EVERYTHING YOU NEED TO KNOW TO GET A GRADE C

NUMBER

(FOUNDATION)

= =50%No, Elena failed

= =75%Yes, Clyde passed

70% of 20 questions10% means ÷10

10% = 2 questions70% =

x7 x714 questions

14

1 6 . 5 0 8 . 5 0+

001

.51

2

10% of £25

10% means ÷10

10% = £2.50

2 5 . 0 0 2 . 5 0-

0

41

5.22

22.50

Martha Cost = £400Husband Cost = £400

Mary (Daughter) Cost = 75% of £400÷

x= £300

Total Cost = 400 + 400 + 300 = £110010% online discount= 10% of £1100 10% means ÷10= £110Final Total Cost = 1100 – 110 = £990

10% of 800 students

10% means ÷10

10% = 80 students20% of 70 teachers10% = 7 teachers20% =

x2 x214 teachers

Left-handed teacher and students = 80 + 14

94

10% means ÷10

10% = 3340% =

x4 x4132

5% = ÷2 ÷2

16.5 45% = 132 + 16.5

148.5

=

25

=

LEARN

12.5

U Tths

8 is in the tenths column

÷

x

27 x 3

81

10% means ÷10

10% = 2730% =

x3 x381

2 7 0 8 1

6 1

9

1 1

81189

When adding or subtracting fractions you need to find a

common denominator

1

4+

2

3X 3

X 3

X 4

X 4

12+

12

3 8=

Denominator never changes11

12=

Test 1 =

Test 2 =

Test 1

% means ‘out of 100’7 is in the tenths column

= =

1st2nd 3rd

Weekly income = 12 x £4 = £48

Savings per week = ÷

x= £16

Weeks to save £80 = = 5

5

25

3 litres 2.5 litres

3000ml 2500mlBottle A55% of 3000ml10% = 300ml

10% means ÷10

50% = x5 x51500ml

5% = ÷2 ÷2

150ml55% = 1500 + 150 = 1650ml

Bottle B

÷

x

2 5 0 040

26

12

25

625 x 3 = 1875ml

Bottle B

Son

÷

x

2 2 0 040

2

52

5 0

Daughter

÷

x

2 2 0 050

24

24 0

440 x 2 = 880

Tom

2200 – 880 - 5502200 – 1430

770

5 x 4

209 x 9

81

= 9 x 9 + 3 x 3= 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

6 x 6 x 6 x 66 x 6 x 6 x 6

= 1When you divide powers

with the same base you can just subtract the powers

= 95.4 = 95.9

952= 9025 962 = 9216

There are no whole numbers between 95.4 and 95.9

= 5= 4 + 3

= 7

Square numbers 1 , 4, 9, 16, 25, 36, 49, 64, 81 etc

25 1625 9

36 25 16

2 + 3 + 7 Add parts = 122

12 of £7200 =

÷

x

£1200

3 12 of £7200 =

÷

x

£1800

7 12 of £7200 =

÷

x

£4200

1200 1800 4200

30 pupils = £901 pupil =

÷30 ÷30£3

25 pupils = x25 x25

£75

75

Standard Packet12 biscuits = £1.0936 biscuits = £3.27x3 x3

Large Packet36 biscuits = £3.17

Large is better

C : S3 : 7

£3600 :x1200 x1200

£8400

Money invested =£3600 + £8400

12000

2.36

2.5

Five thousand one hundred and sixty seven

7400

17000

1 6 6 8 41 1 8 4-

0055115500

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

70Whole number that go into 35 exactly

5

5 x 525

75

BODMAS70 ÷ 35 x 75

2 x 75

150

4 6 8 123 6 9 12 In the 6

times table6, 12 or 18

Whole numbers that go into 18 exactly3, 6, 9 and 18

Square numbers 1 , 4, 9, 16, 25, 36, 49, 64, 81 etc9 - 45

In the 7 times table

28Whole numbers that go into 24 exactly

6 and 8

1 , 4, 9, 16, 25, 36, 49, 64, 81 etc25

2, 3, 5, 7, 11, 13, 17, 19, 23, 29 etc11

In the 4 times table In the 5 times table In the 6 times table

8 10 18

Whole number that goes into 36 exactly

12 18

Square numbers 1 , 4, 9, 16, 25, 36, 49, 64, 81 etcCube numbers 1 , 8, 27, 64, 125 etc

18

1 million = 1000000

10 x 5

50

7 x 5 – 3 x 2 35 – 6

29

9 x 5 – 1 x 2 45 – 2

9 questions correct and 1 question incorrect

10 + - 810 - 82 -8 + 5-3

2 + - 32 - 3-1

Adults = 2 x £5.25 = £10.50 Children = 4 x £3.40 = £13.60

24.10

4 Adults = 4 x £5 = £20

Cost of children = £44 - £20 = £24 8

7 x 5 + 3 x 3 35 + 9

7 3

Saturday

Thursday

LEARN

22

120

120 ÷ 10 = 12

12 ÷ 4 = 3

3 x 7 = 21

21

£50 + £10 + £1 = £61

£58.75 + £11.75 + £1.18 = £71.68

5 8 . 7 51 1 . 7 5 1 . 1 8+

8

1

61

.11

7

71.68

Could have also done £20 + £20 + £20 + £1 and got £71.98

3 5 23 5 2+

401

7

7041 2 3 4

4

74.8 x 4 = 299.2

299.2 x 100 = 29920

4 x 100400

LEARN

Any three numbers that sum to ninety

40 30 20

40 40 10

36 36 18

3 62 1

4 27 6

3 85 1

9 68 7