Year 4 in England
3rd grade number sense
13 3rd grade number sense skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Round to the nearest 10 or 100
CCSS 3.NBT.A.1England: Y3 Number and place valueEngland: Y4 Number and place value
Example
Which number rounds to 30 when rounded to the nearest 10?
- 26 is nearest to 30.
- 26
Answer: 26
Value of a digit in four-digit numbers
CCSS 4.NBT.A.2England: Y4 Number and place value
Example
In 8216, which place is the digit 6 in?
- There are 0 digits to its right.
- The 6 is in the ones place.
Answer: ones
Write four-digit numbers in expanded form
CCSS 4.NBT.A.2England: Y4 Number and place value
Example
Write 6418 in expanded form. What goes in the gap? 6000 + __ + 10 + 8
- 6418 = 6000 + 400 + 10 + 8
- 400
Answer: 400
Builds on: Value of a digit in four-digit numbers
Leads to: Expanded form of numbers up to 1 000 000
Read and write four-digit numbers in words
CCSS 4.NBT.A.2England: Y4 Number and place value
Example
Write in digits: three thousand eighty-six
- 3086
Answer: 3086
Builds on: Value of a digit in four-digit numbers
Compare four-digit numbers
CCSS 4.NBT.A.2England: Y4 Number and place value
Example
Choose the sign: 2344 __ 2344
- 2344 = 2344
Answer: =
Builds on: Compare three-digit numbers, Value of a digit in four-digit numbers
Leads to: Order four-digit numbers
Order four-digit numbers
CCSS 4.NBT.A.2England: Y4 Number and place value
Builds on: Compare four-digit numbers
Find 10, 100 or 1000 more or less
CCSS 3.NBT.A.2England: Y4 Number and place value
Example
What is 100 more than 7884?
- 7884 + 100 = 7984
Answer: 7984
Builds on: Value of a digit in four-digit numbers
Round four-digit numbers to the nearest 10, 100 or 1000
CCSS 3.NBT.A.1CCSS 4.NBT.A.3England: Y4 Number and place value
Example
Round 4985 to the nearest thousand.
- 4985 is between 4000 and 5000. The hundreds digit is 9.
- 5000
Answer: 5000
Rounding puzzles: which numbers round to …?
CCSS 3.NBT.A.1England: Y3 Number and place valueEngland: Y4 Number and place value
Example
What is the smallest whole number that rounds to 410 when rounded to the nearest 10?
- 405 is halfway and rounds up to 410.
- 405
Answer: 405
Builds on: Round to the nearest 10 or 100
Count in multiples of 6, 7, 9, 25 and 1000
CCSS 3.OA.D.9England: Y4 Number and place value
Example
Count backwards in 25s: 250, 225, 200, 175, __. What comes next?
- 175 − 25 = 150
Answer: 150
Builds on: Skip count by 2s, 5s, 10s and 100s
Count back through zero to negative numbers
England: Y4 Number and place value
Builds on: Skip count by 2s, 5s, 10s and 100s
Leads to: Negative numbers in context
Roman numerals I to C
England: Y3 Number and place valueEngland: Y4 Number and place value
Example
What number is XXXIX?
- XXX = 30
- IX = 9
- 39
Answer: 39
Builds on: Hundreds, tens and ones
Leads to: Roman numerals to M and years
Odd and even: rules for sums and products
CCSS 3.OA.D.9England: Y4 Number and place value
Example
Without working it out, is 44 × 76 odd or even?
- 44 is even and 76 is even.
- even
Answer: even
Builds on: Odd and even numbers
Keep exploring
3rd grade topic pages
More for 3rd grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.
