Year 9 sets 3 to 7 Maths Homework – autumn term
Each week there is to be homework set, due in the day the teacher requests.
The topics for each week are listed below.
Week
Homework
number
Topic
1
1.1
Algebraic expressions – worksheet.
2
1.2
Equations – mymaths.
3
1.3
y=mx+c (straight line graphs) – worksheet.
4
1.4
Formula and substitution – mymaths.
5
1.5
Fractions, decimals and percentages –
worksheet.
6
1.6
Fractions – mymaths.
7
1.7
4 Operations and approximation –
worksheet.
8
1.8
BIDMAS and calculator – mymaths.
9
1.9
Probability – worksheet.
10
1.10
Angles in lines and shapes – mymaths.
11
1.11
Construction and loci – worksheet.
12
1.12
Area and perimeter (including circle) –
mymaths.
13
1.13
Key assessment prep. – mymaths.
14
1.14
Pythagoras’ theorem – worksheet.
15
1.15
Key assessment review.
Please note: The date given is the date which the work is being taught in class. The due date may well be
the following week and is at the individual teachers discretion.
Each mymaths homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to attempt.
(Your teacher will tell you which parts you should work up to)
ONLY SPEND AROUND 30mins! If you are struggling, try using mymaths, if this doesn’t help then ask
someone who can, preferably your maths teacher (BEFORE IT IS DUE IN!)
Every other week (roughly) is a Mymaths based homework. These are to be done online using your own
login and password.
The initial school login is testwood and password is pentagon (this may change).
Please remember to click ‘checkout’ at the end so your work is submitted.
 If you do not have the internet at home please use the learning resource centre (open until 4pm Monday –
Thursday, 3.30pm Friday)
(With thanks to Kevin Jobson, JCasey and tes contributors)
Week 1
Name: ………………………………
Due in date: …………
Homework 1.1: Expressions
A.
Simplify
Write each expression in its simplest form.
(i) 6m + 5m + 2m
(ii) 5a +7b + 2a + 6b
(iii) 7 + 2t + 3t
(iv) b + 7 + 2b + 10
(v) 4v x 5y
(vi) 24mn ÷ 16n
L5: Simplify:
1.Write these expressions as simply as possible.
(i) n + 1 + 2
(ii) 3n + 5n
(iii) 2n + 7 + n + 2
2. Multiply (5n + 2) by 3. Write your answer without any brackets.
B. Expand and simplify where possible:
L6: Using equations
(i)5(2e + 3)
(ii)4(2x + 5) + 3(5x + 7)
Factorise
(i)6y + 2
(ii)8r + 12
(iii)12mn + 6m
C. Expand and simplify where possible:
(i) 4(2x + 5) + 3(5x + 7) (ii) (y + 3)(y + 2) (iii) (n + 7)2
Factorise
(i)6y + 2
(ii) 8r + 12 (iii) 12mn + 6m
(iv) x² + 8x + 12
L7: Brackets
Sandeep wants to multiply out the brackets in the expression (k + 4) (k + 7).
He writes
(k + 4) (k + 7)= k2 + 28
Show why Sandeep is wrong.
Please
use the
right hand
side page
for all your
working
out and
answers
unless told
otherwise.
Name: ………………………………
Due in date: …………
Week 2
Homework 1.2: Equations
Mymaths.co.uk Homework Equations
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should complete)
A. Simple
equations
B. Equations
with unknown
on both sides
C. Equations,
includes trial
and
improvement.
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=equations/equationsSimpleOH&taskID=1154
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=equations/solvingEquationsMovieOH&taskID=1182
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=gcseFoundation/ow9equations&taskID=209
Week 3
Name: ………………………………………. Date: ………………
Homework 1.3: Graphs
L5: Drawing graphs.
1. On the grid on the right, draw the graphs of:
(i) y = 2
(ii) x = 4
(iii) x = y
2. Plot the two graphs on the same set of axes.
Use the grid next page.
Please use
the right
hand side
page for all
your working
out and
answers
unless told
otherwise.
