Maths
Notes
NC
C
NC & C
No calculator allowed and FULL
WORKINGS MUST BE SHOWN.
 Calculator to be used –
calculations that are done must be
shown.
 Must be shown using a noncalculator AND calculator method.
Example: 20% of 80
NC
10% = 8
20% = 16✓
C
0.20 x 80 = 16✓
Unit 1 – Decimals, Percentages and Fractions
Level 3-4
Grade G
I can say what fraction of a shape is shaded and shade fractions.
Q1
NC
a) Write down the fraction of each shape that is shaded:
(i)
(ii)
b) Copy into your homework book and shade in the fraction given next to each diagram:
(i)
(ii)
Level 4
Grade F
I can recall the fraction/decimal/percentage conversions of familiar fractions like
etc.
Q1.
NC
1 3 1 1 1
Write down each of the following fractions , , , ,
2 4 3 10 4
a) As a percentage
b) As a decimal
1 3 1 1
, , ,
2 4 3 10
Level 5
Grade E
I can write a percentage as a decimal and vice versa.
Q1. NC
a) Write the following decimals as percentages:
(i) 0.75
(ii) 0.05
(iii) 0.175
b) Write the following percentages as decimals:
(i) 92%
(ii) 3%
(iii) 5.3%
I can find a fraction of a quantity.
Q2. NC & C
1
2
5
a) What is
of 80? b) What is
of 90? c) What is
of 354?
4
5
6
I can express a number as a fraction of another.
Q3.
NC
In each of these questions, express the first number as a fraction of the second number.
Give your answer in its simplest form where possible:
a) 5 and 20
b) 10 and 15
c) 60 pence and £2
I can find equivalent fractions and write fractions in their simplest form.
Q4.
NC
65
27
12
a) Simplify: (i)
(ii)
(iii)
100
81
360
2
1
5
b) Write down three fractions for each that are equivalent to: (i)
(ii) (iii)
5
3
6
Level 6
Grade D
I can change between fractions and decimals and vice versa.
Q1. NC & C
a) Write the following fractions as decimals:
1
1
2
(i) (ii)
(iii)
2
8
5
b) Write the following decimals as fractions:
(i) 0.25
(ii) 0.625
(iii) 0.8
I can order fractions, decimals and percentages.
Q2. NC & C
a) Put these fractions decimals and percentages in order from smallest to largest:
1
2
25%, 0.30, , 0.26,
5
7
b) Put these fractions decimals and percentages in order in descending order:
4
3
0.85, 92%, , 0.91,
5
4
I can change between improper and mixed number fractions.
Q3.
NC
7
15
22
a) Convert to a mixed number fraction: (i)
(ii)
(iii)
5
7
5
1
5
4
b) Convert to an improper fraction (i) 2 (ii) 3 (iii) 7
2
6
7
Level 7
Grade C
I can add and subtract fractions.
Q1.
NC & C
1 1
5 1
1
3
Work out (a)  (b)  (c) 3  4
2 3
6 4
3
4
I can compare the sizes of fractions using a common denominator.
Q2.
NC
Put these fractions in order from smallest to biggest. You must show workings:
1 2 1 3 5
, , , ,
2 5 3 4 6
I can multiply and divide fractions.
Q3.
NC & C
Work out each of these leaving your answer in its simplest form:
2 3
1
1
1 1
1
5
(a)  (b) 2  3 (c)  (d) 4  3
5 4
2
4
3 6
2
6
I can find reciprocals.
Q4.
C
Work out the reciprocal of the following numbers:
a) 7
2
b)
9
c) 0.3
d) 0.05
Applied Exam Questions
Grade E
Q1.
NC & C
In a school there are 220 pupils in Year 9.
120 of these pupils are girls.
What fraction of the 220 pupils are boys?
Give your fraction in its simplest form.
(Total 2 marks)
Grade D
Q2.
NC & C
Here are some fractions.
Which one of these fractions is not equal to
?
Give a reason for your answer.
(Total 2 marks)
Grade C
Q3.
NC & C
36 students each went to one revision class.
of the students went to the physics revision class.
of the students went to the biology revision class.
All of the other students went to the chemistry revision class.
How many students went to the chemistry revision class?
(Total 3 marks)