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Year 7 Maths Revision Mr Abraham’s, Mr Grogan’s and Mr Powell’s Groups
The Year 7 exam will consist of two 45 minute papers. Both Paper 1 and Paper 2 will be Non-Calculator. The content
tested will be topics studied in Year 7 since September. The chapter references are to those in the Collinsconnect 1.3
textbook. The MyMaths column is the name of the MyMaths lesson available online. Search the given title to find
the link in the search box on MyMaths.
Chapter
Topic
Notes
MyMaths
1
Use of
numbers
I can show my understanding of how the number line
extends to include negative numbers.
Introducing
negative
numbers
I can understand and use inequality symbols; < for less
than and > for greater than.
I can carry out addition and subtraction involving
negative numbers.
I can carry out multiplications involving negative
numbers.
2
Sequences
I can work out the term-to-term rule for a sequence.
I can work out the operation in a function machine that
uses one rule, when I am given the inputs and outputs.
I know the square numbers up to 15

15.
I can work out the inputs when given the outputs and the
rules for an inverse function machine.
Negative
numbers 1
Negative
numbers 2
Generating
sequences
Squares and
triangles
Arithmetic
sequences
I can work out any term in a sequence, given the first
term and the term-to-term rule.
Recognising
sequences
I can recognise and work out the sequence of triangular
numbers.
Function
machines
I can investigate the patterns and connections within the
square and triangular numbers.
I can recognise and work out the numbers in the
Fibonacci sequence and in Pascal’s triangle.
I can work out the operations in a function machine that
uses more than one rule, when I am given the input and
output values.
I can work out the nth term for any linear sequence.
I can investigate a given rule and reach a conclusion
about whether it always works.
3
Perimeter,
area and
volume
I can use the formula A = lw to work out the area of a
rectangle.
Area of
rectangles
I can find the perimeter of compound shapes.
Area of a
triangle
I can find the area of compound shapes.
I can work out the area of a triangle, of a parallelogram
and of a trapezium by using the appropriate formula.
4
Area of a
trapezium
I can use the formula S = 2lw + 2lh + 2wh to work out the
surface area of a cuboid.
Area of a
parallelogram
I can use the formula V = lwh to work out the volume of a
cuboid.
Volume of
cuboids
Decimal
numbers
Add and
subtract
decimals
I can add and subtract decimal numbers.
I can multiply and divide decimal numbers by 100, 1000,
10 000 and 100 000.
I can estimate answers and check if an answer is about
right to one decimal place.
I can round off to one decimal place.
I can multiply and divide a decimal by a decimal.
Multiply
decimals by
10 and 100
Estimating
introduction
Rounding
decimals
Multiply two
decimals
Dividing a
decimal by a
decimal
5
Working
with
numbers
I know and can use square numbers up to 15
corresponding square roots.

