EVERYTHING YOU NEED TO KNOW
TO GET A GRADE C
NUMBER
(FOUNDATION)
AUTHOR
www.mistrymaths.co.uk
10% means ÷10
70% of 20 questions
x7
10% = 2 questions
70% = 14 questions
14
=
= 50%
No, Elena failed
=
= 75%
Yes, Clyde passed
x7
10% means ÷10
16.50
+ 1 81. 5 0
2 5.0 0
10% of £25
10% = £2.50
22.50
4
2 5 .10 0
- 2.50
22 . 5 0
Martha Cost = £400
Husband Cost = £400
x
Mary (Daughter) Cost = 75% of £400
÷
Total Cost = 400 + 400 + 300 = £1100
10% online discount= 10% of £1100 = £110
Final Total Cost = 1100 – 110 = £990
= £300
10% means ÷10
10% means ÷10
10% of 800 students
10% = 80 students
x2
20% of 70 teachers
10% = 7 teachers
20% = 14 teachers
Left-handed teacher and students = 80 + 14
94
x2
10% means ÷10
÷2
x4
10% = 33
x4
÷2
40% =132
5% =16.5
45% = 132 + 16.5
148.5
=
25
=
LEARN
12.5
U T ths
8 is in the tenths column
x
÷
27 x 3
81
10% means ÷10
x3
10% = 27
30% = 81
270
81
189
1 16 1
x3
189
When adding or subtracting
fractions you need to find a
common denominator
=
=
1
X3
2
X4
4
X3
3
X4
3
12
11
12
+
+
8
12
Denominator never changes
Test 1 =
Test 2 =
Test 1
7 is in the
tenths column
=
2nd
% means ‘out of 100’
=
3rd
1st
Weekly income = 12 x £4 = £48
x
= £16
Savings per week =
÷
Weeks to save £80 =
=5
5
25
10% means ÷10
3 litres
2.5 litres
3000ml
2500ml
x Bottle B
Bottle A
55% of 3000ml
10% = 300ml
x5
x5 ÷2
÷2
50% =1500ml
5% = 150ml
55% = 1500 + 150 = 1650ml
÷
Bottle B
0625
4 225 1020
625 x 3 = 1875ml
x
÷
Son
055 0
4 22220 0
x
÷
Tom
Daughter
2200 – 880 - 550
2200 – 1430
044 0
5 22220 0
440 x 2 = 880
770
5x4
20
9x9
81
=9x9+3x3
= 81 + 9
= 90
Square numbers
1 , 4, 9, 16, 25, 36, 49, 64, 81 etc
64 - 36
28
11 x 11
121
12 x 12
144
means what multiplies by itself
three times to make 125
5
When you multiply powers
with the same base you can
just add the powers
6x6x6x6
=1
6x6x6x6
When you divide powers
with the same base you can
just subtract the powers
= 95.4
952= 9025
= 95.9
962 = 9216
There are no whole numbers between 95.4 and 95.9
=4+3
=5
=7
Square numbers
1 , 4, 9, 16, 25, 36, 49, 64, 81 etc
25
25
36
16
9
25
16
x
2
12 of £7200= £1200
÷
x
÷
x
3
12 of £7200= £1800
7
12 of £7200 = £4200
÷
1200
1800
4200
Add parts
2 + 3 + 7 = 12
÷30
x25
30 pupils = £90
1 pupil = £3
25 pupils = £75
÷30
x25
75
x3
Standard Packet
12 biscuits = £1.09
36 biscuits = £3.27
x3
Large Packet
36 biscuits = £3.17
Large is better
x1200
C : S
3 : 7
£3600 : £8400
x1200
Money invested = £3600 + £8400
12000
2.36
2.5
Five thousand one hundred and sixty seven
7400
17000
-
16684
1184
15 5 00
15500
10
10
£4.99 x 2 x 10
= £9.98 x 10
= £99.80
Jill is incorrect
All the sides are
equal in a square
19.68501969
19.7
In the 10 times table
70
Whole number that go into 35 exactly
5
5x5
25
75
BODMAS
70 ÷ 35 x 75
2 x 75
150
6
6
4
3
8
9
12
12
6, 12 or 18
3, 6, 9 and 18
Square numbers
1 , 4, 9, 16, 25, 36, 49, 64, 81 etc
9-4
5
In the 6
times table
Whole
numbers
that go
into 18
exactly
In the 7 times table
28
Whole numbers that go into 24 exactly
6 and 8
1 , 4, 9, 16, 25, 36, 49, 64, 81 etc
25
2, 3, 5, 7, 11, 13, 17, 19, 23, 29 etc
11
In the 4 times table
8
10
In the 5 times table
18
In the 6 times table
Whole number that
goes into 36 exactly
18
12
Square numbers
Cube numbers
1 , 4, 9, 16, 25, 36, 49, 64, 81 etc
1 , 8, 27, 64, 125 etc
18
1 million = 1000000
10 x 5
50
7x5–3x2
35 – 6
29
9x5–1x2
45 – 2
9 questions correct and 1 question incorrect
2+-3
2-1
-3
10 + - 8
102- 8
-8
-3+ 5
Adults = 2 x £5.25 = £10.50
Children = 4 x £3.40 = £13.60
24.10
Saturday
Thursday
4 Adults = 4 x £5 = £20
LEARN
Cost of children = £44 - £20 = £24
8
7x5+3x3
35 + 9
7
22
3
£50 + £10 + £1 = £61
120
£58.75 + £11.75 + £1.18 = £71.68
120 ÷ 10 = 12
12 ÷ 4 = 3
3 x 7 = 21
71.68
58.75
1 1 . 71 5
+ 1 11. 1 8
71 .68
Could have also done £20 + £20 +
£20 + £1 and got £71.98
21
3 5 2
+ 31 5 2
7 0 4
704
1
2
3
4
4
74.8 x 4 = 299.2
400
299.2 x 100 = 29920
4 x 100
LEARN
Any three numbers that sum to ninety
40
30
20
40
40
10
36
36
18
3
2
6
1
4
7
3
5
2
6
8
1
9
8
6
7