CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
WORKSHEET 1A
Name ___________________________________ Date _____________
Worksheet 1A: The number system
1
Identify the place value for each digit in the number 304.215.
One has been done for you.
Digit
Place value
0
1
2
3
hundreds
4
5
2
Complete the place value diagram.
3
Kofi regroups five numbers but two of his answers are wrong.
Which answers are wrong?
A 38.565 = 3856 tenths + 5 thousandths
B −48.39 = −40 − 8 − 0.3 − 0.09
C 34.079 = 34 + 0.79
D −56.079 = −50 − 6.079
E 76.091 = 70 + 6 + 0.09 + 0.001
4
What is 5.28 to the nearest tenth? ____________
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1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
5
WORKSHEET 1A
Hassan says, ‘I can multiply by 100 by adding two zeros.’
Explain why Hassan is wrong.
6
What is the value of the 7 in 4.678? ____________
7
Write the missing numbers.
8
a 8.5 × 1000 =
b 0.79 × 100 =
c 3.78 × 10 =
d 560 ÷ 100 =
e 363 ÷ 1000 =
f 54.7 ÷ 10 =
What decimal number is represented by
20 + 4 + 9 + 7 + 9 ? ____________
10 100 1000
9
Round these lengths to the nearest metre.
Length
a
8.72 m
b
1.6 m
c
6.09 m
d
4.1 m
To the nearest metre
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2
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
WORKSHEET 1B
Name ___________________________________ Date _____________
Worksheet 1B: The number system
1
2
Write the missing numbers.
a
× 0.7 = 7
b 903 ÷
= 9.03
c
× 0.13 = 130
d 1.3 ×
= 1300
Write the missing number.
16.003  16  3
3
Kofi regroups five numbers but two of his answers are wrong.
Which answers are wrong?
A 38.565 = 3856 tenths + 5 thousandths
B −48.39 = −40 − 8 − 0.3 − 0.09
C 34.079 = 34 + 0.79
D −56.079 = −50 − 6.079
E 76.091 = 70 + 6 + 0.09 + 0.001
4
Ollie writes the number 136.25
He writes a second number where the 6 represents a value that is one-tenth
the value of the 6 in his first number.
Draw a ring around the value of the 6 in Ollie’s second number.
six hundredths
5
six tenths
six ones
six tens
Write the largest number from the list that rounds to 10 when rounding
to the nearest whole number. ____________
10.55
9.99
10.9
10.45
10.5
9.5
9.9
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1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
6
WORKSHEET 1B
Here are four numbers.
5.55
55.5
555
550
55 500
Which of these numbers is 100 times smaller than 5550? ____________
7
A thousand times a number is 3500.
What is the number? ____________
8
Mandy says, ‘4.25 can be written as 3 ones, 13 tenths and 5 hundredths.’
Is Mandy correct? Explain your answer.
9
Two numbers each with 2 decimal places round to 2.5 to the nearest tenth.
The sum of the two numbers is 4.99
What could the numbers be?
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2
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
LANGUAGE WORKSHEET 1A
Name ___________________________________ Date _____________
Language worksheet 1A
1
Write the numbers.
a four hundred and sixty-seven point one nine ________________
b nineteen and thirty-seven hundredths ________________
c seven hundred and three point six five two ________________
d three and twenty-six hundredths ________________
e one thousand eight hundred and fifty-six and one hundred and three
thousandths ________________
f nine hundred and two thousand and ninety-four hundredths ________________
g This number is the equivalent of eight plus five tenths, plus three hundredths,
plus six thousandths ________________
2
Look at the number and answer the questions.
493.951
a Which number has the highest place value?
______________
b What digit represents the number of thousandths? ______________
c Which number follows the decimal point?
______________
d Which number comes before the decimal point?
______________
e What is the value of five in this number?
______________
f How many digits are in this number?
______________
g How many decimal places are in this number?
______________
Cambridge Primary Mathematics 6 – Harper © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
3
LANGUAGE WORKSHEET 1A
Write the correct word from the box.
decompose
regroup
hundredth
tenth
compose
thousandth
a You do this if you express 67.9 as 60 + 5 + 2.9. ______________
b This is one part in ten equal parts. ______________
c This is one part in one hundred equal parts. ______________
d You put together a number such as, 400 + 30 + 5 + 0.1 + 0.07 is 435.17.
______________
e You break down a number, for example, 49.223 is 40 + 9 + 0.2 + 0.02 + 0.003.
______________
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2
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
LANGUAGE WORKSHEET 1B
Name ___________________________________ Date _____________
Language worksheet 1B
1
2
Read the clues. Draw lines to match each clue to the correct number.
a This number is smaller than fifty but greater than 39.
27.596
b The hundredth of this number is greater than eight.
35.168
c The thousandth of this number is smaller than two.
20.009
d If you round this number up to the nearest ten it is forty.
45.914
e If you round this number down to the nearest whole number,
it is twenty.
31.981
Complete using words from the box.
hundredth
whole
hundred
tenth
thousand
ten
a
The time is rounded to the nearest ____________ number.
b
The water is rounded to the nearest ____________.