(i) y = 2x
x -2
-1
0
1
2
3
(ii) y = 3x - 2
x
y
-1
0
1
2
3
y
B. Using the grid on the right;
(i) Write down the equation of the straight line that passes through the pair of
points : GD.
(ii) Which lettered points lie on these lines:
(1) x = 4
(2) y = 3.
y
6
5
4
3
(iii) Plot the two graphs on the same set of axes.
Explain your answer.
y = 2x - 1
L6:
y = 2x + 2
x
y
-1
0
0
4
2
6
x
y
0
-1
1
C
2
3
G
D
E
A
2
B
1
F
0
1
x
2
3
4
5
3
C. Do all of part B and do the following:
L7: Straight lines
(i) Does the point (2, 5) lie on the graph of y = 2x + 5?
Explain your answer.
(ii) A straight line goes through the points (0, 1), (2, 7) and (4, 13)
Write the equation of this straight line. Explain (show) how you came up
with the equation of the line.
6
Name: ………………………………
Due in date: …………
Week 4
Homework 1.4: Formulae – substitution and rearranging.
Mymaths.co.uk Homework Equations
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should complete)
A. Using
function
machines
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=equations/functionMachinesOH&taskID=1159
B.
Substitution 1
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=equations/solvingEquationsMovieOH&taskID=1182
C.
Substitution 2
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=gcseFoundation/ow9equations&taskID=209
Extension:
Rearranging
formulae
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=simplify/rearrangeOH&taskID=1171
Name: ………………………………
Due in date: …………
Week 5
Homework 1.5: Fractions, decimals and percentages
A. (i) Circle the quantity with the higher value in each of the following pairs: Show
working out on how you made your choice.
(a) or 0.5 (b) 0.7 or 68%
(c) or 30%
By calculating, compare each of the following amounts and put them in the correct
order, from lowest to highest.
(i)
0.3 x £200
(ii) 25% of £200
(iii)
x £200
L5: Percentages
(i) Write the missing numbers.
50% of 60 = ................ 5% of 60 = ...............
1% of 60 = .................
(ii) Work out 56% of 80. You can use part (a) to help you.
B. (i) Match up the following
10% of £35
15% of £24
80% of £5
35% of £11
Please
use the
right hand
side page
for all your
working
out and
answers
unless told
otherwise.
£3·60
£4·00
£3·85
£3·50
£3.06
percentages to their correct
quantities: You must show
all working out.
(ii) (1) Increase 880kg by 15%
(2) Decrease £600 by 65%.
L6: A Level results
Here is some information about A levels in 2002.
How many more students gained grade A in mathematics than in English?
Number of
students
Percentage gaining
grade A
English
Mathematics
72 000
54 000
19%
37%
C. Do all of part B and the L7 question below:
L7: Percentage change
One calculation on the right gives the answer to the question:
(i) What is 70 increased by 9%?
Circle the correct one.
(ii) Choose one of the other calculations.
Write a question about percentages that this calculation represents.
calculation chosen: ...............
question it represents: ................
(iii) Now do the same for one of the remaining two calculations.
calculation chosen: ...............
question it represents: ................
(iv) Write the missing decimal number. To decrease by 14%, multiply by ….
Name: ………………………………
Due in date: …………
Week 6
Homework 1.6: Fractions.
Mymaths.co.uk Homework Equations
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should complete)
A. (i) Proper and
improper
fractions
(ii) Equivalent
fractions
B.
Adding and
subtracting
fractions
C.
Multiplying and
dividing
fractions
Extension:
Mixed numbers
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/improperFractionsOH&taskID=1019
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/equivalentFractionsOH&taskID=1042
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/addingFractionsOH&taskID=1017
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/multiplyingFractionsOH&taskID=1047
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/dividingFractionsOH&taskID=1040
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fractions/mixednosOH&taskID=1074
Name: ………………………………
Due in date: …………
Week 7
Please use the right hand side page for all your working out and answers unless told otherwise.
Homework 1.7: 4 operations and approximation
A. Work out
(i) 784. 2 + 37.5
(ii) 68 x 7
(iii) 467 x 83
(iv) 37.7 x 6
(vi) 4336 ÷ 8
(vi) 87.4 ÷ 3
L5: (1) Season ticket
I pay £16.20 to travel to work each week. I work for 45 weeks each year.
