 Multiplication and Division
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#### Level contents

* Assessment for the whole of Level 6
** Assessment test answers
*** Assessment test records
6:01 Division
Sharing a collection and making groups, using multiplication facts, fractions, different ways of writing division.
6:02 Division
Division algorithms to three digits, including decimal points and remainders. Division problems involving money.
6:03 Multiplication strategies
Mental strategies for multiplication by simple numbers using place value, known facts, moving the decimal point, halving and doubling.
6:03E Multiplication strategies
Mental strategies for multiplication including using place value, using known facts, basic algorithms, and halving. Finding a rule for multiplying by 50.
6:04 Multiplying by multiples of 10
Mental strategies for multiplication by multiples of ten, up to four digits. Word problem using a multiplication strategy.
6:05 Multiplying by multiples of 10
Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three digits numbers.
6:05C Multiplying by multiples of 10
Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three-digit numbers. Word problems using multiplication strategies.
6:06 Multiplication algorithm
Multiplication algorithms up to three digits including decimal points, with trading boxes. Using estimates to assist with algorithms. Word problems with multiplication.
6:06C Multiplication
Multiplication algorithms up to three digits, including decimal points. Mental strategies for multiplying by multiples of ten. Relating algorithms to real life problems.
6:07 Remainders as fractions
Understanding remainders, solving division algorithms and writing remainders as fractions, using division to change improper fractions to mixed numbers.
6:08 Division strategies
Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving.
6:09 Dividing 3-digit numbers
Mental strategies and algorithms for dividing three-digit numbers, including decimal points. Writing remainders as fractions. Word problem.
6:09C Division
Division algorithms with and without remainders, writing the remainder as a fraction, changing improper fractions to mixed numbers.
6:09PT Progress test
Test of Multiplication and division
6:10 Multiplying 4-digit numbers
Using expanded notation to multiply four-digit numbers. Algorithms with 4-digit numbers including decimal points and money units. Using estimation to check reasonableness of answers to algorithms. Trading.
6:10C Multiplying 4-digit numbers
Multiplication algorithms to four digits, including decimal points and money units. Word problems.
6:11 Multiplication
Hindu Lattice Multiplication, multiplication grids. Word problems. Multiplication webs.
6:12 Hindu Lattice multiplication
Hindu Lattice Multiplication of three and four digit numbers by a single digit and two digit numbers by two digit numbers. With and without trading. Creating your own lattices and number sentences.
6:13 Divisibility
Rules for divisibility of numbers to aid in finding the factors of numbers. Factors to 10.
6:14 Prime and composite numbers
Recognising prime and composite numbers. Finding factors of numbers and labelling as prime or composite. Prime numbers to 100 using a grid.
6:14E Prime and composite numbers
Consolidating rules for prime and composite numbers. Finding specific prime and composite numbers and factors of numbers.
6:15 Multiplication
Prime and composite numbers, factors and products and multiples, square numbers, number patterns using times tables.
6:15E Square and triangular numbers
Writing square numbers, diagram and patterns for square numbers, completing number sentences with square numbers, finding factors of square numbers, making triangular patterns and combining to form square numbers.
6:15PT Progress test
Test of Multiplication and division
6:16 Remainders as fractions
Writing remainders as fractions in division algorithms. Word problems.
6:17 Remainders as decimals
Writing remainders as decimals in division algorithms up to three digits, including money units. Adding zeros. Point over point. Using a calculator to write answers correct to two decimal points.
6:17CA Writing remainders as fractions and d...
Writing remainders as fractions or decimals in division algorithms up to four digits, including money units. Word problems.
6:17CB Division: zero in the answer
Division algorithms to three digits with zero in the answer, including decimal points and money units. Word problems with zero in the answer. Rounding up to answer a word problem. Algorithms with remainders as fractions.
6:17E Dividing 4-digit numbers
Dividing 4-digit numbers involving decimals and decimal currency.
6:18 Dividing by multiples of 10
Mental and written division strategies for dividing numbers up to six digits by multiples of ten. Moving decimal points, crossing off zeros.
6:18C Multiplying and dividing by multiples...
Algorithms and number sentences to practise mental and written strategies for multiplying and dividing by multiples of ten.
6:19 Order of operations
Following order of operations to answer number sentences. Working backwards in number sentences to find a number. Word number sentences.
