KEY 6th Grade Practice Sample Test
Chapter 8
Name: ________________________________
Express each ratio as a FRACTION in simplest form:
1) 18 out of 30 babies are girls: 18 ∶ 30 =
18
30
3
5
11
20
=
2) 11 out of 20 potatoes are rotten: 11 ∶ 20 =
16
20
3) John made 16 out of 20 free throws: 16 ∶ 20 =
=
4
5
Express each ratio as a RATE: Rate means PER (Divide)
3"
4) 3 inches of rain in 6 months: 3” per 6 months = 6 𝑀𝑜𝑛𝑡ℎ𝑠 = .5" 𝑝𝑒𝑟 𝑚𝑜𝑛𝑡ℎ
5) 6 cans for $1.80:
6 𝑐𝑎𝑛𝑠
$1.80
1 𝑐𝑎𝑛
$1.80
𝑂𝑅
= $. 3 𝑝𝑒𝑟 𝑐𝑎𝑛
30 𝑐𝑒𝑛𝑡𝑠
6
180 𝑃𝑂𝑈𝑁𝐷𝑆
= 90 𝐿𝐵𝑆 𝑝𝑒𝑟 𝐵𝑜𝑥
2 𝐵𝑂𝑋𝐸𝑆
=
6) 180 pounds in 2 boxes:
SOLVE the Proportions using CROSS PRODUCTS: SHOW WORK!
9
12
7)
=
𝑄
8
8)
𝑚
16
=
5
8
9)
10
12
=
25
ℎ
10)
12
20
=
15
𝑇
9 x 8 = 12q
8m = 80
10h = 300
12r = 300
72 = 12 q
m = 80/8
h = 30
r = 25
6=q
m = 10
You can also REDUCE before working the problems:
9
𝑄
9
3
3
𝑄
= 8 ∶ 12 = 4 so 4 = 8 : Cross Multipy: 4Q = 24, Divide by 4: Q = 6
12
9)
10
12
12
5
6
=
3
so
5
6
3
=
25
ℎ
: Cross Multiply: 5h = 150, Divide by 5: h = 30
15
10) 20 = 5 so 5 = 𝑇 : Cross Multiply: 3T = 75, Divide by 3: T = 25
Use Cross products to determine IF the Ratios are Proportions: SHOW WORK
11)
4
11
7
3
12
𝑎𝑛𝑑 22
12) 9 𝑎𝑛𝑑 36
4 x 22 = 7 x 11
3 x 36 = 9 x 12
88 = 77?
108 = 108?
NO
YES
𝟑
𝟏
When possible, you can reduce: 𝟗 = 𝟑 𝒂𝒏𝒅
or reduce 1st!
3
1
12
) 9 = 3 𝑎𝑛𝑑 36 =
𝟏𝟐
𝟑𝟔
1
3
𝟏
=𝟑
13)
A scale drawing of a room says that 1 Unit = 2 feet.
What is the actual length of the room?
Since 1 Unit = 2 Feet. The Simple Multiple is 2. SO
1 𝑢𝑛𝑖𝑡
11 X 2 = 22 Feet. As a ratio: 2 𝑓𝑒𝑒𝑡 =
11 𝑢𝑛𝑖𝑡
𝑋 𝑓𝑒𝑒𝑡
=
1x = 2 x 11 of x = 22.
RATIOS always can be used. This was a simple scale.
14)
A map has a scale that 2 inches = 300 miles. It is 500 miles from Point A to Point B.
How long is the line on the map to connect the two points?
𝑠𝑐𝑎𝑙𝑒
RATIO: 𝑚𝑖𝑙𝑒𝑠 𝑠𝑜
2"
300 𝑚𝑖𝑙𝑒𝑠
=
𝑋"
500 𝑚𝑖𝑙𝑒𝑠
Cross Multiply: 300x = 2 x 500.
300x = 1000. So, X = 3.33 Inches
KEY 6th Grade Practice Sample Test
Chapter 8
Name: ________________________________
Convert the Percent values to Decimal values:
15)
77%
16) 8%
77
8
= .77
= .08
100
100
Convert the Decimals to Percent:
18) .54
54
= 54%
100
Find the Percent of each number:
21)
25% of 60
You can do these 5 different ways.
25% = .25 so .25 x 60 = 15
1
1
60
25% = .25 = 4 so: 4 x 60 = 4 = 15
Percent Ratio:
1
𝑥
𝑋
60
=
25
100
17) .3%
.3
= .003
100
19) .6
6
60
= 100 60%
10
758
1000
20) .758
=
= 75.8%
22) 5% of 200
75.8
100
23) 33% of 390
.05 X 200 = 10
1
200
x 200 = 20 = 10
20
𝑠𝑜: 100𝑥 = 1500. 𝐷𝑖𝑣𝑖𝑑𝑒 𝑏𝑦 100:
1500
100
.33 x 390 = 287
= 15
Ratio: 4 = 60 : Cross Multiply: 4x = 60. Divide by 4: x =15
Common Denominator:
1
4
x
𝑥
1
= 60 so: 4 x
Convert each fraction to a Percent:
12
24)
36
15
15
𝑥
= 60
4
24
25) 12
𝟏
= .33333= 33𝟑 %
26) 18
𝟏
= .33333= 33𝟑 %
1.333= 133%
Write as Ratio:
27) The chance of rolling an Even number if rolling one Die:
𝟑
𝟔
Even Numbers: 2, 4, 6: so 3 : 6 or =
𝟏
𝟐
𝟐𝟔
𝟏
28) The chance of getting a black card from a deck of cards: 26 : 52 or 𝟓𝟐 = 𝟐
29) Sue wants to leave a 15% tip on for her $34 dinner. How much tip should she leave?
.15 X 34 = $5.10
𝑻
𝟏𝟓
As a Ratio: or 𝟑𝟒 = 𝟏𝟎𝟎 𝒔𝒐: 𝟏𝟎𝟎𝑻 = 𝟓𝟏𝟎. 𝑫𝒊𝒗𝒊𝒅𝒆 𝒃𝒚 𝟏𝟎𝟎: 𝑻 = 𝟓. 𝟏𝟎
Using the 10% Method: 10% = .1 so .1 x 34 = 3.4. ½ of 3.4 is 1.7: SO Tip = 3.4 + 1.7 = 5.1
30) A dress was on sale for $34. The original price was 40$. How much of a sale did the store offer?
This problem requires you to figure that the dress was $6 off or you could calculate that the sale price of
34 is what % of the original:
6
𝑥
=
𝑠𝑜: 40𝑋 = 600. 𝐷𝑖𝑣𝑖𝑑𝑒 𝑏𝑦 40: 𝑋 = 15%
40 100
if
34
40
=
𝑥
100
discount
𝑠𝑜: 40𝑋 = 3400. 𝐷𝑖𝑣𝑖𝑑𝑒 𝑏𝑦 40: 𝑋 = 85%. 34 is 85% of the original $40. So 15% is the