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Secure Maths - Secure Year 6 Maths Pupil Resource Pack: A Primary Maths intervention programme

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Practice

Number – number and place value

Unit 1: Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit 1. Write these numbers in numerals. a) three hundred and forty thousand, five hundred and six b) eight hundred thousand and four c) five million, nine hundred and sixty-four thousand, seven hundred and twenty d) two million, five thousand and thirty 2. Write these numbers in words. a) 609 013 b) 8 091 105 3. Calculate, using place value. a) 400 000 + 500 = b) 50 000 + 70 = c) 300 000 + 50 000 + 7000 + 800 + 20 + 1 = d) 6 000 000 + 700 000 + 40 000 + 1000 + 600 + 50 + 9 = e) 80 000 + 6 + 4 000 000 + 5000 + 300 = 4. What is the value of the 6 in these numbers? a) 4 369 215

b) 7 615 004

c) 8 426 119

d) 6 927 354

5. Write these numbers in order, from largest to smallest. a) 978 935 1 245 742 99 999

b) 5 475 312

5 457 321

5 475 321

987 276

5 457 231

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Quick test

Number – number and place value

Unit 1: Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit 1. Write these numbers in numerals in the place-value grid. a) five hundred and seventy-six thousand and fourteen b) three million, eight hundred and ninety thousand, four hundred and five c) three hundred and eighty thousand, one hundred and twelve d) four million, five hundred and twenty thousand, two hundred and ten e) four hundred and thirty thousand and ninety-one f) five million and forty-five Million Hundred thousand Ten thousand Thousand Hundred Ten

Ones

2. What is the value of the 9 in these numbers? a) 3 196 385 b) 8 904 215 3. Write these numbers in order, from smallest to largest. 2 150 001 2 090 003 2 125 786 2 089 998

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Practice

Number – number and place value

Unit 2: Round any whole number to a required degree of accuracy 1. Round 325 816 to the nearest: a) 10

b) 100

c) 1000

d) 10 000

e) 100 000 2. Draw a line to connect each decimal to the whole number it rounds to. Cross out the decimals that do not connect to either number. 7·63 8·51

8·1

7·3 7 8

6·59

7·8

7·45 6·45

3. Complete the table. Population 4 000 000

Million 4 million

2 000 000 6∙5 million 8 400 000 5∙41 million 7 260 000 4. The moon is an average of 384 400 kilometres away from earth. What is this distance, to the nearest 1000 kilometres?

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Quick test

Number – number and place value

Unit 2: Round any whole number to a required degree of accuracy 1. Round 582 971 to the nearest: a) 100 000 b) 100

2. The area of Australia is 7∙69 million square kilometres. Write this as a seven-digit number.

3. 386 097 is rounded to the nearest 10 and the nearest 100. What do you notice? Is one more accurate than the other?

4. Round 48∙36 to the nearest: a) tenth b) whole number c) ten

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Practice

Number – number and place value

Unit 3: Use negative numbers in context, and calculate intervals across 0 1. The table shows the average daily January temperatures of some European cities. City

Temperature °C

Helsinki

–2

Barcelona

13

Moscow

–8

Kiev

–3

Copenhagen

3

a) Which city has the lowest temperature? b) How much colder is it in Kiev than in Barcelona?

°C

c) What is the difference in temperature between Helsinki and Moscow? °C d) One year, the temperature in Copenhagen was 5 °C lower than the average. What was the temperature that year?

°C

2. Use the symbols > or < to connect these pairs of numbers. a) –5

2

b) –1

–7

c) 0

–1

3. Answer these questions. a) What is 6 less than 4? b) What is 8 less than 5? c) What is 5 less than –3? d) What is 5 more than –2? e) What is 4 more than –6?

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Quick test

Number – number and place value

Unit 3: Use negative numbers in context, and calculate intervals across 0 1. The temperature drops from 11°C to –4°C. By how many degrees has the temperature dropped? °C

2. How much colder is –15°C than –5°C? °C

3. Order these numbers, from smallest to largest. 9

–4

0

–3

1

–10

4. What number do you get when you count back 7 from 5?

5. One cold day, the temperature in Toronto was –3°C. It was 5 ° colder in St Petersburg. What was the temperature in St Petersburg? °C

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