6:20 Multiplying by multiples of 10
Practice exercises for mental and written multiplication strategies for multiplying by multiples of ten.
6:21 Extended multiplication
Mental and written strategies for multiplication of a pair of two-digit numbers. Practice algorithms.
6:22 Extended multiplication
Further practice algorithms for multiplying by two-digit numbers, with written strategies involving trading provided. Correcting errors in completed algorithms.
6:22C Multiplying by 2-digit numbers
Practice algorithms for multiplying by two-digit numbers, including numbers with decimal points. Two-digit square numbers.
6:23 Multiplying by 2-digit numbers
Further practice algorithms for multiplying by two-digit numbers. Word problems. Hindu Lattice multiplication.
6:24 Averages
Word problems involving finding averages by adding all scores and dividing by the number of scores.
6:24C Dividing 4-digit numbers
Division algorithms up to four digits including numbers with decimal points, with remainders as fractions, whole numbers and decimals. Word problems.
6:24PT Progress test
Test of Multiplication and division
6:25 Extended multiplication
Written strategies for multiplying three-digit numbers by two-digit numbers, using trading. Practice algorithms. Example of word problem.
6:26 Extended multiplication
Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Decimal points. Word problems.
6:27 Extended multiplication
Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Word problems, decimal points and money units. Rounding.
6:28 Multiplication and division
Multiplying by multiples of ten, division webs, quotient, divisor, dividend, checking division answers, multiplication grid.
6:29 Multiplication strategies
Multiplication strategies for multiplying by two-digit numbers, including compensation strategy, halving and quartering, rounding. Multiplying money units.
6:30 Division of large numbers
Division of numbers to eight digits by multiples of ten and single digit numbers. Divisibility rules. Word problems.
6:30C Multiplication and division strategie...
Multiplying and dividing strings of numbers by grouping and multiplying or dividing compatible numbers first. Breaking three-digit numbers into parts that can be divided and then adding totals.
6:31 Measurement problems
Multiplication and division word problems involving measurement including time, mass, volume and capacity and length.
6:31PT Progress test
Test of Multiplication and division
6:AC New Maths Builder Texts
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6:ACC Year 6 Cover
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6:NA00C Contents: Year 6 Maths Builder text
Contents
The answers to the Year 6 Maths Builder text 6:NA01-6:NA54C
The answers to the Year 6 Maths Builder text 6:NA55-6:NA93
6:NA03 Division
Sharing a collection and making groups, using multiplication facts, fractions, different ways of writing division.
6:NA04 Division
Division algorithms to three digits, including decimal points and remainders. Division problems involving money.
6:NA05 Remainders as fractions
Understanding remainders, solving division algorithms and writing remainders as fractions, using division to change improper fractions to mixed numbers.
6:NA06 Remainders as fractions
Division exercises involving writing remainders as fractions, using the rule of the remainder being placed over the divisor. Includes word problems.
6:NA07 Division strategies
Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving.
6:NA07C Using factors in division
The mental strategy involving division by the factors of the divisor.
6:NA08 Divisibility
Rules for divisibility of numbers to aid in finding the factors of numbers. Factors to 10.
6:NA19 Mixed operations
Use the rule to complete the mixed operations problems - brackets, multiplication/division, then addition/subtraction.
6:NA20 Order of operations
Use the rule to complete the mixed operations problems - brackets, multiplication/division, then addition/subtraction.
6:NA21 Using grouping symbols
Use grouping symbols to write a number sentence
6:NA21C Mixed operations
Extension page. Mixed operations, use rules. Use operations symbols to complete the number sentences.
6:NA37 Multiplication algorithm
Multiplication algorithms up to three digits including decimal points, with trading boxes. Using estimates to assist with algorithms. Word problems with multiplication.
6:NA37C Multiplication
Multiplication algorithms up to three digits, including decimal points. Mental strategies for multiplying by multiples of ten. Relating algorithms to real life problems.
6:NA40 Multiplying 4-digit numbers
Using expanded notation to multiply four-digit numbers. Algorithms with 4-digit numbers including decimal points and money units. Using estimation to check reasonableness of answers to algorithms. Trading.
6:NA40C Multiplication
Hindu Lattice Multiplication, multiplication grids. Word problems. Multiplication webs.
