The New Zealand Curriculum · Phase 1
Year 3 Maths Worksheets
For the third year at school (Year 3), the topics Mathematics and Statistics covers in the New Zealand Curriculum, with the skills we have worksheets for, each described in our own words.
141 worksheets
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What students learn in Year 3 Mathematics and Statistics
New Zealand Year 3 Mathematics and Statistics has 5 topics: Numbers and calculating; Patterns, rules and equations; Measuring, time and money; Shapes, position and space; and Data and graphs. Our worksheets cover 42 skills in all 5. The most are in Numbers and calculating, with 27 skills, such as multiplication facts, division facts and adding multi-digit numbers with carrying. The others are in Patterns, rules and equations (4 skills); Measuring, time and money (8 skills); Shapes, position and space (5 skills); and Data and graphs (3 skills). Each skill below says in plain words what your child works on, with links to its worksheets.
Numbers and calculating
math/third-year/number.number-structures.knowledge/01-756305 math/third-year/number.number-structures.knowledge/02-ee8868 math/third-year/number.number-structures.practices/01-01206e math/third-year/number.number-structures.practices/02-92a2cc math/third-year/number.number-structures.practices/03-97bad7 math/third-year/number.number-structures.knowledge/01-ca8731 math/third-year/number.number-structures.knowledge/01-6d2bc4 math/third-year/number.number-structures.knowledge/02-0a3e83
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math/third-year/number.number-structures.practices/01-e6a647 math/third-year/number.number-structures.practices/02-a1f04c math/second-year..third-year/number.number-structures.knowledge/03-c67ec0 math/third-year/number.number-structures.practices/01-0f3fc9 math/third-year/number.number-structures.practices/02-307c86 math/third-year/number.operations.knowledge/01-ca872a math/third-year/number.operations.knowledge/02-e41833 math/third-year/number.operations.knowledge/03-0e51aa math/third-year/number.operations.practices/01-44b4ce math/third-year/number.operations.practices/02-74ea61 math/third-year/number.operations.practices/03-055815 math/third-year/number.operations.practices/04-1a65d0 math/third-year/number.operations.knowledge/01-2d92de math/third-year/number.operations.knowledge/02-d20a9e math/third-year/number.operations.practices/01-19c332 math/third-year/number.operations.practices/02-4354a5 math/third-year/number.operations.practices/03-f25df6 math/third-year/number.operations.practices/04-d683ca math/third-year/number.rational-numbers.knowledge/01-186b93 math/third-year/number.rational-numbers.knowledge/02-266ff4 math/third-year/number.rational-numbers.knowledge/03-4af29f math/third-year/number.rational-numbers.knowledge/04-c93b1e math/third-year/number.rational-numbers.knowledge/05-eb0d68 math/third-year/number.rational-numbers.knowledge/06-371b33 math/third-year/number.rational-numbers.practices/01-21610f math/third-year/number.rational-numbers.practices/02-6e5327 math/third-year/number.rational-numbers.practices/03-30e6c0 math/third-year/number.rational-numbers.practices/04-b147d0 math/third-year/number.rational-numbers.practices/05-477bde math/third-year/number.rational-numbers.knowledge/01-be4e29 math/third-year/number.rational-numbers.practices/01-73e4ab math/third-year/number.rational-numbers.knowledge/01-cc6ff1 math/third-year/number.rational-numbers.practices/01-e6146b math/third-year/number.rational-numbers.practices/02-7fad8b math/third-year/number.financial-mathematics.knowledge/01-1315fc math/third-year/number.financial-mathematics.knowledge/02-475df1 math/third-year/number.financial-mathematics.practices/01-60524d math/third-year/number.financial-mathematics.practices/02-e60989 math/third-year/number.financial-mathematics.practices/03-27292b- Multiplication facts. Know the times tables without counting: 2, 5 and 10 first, then up to 10 × 10, then up to 12 × 12. Worksheets: Times Tables Worksheets 2–10 (set) · Multiplication Facts: 2, 5, and 10 · Multiplication Quizzes 1–12 (set) · Multiplication Quiz: 2, 5, and 10.
