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Activities 1

1.1)

a)
25 100
b)
15 100
c)
10 100
d)
1 100
e)
100 100
f)
50 100
g)
60 100
h)
70 100
i)
75 100

a)
25 100
b)
15 100
c)
10 100
d)
1 100
e)
100 100
f)
50 100
g)
60 100
h)
70 100
i)
75 100

1.2)

a)
1 4
b)
3 20
c)
1 10
d)
1 100
e)
1 = 1 1
f)
1 2
g)
3 5
h)
7 10
i)
3 4

a)
1 4
b)
3 20
c)
1 10
d)
1 100
e)
1 = 1 1
f)
1 2
g)
3 5
h)
7 10
i)
3 4

1.3)

a)
25 100 = 0.25
b)
75 100 = 0.75
c)
10 100 = 0.1
d)
90 100 = 0.9
e)
100 100 = 1
f)
0 100 = 0
g)
35 100 = 0.35
h)
65 100 = 0.65

a)
25 100 = 0.25
b)
75 100 = 0.75
c)
10 100 = 0.1
d)
90 100 = 0.9
e)
100 100 = 1
f)
0 100 = 0
g)
35 100 = 0.35
h)
65 100 = 0.65

1.4)

a)
250 1000
b)
150 1000
c)
10 1000
d)
1 1000
e)
1000 1000
f)
100 1000
g)
600 1000
h)
70 1000
i)
700 1000

a)
250 1000
b)
150 1000
c)
10 1000
d)
1 1000
e)
1000 1000
f)
100 1000
g)
600 1000
h)
70 1000
i)
700 1000

1.5)

a)
$5
b)
$15
c)
45 girls
d)
405 girls
e)
$60
f)
$40
g)
22 boys
h)
2178 boys
i)
$17.50
j)
$7.50
k)
225 students
l)
75 students
m)
2 footballs
n)
6 footballs
o)
8 footballs
p)
0 footballs

a)
$5
b)
$15
c)
45 girls
d)
405 girls
e)
$60
f)
$40
g)
22 boys
h)
2178 boys
i)
$17.50
j)
$7.50
k)
225 students
l)
75 students
m)
2 footballs
n)
6 footballs
o)
8 footballs
p)
0 footballs

1.6)

In all these activities, the sum is the whole amount (100 %).

Activities 2

2.1)

a)
50 %
b)
75 %
c)
65 %
d)
99 %
e)
2 %
f)
100 %
g)
250 %
h)
600 %

a)
50 %
b)
75 %
c)
65 %
d)
99 %
e)
2 %
f)
100 %
g)
250 %
h)
600 %

2.2)

a)
0.25 = 25%
b)
0.2 = 20%
c)
0.75 = 75%
d)
0.6 = 60%
e)
0.4 = 40%
f)
0.8 = 8%
g)
0.33 = 33.3%
h)
0.67 = 66.7%
i)
0.67 = 66.7%
j)
0.025 = 2.5%
k)
0.33 = 33%
l)
4.5 = 450%

a)
0.25 = 25%
b)
0.2 = 20%
c)
0.75 = 75%
d)
0.6 = 60%
e)
0.4 = 40%
f)
0.8 = 8%
g)
0.33 = 33.3%
h)
0.67 = 66.7%
i)
0.67 = 66.7%
j)
0.025 = 2.5%
k)
0.33 = 33%
l)
4.5 = 450%

2.3)

33.3 % (rounded)

2.4)

a)
Just over half, just over 50 %
b)
52.9 % (rounded)

2.5)

a)
Just over half and less than 3 4, approximately 60 %. Alternatively, split the cake into 14 equal pieces that each weigh 100 g, so Eric buys 8 pieces 8 14 = 4 7.
b)
57.1 % (rounded)

2.6)

a)
About 3 4, which is 75 %
b)
80 %

Activities 3

3.1)

Discount: $4

New price: $36

3.2)

Increase: $4

New price: $44

3.3)

Discount: $120

New price: $280. $400 × 70% = $280

3.4)

Change in percent: $5 $40 = 1 8 = 12.5%

3.5)

a)
New price: $240
b)
Discount in percent: $160 $400 = 0.4 = 40%
c)
60 % of the old price
d)
60% + 40% = 100% = 1

3.6)

Approximately $560

3.7)

Approximately $240

3.8)

a)
Approximately $180
b)
Exactly $186

3.9)

a)
Approximately $200
b)
Exactly $216

3.10)

a)
Approximately $360
b)
Exactly $354

3.11)

a)
The increase in price is $4
b)
New price in March: $44
c)
10 % of the price in March: $4.40. The price in April is $39.60. (Note! The answer is not $40)

3.12)

a)
Discount in March: $2. New price in March: $8.
b)
March price being $8 gives an increase of $8 × 20% = $1.60
c)
New price in April: $9.60 (Note! The answer is not $10)

Activities 4

4.1)

$80

4.2)

$50

4.3)

a)
$40
b)
40 %

a)
$40
b)
40 %

4.4)

a)
60 %
b)
$20
c)
40 %

a)
60 %
b)
$20
c)
40 %

4.5)

15 75 = 1 5 = 0.2 = 20%

4.6)

50 %

4.7)

a)
$37.50
b)
1 4 (0.5 × 0.5 = 0.25) or (1 2 × 1 2 = 1 4)

4.8)

a)
$14 The yellow label discount is $12, for an original discounted price of $28. The red label then discounts that price another 50 % to $14, the correct answer.
b)
65 %

Activities 5

5.1)

$42

5.2)

$31.50

5.3)

$29

5.4)

$23

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Activities 5