This document contains a series of math lessons and practice problems related to fractions, percentages, ratios, and proportions. Some key topics covered include finding fractions of numbers, calculating percentages, relating fractions to decimals, solving problems involving ratios and proportions, and recognizing equivalent fractions. Students are asked to work through examples such as calculating percentages of amounts, comparing ratios, and solving word problems that require setting up and solving ratios.

1. LO: To Find fractions of
numbers and quantities.
4.5.05

2. What is half of……….
?

3. What is a quarter of……….
?

4. What is a half of……….
?

5. What is a quarter of……….
?

6. What is a half of……….
?

7. What is a quarter of……….
?

8. What strategies did
you use to answer
these questions?

9. A roll of ribbon is 2m. If I use
58cm of ribbon, what fraction
have I used?

10. Shade more rectangles so that
exactly half of the shape is
shaded please

11. A cup holds 250ml of liquid. A
bottle holds 500ml. What fraction
of the bottle does the cup hold?

12. A cup holds 250ml of liquid. A
bottle holds 500ml. What fraction
of the bottle does the cup hold?
What fraction of the cup does
the bottle hold?

13. LO: to relate fractions to division
and use division to find fractions
of numbers and quantities.
4.5.05

15. Question: Would you rather
have ½ a bag of sweets or 6/10?

16. Question: Would you rather
have 3/6 a bag of sweets or 1/2?

17. ½ of 50
1/3 of 120
3/10 of 100
20
25
30
35
40
45
50
55

18. LO: To use vocabulary to express
simple ratios.
21.06.05

21. What is the length of each part of the ribbon?

22. What is the length of each part of the ribbon?
If we compare these lengths they are 50cm
for every 50cm.

23. Could this ratio be simplified?
If we compare these lengths they are 50cm
for every 50cm.

24. Could this ratio be simplified?
1cm for every 1cm
5cm for every 5cm, etc.

25. 25cm to 75cm

26. 10cm to 90cm

27. LO: to find simple percentages of
whole number quantities.
Develop calculator skills and use
a calculator effectively.
21.06.05

28. 50%
£360 1%
25%
240g
10%
4400km480ml

29. 69% of £360
Can you work out the answer in your
head?

30. 69% of £360
Can you work out the answer in your
head?
What makes this calculation
more difficult?

31. 87%
£360 29%
36%
240g
58%
4400km480ml

32. 87%
£360
29%
36%
240g
58%
4400km480ml
Record these as number sentences in your book..i.e.
17.5% of £360 is £63
17.5%
LO: to find simple percentages of whole
number quantities.

33. I need a new pair of trainers……
Can you help me, I need the best
value!
Shop A Cost £30 with a 30% discount
Shop B Cost £21 with a 12% discount
Shop C Cost £24 with a 35% discount

34. I need a new pair of trainers……
Can you help me, I need the best
value!
Shop A Cost £30 with a 30% discount
Shop B Cost £21 with a 12% discount
Shop C Cost £24 with a 35% discount
Which shop has the cheapest trainers?

35. What have we learned?
•To calculate key percentages mentally
•To use a calculator to find percentages.

36. LO: to Find simple percentages
of small whole number quantities.
6/5/05

37. 40

38. 40
10%=

39. 40
10%=
20%

40. 40
10%=
20%
30%

41. 40
10%=
20%
30%
15%

42. 40
10%=
20%
30%
15%
5%

43. 40
10%=
25%
20%
30%
15%
5%

44. 40
10%=
25%
20%
30%
15%
5%
5%

45. 40
10%=
25%
20%
30%
15%
5%
1%
5%

46. 120
10%=

47. 120
10%=
20%

48. 120
10%=
20%
30%

49. 120
10%=
20%
30%
15%

50. 120
10%=
20%
30%
15%
5%

51. 120
10%=
25%
20%
30%
15%
5%

52. 120
10%=
25%
20%
30%
15%
5%
5%

53. 120
10%=
25%
20%
30%
15%
5%
1%
5%

54. Relate fractions to division and
their decimal representations.
6/5/05

56. In pairs: 1st
person say a fraction of 100 2nd
person
work out and write decimal equivalent.
35/100 0.35i.e

57. Haseem has £13.50 to share between 15
people for drinks in a café. What fraction
of the money would each person receive?

58. Haseem has £13.50 to share between 15
people for drinks in a café. What fraction
of the money would each person receive?
How much would each
person receive?

59. Give me two fractions that are
the same as 0.2

60. Are there any other decimals that
have fractions that are both fifths
and tenths?

61. You have been using your
calculator to find an answer. The
answer on the display reads 3.6.
What might this mean?

62. What would you prefer, three
pizzas shared between four people
or six pizzas shared between ten
people?

63. LO: Count on and back in
equal steps, e.g. 25, 100, 0.1,
including beyond 0.
23.06.05

65. LO:Solve simple problems
involving ratio and proportion.
23.06.05

67. What is the ratio of red to green counters?

68. What is the ratio of red to green counters?
3:1 (for every 3 reds counters there is 1 green)

69. What is the proportion of green counters?

70. What is the proportion of green counters?
A Quarter (1 portion of 4 is green)

71. What is the proportion of red counters?
Three Quarters (1 portion of 4 is green)

72. LO:Recognise when two simple
fractions are equivalent.
24.06.05

74. In pairs, the complete the spider using
fractions, decimals and percentages.

75. LO:Solve simple problems
involving ratio and proportion.
24.06.05

76. At the gym club there are two boys for
every three girls. There are 15 girls at
the club. How many boys are there at
the club?

77. At the gym club there are two boys for
every three girls. There are 12 boys at
the club, how many girls are there?

78. Chicken must be cooked for 50 minutes for
every kg.
How long does it take to cook a 3 kg chicken?

79. A mother seal is fed five fish for every two fish
for its baby. Alice fed the mother seal 15 fish.
How many fish did the baby get? Alice fed the
baby seal eight fish. How many did its mother
get?

80. For every 50p coin Mum gives Dad, he
gives her five 10p coins. Dad gave Mum
25 10p coins. How many 50p coins did
Mum give him?

81. Kate wanted to make some lilac paint.
She used one tin of purple paint to every
three tins of white paint. If she used 16
tins altogether, how many purple tins did
she use?

82. Zara uses three tomatoes for every 1/2
litre of sauce. How much sauce can she
make from 15 tomatoes? How many
tomatoes does she need for 1 litre of
sauce?

83. How many cubes are in each box
and how many cubes of each colour
are there?
Here are some clues:

84. Box 1
There are between 10
and 20 cubes in the
box.
There is one yellow
cube for every four
green cubes.
There is an odd
number of cubes.
1

85. Box 2
There is an even
number of cubes.
There is one red cube
for every two blue
cubes.
There are between 20
and 30 cubes in the
box.
2

86. Box 3
There are two green
cubes for every three
pink cubes.
There is an odd
number of cubes.
There are between 16
and 34 cubes in the
box.
3

87. Box 4
There are between 15
and 40 cubes in the
box.
There is an even
number of cubes.
There are three
yellow cubes for every
four black cubes.
4

88. Box 1 contains 15 cubes
– 3 yellow, 12 green
1

89. Box 2 contains 24 cubes
– 8 red, 16 blue
2

90. Box 3 contains 25 cubes
– 10 green, 15 pink
3

91. Box 4 contains 28 cubes
– 12 yellow, 16 black
4

92. What have we learned?
•Use, read and write, spelling correctly,
vocabulary to express simple ratios and
proportions;
•Discuss statements such as: John has one
stamp for every two that Mark has;
•Solve simple problems involving ratio and
proportion.