6:NA40S Multiplying 4-digit numbers
Multiplication algorithms to four digits, including decimal points and money units. Word problems.
6:NA43 Multiplication strategies
Mental strategies for multiplication by simple numbers using place value, known facts, moving the decimal point, halving and doubling.
6:NA43C Multiplication strategies
Mental strategies for multiplication including using place value, using known facts, basic algorithms, and halving. Finding a rule for multiplying by 50.
6:NA44 Multiplying by multiples of 10
Mental strategies for multiplication by multiples of ten, up to four digits. Word problem using a multiplication strategy.
6:NA44C Multiplying by multiples of 10
Practice exercises for mental and written multiplication strategies for multiplying by multiples of ten.
6:NA44S Multiplying by multiples of 10
Mental and written strategies for multiplying by multiples of ten, with more complex numbers including decimal points and three-digit numbers. Word problems using multiplication strategies.
6:NA45 Extended multiplication
Further practice algorithms for multiplying by two-digit numbers, with written strategies involving trading provided. Correcting errors in completed algorithms.
6:NA45C Multiplying by 2-digit numbers
Further practice algorithms for multiplying by two-digit numbers. Word problems. Hindu Lattice multiplication.
6:NA45S Extended multiplication
Mental and written strategies for multiplication of a pair of two-digit numbers. Practice algorithms.
6:NA46 Extended multiplication
Written strategies for multiplying three-digit numbers by two-digit numbers, using trading. Practice algorithms. Example of word problem.
6:NA47 Extended multiplication
Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Decimal points. Word problems.
6:NA47C Extended multiplication
Practice algorithms for multiplying three-digit numbers by two-digit numbers, using trading. Word problems, decimal points and money units. Rounding.
6:NA49 A decimal times a 2-digit number
Multiplying a decimal by a 2-digit number
6:NA49C Extended multiplication with decimals
Multiplying a decimal by a 2-digit number
6:NA67 Remainders as decimals
Division exercises involving writing the remainder as a decimal, using the rule of placing a decimal point after the dividend and continuing to divide. Includes writing answers correct to two decimal places and division with money units.
6:NA67C Remainders as fractions and decimals
Writing remainders as fractions or decimals in division algorithms up to four digits, including money units. Word problems.
6:NA67S Dividing 3-digit numbers
Mental strategies and algorithms for dividing three-digit numbers, including decimal points. Writing remainders as fractions. Word problem.
6:NA69 Dividing by multiples of 10
Mental and written division strategies for dividing numbers up to six digits by multiples of ten. Moving decimal points, crossing off zeros.
6:NA70 Dividing 4-digit numbers
Dividing 4-digit numbers involving decimals and decimal currency.
6:NA70C Dividing 4-digit numbers
Division algorithms up to four digits including numbers with decimal points, with remainders as fractions, whole numbers and decimals. Word problems.
6:NA71 Speed
Road speed signs - km/h. If you travelled for 1 hour at the speed shown, how many kilometres would you cover? Write your speed in each case. Complete the table to show the distance travelled. Estimate the number of kilometres that would be travelled in one hour by given animals and write in km/h. State speed in km/h if I travel the distances and number of hours given.
6:NA71C Speed
Find the kilometres traveled in one hour, half an hour. Match the animals to the speeds by which they can move. How long would the given journeys take at the given speeds. Find the driver's average speed.
6:NA71S Speed and distance
Record how fast a driver can go in different zones. Complete the table to show how far the driver could travel in the given time, if traveling at 60km/h. How long would it take to travel the distances given? Find distances achieved by a jet plane at the given speed.
6:NA72 Averages
Word problems involving finding averages by adding all scores and dividing by the number of scores.
6:NA90 Multiplication strategies
Multiplication strategies for multiplying by two-digit numbers, including compensation strategy, halving and quartering, rounding. Multiplying money units.
6:NA91 Multiplication and division
Multiplying by multiples of ten, division webs, quotient, divisor, dividend, checking division answers, multiplication grid.
6:NA92 Division of large numbers
Division of numbers to eight digits by multiples of ten and single digit numbers. Divisibility rules. Word problems.
6:NA93 Using factors in division
Mental strategies for division including using known facts to complete division, estimating using times tables, estimating using rounding to tens or hundreds, halving. Factors of the composite number.