Multiplication & Division

57 Skills in Mathematics. 57 are ready to try — three verified questions each, no account needed.

Ready to try

Ages 4–6
Division as equal sharing
Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
10 verified questions on this shelf
Ages 5–6
Arrays for multiplication
Use arrays to represent multiplication and division situations
24 verified questions on this shelf
Ages 5–6
Multiplication as repeated addition
Understand multiplication as repeated addition and grouping equal sets
9 verified questions on this shelf
Ages 6–7
Commutative Multiplication
Understand and apply the commutative property of multiplication and recognise that division is not commutative
10 verified questions on this shelf
Ages 6–7
Multiplication as repeated addition (age 6+)
Solve problems involving multiplication and division using arrays, repeated addition, mental methods, and known facts
10 verified questions on this shelf
Ages 6–7
Odd and even numbers
Recognise odd and even numbers
12 verified questions on this shelf
Ages 6–7
Reading ×, ÷, and = Symbols
Read, write, and interpret the symbols ×, ÷, and = in multiplication and division number sentences
16 verified questions on this shelf
Ages 6–7
Times tables
Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables
16 verified questions on this shelf
Ages 7–8
Arrays for multiplication (age 7+)
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends
35 verified questions on this shelf
Ages 7–8
Multi-Step Multiply & Divide
Solve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects
10 verified questions on this shelf
Ages 7–8
Rows & Columns in Rectangles
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them
33 verified questions on this shelf
Ages 7–8
Times tables (age 7+)
Recall and use multiplication and division facts for the 3, 4, and 8 multiplication tables
20 verified questions on this shelf
Ages 7–8
Written Multiplication & Division
Write and calculate mathematical statements for multiplication and division using known tables, including two-digit × one-digit, using mental and progressing to formal written methods
28 verified questions on this shelf
Ages 8–9
All times tables to 12×12
Recall multiplication and division facts for multiplication tables up to 12 × 12
10 verified questions on this shelf
Ages 8–9
Division as Unknown Factor
Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)
10 verified questions on this shelf
Ages 8–9
Factor Pairs & Commutativity
Recognise and use factor pairs and commutativity in mental calculations
10 verified questions on this shelf
Ages 8–9
Fluent multiplication and division facts
Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division
21 verified questions on this shelf
Ages 8–9
Mental multiplication and division
Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers
10 verified questions on this shelf
Ages 8–9
Multiplication and Division Word Problems
Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
53 verified questions on this shelf
Ages 8–9
Multiply & Add Problems
Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems
10 verified questions on this shelf
Ages 8–9
Multiplying by Tens
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
11 verified questions on this shelf
Ages 8–9
Patterns in Times Tables
Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
11 verified questions on this shelf
Ages 8–9
Properties of Operations
Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
45 verified questions on this shelf
Ages 8–9
Unknown in Multiplication & Division
Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)
10 verified questions on this shelf
Ages 8–9
What Division Means
Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
49 verified questions on this shelf
Ages 8–9
What Multiplication Means
Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
60 verified questions on this shelf
Ages 8–9
Written Multiplication
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
12 verified questions on this shelf
Ages 9–10
Arrays for multiplication (age 9+)
Divide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the context
10 verified questions on this shelf
Ages 9–10
Division with remainders
Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimation
11 verified questions on this shelf
Ages 9–11
Factors, multiples, and primes
Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems
10 verified questions on this shelf
Ages 9–10
Factors, multiples, and primes (age 9+)
Solve problems involving multiplication and division using knowledge of factors, multiples, squares, and cubes
12 verified questions on this shelf
Ages 9–10
Long multiplication
Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using formal written methods including long multiplication; illustrate with area models
10 verified questions on this shelf
Ages 9–10
Mental multiplication and division (age 9+)
Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
10 verified questions on this shelf
Ages 9–10
Multiplicative Comparison
Solve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number
12 verified questions on this shelf
Ages 9–10
Multiplicative Comparison
Interpret a multiplication equation as a comparison (e.g. 35 = 5 × 7 means 35 is 5 times as many as 7); represent verbal statements of multiplicative comparisons as equations
9 verified questions on this shelf
Ages 9–10
Multiplying and dividing
Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000
10 verified questions on this shelf
Ages 9–10
Prime numbers
Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19
11 verified questions on this shelf
Ages 9–10
Shape patterns
Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur
9 verified questions on this shelf
Ages 9–10
Square and cube numbers
Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
205 verified questions on this shelf
Ages 9–10
Understanding fractions
Solve problems involving scaling by simple fractions and problems involving simple rates
9 verified questions on this shelf
Ages 10–11
Brackets in Expressions
Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols
28 verified questions on this shelf
Ages 10–11
Decimal place value
Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)
10 verified questions on this shelf
Ages 10–11
Dividing by two-digit numbers
Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context
10 verified questions on this shelf
Ages 10–11
Division with Decimals
Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
10 verified questions on this shelf
Ages 10–11
Division with remainders (age 10+)
Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as appropriate
10 verified questions on this shelf
Ages 10–11
Estimation to check answers to calculations
Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
9 verified questions on this shelf
Ages 10–11
Long multiplication (age 10+)
Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication
11 verified questions on this shelf
Ages 10–11
Multi-step problems: choosing operations
Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts
10 verified questions on this shelf
Ages 10–11
Multiplying and dividing (age 10+)
Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart
10 verified questions on this shelf
Ages 10–11
Order of operations
Understand and apply the conventional order of operations (PEMDAS/BODMAS) to carry out calculations involving the four operations
46 verified questions on this shelf
Ages 10–11
Ratio (age 10+)
Perform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts
10 verified questions on this shelf
Ages 10–11
Rounding Answers
Solve problems which require answers to be rounded to specified degrees of accuracy
10 verified questions on this shelf
Ages 10–11
Writing Number Sentences
Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 × (18932 + 921) is three times as large as 18932 + 921)
12 verified questions on this shelf
Ages 11–12
Factors, multiples, and primes (age 11+)
Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple (LCM), and prime factorisation including product notation and the unique factorisat…
12 verified questions on this shelf
Ages 11–12
Ratio (age 11+)
Use conventional notation for the priority of operations including brackets, powers, roots, and reciprocals; apply BIDMAS/BODMAS consistently to evaluate complex numerical expressions
28 verified questions on this shelf
Ages 11–13
Sign Rules for Multiplication
Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient
10 verified questions on this shelf
Ages 11–12
Using inverse operations
Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations
10 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.