem into smaller steps apply four operations to a range of topics convert currency convert using a graph
Revision Lesson: Angles
WEEK 7
14TH OCTOBER 2013
Topics
I need to learn how to…
Pythagoras Trigonometry
find missing lengths using Pythagoras label a triangle correctly find missing lengths using trigonometry find missing angles using trigonometry apply to real life situations
Revision Lesson: Trial and improvement
WEEK 8
21ST OCTOBER 2013
Topics
I need to learn how to…
Probability Questionnaires Sampling methods
find missing probabilities using the probability scale estimate expected probability find probability of a single event find probability of 2 events use AND/OR correctly create and use a probability tree create a questionnaire and with response boxes use stratified sampling
Revision Lesson: Simultaneous equations
WEEK 9
28ST OCTOBER 2013
Topics
Topics to be covered…
HALF TERM REVISION
Quadratics, Ratio, Fractions, Loci, Construction , Bearings, Sequences, Elevation , Number topics
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Enlargement
Now have a go yourself . . . 1)
3 cm
How to . . .
Diagram NOT
The rectangle accurately drawn is enlarged by a scale factor 2. Work out the area of the enlarged rectangle
2 cm
.
2) Enlarge the following shape, using D as the centre of
enlargement, with scale factor 4: D
3) On the grid enlarge the shape by a scale factor of ½
from centre P
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Exam Questions
Checklist Is the shape the right size? Is it in the right place? Have you drawn check lines?
Enlarge the shaded shape by scale factor - ½ with centre (-1 , -2)
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Describe fully the single transformation that maps shape P onto shape Q
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Teacher comment 6
Reflection How to . . .
Now have a go yourself . . . 1) On the grid below draw the lines ‌‌ x=5
y = -2
x=y
1) Reflect shape A in the mirror line x = -1
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Exam Questions Reflect shape A in the line y = 1
Checklist Answers checked Distance between corresponding points to the mirror line the same
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Describe fully the single transformation that maps A to B
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Rotation
Now have a go yourself . . . 1)
How to . . .
2)
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Exam Questions
Checklist Direction checked Answers checked
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 14
Translation How to . . .
Now have a go yourself . . . 1) Describe the movements produced by the vectors below ) For example (−3 4
……… 3 left and 4 up
(−3 ) 4
………………………………
(−3 ) 4
………………………………
(−3 ) 4
………………………………
(−3 ) 4
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2) Translate shape A by the vector (−4 ) −6
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Exam Questions
Checklist Use a vector when describing
Answers checked Keywords …………………………… …………………………… …………………………… …………………………… …………….. Remember …………..……………… …………..……………… …………..……………… WWW
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Teacher comment 18
Primes, Factors & Multiples
Now have a go yourself . . .
How to . . .
Extension 1a) Write 60 as a product of its prime factors b) Find the HCF and LCM of 45 and 60
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Exam Questions
Checklist Answers checked Have you answered the question? Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 22
Expanding brackets
Now have a go yourself . . .
How to . . . 1) −3(5 − 2đ?‘Ś)
2) 4đ?‘Ś(8đ?‘Ś − 7)
3) 6(đ?‘Ľ + 2) − 3(5 − 5đ?‘Ľ)
4) (3đ?‘Ľ − 5)(2đ?‘Ľ + 9) Extension
5) (4đ?‘Ľ − 3)2
Find the expression in terms of đ?‘Ľ for the area
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Exam Questions
Checklist Answers checked have you simplified the answer? Keywords …………………………… …………………………… …………………………… …………………………………… Remember …………..………………
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Teacher comment 26
Factorising
Now have a go yourself . . .
How to . . . 4) 4đ?‘Ą + 10
5) 12đ?‘Ľ 2 + 20đ?‘Ľđ?‘Ś
6) đ?‘Ľ 2 − 2đ?‘Ľ − 8
7) đ?‘Ľ 2 − 9
8) 9đ?‘Ľ 2 − 6đ?‘Ľ + 1
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Exam Questions 1) Factorise
7đ?‘Ś + 21
2) Factorise
6đ?‘Ś 2 − 9đ?‘Ś
3) Factorise
3đ?‘Ž2 đ?‘? + 6đ?‘Žđ?‘? 2
4) Factorise
đ?‘š2 + 3đ?‘š − 40
5) solve
Checklist
Keywords ‌‌‌‌‌‌‌‌‌‌‌ ‌‌‌‌‌‌‌‌‌‌‌ ‌‌‌‌‌‌‌‌‌‌‌ Remember ‌‌‌‌..‌‌‌‌‌‌
‌‌‌‌..‌‌‌‌‌‌ ‌‌‌‌..‌‌‌‌‌‌
đ?‘š2 + 3đ?‘š − 40 = 0
1) Factorise
2đ?‘Ľ 2 + 5đ?‘Ľ + 2
2) Factorise
đ?‘Ś 2 − 100
3) Factorise
9đ?‘Ľ 2 − 1
ď Ż Answers checked ď Ż Have you factorised fully? ď Ż Check answers using expanding
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Teacher comment 30
Scatter Graphs
Now have a go yourself . . .
