Number Representation & Place Value

52 Skills in Mathematics. 52 are ready to try — three verified questions each, no account needed.

Ready to try

Ages 5–6
Number Words to Twenty
Read and write number words from one to twenty
10 verified questions on this shelf
Ages 5–6
Reading and writing numbers to 100
Read and write numerals from 0 to 100
16 verified questions on this shelf
Ages 5–6
Reading and writing numbers to 20
Read and write numerals from 0 to 20
72 verified questions on this shelf
Ages 5–7
The teen numbers
Understand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value)
32 verified questions on this shelf
Ages 6–7
10 More or 10 Less
Mentally find 10 more or 10 less than a given two-digit number without counting
11 verified questions on this shelf
Ages 6–7
A Ten Is Ten Ones
Understand that 10 can be thought of as a bundle of ten ones — called a 'ten'
10 verified questions on this shelf
Ages 6–7
Comparing and ordering numbers
Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
10 verified questions on this shelf
Ages 6–7
Number Words to 100
Read and write numbers to at least 100 in words
13 verified questions on this shelf
Ages 6–7
Place value understanding and number facts
Use place value understanding and number facts to solve problems
13 verified questions on this shelf
Ages 6–7
Reading and writing numbers to 120
Count to 120 starting at any number less than 120; read and write numerals to 120
9 verified questions on this shelf
Ages 6–8
Representing Numbers
Identify, represent, and estimate numbers using different representations including the number line
10 verified questions on this shelf
Ages 6–7
The multiples of 10
Understand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones
9 verified questions on this shelf
Ages 6–7
The two digits of a two-digit number
Understand that the two digits of a two-digit number represent amounts of tens and ones
10 verified questions on this shelf
Ages 7–8
10 or 100 More or Less
Find 10 or 100 more or less than a given number up to 1000
11 verified questions on this shelf
Ages 7–8
A Hundred Is Ten Tens
Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'
11 verified questions on this shelf
Ages 7–8
Odd or Even
Determine whether a group of objects (up to 20) has an odd or even number of members
11 verified questions on this shelf
Ages 7–8
Ordering Numbers to 1000
Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
11 verified questions on this shelf
Ages 7–8
Place Value to 1000
Solve number problems and practical problems involving place value of numbers up to 1000
10 verified questions on this shelf
Ages 7–8
Reading and writing numbers to 1000
Read and write numbers to 1000 in numerals, number names, and expanded form
19 verified questions on this shelf
Ages 7–8
The multiples of 100
Understand that the multiples of 100 (100–900) each represent a number of hundreds with 0 tens and 0 ones
10 verified questions on this shelf
Ages 7–8
The three digits of a three-digit number
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
51 verified questions on this shelf
Ages 8–9
1000 More or Less
Find 1000 more or less than a given number
10 verified questions on this shelf
Ages 8–9
Comparing Large Numbers
Order and compare numbers beyond 1000
20 verified questions on this shelf
Ages 8–9
Negative Numbers
Count backwards through zero to include negative numbers
10 verified questions on this shelf
Ages 8–9
Numbers to 10,000
Identify, represent, and estimate numbers up to 10,000 using different representations
10 verified questions on this shelf
Ages 8–9
Place value of each digit
Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
10 verified questions on this shelf
Ages 8–9
Place Value Problem-Solving
Solve number and practical problems involving place value with increasingly large positive numbers
13 verified questions on this shelf
Ages 8–9
Roman numerals to 100
Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value
10 verified questions on this shelf
Ages 8–9
Rounding to 10, 100, 1000
Round any number to the nearest 10, 100, or 1000
16 verified questions on this shelf
Ages 9–10
Counting forwards and backwards (age 9+)
Count forwards and backwards in steps of powers of 10 (10, 100, 1000, 10,000, 100,000) for any given number up to 1,000,000
9 verified questions on this shelf
Ages 9–10
Negative numbers in context
Interpret negative numbers in context (temperature, sea level, bank balance); count forwards and backwards with positive and negative whole numbers, including through zero
12 verified questions on this shelf
Ages 9–10
Place Value × 10 Pattern
Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)
10 verified questions on this shelf
Ages 9–10
Reading and writing numbers (age 9+)
Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding
10 verified questions on this shelf
Ages 9–10
Roman numerals to 1000
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
10 verified questions on this shelf
Ages 9–10
Rounding Large Numbers
Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding
12 verified questions on this shelf
Ages 9–10
Working with Large Numbers
Solve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000
9 verified questions on this shelf
Ages 10–11
Decimal place value
Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy
12 verified questions on this shelf
Ages 10–11
Measuring temperature
Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero
10 verified questions on this shelf
Ages 10–11
Numbers to Ten Million
Solve number and practical problems involving reading, writing, ordering, comparing, rounding, and negative numbers up to 10,000,000
10 verified questions on this shelf
Ages 10–11
Patterns with Powers of Ten
Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents to denote powers of 10 (e.g. 10³ = 1000)
11 verified questions on this shelf
Ages 10–11
Place Value × 10 and ÷ 10
Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left
10 verified questions on this shelf
Ages 10–11
Reading and writing numbers (age 10+)
Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning
10 verified questions on this shelf
Ages 10–11
Reading and writing numbers to 10,000,000
Read, write, order, and compare numbers up to 10,000,000 and determine the value of each digit
10 verified questions on this shelf
Ages 10–11
Reading Decimal Places
Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)
10 verified questions on this shelf
Ages 11–13
Decimal place value (age 11+)
Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures
10 verified questions on this shelf
Ages 11–12
Fractions on a number line
Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line
12 verified questions on this shelf
Ages 11–12
Fractions on a number line (age 11+)
Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations
10 verified questions on this shelf
Ages 11–12
Numbers on a number line
Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements
12 verified questions on this shelf
Ages 11–14
Square and cube numbers
Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations
104 verified questions on this shelf
Ages 12–14
Estimating by rounding
Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values
10 verified questions on this shelf
Ages 12–14
Powers of Ten Notation
Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form
11 verified questions on this shelf
Ages 13–14
Number Sets & Infinity
Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
19 verified questions on this shelf

Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.