- Division facts. Know the division facts that go with each times table, such as 56 ÷ 8 = 7 because 7 × 8 = 56. Worksheets: Division Facts Worksheets ÷2 to ÷10 (set) · Division Facts: 2, 5, and 10 · Division Quizzes ÷1 to ÷12 (set) · Division Quiz: 2, 5, and 10.
- Adding multi-digit numbers with carrying. Add numbers with two or more digits in columns, carrying when a column makes ten or more. Worksheets: Two-Digit Addition with Regrouping · Three-Digit Addition with Regrouping · Three-Digit Addition Without Regrouping · Three-Digit Addition: Regroup Once.
- Subtracting multi-digit numbers with borrowing. Subtract numbers with two or more digits in columns, borrowing from the next place when needed. Worksheets: Two-Digit Subtraction with Regrouping · Three-Digit Subtraction with Regrouping · Three-Digit Subtraction Without Regrouping · Three-Digit Subtraction: Regroup Once.
- Multiplying multi-digit numbers. Multiply two- and three-digit numbers by one- and two-digit numbers, with area models and the standard algorithm. Worksheets: Multiplying 2-Digit by 1-Digit Numbers.
- Naming and shading fractions. Say what fraction of a shape or a set is shaded, and shade a given fraction, knowing that the bottom number counts the equal parts and the top number counts the parts taken. Worksheets: Fractions: Halves, Thirds, and Fourths · Fractions: Sixths and Eighths · Fractions of a Set · Fractions on a Number Line: Halves to Fourths · Fractions on a Number Line: Sixths and Eighths · Adding Unit Fractions and 1 more.
- Equivalent fractions. Find fractions that name the same amount, such as 1/2 and 4/8, with fraction bars and then by multiplying or dividing the top and bottom by the same number, and write fractions in simplest form. Worksheets: Equivalent Fractions with Bars · Whole Numbers as Fractions.
- Comparing and ordering fractions. Compare two fractions with <, > or =, first when they share a top or bottom number and then when they share neither, and put fractions in order from least to greatest. Worksheets: Comparing Fractions with Bars.
- Tens and ones, and hundreds, tens and ones. See a two-digit number as tens and ones and a three-digit number as hundreds, tens and ones: show it with base-ten blocks, write the number that blocks show, write it in a place value chart, and in expanded form and in words. Worksheets: Hundreds, Tens, and Ones with Base Ten Blocks · Hundreds, Tens, and Ones: Write the Number · Place Value Chart: Hundreds, Tens, and Ones · Expanded Form: Three-Digit Numbers · Standard, Word, and Expanded Form.
- Comparing and ordering two- and three-digit numbers. Compare two numbers to 999 by their hundreds, then their tens, then their ones, write the result with >, < or =, and put numbers in order from least to greatest or greatest to least. Worksheets: Comparing Three-Digit Numbers · Comparing Numbers: Close Pairs · Ordering Three-Digit Numbers.
- Ten more and ten less, 100 more and 100 less; adding and taking away tens. Find 10 more and 10 less than a two-digit number, and 10 or 100 more or less than a three-digit number, without counting; add and take away tens, and add tens or ones to a two-digit number. Worksheets: 10 More, 10 Less, 100 More, 100 Less · 10 or 100 More or Less: Crossing a Hundred.
- Rounding to the nearest 10 and 100. Round a number to the nearest 10 or 100 by finding the multiples of 10 or 100 it sits between on a number line and seeing which is closer, with a 5 or 50 rounding up. Worksheets: Rounding to the Nearest 10 on a Number Line · Rounding to the Nearest 10 · Rounding to the Nearest 100 on a Number Line · Rounding to the Nearest 100 · Rounding to the Nearest 10 and 100.
- Equal parts of shapes: halves, thirds and quarters. Split circles, squares and rectangles into equal parts, tell equal parts from unequal ones, name the parts halves, thirds and quarters, cut a rectangle into rows and columns of squares, and see that equal parts of the same whole can have different shapes. Worksheets: Equal Areas: Unit Fractions · One Third and Two Sixths · Counting Fourths, Halves, and Eighths.
- Equal groups and arrays. Find the total of equal groups and of rows and columns in an array by repeated addition, write it as a multiplication, and share a total into equal groups for division. In Years 2 and 3, add small equal groups and share up to 12 equally. Worksheets: Equal Groups · Arrays and Multiplication · Sharing into Equal Groups · Sharing Equally to 12 · Repeated Addition: Equal Groups and Arrays · Finding the Whole from One Part.
