Homework Maths Year 5 Exercises

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Free Math Worksheets for Grade 5

This is a comprehensive collection of free printable math worksheets for grade 5, organized by topics such as addition, subtraction, algebraic thinking, place value, multiplication, division, prime factorization, decimals, fractions, measurement, coordinate grid, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any fifth grade math program, but have been specifically designed to match Math Mammoth grade 5 curriculum.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.


Algebra



Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.


Addition and subtraction in columns (numbers under each other)


Place Value and Rounding




Skip-counting

  • Skip-count by 20,000, starting at 550,000
  • Skip-count by 50,000, starting at 120,000
  • Skip-count by 100,000, starting at 1,350,000
  • Skip-count by 100,000, starting at 628,000
  • Skip-count by 300,000, starting at 4,250,000
  • Skip-count by 500,000, starting at 750,000

Rounding

  • Round to the nearest ten, within 0-10,000
  • Round to the nearest hundred, within 0-1,000,000
  • Round to the nearest thousand, within 0-1,000,000

  • Mixed rounding problems 1 - round to the nearest ten, hundred, or thousand
  • Mixed rounding problems 2 - round to the nearest ten, hundred, thousand, or ten thousand
  • Mixed rounding problems 3 - as above but rounding to the underlined digit
  • Mixed rounding problems 4 - round to the underlined digit, up to rounding to the nearest million

Multiplication

Mental Multiplication

  • Multiply up to 3-digit numbers by 10, 100, or 1000
  • Multiply up to 3-digit numbers by 10, 100, or 1000 - missing factor

  • Multiply by whole tens, whole hundreds, and whole thousands (such as 20 × 3000)
  • Multiply by whole tens, whole hundreds, and whole thousands - missing factor

  • Multiply a 1-digit number by a 2-digit number (using partial products mentally)
  • Multiply mentally in parts (such as 3 × 97 or 4 × 208, using distributive property)




Long multiplication (in columns)


Division

Mental division


Long division

  • 1-digit divisor, 4-digit dividend, no remainder
  • 1-digit divisor, 4-digit dividend, remainder

  • 2-digit divisor, 4-digit dividend, divisor between 11 and 35
  • 2-digit divisor, 4-digit dividend, no remainder — (the divisor is any two-digit number)
  • 2-digit divisor, 4-digit dividend, with remainder — (the divisor is any two-digit number)

  • Multiplication equations (missing factor; solve by long division)
  • Division equations (missing dividend or divisor; solve by long multiplication or long division)

The following four worksheet types are beyond the Common Core standards for fifth grade.




Factoring


Fraction addition & subtraction

Like fractions/fractional parts


Unlike fractions/fractional parts

  • Add or subtract unlike fractions - denominators 2, 3, 4, 5, 6, 8, and 10
  • Add or subtract unlike fractions - denominators 2-12
  • Challenge: add or subtract unlike fractions - denominators 2-25
  • Challenge: add or subtract 3 unlike fractions - denominators 2, 3, 4, 5, 6, 8, and 10

  • Add or subtract mixed numbers - denominators 2-12
  • Add or subtract mixed numbers - denominators 2-25

  • Add or subtract a mixed number and a fraction or a whole number - denominators 2-12
  • Add or subtract a mixed number and a fraction or a whole number - denominators 2-25

Fraction multiplication


Fraction division

The following worksheet types are beyond the Common Core standards.


Convert fractions to mixed numbers and vice versa


Equivalent Fractions and Simplify Fractions




Write Fractions as Decimals and Vice Versa

In the worksheets below, the answer key does not give the fractions in simplified form. For example, 0.24 is given as 24/100, not as 6/25. If you prefer, you may ask the student to simplify.



Decimal Addition

Mental math

0 to 1 decimal digits


0 to 2 decimal digits


Column-addition


Decimal Subtraction

Mental math

0 to 1 decimal digits


0 to 2 decimal digits


Challenges: mental math


Column-subtraction


Challenges: algebraic thinking


Decimal Multiplication

Mental math

  • Multiply a whole number and a decimal - easy (one decimal digit)
  • Multiply a whole number and a decimal - harder (one decimal digit)
  • Multiply a whole number and a decimal - missing factor (one decimal digit)

  • Multiply a whole number and a decimal (1-2 decimal digits)
  • Multiply a whole number and a decimal - missing factor (1-2 decimal digits)

  • Multiply a whole number and a decimal (1-3 decimal digits)
  • Multiply a whole number and a decimal - missing factor (1-3 decimal digits)

  • Multiply decimals by decimals
  • Multiply decimals by decimals - missing factor

  • Multiply decimals by decimals or whole numbers (mixed practice)
  • Multiply decimals by decimals or whole numbers - missing factor (mixed practice)

  • Multiply by 10 or 100 (1-2 decimal digits)
  • Multiply by 10, 100, or 1000 (1-2 decimal digits)
  • Multiply by 10, 100, or 1000 - missing factor (1-2 decimal digits)

  • Multiply by 10 or 100 (1-3 decimal digits)
  • Multiply by 10, 100, or 1000 (1-3 decimal digits)
  • Multiply by 10, 100, 1000, 10000, or 100000 (1-3 decimal digits)
  • Multiply decimals by 10, 100, or 1000 - missing factor (1-3 decimal digits)

Multiply in columns


Decimal Division

Mental math


Long division


Measuring units

Customary system

By Year 5, children should be confident with one- and two-step problems and using addition, subtraction, multiplication and division, and they will be able to decide on the best way of solving a problem. There is still a focus on times tables, as not all children are completely sure of these. Set squares and protractors are being used for work with angles and shapes, and percentages are introduced now. Children will be practising their mental maths, as well as using written and practical methods to help them calculate. It’s also important for the children to see how their maths work links to life outside school, and to other areas of the curriculum.

Year 5 maths – your child will be:

Number and place value

  • Reading, writing, ordering and comparing numbers to at least 1,000,000
  • Counting forwards and backwards with positive and negative numbers
  • Rounding any number up to one million to the nearest 10, 100, 1000, 10,000, 100,000

Calculating

Fractions, decimals and percentages

  • Comparing and ordering fractions whose denominators are all multiples of the same number
  • Converting from mixed numbers to improper fractions
  • Adding and subtracting fractions whose denominators are multiples of the same number
  • Mutiplying proper fractions and mixed numbers by whole numbers
  • Rounding decimals with two places to the nearest whole number and to one decimal place
  • Comparing numbers with up to three decimal places
  • Begining to understand percentages
  • Knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5 and 4/5

Measuring

Geometry

  • Drawing and measuring angles
  • Finding angles around a point, on a straight line and within a right angle

Statistics

  • Solving comparison, sum and difference problems using information presented in a line graph
  • Completing and interpreting information in tables, including timetables

Try this at home

  • If your child has a watch, encourage them to wear it and get in the habit of looking at the time – it could be analogue or digital
  • Card games are perfect for playing with numbers. If you’re struggling to remember the games you played as a child, try asking the grandparents!
  • Most children love cooking. Following a simple recipe will give them valuable practice in measuring and weighing the ingredients and calculating cooking time. If you want to make it trickier, ask them to double or halve the quantities

Put your child's learning into practice with our Year 5 maths worksheets, which cover all the topics taught as part of the curriculum, or try our Y5 mental maths mini-test.

Check your Y5 child's progress in maths with our free Y5 maths Progress checks, three mini-tests for the autumn, spring and summer terms.


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