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1 Homework Sheet : Multiplying And Dividing By 0, 00, 000 Work out Complete by writing the missing number How many centimetres make: How many metres make: m km m? km?
2 Homework Sheet 2: Rounding To round to the nearest 0 look at the units column. To round to the nearest 00 look at the tens column. To round to the nearest 000 look at the hundreds column. If the number is less than 5, round up. If the number is 5 or greater than 5, round up. Round these numbers to the nearest: Approximate by rounding to the nearest whole one is about is about is about is about is about is about is about is about 000
3 Homework Sheet 3: Number Sequences To find the rule that links the numbers study the gaps. Examples The rule is add The rule is subtract 0. Fill in the numbers in each sequence. Rule Start at Complete the sequences by filling in the boxes
4 Homework Sheet 4: Negative Numbers We often use negative numbers in the context of temperature Negative numbers Below zero Have a minus sign Positive numbers Above zero 40 A B C 0 D E 40 Write the temperature shown by each letter A B C D E What is the difference in temperature between: 6 A and D B and D C and D A and C C and E B and E? What would the temperature be if it was: 2 at B and rose at A and rose at D and rose at E and rose at C and rose at C and rose 40? Complete the tables showing changes in temperature. 8 OLD CHANGE NEW OLD CHANGE NEW
5 Homework Sheet 5: Multiples Complete the first 8 multiples of the number in the first box. 2 Multiples are the numbers in a multiplication table. 7, 4, 2 77, 84, 9 40, 47, 54 are multiples of Write Yes or No. 6 Is 64 a multiple of 8? Is 300 a multiple of 40? Is 22 a multiple of? Is 08 a multiple of 9? Is 05 a multiple of 2? Is 78 a multiple of 3? Is 87 a multiple of 7? Is 84 a multiple of 7? Is 53 a multiple of 7? Is 40 a multiple of 20? Is 96 a multiple of 6? Is 200 a multiple of 8? Is 86 a multiple of 40? Is 75 a multiple of 5? Draw a circle around the numbers which are not multiples of: Write two numbers that are multiples of both: 24 5 and and and and
6 Homework Sheet 6: Divisibility Tests Whole numbers are divisible by: 00 if the last two digits are 00 0 if the last digit is 0 2 if the number is even 5 if the last digit is 0 or 5 3 if the sum of the digits is divisible by 3 4 if the last 2 digits are divisible by 4 6 if the number is even and divisible by 3 8 if the last 3 digits are divisible by 8 9 if the sum of the digits is divisible by 9 25 if the last 2 digits are 00, 25, 50 or 75. Write T (True) or F (False) in each box. 395 is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by is divisible by 8. 3 Complete the table using ticks and crosses to show divisibility. DIVISIBLE BY NUMBER
7 Homework Sheet 7: Prime Numbers THE SEIVE OF ERASTOSTHENES Erastosthenes was a famous mathematician in Ancient Greece. He discovered a way of finding prime numbers known as the Seive of Erastosthenes. A prime number is a number which is divisible only by itself and one. Note that is not a prime number. Use five different coloured pens or pencils. Follow the directions to find the prime numbers to 00. Cross out with a pencil. 2 Draw a circle around 2, 3, 5 and 7 with the same pencil. 3 Use a different colour. Cross out all the multiples of 2, leaving 2 itself. 4 Use a third colour. Cross out all the multiples of 3, except for 3. 5 Use a fourth colour. Cross out all the multiples of 5, except for 5. 6 Use a fifth colour. Cross out all the multiples of 7, except for Use your first colour again. Draw circles around all the numbers that are left. These are the prime numbers to How many prime numbers have you found? Write out the prime numbers
8 Homework Sheet 8: Equivalent Fractions Complete these equivalent fractions.??? ? 8?? 9 3 0? ? 5?? 2 4 5??? ? 4?? 0 2?? 9 2? ??? 3 7 0??? ? 3????? ? 8?? 4??? ??? 2 2??? ??? Cancel each fraction into its simplest form Pick out the letters above the fractions equivalent to the fraction in the bracket. Rearrange these letters to make a word using the clue. 32 2, a girl s name L A C M I N T D A Y E B , a boy s name P Y R O N G H A R N L E
9 Homework Sheet 9: Improper Fractions Examples Change 7 to a mixed number. 6 Divide numerator by denominator rem. 5 Put remainder over denominator Complete these equivalent fractions Change 5 to an improper fraction. 8 Multiply whole number by denominator Add the numerator Put the sum over denominator Change to improper fractions ????? 7 4???? ????????? ????????? 8 4 5????? ????? 5????? 6???? ???? 30 5????????? ??? 00 0?? ????? 8 3???? ????? 7????????? 3 6 8???? ????? ??? 5 0?????? ????? 7???? ?????????
