What should be secure before middle school?

Times tables and their divisions without hesitation, the four written methods, fractions and decimals as the same numbers written two ways, and place value from thousandths to millions.

Why does the set's division always come out exactly?

Because the set drills the facts and the method, not remainders. The division page covers remainders, and the grade 4 and 5 work turns them into fractions and decimals.

Ages 10-11

Grade 5 math

Grade 5 finishes elementary arithmetic. Decimals and fractions are added, subtracted, multiplied and divided, and the written methods reach their final form.

What grade 5 usually covers

An ordinary elementary scope and sequence, the one the sets here follow. Schools differ by a few months either way.

Decimals

Place value to thousandths, comparing and rounding decimals, adding and subtracting with the points lined up, and multiplying and dividing by 10, 100 and 1,000 by moving the digits.

Fractions with different denominators

Adding and subtracting by finding a common denominator, multiplying a fraction by a fraction, and dividing a whole number by a unit fraction and the other way round.

Multiplication and division

The standard long multiplication method for any whole numbers, and division of a four-digit number by a two-digit number, with the remainder as a fraction or decimal.

Order of operations and expressions

Brackets first, then multiplying and dividing, then adding and subtracting. Reading and writing simple expressions, and patterns plotted on a coordinate grid.

Volume, measuring and data

Volume by counting cubes and by length × width × height, converting within a measurement system, and line plots with fractions.

Practice for grade 5

The set below is on the grade 5 band: larger numbers, and division that always comes out exactly. The decimals page is the one to read first this year.

Work it out.

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Ten questions at a time, marked as you go. Pick a skill above and start; nothing to sign up for, and the set works offline once the page has loaded.

Pages for this grade

Each has the method written out, worked examples, the facts worth knowing and ten practice questions with answers.

Grades 4–5Decimals4.75 + 2.6Tenths and hundredths, comparing, and lining up the point. Grades 3–5Fractions3/4 + 1/8Equivalent fractions, adding, comparing, and parts of amounts. Grades 3–5Division852 ÷ 4Sharing and grouping, short division and remainders. Grades 2–4Multiplication34 × 6Equal groups, arrays, and written multiplication.

Common questions

What should be secure before middle school?: Times tables and their divisions without hesitation, the four written methods, fractions and decimals as the same numbers written two ways, and place value from thousandths to millions.
Why does the set's division always come out exactly?: Because the set drills the facts and the method, not remainders. The division page covers remainders, and the grade 4 and 5 work turns them into fractions and decimals.

Other grades

Ages 5-6Kindergartencounting, numbers to 20, adding and taking away within 10. Ages 6-7Grade 1addition and subtraction within 20, tens and ones, comparing. Ages 7-8Grade 2facts to 20 by heart, hundreds, tens and ones, column addition and subtraction. Ages 8-9Grade 3multiplication and division facts, written adding and subtracting to 1,000, fractions as numbers. Ages 9-10Grade 4place value to a million, multi-digit multiplication, division with remainders.