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Worksheets

Year 10

Total questions: 68

Worksheet time: 6hrs 40mins

Name
Class
Date
1.
Which is the best buy?
7 pencils for $1.40
6 pencils for $1.26
a)
7 pencils for $1.40
b)
6 pencils for $1.26
2.
Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72
a)
15 kg for $32.25
b)
4 kg for $8.72
3.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
4.
What is the best deal?
0.5 kg of rice at $1.80
5 kg of rice at $16.95
a)
0.5 kg of rice at $1.80
b)
5 kg of rice at $16.95
5.
What is the best price?
2 liters of milk at $3.80
1.5 liters of milk at $2.70
a)
2 liters of milk for $3.80
b)
1.5 liters of milk at $2.70
6.
Choose the best deal for buying oranges
$52.16 for 8 dozen
$33.77 for 5 dozen
a)
$52.16 for 8 dozen
b)
$33.77 for 5 dozen
7.

Which is a better buy?

24 grams of turkey for $10.08 or 9 grams of turkey for $4.77

a)

24 grams of turkey

b)

9 grams of turkey

8.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
9.
Coca-Cola $1.29 for 1.25 L 
or
Pepsi $2.49 for 2L
Find the unit price of each and choose the better deal.
a)
Pepsi
b)
Coca-Cola
10.

Five ice cream cones for $25.75. How much does it cost per cone?

a)

$10.00

b)

$5.25

c)

$5.15

d)

$6.00

11.

Which is the better buy?

3 batteries for $4.80 or 12 batteries $14.76

a)

3 batteries

b)

12 batteries

12.

Which is the better buy?

22 Staplers for $330 or 4 Staplers for $80

a)

22 Staplers

b)

4 Staplers

13.

Which is the better buy?

5 Calculators for $105 or 24 Calculators for $552

a)

5 calculators

b)

24 calculators

14.

Which is a better buy?

18 pens for $6.84 or 30 pens for $8.40

a)

18 pens

b)

30 pens

15.

Which is a better buy?

11 Books for $99 or 29 books for $203

a)

11 books

b)

29 books

16.

Which is a better buy?

34 liters of gas for $15.98 or 12 liters of gas for $4.68

a)

34 liters

b)

12 liters

17.

Which is a better buy?

10 Calendars for $160 or 6 Calendars for $114

a)

10 calendars

b)

6 calendars

18.

Which is a better buy?

25 pairs of shoes for $625 or 33 pairs of shoes for $800

a)

25 pairs of shoes

b)

33 pairs of shoes

19.

Which is a better buy?

37 pairs of jeans for $407 or 48 pairs of jeans for $570

a)

37 pairs

b)

48 pairs

20.

Which is a better buy?

24 grams of turkey for $10.08 or 9 grams of turkey for $4.77

a)

24 grams of turkey

b)

9 grams of turkey

21.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

22.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are red?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

23.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are blue?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

24.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are green?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

25.

The ratio of purple sweets to red sweets is 2 : 5


What fraction of the sweets are purple?

a)

5/2

b)

2/5

c)

2/7

d)

5/7

26.

The ratio of purple sweets to red sweets is 2 : 5


What fraction of the sweets are red?

a)

5/2

b)

2/5

c)

2/7

d)

5/7

27.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are clubs?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

28.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1


What fraction of the cards are hearts?

a)

1/6

b)

6/1

c)

1/7

d)

6/7

29.

In a fruit bowl 3/5 of the fruit are apples. The rest are oranges.


What is the ratio of apples to oranges?

a)

3 : 5

b)

5 : 3

c)

3 : 2

d)

3 : 8

30.

In a box of sweets 7/10 of the sweets are red. The rest are purple.


What is the ratio of red sweets to purple sweets?

a)

3 : 7

b)

7 : 3

c)

3 : 10

d)

7 : 10

31.

In a box of sweets 1/4 of the sweets are green. The rest are orange.


What is the ratio of orange sweets to green sweets?

a)

3 : 1

b)

1 : 3

c)

1 : 4

d)

4 : 1

32.

In a bunch of flowers 1/3 of the flowers are tulips. The rest are roses.


What is the ratio of roses to tulips?

a)

3 : 1

b)

1 : 3

c)

1 : 2

d)

2 : 1

33.

In a bunch of flowers 3/8 of the flowers are daffodils. The rest are carnations.


What is the ratio of daffodils to carnations?

a)

3 : 8

b)

5 : 3

c)

3 : 5

d)

5 : 8

34.

In a box of sweets 1/2 of the sweets are gold. The rest are purple.


What is the ratio of gold sweets to purple sweets?

a)

1 : 1

b)

1 : 2

c)

2 : 1

d)

1 : 3

35.

Given that a:b = 1:5 and b:c = 3:2. Find the ratio a:b:c in the simplest form

a)

1:3:9

b)

3:15:10

c)

15:10:1

36.

A:B is in the ratio 2:5 C:B is in the ratio 7:3 Write the ratio A:B:C

a)

6:15:35

b)

6:35:15

c)

2:5:7

37.

