Number sentences

Number
Number sentence
sentence patterns
patterns
2-digit
calculation
We can make equivalent number sentences to help solve problems.
eg Henri keeps 8 chickens and 2 roosters. His mother has the same number
of fowls, but she has 6 chickens. How many roosters does she have?
Working: 8 + 2 is the same as 6 + ?
8 + 2 is 10 which is the same as 6 + 4, so Henri’s mother has 4 roosters.
1 Make three number sentences which have the same total as:
a 4+7
____________________ ____________________ ____________________
b 5+8
____________________ ____________________ ____________________
c 11 + 6 ____________________ ____________________ ____________________
d 16 + 9 ____________________ ____________________ ____________________
e 18 + 6 ____________________ ____________________ ____________________
2 Match the equivalent number sentences and write them showing equivalence.
17 + 2 = 15 + 4
eg 17 + 2
15 + 4
__________________________________
a 17 + 9
12 + 13
__________________________________
b 23 + 6
18 + 8
__________________________________
c 15 + 10
26 + 5
__________________________________
d 18 + 7
16 + 13
__________________________________
e 22 + 5
19 + 6
__________________________________
f 19 + 12
16 + 11
__________________________________
3 Show how to use equivalent number sentences to answer the questions.
a I saved $15 one week and then another $20 the next week.
Jenni saved $13 the first week and wants to equal my savings in the next week.
How much more does she have to save?
________________________________________
= ________________________________________
b There are 28 boys and 12 girls in one bus on the excursion.
16 girls get into the other bus and 24 boys follow.
Do the buses have equal loads?
________________________________________
Make a table
82
=
________________________________________
Annie has ten pets – some dogs and some cats. Make a table to
show the possible numbers of dogs and cats she could have.
ACMNA076 Number and place value • Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where
there is no remainder. ACMNA083 Patterns and algebra • Use equivalent number sentences involving addition and subtraction to find unknown quantities.
Missing
Missing numbers
numbers
Algebra
1 Find the missing numbers for these number sentences.
a 7 π ______ = 21
b 9 π ______ = 18
c 5 π ______ = 25
d ______ π 4 = 24
e ______ π 6 = 30
f
b 35 = ______ π 7
c 42 = ______ π 6
e 45 = 9 π ______
f
2 a 50 = ______ π 10
d 36 = 6 π ______
______ π 5 = 35
28 = 4 π ______
3 Match the number sentences that have the same answer.
a
7π4
4π4
8π5
b
8π7
50 – 1
10 π 4
15 + 6
4 π 14
14 π 2
9π6
6π6
7π7
4 π 12
30 – 3
4π9
3 π 14
40 + 14
5π6
2π8
2π9
double 15
60 – 6
6π3
7π6
6π8
is the
same
as
9π3
is the
same
as
6π9
7π3
4 Match the story to two number sentences. Complete the number sentences.
a I bought 5 cards for 95c.
How much was each card? ______
b I packed 56 kg of oranges
equally into 8 bags. How many
kilograms in each bag? ______
c The fisherman found a muddle of 64
octopus legs on the beach. How many
octopuses were in the muddle? ______
56 ÷ 8 = ______
8 π ______ = 64
10 π ______ = 120
5 π ______ = 95
______ π 8 = 56
64 ÷ 8 = ______
95 ÷ 5 = ______
120 ÷ 10 = ______
d I rode my bike for 120 km over
10 days. How many km did I
average each day? ______
ACMNA076 Number and place value • Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where
there is no remainder. ACMNA082 Patterns and algebra • Solve word problems by using number sentences involving multiplication or division where there is no remainder.
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