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grade 6 maths student study pack
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<b>Grade 6 - Maths</b>
<b>Student Study Pack</b>
<b>Week</b> <b>Topic</b> <b>Lesson</b> <b>Resources</b>
Week 21 Fractions 1 Simplification, addition & subtraction KS3 One page 81-86
Week 22 Fractions 2 Conversions, multiplication & division KS3 One page 87-91
*if KS3 One Maths Textbook is not available, use notes and booklets provided in class.
<b>Fractions 1</b>
1. Write the following fractions in words:
a)
3
1 <b>One third</b>
b)
7
4 <b>Four sevenths</b>
c)
8
3 <b>Three eighths</b>
d)
13
12 <b>Twelve Thirteenths</b>
e)
4
1
1 <b>One and One Quarter</b>
2. Write the following words as fractions:
a) One fifth
5
1
b) Two elevenths
11
2
c) Three eighths
8
3
d) Seven twelfths
12
7
e) Three and two thirds
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3. Simplify the following fractions:
a)
6
3
2
1
b)
10
4
5
2
c)
15
12
5
4
d)
36
27
4
3
e)
42
18
7
3
<b>Working with Fractions - Addition and Subtraction</b>
In order to add or subtract, make the denominators (numbers on the bottom of the fractions)
the same.
Then add only the numerators (numbers on the top of the fractions).
Search this video on YouTube to help you understand how to add and subtract fractions.
Math Antics - Adding and Subtracting Fractions
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4. Working with fractions - Addition:
a)
5
1
+
5
3
=
5
4
b)
3
1
+
3
1
=
3
2
c)
3
2
+
3
2
=
3
1
1
d)
5
3
1 +
5
1
1 =
5
4
2
e)
8
3
+
8
5
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5. Working with fractions - Subtraction:
a)
7
6
-7
2
=
7
4
b)
5
4
-5
2
=
5
2
c)
3
2
1
-3
4
=
3
1
d)
13
9
-13
5
=
13
4
e)
6
3
-12
6
=
0
6. Super Maths! Calculate the answers in their simplest form (<b>hint</b>: try simplifying first):
a)
21
14
+
27
9
=
1
b)
40
32
-16
4
=
20
11
20
5
20
16
4
1
5
4<sub></sub> <sub></sub> <sub></sub> <sub></sub>
c)
7
6
-42
36
=
0
d)
144
120
-24
16
=
6
1
e)
7
21
3 + 1 =
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<b>Fractions 2</b>
<b>Resources</b>
Search these videos on YouTube to help you understand how to work with fractions.
What are percentages?
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Finding a percent of a number
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<b>Working with Fractions - Further Instructions</b>
<b>Working with Fractions - Multiplication</b>
Multiply the numerators together.
Multiply the denominators together.
Simplify.
Search this video on YouTube to help you understand how to multiply fractions.
Math Antics - Multiplying Fractions
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2. Working with fractions - Multiplication:
a)
2
1
8
7
16
7
b)
11
5
3
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c)
6
1
9
8
<sub>54</sub>8 →27
4
d)
8
7
6
3
<sub>48</sub>21 →16
7
e)
8
9
3
2
<sub>24</sub>18 →8
6
→
4
3
<b>Working with Fractions - Division</b>
Flip the dividing fraction (second fraction) upside-down so that the numerator is the
denominator and the denominator is now the numerator.
Multiply like a normal fraction.
Simplify.
Search this video on YouTube to help you understand how to divide fractions.
Math Antics - Dividing Fractions
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3. Working with fractions - Division:
a)
8
9
3
2
21
16
9
8
3
2<sub></sub> <sub></sub>
b)
12
9
7
5
<sub>63</sub>60 20<sub>21</sub>c)
12
3
10
6
2<sub>5</sub>2</div>
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