10 Homework Sheet 0: Decimal Fractions Write the number shown on each abacus as a mixed number and as a decimal fraction. 8 Examples U U U U Write the decimal fraction shown by each arrow in the box Write each number as a decimal fraction Write the value of the underlined figure
11 Homework Sheet : Ordering Decimals Draw a circle around the larger of each pair of numbers Locate the numbers on the line Arrange the decimals in ascending order Complete by writing (greater than), (less than) or in the box
12 Homework Sheet 2: Fractions of Quantities Work out 9 0 of of of kg of 80 g g g 3 3 of of kg g 4 37 of m cm 00 0 of litre ml 5 5 of 80 m m of litre ml 6 Examples of of 350 (350 7) What fraction of litre is 50 ml? Answer , because litre 000 ml. of m mm 2 of litre ml Give each answer as a fraction in its simplest form. What fraction of: 3 is 3p?????????? 6 litre is 50 ml?????????? 9 m is 40 cm?????????? 4 is 45p?????????? 7 litre is 630 ml?????????? 20 m is 7 cm?????????? 5 is 72p?????????? 8 litre is 83 ml?????????? 2 m is 35 cm?????????? 22 A roll of cloth is 5 metres long. Three quarters of the cloth is used. How much is left? m cm 23 There are 360 children in a primary school. Four ninths of the children are in the lower school. How many children are there in the upper school?
13 Homework Sheet 3: Percentages You need to know that: % % % % % % % Shade the following percentages % 2.5% 36% 59% % 90% 70% 85% 9 Complete the table. Fractions Decimals Percentages 50% 7% 90% 0 What percentage of the boxes contain: a) ticks % b) crosses % c) circles %
14 Homework Sheet 4: Percentages of Numbers 7 Examples 70% of of % of 60 3 of of p of of p 3 of of p 4 Find 30% of: Find % of: Find 75% of: p p Work out: 3 0% of % of % of % of % of % of % of % of % of % of % of % of There are 240 patients in a hospital. 20% of the patients are children. How many are adults? 26 Sourav s meal cost Ainlee s meal cost 30% more. How much did Ainlee s meal cost?
15 Homework Sheet 5: Ratio and Proportion For each of the above patterns give: a) the ratio of shaded squares to unshaded squares. b) the proportion of shades squares as a fraction of the total number of squares. a) shaded square to every unshaded b)??? 2 a) shaded square to every unshaded b)??? 3 a) shaded square to every unshaded b)??? 4 a) shaded square to every unshaded b)??? 5 a) shaded square to every unshaded b)??? 6 a) shaded square to every unshaded b)??? 7 A farmer has 2 cows to every 5 sheep. There are 64 cows on the farm. How many sheep are there? 8 There are 45 children in Year 6. Three in every five are boys. How many girls are there? 9 For every 2 packets of plain crisps sold, 7 flavoured packets are sold. Altogether 63 packets are sold. How many of these were plain? 0 In November, 3 in every 7 children in a class were absent at least once. There are 28 children in the class. How many of the children did not miss a day?
16 Homework Sheet 6: Informal Methods For Addition Examples Add largest Compensation 5579 ( ) value digits ( ) first Add largest value digits first Use the compensation method
17 Homework Sheet 7: Standard Method For Addition Examples Remember to add the carried figure. Work out
18 Homework Sheet 8: Informal Method For Subtraction Examples Counting up 54 (to make 800) Compensation ( ) 200 (to make 2000) 254 ( ) 363 (to make 563) Use counting up Use compensation
19 Homework Sheet 9: Standard Method For Subtraction Examples Work out
20 Homework Sheet 20: Understanding Multiplication Complete each table Write the missing number in the box Complete each multiplication square
21 Complete by writing the missing number in the box Complete the multiplication square. Homework Sheet 2: Multiplication Facts Revision
22 Complete by writing the missing number in the box Complete the multiplication square Y6 Homework Sheet 22: Multiplication Facts Revision 2
23 Homework Sheet 23: Multiplying/Dividing By 0 or 00 Work out Examples Complete by writing the missing numbers Complete each table
24 Homework Sheet 24: Doubling and Halving Examples Double 0 59 (0 5 2) (0 09 2) Half of 5 3 (5 2) (0 3 2) Work out Work out the 6 times-table by doubling the 8 times-table. Use halving to complete the second and third problems. 26 of of of 2 6 of of of 2 EIGHTS SIXTEENS 2 of of 390 of 2 2
25 Homework Sheet 25: Informal Method For Multiplication Work out Example
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