Cambridge Primary Mathematics 6 – Harper © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
LANGUAGE WORKSHEET 1B
c
The distance is rounded to the nearest ____________.
d
The time is rounded to the nearest ____________.
e
The height is rounded to the nearest ____________.
f
The number of people is rounded to the nearest ____________.
Cambridge Primary Mathematics 6 – Harper © Cambridge University Press 2021
2
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1A
Resource sheet 1A: Number grid
0.001
0.02
3000
4
500
0.6
1
20
0.03
0.004
0.05
600
1000
0.002
3
0.4
50
0.06
0.01
200
0.3
40
5000
6
100
2
0.003
0.04
0.5
6000
0.1
2000
30
400
0.005
60
10
0.2
300
4000
5
0.006
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1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1B
Resource sheet 1B: Place value chart
Cambridge Primary Mathematics 6 – Wood, Low, Byrd & Byrd © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1C
Resource sheet 1C: Place value match
(an activity for pairs)
Cut out the cards.
Shuffle the cards and lay them face up on the table.
Take it in turns to find three matching cards, lay them side by side and
read the cards out loud.
4.615
4 + 0.6 + 0.01 + 0.005
four ones, six tenths, one hundredth
and five thousandths
4.605
4 + 0.6 + 0.005
four ones, six tenths and five
thousandths
6.415
6+
4
1
5
+
+
10 100 1000
six ones, four tenths, one hundredth
and five thousandths
6.514
6+
5
1
4
+
+
10 100 1000
six ones, five tenths, one hundredth
and four thousandths
5.461
5 + 0.4 + 0.06 + 0.001
five ones, four tenths, six hundredths
and one thousandth
5.164
5 + 0.1 + 0.06 + 0.004
five ones, one tenth, six hundredths
and four thousandths
1.456
1+
4
5
6
+
+
10 100 1000
one, four tenths, five hundredths
and six thousandths
1.645
1+
6
4
5
+
+
10 100 1000
one, six tenths, four hundredths
and five thousandths
4.005
4 + 0.005
four ones and five thousandths
4.165
4 + 0.1 + 0.06 + 0.005
four ones, one tenth, six hundredths
and five thousandths
5.104
5+
1
4
+
10 1000
five ones, one tenth
and four thousandths
6.405
6+
4
5
+
10 1000
six ones, four tenths
and five thousandths
Cambridge Primary Mathematics 6 – Wood, Low, Byrd & Byrd © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1D
Resource sheet 1D: Three in a row
(a game for 2 players)
You will need: Counters (a different colour for each player).
What to do: Take turns to choose a number and an operation and work out the answer.
If your partner agrees with your answer and it appears on the grid, put one of your
counters on the number. The winner is the first to get three counters in a row.
Numbers
Operations
10
× 10
6.54
× 1000
0.7
÷ 1000
54
÷ 100
3.8
94
Grid:
100
940
54 000
65.4
0.007
3800
700
0.094
10 000
0.54
6540
0.94
540
0.038
0.01
0.054
0.1
94 000
7
38
Note that some answers do not appear on the grid.
Can you decide why they are not there?
Cambridge Primary Mathematics 6 – Wood, Low, Byrd & Byrd © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1E
Resource sheet 1E: True or False cards for
multiplication and division
7.89 × 10 = 78.9
6.1 ÷ 10 = 0.061
4350 ÷ 1000 = 4.35
67.5 × 10 = 67.50
40.1 × 1000 = 41 000
8.66 × 1000 = 8600
1940 ÷ 100 = 194
4.5 ÷ 100 = 450
407 × 1000 = 400 070
302 × 100 = 30 200
2.1 × 1000 = 2100
60 000 ÷ 100 = 6
150 × 100 = 10 500
45 600 ÷ 100 = 456
Cambridge Primary Mathematics 6 – Wood, Low, Byrd & Byrd © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
RESOURCE SHEET 1F
Resource sheet 1F: Working with
decimal measures
Write your answers in your exercise book.
1
Leo took part in the triple jump event at an athletics competition.
He had to hop, skip and jump.
He hopped 0.76 m
He skipped 1.84 m
He jumped 3.27 m
What was the total length of the triple jump rounded to the nearest tenth
of a metre?
2
Huan won the hurdles race event.
Her time was measured to 2 decimal places.
Her result was given as 14.7 seconds to the nearest tenth of a second.
What is the slowest time Huan could have recorded?
3
Wayne swims 0.74 km in 30 minutes.
If he continues at the same speed, how far does he swim in 1 hour?
Give your answer rounded to 1 decimal place.
Cambridge Primary Mathematics 6 – Wood, Low, Byrd & Byrd © Cambridge University Press 2021
1
CAMBRIDGE PRIMARY MATHEMATICS STAGE 6
4
RESOURCE SHEET 1F
Tara bought wood to make two shelves.
The first shelf is 2.84 m long.
The second shelf is 1.96 m long.
Wood is sold in metre lengths.
What is the shortest length of wood
Tara can buy to make both shelves?
5
Mrs Monk’s last three supermarket bills were $74.88, $65.90 and $59.05.
Anil rounds each bill to the nearest dollar then adds them up.
What is Anil’s total.
Eva rounds each bill to the nearest tenth of a dollar then adds them up.
What is Eva’s total?
What is the difference between the two totals?
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