How much do I pay to travel to work each year? Show your working.
L5: (2) Remainder
999 will divide exactly by 37. There is no remainder.
(i) Write down the remainder when 1000 is divided by 37
(ii) Write down the remainder when 998 is divided by 37
(iii) Write down a multiple of 37 that is bigger than 1000
B. Work out
(i)23.4 x 4.5 (ii) 64.2 x 0.43
(iii) 3199 ÷ 7
(iv) 91.8 ÷ 17
(v) 361.6 ÷ 0.8
(vi) 428 ÷ 3.4
L6: (1) Calculate
Calculate 57.3 × 2.1. Show your working.
L6: Rounding:
Round each of the following to: (1) 1 decimal place (2) 2 significant figures:
(i) 3.7452
(ii) 12.3599
(iii) 34.743
C. Work out
(i)23.4 x 4.5 (ii) 64.2 x 0.43
(iv) 91.8 ÷ 17
(v) 361.6 ÷ 0.8
(iii) 3199 ÷ 7
(vi) 428 ÷ 3.4
L7: Approximation/ Estimation/ Rounding
At an athletics meeting, the discus throws are measured to the nearest
centimetre.
(i) Viv’s best throw was measured as 35.42m.
Could Viv’s throw actually have been more than 35.42m?
Explain your answer.
(ii) Chris won the hurdles race in a time of 14.6 seconds measured to the
nearest tenth of a second.
Between what two values does Chris’s time actually lie?
.............................. seconds and .............................. Seconds.
Name: ………………………………
Due in date: …………
Week 8
Mymaths.co.uk Homework
Homework 1.8: BIDMAS: Using correct order of operation
A. Function
Machines
B. Order of
Operations
(BIDMAS)
C. Using calculator
efficiently (including
power and brackets
keys)
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=equations/functionMachinesO
H&taskID=1159
http://www.mymaths.co.uk/tasks/library/loadTa
sk.asp?title=formulae/operationsOrderOH&tas
kID=1167
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=boosters/ow4Calculator&taskI
D=4
Name: ………………………………
Due in date: …………
Week 9
Please use the right hand side page for all your working
out and answers unless told otherwise.
Homework 1.9: Probability
A. If a shape is picked from the container at random what is the probability of the
following shapes being picked.
(a) A circle
(b) A square
(c) A triangle
(d) Any shape apart from A hexagon.
(e) A hexagon
L5: Security lock
A door has a security lock.
To open the door you must press the correct buttons.
The code for the door is one letter
followed by a single digit number.
For example: B6
(i) How many different codes are there altogether?
Show your working.
(ii) I know that the correct code begins with D. I press D, then I guess the single
digit number. What is the probability that I open the door?
B. 1. A bag contains a selection of multilink cubes.
There are 3 red, 5 yellow, 2 blue and 6
green cubes. A cube is picked at random. What is the probability that a blue cube is not
chosen?
2. A traffic light can show amber, red or green only. The probability that a certain traffic
light shows red as James approaches it is 0.25 and the probability that it is green is 0.55.
What is the probability that it is amber?
3. Two dice are rolled together and the product of the two numbers is found. Construct a
sample space diagram.
L6: Vowels
A computer is going to choose a letter at random from an English book.
The table shows the probabilities of the computer choosing each vowel.
Vowel
A
E
I
O
U
Probability
0.08
0.13
0.07
0.08
0.03
What is the probability that it will not choose a vowel?
C. Do all of part B and do the L7 question below:
L7: Expected number of outcomes.
Sunita plays a game of chess. She can win or draw or lose the game.
The table shows each of the probabilities that she will win or draw the game.
If Sunita plays 200 games, work out
Result
Win
Draw
an estimate of the number of
Probability
0.6
0.3
games she will lose.
Lose
Week 10
Homework 1.10: Angles in lines and shapes
Mymaths.co.uk Homework
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should work up to).
A. Angles in
lines and
triangles
B. Angles in
triangles and
polygons
C. Angles in
parallel lines
Angles in parallel
lines, polygons
(includes bearings).
