Numeracy Strategies Worksheets Page 31
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3239
NUMERACY STRATEGIES
(Chapter 1)
EXERCISE 1D.7
1
Use materials to divide these amounts and decide whether there will be a remainder.
a
27 ¥ 4
b
35 ¥ 8
c
56 ¥ 9
d
44 ¥ 5
2
Without using materials, find the remainders in:
a
42 ¥ 5
b
73 ¥ 8
c
29 ¥ 3
d
55 ¥ 6
e
88 ¥ 9
f
55 ¥ 7
g
39 ¥ 4
h
112 ¥ 9
Check your answers with a calculator. What has happened to your remainder?
‘Paper power’
This is the written form for division we use when the numbers are to difficult to work out
mentally.
Jim has 76 potatoes to be put in equal numbers in 4 bags. How many are put in each bag?
He splits 76 into 40 + 36 and divides each of these numbers by 4, to get
10 + 9 = 19.
He noticed that this could
1 9
He said: 4s into 70 are 10 with 30
be done as follows:
remaining, then 4s into 36 are 9.
3
4
7
6
EXERCISE 1D.8
1
Find these using the written form: (Use materials if you need to.)
a
69 ¥ 3
b
85 ¥ 5
c
132 ¥ 6
d
112 ¥ 7
e
135 ¥ 9
2
Tony has a trip of 64 km to make. If his vehicle uses a litre of fuel every 4 km, how
many litres will he need to buy?
‘Nines and threes’
Knowing quickly whether a number is equally divisible by nine or three is a valuable strategy
to have.
Example: June has 162 donuts to put in boxes with nine in each.
How many boxes will she need?
June noticed that 162 = 100 + 60 + 2
= 99 +
1
+ 54 +
6
+
2
= 99 + 54 + (1 + 6 + 2)
where both 99 and 54 are divisible by 9
She then claimed that 162 is divisible by 9 because the sum of the digits of 162
which is 1 + 6 + 2 is divisible by 9. Is she correct? Discuss her claim.
June also claimed that:
‘A whole number is divisible by 3 if the sum of its digits is divisible by 3’
Is she correct?
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