15 and
Short and
long
multiplication
I can round up or down to one decimal place.
Long division
I can use the correct order of operations to carry out
calculations.
I can use written methods to carry out calculations
involving multiplications and divisions.
I can convert units of measurements and calculate with
them.
I can use written methods to carry out multiplications
Squares and
cubes
Rounding
decimals
Multiply two
decimals
and divisions involving decimals.
I can round up or down to two decimal places.
I can round to one significant figure.
6
Statistics
I can use a data collection form and tally charts to collect
data.
Dividing a
decimal by a
decimal
Significant
figures
All averages
I can find the mode and range for a set of data.
Grouping
data
I can find the median and the mean for a set of data.
Type of data
I can compare two simple sets of data.
I can group data, where appropriate, into equal class
intervals.
I know the difference between discrete and continuous
data.
7
Algebra
I can write simple algebraic expressions.
Simplifying 1
I can substitute numbers into algebraic expressions, such
as 2n + 3.
Simplifying 2
I can find equivalent algebraic expressions, such as 3x +
2x and 7x - 2x.
I can simplify algebraic expressions such as 2a + 5a by
collecting like terms.
I can substitute values into simple formulae.
Introduction
to algebra
Rules and
formulae
Substitution 1
I can construct formulae to show connections between
variables.
I can simplify algebraic expressions such as 2a + 5b + 5a +
7b by collecting like terms.
8
Fractions
I can find equivalent fractions, and compare fractions
with different denominators.
Equivalent
fractions 2
I can write fractions in their simplest form.
Equivalent
fractions 3
I can add and subtract with different denominators.
I can convert between mixed numbers and improper
fractions.
I can add and subtract mixed numbers with different
denominators.
Adding
subtracting
fractions
Improper and
mixed
fractions
9
Angles
Measuring
angles
I can draw and measure angles.
I can calculate angles at a point, angles on a straight line,
vertically opposite angles and angles in a triangle.
Angle sums
I can recognise parallel, intersecting and perpendicular
lines
Angles in
parallel lines
I can describe and use the properties of different
triangles.
I can calculate angles in parallel lines.
I can describe and use the properties of different
quadrilaterals.
Lines and
quadrilaterals
2D and 3D
shapes
Revision questions
1
Look at this bank statement.
Statement 123
Account number 1329874
Date
Details
Debit (£)
31-01-2014
Opening balance
03-02-2014
Wages
09-02-2014
Shoe shop
Credit (£)
479.34
135.16
36.00
Work out the final balance on the statement.
2
Work out 5.6 + – 3.8
3
Work out – 11.4 – 2.9
4
Work out the missing number in this subtraction.
1.5 + … = – 4.9
5
Work out (–13)²
6
Which of these have an answer of 3.6? Put a tick by each one.
a
– 3 × – 1.2
____
b
– 3.0 – – 0.6
____
c
– 2 + – 1.6
____
d
– 0.5 × 7.2
____
Balance (£)
7
Work out the missing number in this multiplication.
– 4 × … = 24
8
This shape is a parallelogram.
Work out the area.
9
The fifth term of a linear sequence is 34.
The tenth term of the same sequence is 59.
Work out the first term.
10 A square and a right-angled shape are joined together to make this quadrilateral.
Work out the area of the shape.
11 One of these numbers cannot be written as the sum of two triangular numbers.
Circle it.
7
26
18
9
24
12 The nth term of a sequence is 90 – 6n.
Work out the ninth term of the sequence.
13 The nth term of a sequence is 6n - 5.
The nth term of a different sequence is 4n + 9.
Work out the smallest number that appears in both sequences.
14 Here is the start of a sequence of numbers.
48
43
38
33
28
What is a formula for the nth term?
15 Here is the start of a Fibonacci sequence
1
1
2
3
5
8
13
The sequence continues in the same way.
How many numbers in the sequence are between 50 and 100?
16 Andrew has four rectangular pieces of plastic measuring 8 cm by 7 cm.
He has two square pieces of plastic measuring 7 cm by 7 cm.
He sticks the pieces together to make a cuboid.
Work out the volume of the cuboid.
18 The volume of a cube is 64 cm³.
Work out the surface area of the cube.
19 Decide which of these statements are true or false.
a
0.06 × 100 = 0.0600
____
b
0.8 ÷ 10 = 0.08
____
c
0.13 × 1000 = 130
____
d
4.5 ÷ 100 = 0.0045
____
20 Put the following capacities in order of size, from smallest to largest?
8 litres, 990 ml, 7.059 litres, 7902 ml, 7.12 litres
21 Estimate the following calculations:
a
67 ÷ 0.09
b
153 ÷ 29
c
81 ÷ 0.56
d
927 × 0.052
22 Work out 30.4 – 17.9.
23 You buy goods costing £15.04, £2.76, £8.43 and 36p.
Work out the change from a £50 note.
24 Work out the value of the following:
a
3.5 × 12
b
96 × 0.6
c
13.7 × 9
d
104 × 0.3
25 Nine packets of biscuits cost £12.33 altogether.
What is the maximum number of packets of these biscuits
that I can buy with £10?
26 Round each of the following to the given accuracy:
a
97.045 to 1 dp
b
0.857 to 1 sf
c
409 to 2 sf
d
9.998 to 2 dp
27 Work out the value of the following:
a
40 – 3 × 8
b
56 ÷ 7 + 4
c
6 × 42
d
(11 - 3)2
28 Imelda wants a carpet for her shoe store-room.
The cost of the carpet is £9.95 for a square meter.
Her room is 4.7 m by 3.0 m.
How much will the carpet cost?
29 This tank travelled 77.4 miles on 9 litres of fuel.
How many miles could it travel on 4 litres of fuel?
30 Jo is a diabetic who uses three doses of insulin each day.
Each dose is 0.04 ml.
A bottle contains 1 cl of insulin.
How many complete days will a bottle last her?
31 A group of eight Year 7 pupils were comparing their weekly pocket money.
The amounts they received were £10, £12.50, £7.40, £15, £18.30, £ 13.00, £15 and £12.70.
Work out the range and the median value.
32 Alex finds that after five tests her mean score is the same as the range.
Four of her marks are 24, 8, 30 and 10 and the median score is missing.
What is her median score?
33 Simon makes a meat and potato pie.
Its mass is 900 grams.
The pie chart displays the ingredients.
How many grams of potato did Simon use?
34 Simon makes a meat and potato pie.
Its mass is 900 grams.
The pie chart displays the ingredients.
How many grams of meat did Simon use?
35 Ray is doing a class survey. He asks these questions.
Tick all those questions to which Ray will get discrete data.
a
How many siblings do you have?
____
b
How large is your arm span?
____
c
What house are you in?
____
d
What time do you arrive at school?
____
36 A teacher asked her class: ‘To the nearest tenth of a minute, how many minutes did you spend texting
last night?’
These were their responses.
2.6
17.9
16.1
3.4
10.6
3.5
16.0
9.6
15.5
10.2
6.3
2.6
8.0
8.6
17.1
12.6
18.5
9.9
7.7
6.9
5.3
9.2
5.6
2.6
12.9
10.3
3.8
8.2
6.9
3.0
Complete the grouped frequency table:
Texting minutes
Number of minutes Frequency
0 – 4.9
5.0 – 9.9
10.0 – 14.9
15.0 – 19.9
What is the modal class?
37 The mean of the lengths of all the sides of an isosceles triangle is 12 cm.
At least one side is 15 cm.
Work out the possible values of the range.
38 Amazon sells basic calculators for £3.80 each and scientific calculators for £7.50 each.
The week before the exam school orders three times as many scientific calculators as basic calculators
for £315.60.
How many of each type did he sell?
39 These times are in seconds.
10 minutes 12 seconds
5.5 minutes,
7 minutes 18 seconds
9 minutes 6 seconds
12.6 minutes
………
The range is 7.8 minutes and the median is 8.2 minutes
What time is missing from the list?
40 Work out the value of 2(t – 5) when t = -3.
41 Work out the value of r2 – 2s when r = 3 and s = -7.
42 Write two expressions for the perimeter of this rectangle.
43 Simplify this expression.
8 - 3x – 5 + 7x
44 Write an expression for the area of the shaded shape.
45 A quizmaster uses the formula:
C = 10 + 2.5q
where C is the cost (in £) and q is the number of questions he writes.
What does he charge for writing a quiz with 30 questions?
46 Doctor Y uses this formula to convert temperatures from Fahrenheit degrees (F) to Celsius degrees (C)
F
9C
 32
5
What answer will she get if she converts 50° Celsius to degrees Fahrenheit?
47 Octopuses have 8 tentacles and squids have 10 tentacles.
There are s octopuses and d squids under the sea.
The octopuses and squids have a total of t tentacles.
Write a formula for t in terms of s and d?
48 Which of these fractions are equivalent to
3
?
8
Tick all those that are correct.
a
9
14
_____
b
30
80
_____
c
37
87
_____
d
21
56
_____
49 Complete the following statements with the correct inequality symbol.
a
2
5
___
5
8
b
5
3
___
16
8
c
16
1
___
64
4
d
1
5
___
2
8
50 Work out the following.
a
9
3