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=angles/anglesumsOH&taskI
D=1082
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=angles/exteriorOH&taskID=1
100
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=angles/parallelOH&taskID=1
109
http://www.mymaths.co.uk/tasks/library/load
Task.asp?title=gcseFoundation/ow11Angles
&taskID=211
Week 11
Name: ………………………….………
Due in date: …………
Homework 1.11: Construction
A. 1. Draw these angles accurately using ruler and protractor.
(i) 60
(ii) 97
(iii) 210
2. Construct these triangles accurately: Measure and
state the length of the missing side.
(i)
(ii)
Please use
the right
hand side
page for all
your working
out and
answers
unless told
otherwise.
L5: Construction
Sally says it is possible to draw a triangle with these side lengths: 5 cm, 5 cm
and 12 cm.
Is she correct? Explain how you know?
B. Construct these triangles using a ruler, compasses and protractor.
[Hint: Sketch the triangle before drawing it accurately].
(i)Triangle PQR: length PQ= 4cm, angle P= 120°, length PR= 6cm.
(ii) Triangle ABC: length AB=6cm, angle A = 20°, angle B = 140°.
(iii)Triangle ABC: length AB=10cm, length AC=4cm, length BC=8cm.
L6: Bisectors: (Leave all constructions to show how you came up with your answer).
(i)Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular
bisector of the line segment.
(ii)Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle.
C.
(i)Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular
bisector of the line segment.
(ii)Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle.
(iii)Make an accurate drawing of an equilateral triangle with sides 8 cm in length.
(iv)Make an accurate drawing
of the quadrilateral ABCD.
D ia g ra m N O T
a c c u ra te ly d ra w n
D
5 cm
C
4 cm
120°
A
8 cm
B
Week 12
Homework 1.12: Area and perimeter
Mymaths.co.uk Homework
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should work up to)
A. Area
Perimeter
B. Area of
shapes
C. Area and
perimeter
(including
circles)
Extension:
Volume and
surface area.
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fourbooster/ow12PerimeterAndArea&taskID=72
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=boosters/ow9Areas&taskID=9
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=gcseFoundation/ow13area&taskID=213
1. Surface area of cuboids
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=areas/netsOH&taskID=1107
2. Volume
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=gcseFoundation/ow14Volume&taskID=214
Homework 1.13: Key assessment prep.
Week 13
Mymaths.co.uk Homework
This homework is divided into 3 sections, A B & C.
A is for all pupils to attempt.
B is slightly harder and for most pupils to attempt.
C is the higher level work for some pupils to
attempt.
(Your teacher will tell you which part(s) you should work up to)
Fractions,
decimals and
percentages
Area of shapes
Probability
Lines and
angles.
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fourbooster/ow7Percentage&taskID=67
http://www.mymaths.co.uk/tasks/library/loadTask.asp?ti
tle=fourbooster/ow12PerimeterAndArea&taskID=72
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=boosters/ow11Probability&taskID=11
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=boosters/ow8Angles&taskID=8
Coordinates
and graphs
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=gcseFoundation/ow10graphs&taskID=210
Equations and
inequalities
http://www.mymaths.co.uk/tasks/library/loadTask.asp?
title=gcseFoundation/ow9equations&taskID=209
Homework 1.14: Pythagoras’ theorem
Please use the right hand side page for all your working out and answers
unless told otherwise.
A. Pythagoras’ theorem:
(i) Copy and complete this table:
(ii) What do you notice?
(iii) Using the mymaths website or
the BBC bitesize website or any
other source, state in full what
Pythagoras’ theorem says.
A
L5: Area
Calculate the area of the
square which has AC as one
7 cm
of its sides.
B. As in A
B
8 cm
Week 14
a
b
c
3
4
5
5
7
12
10
24
26
4
5
6
6
8
10
C
C. Pythagoras’ theorem.
Calculate the length of the sides marked with the letter x.
(i)
(ii)
(iii)
(iv)
L7: Triangle calculations
Is it possible to have a triangle with the
angles and lengths shown below?
Show calculations then state Yes or No.
a²
b²
c²