Progress test 1 1
2
4
3 8
7 24
b)
12 30
2 6
b)
c)
3 4
20 36
c)
20 24
4 6
3 4
7
1 2
1 3
Copy and draw a line between the equivalent fractions.
7 10
8
a)
18 24
10 15
b)
3 5
6 8
c)
25 30
9 15
Copy and complete these number sentences. ? 4 11 + = ? 15 15 ? 15 8 = – 24 24 ? 8 5 ? + = 16 ? ?
c)
35 100
75 100
8 12
0 b
1 c
3 10
7 100
? 9 13 + = 10 10 10 ? 32 11 – = 100 ? 100 ? 25 – =2 10 10
Copy and draw a line between the equivalent fractions. 38 100
0.7
7 10
3 100 3 4
0.03
0.38
0.75
What fractions are at a, b, c and d on the number line?
a
5 6 5 9 1 6
Copy and complete these number sentences.
5 6
9
12 18 8 27 4 24
Copy these fractions in order from smallest to largest.
2 3
b)
16
a)
Put these fractions in order from largest to smallest.
a)
5
Copy these fraction pairs and insert <, > or = between them.
a)
7 12
3
6
Write the largest fraction of each pair.
10 Josh has written has written
4 10
on a card and Brodie
28 100 .
What fraction will the boys have if they add their fractions together?
d
Score
/ 10
Progress test 2 1
Put these fractions in order from smallest to largest. 14 24
2
b) c)
6 7 9 18 10 12
3 4
1 8
2 8 4 6
3 12
1 4
Copy and to complete the number sentence using each number once. 8
10
? 6 7 = + ? ? 10
9
5
7
Jo has 6 of a cookie. She eats 12 of it. How much cookie is left?
3 4 4 12
2 3
6 8
What fractions are at a, b, c and d on the number line? 1 10
a
c
b 18
d
Caro has 24 written on his fraction card. Hira 8 has 12 written on hers. Who has the larger fraction?
6
5 8
5
0
5
Add these fraction cards. You will need to find the lowest common denominator and convert them first.
3 12 8
8 21 4 8 12 18
Find four pairs of equivalent fractions from the box below. 1 3
4
8 12
Copy these fraction pairs and insert >, < or = between them. a)
3
5 6
7
Copy and draw a line to match the equivalent decimals and fractions. 0.4 7 10 1 4 4 5
10 Which is the smaller fraction in each pair? a) b) c)
6 24 3 5 6 14
2 12 5 20 12 21
2 8 0.7 4 10 0.8
Score
/ 10
17
Mixed numbers and improper fractions A mixed number is made up of a whole number and a fraction. Improper fractions have a numerator greater than the denominator and a value greater than 1. 1
Example: Jill has 1 2 apples. 1
1 2 is a mixed number. How many
1 2
1
are in 1 2 ?
We can split our whole apple into two halves.
1+1+1=3 2 2 2 2 3 2
is an improper fraction.
Warm up 1
a) How many quarters are shown?
c) How many fifths are shown?
18
b) How many thirds are shown?
Test yourself 2
What mixed numbers do these shapes represent? a) b) c)
3
What improper fractions do these shapes represent? a)
b)
c)
4
3
Copy this pattern and shade 1 4 of it.
Challenge yourself 5
Look at the number line below. 1
e
f a
2
g
b 16
c
8
h 3 d
a) What improper fractions are at a, b, c and d on the number line? b) What mixed numbers are at e, f, g and h on the number line?
How did you do?
19
Convert mixed numbers and improper fractions We can convert mixed numbers to improper fractions. 2
Example: Convert 1 3 to an improper fraction. 2
13 1 3
1 3
1 3
1 3
1 3
1 3
1 3
1 3
1 3
1 3
= 5 3
To convert improper fractions to mixed numbers we divide the numerator by the denominator. Example: Convert 1 4 1 4
1 4 1 4
1 4 1 4
1 4
7 4 3 7 á 4 = 1 r 3 or 14
7 4
to a mixed number. 1 4 1 4
1 4 1 4
1 4 1 4
1 4
3
14
Warm up 1
20
What mixed numbers do these shapes represent?
a)
c)
b)
d)
2
What improper fractions do these shapes represent?
a) b)
c) d)
Test yourself 3
Convert these mixed numbers to improper fractions. 5
a) 3 6 4
3
b) 7 4
5
c) 4 8
Convert these improper fractions to mixed numbers. a) 11 5
b) 7 3
c) 16 7
Challenge yourself 5
Add these fractions, giving your answers as mixed numbers. a) 5 + 6 b) 4 + 5 c) 6 + 7
6
3+4= 6 6 3+2= 5 5 6= 7
Add these fractions, giving your answers as improper fractions. a) 4 + 8 + 3 = 9 9 9 b) 5 + 3 + 4 = 8 8 8 c) 1 3 + 6 = 5 5
7
7
Tabitha has 1 8 of a pie. Sam has
13 8
How did you do?
of a pie. Who has more pie?
21