- Finding the unknown number in multiplication and division. Find the missing number in an equation such as 8 × ? = 48 or 56 ÷ ? = 7, and think of division as finding the unknown factor in a multiplication. Worksheets: Division as an Unknown Factor.
- Properties of multiplication. Use the order property (4 × 6 = 6 × 4), the grouping property (3 × 5 × 2) and the distributive property (8 × 7 = 8 × 5 + 8 × 2) to multiply in easier steps. Worksheets: The Distributive Property of Multiplication.
- Multiplying by multiples of 10. Multiply a one-digit number by 10, 20, 30 ... 90 using a basic fact and place value: 4 × 60 is 4 × 6 tens, which is 24 tens, or 240. Worksheets: Multiplying by Multiples of 10.
- Estimating sums, differences, products and quotients. Round the numbers or use compatible numbers to estimate a sum, difference, product or quotient, and use the estimate to check whether an exact answer is reasonable. Worksheets: Estimating Sums and Differences.
- Place value to 100,000. Read, write, build and break apart numbers to 100,000 as ten thousands, thousands, hundreds, tens and ones, see that each place is ten times the place to its right, and compare and order them with <, > and =. Worksheets: Place Value Chart to 100,000.
- New Zealand money: coins, notes, change and decimals. Know the value of New Zealand coins and notes, total and make amounts in 10 cents, give change, and write dollars and cents with a decimal point. Worksheets: Making Amounts with New Zealand Money · Giving Change in New Zealand Dollars.
- Addition and subtraction word problems. Solve word problems that join, take away, put together, take apart and compare, with the unknown in any place, using drawings, number lines and equations, from within 10 in Year 1 to within 1,000 in Year 4. Worksheets: Two-Step Word Problems Within 100 · Word Problems Within 1,000 · Which Story Fits? Within 1,000 · Word Problems Within 1,000 for Year 3 · Word Problems: Add Three or Four Numbers.
- The equal sign and missing numbers. See the equal sign as "the same as": tell whether equations such as 6 = 6 and 4 + 1 = 5 + 2 are true, find the missing number in any place (8 + ? = 11, 5 = ? - 3), and use the order and grouping properties to add. Worksheets: Missing Numbers to 1,000.
- Number and shape patterns from a rule. Make a number or shape pattern from a rule, find the rule of a pattern and the missing terms, fill in input-output tables, and compare two patterns made from two rules. Worksheets: Counting to 1,000 by 50s, 100s, and 200s · Number Patterns to 100.
- Mental calculation: estimating and quick ways to add and subtract. Estimate a sum or difference first, as more or less than a ten or as the closest ten, then work out the exact answer in your head; add and subtract 1, 10 and 100, doubles and near tens without writing the steps. Worksheets: Estimate, Then Add or Subtract to 50 · Closest Ten, Then the Answer.
- Numbers and jumps on a number line. Count forward and back along a number line, by ones and by skip counting in 2s, 5s and 10s, write the number that belongs at a point or in a gap, and add or subtract by jumping forward or back in ones or tens. Worksheets: Skip Counting by 5s, 10s, and 100s to 1,000.
- Odd and even numbers. Tell whether a group of up to 40 objects is odd or even by pairing them up or counting by 2s, and write an even number as the sum of two equal addends. Worksheets: Odd or Even: Numbers to 100.
- Number bonds and making 10. Split a number up to 10 into two parts in every way (7 is 5 and 2, 4 and 3), find the number that makes 10 with another, and make 10 with two or more numbers. Worksheets: Make 100.
Patterns, rules and equations
math/third-year/algebra.equations-and-relationships.practices/01-4e367a math/third-year/algebra.equations-and-relationships.practices/02-bf6d8c math/second-year..third-year/algebra.equations-and-relationships.knowledge/01-40d1d1 math/third-year/algebra.equations-and-relationships.knowledge/01-c848ad math/third-year/algebra.equations-and-relationships.practices/01-64f0db
- Comparing and ordering two- and three-digit numbers. Compare two numbers to 999 by their hundreds, then their tens, then their ones, write the result with >, < or =, and put numbers in order from least to greatest or greatest to least. Worksheets: Greater Than, Less Than: Two-Digit Numbers · Comparing Three-Digit Numbers.
