Grade 5 math
60 topics, each with 8 worksheets and answer keys · 10 quizzes
Grade 5 quizzes
Mixed questions from several lessons, like a real test, one question at a time. Each quiz has 8 versions, from easier to harder.
2 lessons
8 lessons
14 lessons
14 lessons
4 lessons
8 lessons
2 lessons
2 lessons
3 lessons
Numbers & Counting 📝 Take the quiz
Multiplication & Division 📝 Take the quiz
Multiplying & Dividing Large Numbers (Mixed Review)
Multiply and divide multi-digit whole numbers.
Factors: LCM & GCF
Find the least common multiple and greatest common factor of two numbers.
Dividing by 2-Digit Divisors
Divide up to 4-digit numbers by 2-digit divisors with long division, including remainders and word problems.
Division Using Estimation
Divide by 2-digit divisors using estimates: estimate quotients with compatible numbers, then use the estimate to find each quotient digit and to check answers.
Long Division: 5-Digit ÷ 1-Digit
Divide 5-digit numbers by a 1-digit divisor using long division, with and without remainders.
Long Division: 5-Digit ÷ 2-Digit
Divide 5-digit numbers by a 2-digit divisor using long division, with and without remainders.
Multi-Digit Multiplication (Standard Algorithm)
Multiply multi-digit whole numbers, up to 4 digits by 3 digits, with the standard algorithm, including word problems.
Multiplication as Scaling
Predict the size of a product without multiplying: a factor greater than 1 makes it bigger, less than 1 makes it smaller.
Fractions 📝 Take the quiz
Multiplying & Dividing Fractions (Mixed Review)
Multiply and divide fractions, simplifying your answer.
Converting Fractions (Mixed Review)
Convert between equivalent fractions, improper fractions, and mixed numbers.
Adding Fractions with Unlike Denominators
Addition of fractions with different denominators: one denominator a multiple of the other, no common factor, an LCD smaller than the product, sums greater than 1 and three addends.
Adding Mixed Numbers (Unlike Denominators)
Addition of mixed numbers with different denominators: related and unrelated denominators, then regrouping when the fractions add up to more than 1, and three mixed numbers.
Dividing Unit Fractions & Whole Numbers
Divide a unit fraction by a whole number and a whole number by a unit fraction, using models and word problems.
Fraction of a Number with Tape Diagrams
Find a fraction of a whole number with a tape diagram: split the whole into equal units, find one unit, then take as many units as the numerator says.
Fractions as Division
Understand a fraction as division of the numerator by the denominator (3 ÷ 4 = 3/4) and solve fair-share word problems.
Adding & Subtracting Mixed Numbers (Mixed Review)
Add and subtract mixed numbers with unlike denominators, including regrouping and word problems.
Multiplying Fractions (Fraction × Fraction)
Multiplication of a fraction by a fraction: unit fractions, proper fractions, simplifying and cross-cancelling, three factors, improper fractions and mixed numbers.
Multiplying Fractions by Whole Numbers
Multiplication of a fraction by a whole number: unit fractions, products less than 1, whole-number products, mixed-number answers, simplifying, larger whole numbers and mixed numbers × whole numbers.
Multiplying Mixed Numbers
Multiply a mixed number by a whole number, by a fraction and by another mixed number, and solve word problems.
Subtracting Fractions with Unlike Denominators
Subtraction of fractions with different denominators: one denominator a multiple of the other, no common factor, an LCD smaller than the product, differences to simplify and LCDs up to 40.
Subtracting Mixed Numbers (Unlike Denominators)
Subtraction of mixed numbers with different denominators: without regrouping, a whole number minus a mixed number, then regrouping (borrowing 1) when the first fraction is smaller.
Adding & Subtracting Fractions with Unlike Denominators (Mixed Review)
Add and subtract fractions with different denominators by rewriting them with a common denominator.
Decimals & Percents 📝 Take the quiz
Adding & Subtracting Decimals (Mixed Review)
Add and subtract decimals to the hundredths place.
Adding Decimals with Hundredths Grids
Add decimals by shading hundredths grids in two colors, then check with the standard algorithm.