A:B is in the ratio 5:3 B:C is in the ratio 9:2 Write the ratio A:B:C

a)

2:9:11

b)

3:9:2

c)

15:9:2

38.

Given that a:b = 3:2 and b:c = 3:1. Find the ratio a:b:c in the simplest form

a)

6:3:1

b)

9:6:2

c)

6:3:2

39.

Choose the correct option

a)

A=i, B=ii, C=iii, D=iv

b)

A=ii, B=i, C=iv, D=iii

c)

A=iv, B=i, C=ii, D=iii

d)

A=iv, B=i, C=iii, D=ii

40.

Write the scale as a map ratio:

1cm:1m

a)

1:10

b)

1:100

c)

1:1000

d)

1:0.1

41.

Write the scale as a map ratio:

1cm:5km

a)

1:500,000

b)

1:5,000

c)

1:50,000

d)

1:500

42.

Write the scale as a map ratio:

5cm:1km

a)

1:2,000

b)

1:20,000

c)

1:200,000

d)

1:200

43.

Write the scale as a map ratio:

2cm:1.5km

a)

1:750

b)

1:7,500

c)

1:75,000

d)

1:750,000

44.

What real life distance does 4cm represent on maps with this scale?

1:10,000

a)

40m

b)

400m

c)

4m

d)

4000m

45.

What real life distance does 4cm represent on maps with this scale?

1:50,000

a)

2km

b)

200m

c)

20km

d)

20m

46.

What real life distance does 4cm represent on maps with this scale?

1:250,000

a)

100km

b)

1km

c)

10km

d)

100m

47.

Work out the length on the map that represents the real life distance of 10km, for the scale 1:10,000

a)

100cm

b)

10cm

c)

1000cm

d)

1cm

48.

Work out the length on the map that represents the real life distance of 10km, for the scale 1:50,000

a)

2cm

b)

200cm

c)

2000cm

d)

20cm

49.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
50.
In a theme park for 6 people the ticket cost £39. How much does it cost for 9 people?
                             
a)
£45.8
b)
£48
c)
£58.50
d)
£52.60
51.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
c)
dont know
d)
none of these
52.
A shop had 4 blue chairs for £73.48 and 5 red chairs for £91.40. Write the cost of one chair of each colour ?
a)
blue = £18.37 , red = £18.28
b)
blue = £18.37, red = £18.46
c)
blue = £18.58, red = £18.28
d)
blue = £18.58, red = £18.63
53.
Which is the better deal?
Doritos
£4.20 for 10kg
OR
Cheetos
£4.80 for 12kg
a)
Doritos
b)
Cheetos
54.
An eight pack of juice boxes cost £4.81, and a twelve pack of juice boxes cost £6.48. Which is a better buy?
a)
8 pack
b)
12 pack
c)
They have the same unit price
55.
Which of these ratios is equivalent to 3:4?
a)
12:9
b)
9:20
c)
9:12
d)
803:804
56.
Josh bought a pizza with eight slices of pizza for £12. What is the cost of a slice of pizza?
a)
£12
b)
£1.50
c)
£3
d)
£1
57.
a)
1
b)
3
c)
12
d)
2
58.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
59.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
60.
75 is 15% of what number?
a)
500
b)
20
c)
350
d)
425
61.
Tickets to Disney World are £100.The price is going to increase on January 1st. What is the percent of change if the cost increases to a £120?
a)
25%
b)
18%
c)
20%
d)
50%
62.
Find the unit rate of the ratio below:
30 cm of snow in 6 hours
a)
6 cm of snow per hour
b)
30 cm of snow per hour
c)
5 cm of snow per hour
d)
3 cm of snow per hour
63.
Paige rode her bike 4/5 mile. Megan rode her bike 3/4 mile.   Which statement is true?
a)
4/5 = 3/4
b)
4/5 > 3/4 
c)
3/4 > 4/5
d)
4/5 < 3/4 
64.
A recipe for a pizza that serves 5 people is as follows:
500g pizza dough
36g tomato puree
225g cheese
106g salami
What is the recipe for 2 people?
a)
200g pizza dough
7.2g tomato puree
90g cheese
21.2g salami
b)
150g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
c)
200g pizza dough
14.4g tomato puree
80g cheese
42.4g salami
d)
200g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
65.
The scales have 3 pink cubes on one side and 5 purple cubes on the other.
If 2 pink cubes = 1.84kg, how much do 3 purple cubes weigh?
a)
1.651
b)
1.656
c)
0.546
d)
2.73
66.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
67.
Bonus question!
If my bus departs from Liverpool at 12:49 and arrives in Leeds at 14:03, how long was my journey?
a)
2 hours 14 minutes
b)
1 hour 14 minutes
c)
1 hour 34 minutes
d)
1.3 hours
68.
Bonus question!
What is 3.85 hours in minutes?
a)
252
b)
218
c)
221
d)
231

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