- Finding the unknown number in multiplication and division. Find the missing number in an equation such as 8 × ? = 48 or 56 ÷ ? = 7, and think of division as finding the unknown factor in a multiplication. Worksheets: Missing Factors · Missing Numbers in Multiplication and Division.
- The equal sign and missing numbers. See the equal sign as "the same as": tell whether equations such as 6 = 6 and 4 + 1 = 5 + 2 are true, find the missing number in any place (8 + ? = 11, 5 = ? - 3), and use the order and grouping properties to add. Worksheets: Missing Numbers to 1,000.
- Number and shape patterns from a rule. Make a number or shape pattern from a rule, find the rule of a pattern and the missing terms, fill in input-output tables, and compare two patterns made from two rules. Worksheets: Number Patterns to 100.
Measuring, time and money
math/third-year/measurement.measuring.practices/01-c1a1e5 math/third-year/measurement.measuring.practices/02-369344 math/third-year/measurement.measuring.knowledge/01-e7f0e8 math/third-year/measurement.measuring.knowledge/02-64ea54 math/second-year..third-year/measurement.measuring.practices/01-5c0f75 math/third-year/measurement.measuring.practices/01-9fdfbb math/second-year..third-year/measurement.measuring.knowledge/01-b09c3e math/second-year..third-year/measurement.measuring.knowledge/02-a4f013
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math/second-year..third-year/measurement.measuring.practices/01-031e0c math/second-year..third-year/measurement.measuring.knowledge/01-58d005 math/third-year/measurement.measuring.practices/01-4b02b9 math/third-year/measurement.measuring.practices/02-a77d63 math/third-year/measurement.measuring.practices/03-08e72c math/third-year/measurement.measuring.knowledge/01-6911ef math/third-year/measurement.measuring.knowledge/02-5a253d math/third-year/measurement.measuring.knowledge/03-704b0b math/third-year/measurement.measuring.knowledge/04-0b730c math/third-year/measurement.measuring.knowledge/05-ddff64 math/third-year/measurement.measuring.knowledge/06-7110f5- Area and perimeter of rectangles. Find the area of a rectangle by counting unit squares and then by multiplying its length and width, find its perimeter by adding its sides, find a missing side, and find the area of shapes made of rectangles. Worksheets: Area: Count the Squares · Perimeter: Count the Units · Area in Square cm · Area with Square and Triangle Tiles.
- Telling the time on clock faces and digital clocks. Read and write the time on clocks with hands and on digital clocks: to the hour and half hour, then to 5 minutes and the quarter hours, then to the minute, and say whether a time is a.m. or p.m. Choose seconds, minutes or hours for how long something takes. Worksheets: Telling Time: Quarter Past and Quarter To · Telling Time to 5 Minutes · Telling Time to the Minute · Draw the Hands: to 5 Minutes · Draw the Hands: to the Minute · Match the Clocks: to 5 Minutes and 1 more.
- Elapsed time in minutes. Find how many minutes pass from one time to another on clocks, and the time some minutes later or earlier, across the hour. Worksheets: Elapsed Time: How Many Minutes? · Elapsed Time to the Minute · What Time Will It Be? · Elapsed Time: Minutes Later and Earlier.
- Measuring length with a ruler. Measure with a ruler in inches and cm, from 0 or from another mark, to the nearest whole unit, half inch or quarter inch; estimate lengths in inches, feet, yards, cm and m; find how much longer one thing is than another; show measurements on a dot plot. Worksheets: How Much Longer? cm · Estimate Length: cm and m · Estimate, Then Measure: cm.
- Liquid volume and mass. Read liquid volume in L and mL on a measuring jug and mass in g and kg on a scale, estimate, and solve one-step problems with them. Worksheets: Reading Liquid Volume · Reading Mass on a Scale · Liquid Volume and Mass Word Problems.
- Repeating patterns with shapes. Find the part of a pattern that repeats (AB, ABB, AAB, ABC), say what comes next, fill in a missing part, name the pattern, and make a pattern of their own. Worksheets: Patterns That Turn.