Subtracting Decimals with Hundredths Grids
Subtract decimals by shading hundredths grids and crossing out, then check with the standard algorithm.
Multiplying & Dividing Decimals (Mixed Review)
Multiply and divide decimals by whole numbers.
Comparing & Ordering Decimals
Compare decimals to the thousandths with >, <, and =, and put sets of decimals in order.
Decimal Place Value to Thousandths
Read and write decimals to the thousandths in standard, expanded, and word form, and compare the values of digits in neighboring places.
Dividing Decimals by 10, 100 & 1,000
Division of whole numbers and decimals by 10, 100 and 1,000 (and 10², 10³): move the decimal point to the left.
Dividing Decimals by Whole Numbers
Division of a decimal by a whole number: tenths and hundredths ÷ 1-digit numbers, quotients less than 1, annexing zeros, then 2-digit divisors and money.
Estimating Decimal Products
Estimate products of decimals by rounding: round each decimal to the nearest whole number (or the place given), then multiply the rounded numbers. From 6.8 × 4 up to word problems and rounding to the greatest place.
Multiplying Decimals by 10, 100 & 1,000
Multiplication of decimals by 10, 100 and 1,000 (and 10², 10³): move the decimal point to the right.
Multiplying Decimals by Whole Numbers
Multiplication of a decimal by a whole number: tenths or hundredths times a 1-digit, then a 2-digit, whole number.
Multiplying Decimals Less Than 1 (Tenths × Tenths)
Multiplication of decimals less than 1: tenths × tenths (0.3 × 0.7), then hundredths × tenths and hundredths × hundredths, writing zeros to place the point.
Multiplying Decimals: 1 Decimal Place × 1 Decimal Place
Multiplication of a decimal by a decimal, both to tenths: 3.4 × 0.6, then 2.7 × 4.3, up to numbers like 21.6 × 38.5.
Rounding Decimals
Round decimals to the nearest whole number, tenth, and hundredth, including numbers that carry over (like 4.96) and measurement and money problems.
Ratios & Proportions
Integers & Real Numbers
Expressions & Equations 📝 Take the quiz
Order of Operations with Exponents
Evaluate expressions using order of operations, including exponents.
Introduction to Algebra
Evaluate expressions with a variable and solve simple one-step equations.
Writing & Interpreting Expressions
Turn word phrases into numerical expressions, evaluate expressions with parentheses and brackets, and compare expressions without calculating.
Powers of 10 & Exponents (Mixed Review)
Use whole-number exponents for powers of 10, and multiply or divide whole numbers and decimals by 10, 100, 1,000 and powers of 10.
Functions & Graphs
Geometry 📝 Take the quiz
Classifying Shapes
Classify triangles by their side lengths.
Coordinate Plane (Quadrant I)
Identify coordinates of points in the first quadrant.
Volume of Rectangular Prisms
Find the volume of a rectangular prism given its dimensions.
Area with Fraction Side Lengths
Find the area of rectangles with fractional and mixed-number side lengths by tiling unit squares and by multiplying.
Classifying Quadrilaterals & Triangles
Use the hierarchy of quadrilaterals (squares, rectangles, rhombuses, parallelograms, trapezoids) and classify triangles by their angles.
Types of Angles: Acute, Right, Obtuse, Straight, Reflex & Full Turn
Name every type of angle from its measure, find the reflex angle that goes with an angle, and find missing parts of a right angle, straight angle, or full turn.
Volume: Unit Cubes & Composite Solids
Find volume by counting unit cubes, using base area × height, finding a missing edge, and adding the volumes of two joined prisms.
Volume by Counting Cubes
Volume from pictures of solids built from unit cubes: rows, layers and boxes, then steps and staircase shapes. Count the cubes, including the ones hidden underneath.
Measurement 📝 Take the quiz
Data, Statistics & Probability 📝 Take the quiz
Word Problems 📝 Take the quiz
Word Problems
Fraction word problems.
Decimal Word Problems
Solve real-life stories with decimals: add and subtract lengths and money, multiply and divide by whole numbers, then multiply and divide decimals and solve two-step problems.
Fraction Word Problems
Solve real-life stories by adding and subtracting fractions with unlike denominators and by multiplying fractions, whole numbers and mixed numbers.