Practice
Number – number and place value
Unit 1: Count in multiples of 6, 7, 9, 25 and 1000 1. Complete these sequences. a) Multiples of 6
b) Multiples of 7
c) Multiples of 9
d) Multiples of 25
e) Multiples of 1000
2. Use the key to colour the sharks.
Key Multiples of 6 – green Multiples of 7 – red Multiples of 9 – yellow
Multiples of 25 – blue Multiples of 25 and 1000 – pink
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Quick test
Number – number and place value
Unit 1: Count in multiples of 6, 7, 9, 25 and 1000 1. Two sequences of multiples have got mixed up. Write them as separate sequences. a) 54, 36, 42, 18, 45, 48, 63, 60, 27, 66, 54, 72 Multiples of 6: Multiples of 9: b) 81, 77, 49, 63, 70, 90, 84, 56, 72, 45, 63, 54 Multiples of 7: Multiples of 9: c) 4000, 1050, 2000, 1000, 1100, 1000, 3000, 1025, 1075, 5000 Multiples of 25: Multiples of 1000: 2. Kangaroos are racing in pairs. Kangaroo A makes jumps of 6 metres, Kangaroo B makes jumps of 7 metres and Kangaroo C makes jumps of 9Â metres. Assume each pair of kangaroos begins the race at the same time and from the same starting point. Which kangaroo will jump the furthest and win the race? Write the distance the two kangaroos are apart when they have both completed their jumps. a) Kangaroo A: 8 jumps Winner: Kangaroo b) Kangaroo C: 5 jumps Winner: Kangaroo c) Kangaroo B: 11 jumps Winner: Kangaroo
Kangaroo B: 7 jumps Distance apart:
m
Kangaroo A: 7 jumps Distance apart:
m
Kangaroo C: 8 jumps Distance apart:
m
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Practice
Number – number and place value
Unit 2: Find 1000 more or less than a given number 1. Use the Base 10 blocks to find 1000 more or 1000 less than these numbers. a) e) 1000 more 1000 less
b)
f)
1000 more
c)
1000 less
1000 more
d)
1000 more
2. Roll a dice four times to create a four-digit number. Record the number in the middle box then find the number that is 1000 less and the number that is 1000 more. Try it three times. 1000 less 1000 more
1000 less 1000 more
1000 less 1000 more
3. Complete the boxes by finding the patterns.
6793 8783
6693
6493
7783
9783 6763
3493
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Quick test
Number – number and place value
Unit 2: Find 1000 more or less than a given number 1. Complete the number sequences. a) 247, 1247, 2247, 3247, b) 1 639,
,
, 5247,
, 7247,
, 4 639, 5 639,
, 7 639, 8 639,
, 4 584,
, 2 584, 1 584
c) 8 584, 7 584,
,
d) 9 403, 8 403,
, 6 403,
, 4 403, 3 403,
, 1 403,
2. Find the numbers that are 1000 more or 1000 less than these numbers. Write the answers in word form. Number
1000 more
1000 less
eight hundred and seventeen three thousand four hundred and six seven thousand two hundred and eighty-five nine thousand and ninety-nine 3. Answer the questions. a) Lara says that she can make the number 1000 more than 4289 with the digits 3, 4, 9, 8. Is this true? Explain your answer.
b) Tomaso says that he can make the number 1000 less than 9057 with the digits 5, 8, 7, 0. Is this true? Explain your answer.
c) Millie thinks of a number. She says: ‘The number 1000 more than my number is made with the digits 7, 2, 9, 3. The number 1000 less than my number is made with the digits 9, 7, 3.’ What number is Millie thinking of?
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Practice
Number – number and place value
Unit 3: Count backwards through 0 to include negative numbers 1. Fill in the missing numbers. a) –8 –6 –5 b) −17
−16
–2
−14
c) –9 –8
0
−12
−11
°C –3
–6
1
2
4
−9
0
1
3
4
2. The depth of each submarine is recorded on a negative scale in steps of 2 m, 3 m or 5 m. Fill in the missing depths for each submarine. a)
−0 −2 − −6 − −10 −12 − −16 −
b)
c)
−0 − −6 − − −15 − − −26 − −30
−0 −5 − − − −25 −30 − −40 − −50
3. The temperature reading on each thermometer drops 4 degrees every minute. What will the temperature be after the number of minutes given? a) 3 minutes
–16 –14 –12 –10 –8 –6 –4 –2
0
2
4
6
°C 8
10
°C b) 4 minutes
–20 –18 –16 –14 –12 –10 –8
–6
–4
–2
0
2
c) 5 minutes –18 –16 –14 –12 –10 –8 –6 –4 –2
0
2
4
6
°C
°C
4
8
°C °C
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Quick test
Number – number and place value
Unit 3: Count backwards through 0 to include negative numbers 1. Write the next three numbers in each sequence. ,
a) 3, 2, 1, 0, −1,
,
c) −10, −11, −12,
,
e) 6, 4, 2, 0,
,
g) 12, 8, 4, 0, i) 18, 13, 8, 3,
, ,
b) 1, 0, −1, −2, −3, −4, −5, ,
, ,
,
d) −27, −28, −29,
,
f) 7, 5, 3, 1,
,
,
h) 9, 6, 3, 0,
,
,
j) 27, 21, 15, 9,
,
,
,
,
,
2. a) Liam counted down in 2s until he reached −8. He started at 6. What was the 6th number he said? b) Tilda counted down in 4s until she reached −12. She started at 8. What was the 5th number she said? c) Alfie counted down in 3s until he reached −14. He started at 7. What was the 7th number he said? d) Grace counted down in 5s until she reached −27. She started at 13. What was the 8th number she said? 3. Use the number line to solve each problem. Write the answer as a negative number. Don’t forget to include the correct units. –20
–10
0
10
20
a) A metal ball is dropped from a height of 7 metres above sea level. It falls vertically a distance of 11 metres. If sea level is assumed to be 0 metres, what is the height of the ball after it has fallen? b) Toby has £8 in his bank account. If he spends £12, what is the balance of his account now? (The balance is how much money is in the account. It can be a negative number.) c) The reading on a thermometer is 5 °C. If the temperature drops by 16 degrees, what will the new reading be?
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