- Reading a calendar. Read the date on a calendar, name the days of the week and the months in order, and find days, weeks, holidays and seasons on a calendar page. Worksheets: Days, Weeks, Months, and Years · Days in Each Month and Leap Years.
- Angles: naming, classifying and measuring. Name angles as acute, right, obtuse or straight by comparing them with a right angle, measure and draw angles in degrees with a protractor, and find a missing angle when two angles make a larger one. Worksheets: Turns and Right Angles.
Shapes, position and space
math/third-year/geometry.shapes.practices/01-20024c math/third-year/geometry.spatial-reasoning.knowledge/01-51f3a1 math/third-year/geometry.spatial-reasoning.knowledge/02-bec10a math/third-year/geometry.spatial-reasoning.practices/01-7531f8 math/third-year/geometry.pathways.knowledge/01-b2b1af math/third-year/geometry.pathways.practices/01-331dfb math/third-year/geometry.pathways.knowledge/01-261233 math/third-year/geometry.pathways.practices/01-18c8ca
- 2D shapes: names, sides and vertices. Name circles, triangles, squares, rectangles, hexagons and other polygons in any size and turn, count their sides and vertices, and tell what makes a shape that shape, such as three straight sides and a closed outline for a triangle. Draw the matching half of a shape, and tell when two shapes are the same size and shape. Worksheets: Name the Polygons · Sides and Vertices of Polygons.
- Position words. Use words such as above, below, beside, in front of, behind, next to, inside and outside to say where objects are, and draw an object in a named place. Worksheets: Following Directions on a Grid · Reading a Map.
- Coding without a computer: follow, write and fix code. Follow a set of instructions on a grid to see where it ends, write the instructions for a path, find and fix the mistake in a set of instructions, and use repeats (loops) and choices (if) in later years, all on paper. Worksheets: Coding on a Grid: Repeats · Coding on a Grid: Two Robots at Once.
- Points, lines, rays and lines of symmetry. Name and draw points, lines, line segments and rays, find parallel and perpendicular lines, sort figures by them, and draw the lines of symmetry of a figure. Worksheets: Lines of Symmetry.
- Angles: naming, classifying and measuring. Name angles as acute, right, obtuse or straight by comparing them with a right angle, measure and draw angles in degrees with a protractor, and find a missing angle when two angles make a larger one. Worksheets: Turns and Right Angles.
Data and graphs
math/third-year/statistics.developing-knowledge-from-data.knowledge/01-e86eb4 math/third-year/statistics.visualisation-of-data.knowledge/01-6e30bb math/third-year/statistics.visualisation-of-data.knowledge/02-58a8e3 math/third-year/statistics.visualisation-of-data.practices/01-da5abf math/first-year..third-year/statistics.interpretation-of-data.knowledge/01-b884f6 math/third-year/statistics.interpretation-of-data.practices/01-2370f4 math/third-year/statistics.interpretation-of-data.practices/02-b823b7
- Picture graphs and tally charts. Count things into groups and record them with tally marks; read and draw picture graphs where one picture stands for 1, 2 or 5; answer how many, how many more or fewer, and how many in all. Worksheets: Scaled Picture Graphs · Make a Scaled Picture Graph.
- Bar graphs. Read and draw bar graphs, upright and across, on a scale of 1, 2, 5 or 10, and solve one- and two-step how many more and how many fewer problems from them. Worksheets: Reading Bar Graphs · Scaled Bar Graphs · Bar Graphs: Two-Step Problems · Make a Bar Graph · Make a Scaled Bar Graph · Bar Graph Word Problems.
- Collecting and sorting data: frequency tables. Collect data by observing, experimenting, asking or looking it up, and record it: tally marks and frequency tables, stem-and-leaf plots, relative frequencies and percents of a sample, intervals for measured data, and a table of values for two-variable data; say how a measure was taken and in what unit. Worksheets: Variables: Categorical or Numerical?.
Topic names and descriptions are written by Stepsies in our own words. For the full text of the New Zealand Curriculum, read the official mathematics and statistics document. Curriculum names are used only to describe the topics a worksheet covers. Stepsies is independent and is not affiliated with, endorsed by or approved by any ministry, agency or school board. Check the official curriculum documents for what is required.