Years 10 Revision Resources available

Student Shared Area resources: See detail in table below
www.dls-jersey.co.uk /
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Folder
Description
Title
Maths Help Available in the main
Booklet for ‘Maths’ folder; this
students
provides a summary of
each of the main topics
at GCSE. A hard copy of
the booklet can be
obtained from the Maths
Department.
10 Ticks
Huge number of
Practice
worksheets arranged by
worksheets National Curriculum
Level. Students will
benefit from practising
worksheet designated
from level 5 to levels 7_8
(targeting D grade to B
grade content). Not all of
the levels 7_8 content is
relevant to the
Foundation tier of entry
and much relates to
Higher tier.
Past Papers Past papers dating back
to 2011 for a range of
examination boards.
Students at De La Salle
are prepared for the
AQA examination board
papers and will be doubleentered for both AQA
Guidance for use
Use the contents page at the front
of the booklet to look up key topics.
These are sorted by ‘Number’,
‘Algebra’, ‘Statistics’ and ‘Shape and
Space’. The booklet summarises the
methods taught throughout
secondary school and provides a tool
for students to complete
independent research when stuck.
Open excel document entitled; “A
Topic reference” and use the ‘Find
and select’ option on the tool bar to
‘Find’ specific topics by key word
search.
Note the ‘Ref.’ Including level of
pack, pack number and page number
Select the pack and print off / view
relevant pages. Answers are included
in separate folders.
Use the ‘Recommended Foundation
examination practice’ column in the
Study Plan to complete a past paper
each week, alternating between NonCalculator and Calculator papers.
Check solutions using the mark
schemes and highlight areas of
miscomprehension or weakness.
and WJEC papers in June
of Year 11. Past papers
are accompanied by mark
schemes.
Homework
papers
This folder contains
copies of all of the KS4
homework papers which
are designed to provide
ongoing revision towards
the final examinations.
Schemes
of learning
This contains folders
showing our teaching
methodology which
explains how to
understand topics within
each of the main areas of
‘Arithmetic’ (Number and
Algebra), ‘Statistics’ and
‘Shape, Space and
Measure’.
Attend the weekly Maths clubs to
address these areas.
Use the ‘Maths Help Booklet for
students’ in the student shared area
(or obtain a hard copy from the
Maths department) to help with
independent study and to look up
topics while completing the past
papers.
While students will continue to be
set homework papers on a weekly
basis and all students are expected
to complete these or correct these
to a minimum C grade pass (see
grading in footnotes on each paper),
students can revisit old assignments,
or access future assignments
through this folder. Staff in the
department are happy to mark
completed papers and support
students with areas of weakness.
Identify an area of weakness, or
focus on a recommended topic focus
as shown in the Study Plan, and
target a relevant worksheet in the
‘Topic Revision worksheets’ folder
within the ‘Schemes of Learning’
folder.
Use the learning plans to review the
methods taught in class. These
learning plans provide more detail
than each of the summary pages in
the student ‘Maths Help Booklet
for students’.
ESSENTIAL GCSE MATHEMATICS FACTS FOR ALL STUDENTS:
STUDENTS MUST MEMORISE THE FOLLOWING:
N
Not to scale:
N
Bearings are measured from north in a clockwise
direction and are written with 3 figures
eg Bearing of B from A is 048o Bearing of A from B is 312o
A
B
48o
312o
Interior angles of a triangle add up to 180 degrees
Interior angles of a quadrilateral add up to 360 degrees
Interior angles of a pentagon add up to 540 degrees etc
Exterior angles of any shape add up to 360 degrees
a
b
c
d
e
f
g
h
Parallel Lines and Transversals
Opposite angles are the same (a & d , b & c , e & h , f & g)
Corresponding angles are the same (a & e , b & f , c & g , d & h)
Alternate angles are the same (c & f , d & e)
and all angles on a straight line are supplementary meaning they
add up to 180 degrees
Perimeter = length around the outside edge of a closed shape
Area of a rectangle = length × width cm2
cm
(area is equivalent to counting how many squares)
Area of a triangle = ½ base × height cm2 (complete the triangle into a rectangle then halve the
area)
l1
h
Area of trapezium = (average of length 1 and length 2) × height
i.e.
l2
Volume of a prism = Area of cross section × length of prism
tangent
cm3
Parts of a circle,
chord
radius
l1  l 2
 h cm2
2
diameter
circumference and area
sector
circumference
C = πd
A = πr2
“Cherry pie’s delicious,
Apple pies are too!
Circumference of circle = п × diameter (where п ≈ 3.14)
Area of circle = п × radius2
Pythagoras’ Theorem: for any right-angled triangle: a2 + b2 = c2
Remember: always label the length opposite the right angle: “c”
c
b
a
b
Imperial to metric conversions
2.2 pounds (lbs) ≈ 1 kilogram
5 miles ≈ 8 kilometres
1 gallon ≈ 4.5 litres
1 inch ≈ 2.5 centimetres
1.75 pints ≈ 1 litre
1 foot ≈ 30 centimetres
Metric equivalences
10 millimetres = 1 centimetre
100 centimetres = 1 metre
1000 millimetres = 1 metre
1000 metres = 1 kilometre
1000 milligrams = 1 gram
1000 grams = 1 kilogram
1000 kilograms = 1 (metric) tonne
Compound measures:
Speed =
𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒
𝑇𝑖𝑚𝑒
Imperial equivalences
12 inches = 1 foot
14 pounds = 1 stone
𝑀𝑎𝑠𝑠
Density = 𝑉𝑜𝑙𝑢𝑚𝑒
Naming some common shapes and properties of shapes
2D
3D
Equilateral triangle (all sides same length)
Isosceles triangle (2 sides same length)
Scalene triangle (all sides different length)
Triangular-based pyramid (tetrahedron)
Square-based pyramid
Cone
Square
Rectangle
Rhombus (like a diamond … diagonals perpendicularly bisect)
Parallelogram (2 pairs of parallel sides)
Kite (one diagonal perpendicularly bisects the other)
Trapezium (just one pair of parallel sides eg:
)
Cube
Cuboid
Triangular prism
Cylinder
(understand the word prism!)
Equivalent fractions, decimals and percentages:
1
2
 0.5  50%
1
3
 0.3333...  33.333...%
1
8
 0.125  12.5%
1
9
 0.1111...  11.11...%
1
4
 0.25  25%
3
8
2
3
3
4
 0.75  75%
 0.2  20%
2
5
 0.4  40%
 0.6666...  66.666...%
 0.375  37.5%
2
9
1
5
5
8
 0.625  62.5%
7
8
 0.875  87.5%
 0.2222...  22.222...% etc
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 … etc
Square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … etc
Cube numbers: 1, 8, 27, 64, 125 … etc
Triangular numbers: 1, 3, 6, 10, 15, 21, 28, … etc
Equation of a straight line:
or
y = mx + c
…
y=…x+…
(where m is the gradient and c is the y-intercept)
Averages and spread:
f = frequency (this means “how many”)
x = the variable
Mean: Sum of values ÷ number of values
(this involves “making all piles the same size”)
Median: Middle value when written in size order
Mode: Most common value
Range: Largest value – smallest value