Progress test 1 1
2
3
4
5
16
Simplify these fractions. a)
5 20
b)
11 33
c)
12 48
6
Mia and Tabitha each have a fraction card. Whose fraction is the largest?
Mia
7
12 30
Tabitha
18 40
Order these fractions from smallest to largest.
Simplify these fractions. a)
27 30
b)
26 48
c)
36 60
8 12
8
a)
8 12
b)
4 6
c)
9 27
9
1 2
3 4
4 12
Order these fractions from smallest to largest. 7 12
Convert these fractions to thirds.
5 6
4 6
5 8
3 4
2
1
Ollie has 7 of a tray of toffee. Luca has 6 of the tray. How much toffee do the children have altogether?
10 Dylan makes a tray of 24 brownies. He 3
gives away 8 of his brownies. What fraction of his tray does he have left?
Convert these fractions to sixths. a)
10 12
b)
1 3
c)
16 48
Copy these pairs and circle the smaller fraction from each pair. a)
12 15
3 7
b)
16 12
14 7
c)
9 12
14 20
Score
/10
Progress test 2 1
2
3
6
Simplify these fractions. a)
30 105
b)
78 104
c)
20 35
How much water do the children have altogether?
Convert these fractions to 12ths. a)
2 4
b)
4 48
c)
16 96
3
Nur has 10 of a bottle of water. Connor 7 adds 15 .
7
6 3 – =? 7 4
8
Ava has a jug of lemonade. She pours out 2 5
5
of it and then another 15 . How much lemonade is left?
12
Muhammad got 24 in his science test and 18 30 in his maths test. In which subject did Muhammad do best?
4
Order these fraction cards from smallest to largest.
14 20 5
3 5
18 40
5 8
2 10
9
Simplify these fractions. a)
12 32
b)
15 105
c)
16 56
Add these fraction cards.
5 24
3 8
1 6
10 What is the lowest common denominator for these fractions? 1 7
1 5
Score
1 4
/10
17
Divide fractions We can divide a whole into equal parts. We can do the same with fractions. 1
Example: Uma has 3 of a pizza. She shares it with her sister. How much pizza do the girls have each?
If we divide each
1 3
into two equal parts we have six parts altogether.
=
1รท2=1 3 6
Warm up 1
Use the fraction wall below to help you divide these fractions by 2. a) 1 4 b) 1 6 c) 1 5
1 1 2 1 3
1 3
1 4
1 8 1 10 1 12
1 12
1 5
1 6 1 8
1 10
1 6 1 8
1 10 1 12
1 4
1 5
1 6
1 8
1 12
1 4
1 5
1 6
1 10
1 3
1 4
1 5
20
1 2
1 12
1 10 1 12
1 6
1 8 1 10 1 12
1 5
1 8 1 10 1 12
1 6 1 8
1 10 1 12
1 8 1 10
1 12
1 12
1 10 1 12
2
Divide the shaded fractions by 4. Give your answer as a fraction of the whole shape. a)
b)
c)
Test yourself 3
Divide the shaded fractions by 3. Give your answer as a fraction of the whole shape. b)
a)
4
c)
Copy and complete these number sentences. a) 1 ÷ 4 = 3 b) 1 ÷ 3 = 4 c) 1 ÷ 4 = 2
Challenge yourself 5
Lena has an apple and cuts it into four pieces. She takes one of the pieces and cuts it in half. What fraction of an apple does she have now?
6
Peter shares 3 of a plum pie between his three friends. What fraction of the pie does each friend get?
7
Copy and complete these number sentences.
1
a) 1 ÷ 4 = 8 b) 1 ÷ 3 = 10 c) 1 ÷ 4 = 15
How did you do?
21
Fractions, decimals and percentages We need to know the decimal and percentage equivalents for common fractions. Fraction
0
1 4
1 2
3 4
1
Decimal
0
0.25
0.5
0.75
1
Percentage
0
25%
50%
75%
1
Fraction
0
1 5
2 5
3 5
4 5
1
Decimal
0
0.2
0.4
0.6
0.8
1
Percentage
0
20%
40%
60%
80%
100%
Knowing these equivalents helps us to compare them. Example: Which is bigger, 24 30 = 8 10 = 80 100 = 80% 80% > 75% 24 > 75% 30
38
24 30
or 75%?
Warm up 1
Convert these fractions to decimals. a) 2 5 b) 6 8 c) 3 12
2
Convert these fractions to percentages. a) 1 20 b) 1 50 c) 1 25
Test yourself 3
Convert these fractions to percentages. b) 27 c) 63 a) 8 40 30 90
4
Copy and complete these number sentences. % a) 4 = 5 b) 0.32 = c) 0.45 =
%
Challenge yourself 5
Write >, < or = between these amounts. 12 a) 30% 20 1 b) 0.125 8 c) 8 35% 24
6
Leo got 45% in a test. Gina got
8 12 .
How did you do?
Who scored the highest?
39