Practice Test
Name:__________
Number Sense – Decimals & Fractions
Section A
1.
Write the decimal that is given in words in decimal notation:
0.44
a) 44 hundredths = ________
2.
3.
a)
86_ = 0.86
100
b)
48_ = 0.48
100
c)
36_ = 0.36
100
d)
7_ = 0.07
100
e)
65_ = 0.65
100
f)
52_ 0.52
=
100
g)
89_
= 0.89
100
h)
3_ 0.03
=
100
Write a fraction and a decimal for each shaded part:
/
30
/100
______
19
/100
______
______
100
0.51
______
0.30 or 0.3
______
0.19
______
Write a fraction for the number of hundredths. Then draw a heavy line around each column and write a
fraction for the number of tenths:
a)
b)
_20
___
100
5.
0.07
c) 7 hundredths = ________
Write a decimal for the fraction:
51
4.
0.68
b) 68 hundredths = ________
=
2
___
10
c)
_70
___
100
=
7
___
10
d)
_90
___
100
=
9
___
10
_60
___
100
=
6
___
10
Rita says 0.26 is greater than 0.8 because 26 is greater than 8. Is she right? Explain why or why not:
0.8 is the same as 0.80, and 0.80 is bigger than 0.26 . So Rita is wrong
6.
10
1
Answer the following questions. REMEMBER: 100 = 10
a)
8 = ___
80
10
100
b)
9 = ___
90
10 100
c)
3 = ___
30
10
100
d)
50 = __
5
100
10
e)
3 = 30
10
100
7.
Fill in the missing numbers:
a)
b)
d)
tenths
hundredths
tenths
hundredths
tenths
hundredths
tenths
hundredths
5
9
0
7
8
0
4
5
___ = . ____
59
0.59
____
100
8.
c)
___
7 = . ____
0.07
____
___ = . ____
80
0.80____
100
___
45
100
0.45____
= . ____
100
Write the following decimals as fractions:
23
a) 0.23 =
100
b) 0.48 =
48
c)
100
9.
Write the following decimals as fractions:
10.
61
0.61 =
d) 0.05 =
100
a)
0.3 =3
30
53
/
or
/
/100
10
100
Change the following fractions to decimals:
b)
0.53 =
c)
0.09 = 9
a)
9
10
b)
6
10
c)
9
= 0.09
100
= 0.9
= 0.6
5
e) 0.30 =
100
/100
3
d)
0.26 =
d)
68
= 0.68
100
30
100
/10
11. Circle the equalities that are incorrect:
0.15 =
15
100
0.3 =
3
10
0.9 =
9
100
48 =
100
0.2 =
0.48
2
100
12. Write the following decimals in words:
a) .6
b) .07
c) .27
______________________
6 tenths
______________________
7 hundredths
______________________
27 hundredths
______________________
60 hundredths
______________________
______________________
1
13. Write a decimal and a mixed fraction for each of the pictures below:
243/100
2.43
a)
19/100
1.09
b)
14. Write a decimal for each of the mixed fractions below:
a)
27
1 100 = 1.27
b)
35
3 100 = 3.35
c)
2
21 10 = 21.2
d)
89
2 100 = 2.89
15. Write the numbers in order from least to greatest by first changing all of the decimals to fractions with
denominator 100:
0.40
a) .4
1st
0.50
.5
3rd
0.46
.46
2nd
0.37
b)
37
100
2nd
0.40
0.36
.4
.36
3rd
1st
1.59
c) 1.59
2nd
1.50
1.68
1
1 100
50
100
1st
68
3rd
16. Line up the decimals and add or subtract the following decimals:
a) 0.32 + 0.17 =
b) 0.64 – 0.23 =
0.32
+0.17
0.49
0.64
0.23
0.41
c) 0.87 – 0.02 =
0.87
0.23
0.64
17. Subtract 3.51 – 1.34 two ways: (i) by drawing a base ten model and (ii) by lining up the decimal points.
4
(i)
(ii)
= 2.17
3.511
1.34
2.17
18. Bamboo can grow up to 0.3 m in a single day in ideal conditions. How high could it grow in 3 days?
0.3
0.3
+ 0.3
0.9
0.3
x 3
0.9
Bamboo will grow 0.9 m in 3 days
1
19. Lisa bought a slice of pizza for $3.91 and a video game for $14.27.
How much change did she get from $25.00?
14.27
+ 3.91
18.11
25.00
18.11
6.89
She’ll get $6.89 back in change
Section B
20. Multiply:
a)
10 × 0.5 = _____
5.0
b)
1.6 × 10 = _____
16.0
c)
2.75 × 10 = _____
27.5
21. Multiply:
1
a) 100 ×0 .07 = ________
7.0
b) 10 × 0.67 = ________
6.7
c) 100 × 1.82 = ________
182.0
d) 0.50 × 100 = ________
50.0
e) 1.8 × 10 = ________
18.0
f) 0.64 × 10 = ________
6.4
22. To change a measurement from dm to cm, you multiply by 10. To change from dm to mm, you multiply
by 100. Find the answers:
a) 1.38 dm = ______
13.8 cm
b) 4.21 dm = ______
421.0 mm
c)
0.08 dm = ______
mm
8.0
23. Find the products:
2
1 2
a) 5 × 7.5 7.5
x 5
37.5
24. Divide:
b)
5 2
5 × 6.35 6.35
x 5
31.75
c)
8 × 2.63
2.63
x 8
21.04
a) 0.4 ÷ 10 = ______
b) 0.9 ÷ 10 = ______
c) 7.2 ÷ 10 = ______
d) 7 ÷ 10 = ______
e) 39 ÷ 10 = ______
f) 0.7 ÷ 10 = ______
25. Write < or > to show which decimal is greater:
a)
4.7
>
4.5
b)
6.42
<
6.47
c)
1.8
>
1.79
d)
0.3
<
0.33
26. Giant Kelp is the fastest growing ocean plant. It can grow 0.67 m in a day. How much could it grow in
2
four days? Show your work: 2 2
0.67
0.67
0.67
+ 0.67
2.68
0.67
x 4
2.68
51. Mariam walks forward 62.5 cm with each step. How far will she walk if she takes 1000 steps?
62.5cm x 1000 = 62 500cm = 62.5 m
52. You need 1 cup of blueberries and 2 cups of flour to make 12 blueberry muffins.
a) How many cups of blueberries do you need to make 72 muffins?
12 muffins x 6 = 72 muffins
1 cup blueberries x 6 = 6 cups Bb
b) How many cups of flour do you need to make 30 muffins?
2 cups of flour makes 12 muffins
1 cup of flour makes 6 muffins
6 muffins x 5 = 30 muffins
5 cups of flour are needed
c) Tegan has 5 cups of blueberries and 9 cups of flour. How many muffins will she be able to make?
Show your work.
1 cup of flour makes 6 muffins
x9
x9
9 cups of flour makes 54 muffins
1 cup of blueberries makes 12 muffins
x5
x5
5 cups of blueberries makes 60 muffins
She can make 54 muffins with ½ cup blueberries left over