10 10
b
3 1
 
7 8
c
5 2
 
6 9
d
5 3
 
6 8
51 What is the value of
7 11
?

9 15
52 Put these fractions in order of size, from smallest to largest.
Fraction
Order (1 to 4)
25
11
33
7
32
9
4
1
4
53 Work out the value of:
4
7
13
+2
9
18
as a mixed number in its simplest form.
54 Work out the value of:
6
1
11
–1
4
12
as a mixed number in its simplest form.
55 Work out the value of :
a
4
4
5
–3
5
6
b
3
3
4
–2
4
5
c
2
1
3
–1
3
4
56 Put these angles in order of size, from largest to smallest.
Angle
Order (1 to 4)
right
reflex
acute
obtuse
57 Calculate the size of each unknown angle. Give reasons for your answers.
58 Calculate the size of each unknown angle. Give reasons for your answers.
59 Calculate the value of x.
60 What type of angles are shown here? What is their relationship?
61 Which of these quadrilaterals always have diagonals that bisect each other?
Tick all those that are correct.
a
rectangle
_____
b
kite
_____
c
parallelogram
_____
d
square
_____
e
rhombus
_____
f
trapezium
_____
62 Calculate the sizes of the angles marked p, q, r and s in this right-angled triangle. Give reasons for your
answers.
63 Simplify this expression.
1
1
1
3
7
3 x  2 y  1 x 1 y  x
2
4
4
4
8