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Exam Questions
Checklist Answers checked Points plotted Line of best fit Keywords …………………………… …………………………… …………………………… …………………………………… Remember …………..……………… …….. …………..……………… …………..……………… WWW
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Teacher comment 34
Stem and Leaf
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Is the order correct? Have you got a key?
Keywords …………………………… …………………………… …………………………… ……………………….. Remember …………..……………… …………..……………… …………..……………… WWW
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Teacher comment 38
Cumulative Frequency
Now have a go yourself . . .
Complete the cumulative frequency table and draw the graph. Draw the box plot and find the interquartile range
b) Draw the box plot for Mrs Angus’s class
Work out the number of days Lyndsey drives more than 36 miles
Compare the marks of Mr Wilson’s class with the marks of Mrs Angus’s class
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Exam Questions
Checklist Answers checked Check the graph starts from the correct point
Keywords …………………………… …………………………… …………………………… Remember …………..……………… ……………………………………
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Teacher comment 42 C) How many adverts lasted more than 40 seconds? …………….
Box Plots
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Check the scale Compare median & IQR Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 46
Percentages
Now have a go yourself . . .
How to . . . _____________________________________________________________________________________________________________________________________________________________________
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Exam Questions
Checklist Answers checked
Extension
Keywords …………………………… …………………………… …………………………… …………………………………… Remember …………..……………… …….. …………..……………… …………..………………
Multipliers used correctly Divide by multiplier when finding normal price
WWW
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Teacher comment 50
Compound Interest
Now have a go yourself . . .
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Exam Questions
Checklist Remember the formula 𝑎𝑚𝑜𝑢𝑛𝑡 × (𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑒𝑟 𝑦𝑒𝑎𝑟𝑠 ) Answers checked
Keywords …………………………… …………………………… …………………………… …………………………………… Remember …………..……………… …….. …………..……………… …………..……………… WWW
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Teacher comment 54
Area
Now have a go yourself . . .
How to . . .
.
Work out the area
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Exam Questions
Checklist Answers checked Correct units used Question answered Keywords …………………………… …………………………… …………………………… Remember …………..……………… ……………………………………
Extension
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WWW
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Teacher comment 58
Area with price
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 62
Circles
Now have a go yourself . . .
Work out the circumference and area __________________________________________________________________________________________________
Work out the shaded area to 3 s.f. __________________________________________________________________________________________________
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Exam Questions
Checklist Answers checked Correct units used
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Extension
WWW
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Teacher comment 66
Surface Area
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answer checked Have you checked the Units? Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 70
Volume
Now have a go yourself . . .
How to . . .
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Exam Questions
The diagram is a net of a triangular prism on a centimetric grid
Checklist Answers checked Correct units used
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 74 Work out the volume of the prism
Indices
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 78
Standard Form
Now have a go yourself . . .
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Exam Questions Question 1
Question 2
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… ……………………………
Question 3
Remember …………..………………
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Question 4
WWW Question 5
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Teacher comment 82
Inequalities
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Inequality sign used
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 86
Rearranging Equations
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 90
Plotting graphs
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist
Does your graph go through the points plotted Curved graph drawn when graph is not a linear line
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 94
Four Operations – Non Calc
Now have a go yourself . . .
How to . . . ______________________________________________________________________________________________________
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Exam Questions
Checklist Answers checked Break into smaller steps Have you answered the question?
Keywords …………………………… …………………………… …………………………… Extension
Remember …………..………………
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Teacher comment 98
Four Operations – Calculator
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Break into smaller steps Have you answered the question?
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 102
Conversion
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Correct currency used Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 106
Angles – Parallel Lines
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Question answered Reasons given
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 110
Angles - polygons
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Right angles rewritten as 90 degrees Keywords …………………………… …………………………… ……………………………
Extension
Remember …………..………………
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Teacher comment 114
Pythagoras
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 118
Trigonometry
Now have a go yourself . . .
How to . . .
____________________________________________________________________________________________________
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Exam Questions
Checklist Answers checked Answers rounded Correct formula used Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 122
Trial and Improvement
Now have a go yourself . . .
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Exam Questions
Extension
Checklist Answers checked Last middle value checked Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 126
Questionnaires
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Make sure your question includes a time period and has no overlapping response boxes
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 130
Simple probability
Now have a go yourself . . .
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 134
Probability AND/OR
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Independent/dependent checked
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 138
Probability Trees How to . . .
.
Complete the probability tree diagram.
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Exam Questions
Checklist Answers checked Independent or dependent checked Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 142
Sampling Methods
Now have a go yourself . . .
How to . . .
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Exam Questions
Checklist Answers checked Working shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 146
Simultaneous Equations
Now have a go yourself . . . Question 1
How to . . .
Question 2
Question 3
Question 4
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Exam Questions
Checklist Answers checked Working out shown
Keywords …………………………… …………………………… …………………………… Remember …………..………………
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Teacher comment 150