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Addition Worksheets
Subtraction Worksheets
Multiplication Worksheets
Division Worksheets
Time Worksheets
Fractions Worksheets
Decimal Worksheets
Times Tables Worksheets
Percentages Worksheets
Coordinates Worksheets
Shape and Space Worksheets
Handing Data Worksheets
Addition Worksheets
On this worksheet learners need to calculate the unknown in a number sentence, demonstrating that they can derive / recall pairs of numbers which total 10, 20, 30 or 50.
e.g. 4+?=10. (90 questions)
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Here are more number sentences that need to be completed but this time learners derive / recall pairs of numbers which total 100.
e.g. 14+?=100. (90 questions)
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This worksheet has been designed to give learners practice in order to know more addition facts. Questions involve the addition of two small numbers which add up to no more than 20.
e.g. 4+7. (90 questions)
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The task here is to add mentally a one-digit number to a two-digit number.
e.g. 7+94. (90 questions)
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This worksheet is designed to help learners to further build up their confidence using addition facts. This time the task is to add mentally three single-digit numbers.
e.g. 2+6+7. (80 questions)
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Here learners add single-digit numbers to three-digit numbers.
e.g. 539+8. (80 questions)
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This gives learners an opportunity to practice adding two two-digit numbers. Learners can use written methods, or they may wish to try solving them mentally.
e.g. 84+54. (90 questions)
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The task here is to add two-digit numbers to three-digit numbers.
e.g. 530+81. (80 questions)
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Here learners add three two-digit numbers. It will probably help to cut these more time-consuming worksheets into strips and / or complete them over a number of sessions as there is a lot to do here.
e.g. 93+58+90. (80 questions)
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The task here is to add two three-digit numbers. Again, it will probably help to cut these worksheets into strips and / or complete them over several sessions.
e.g. 957+926. (60 questions)
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Addition: Bridging Through Ten
These worksheets are designed to give learners practice adding through a tens barrier, e.g. for questions such as 49 + 5, the answer (54) is on the other side of 50 (so 50 would be the tens barrier in this case).
The worksheets can be cut into 3 strips of 12 questions, making 27 strips- each labelled with a letter from A-Z (plus a smiley face on the 9th worksheet).
Sections A, B & C - 36 questions
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Sections D, E & F - 36 questions
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Sections G, H & I - 36 questions
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Sections J, K & L - 36 questions
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Sections M, N & O - 36 questions
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Sections P, Q & R - 36 questions
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Sections S, T & U - 36 questions
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Sections V, W & X - 36 questions
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Sections Y, Z & *smiley face* - 36 questions
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This worksheet includes 24 questions involving 3 digit or 4 digit numbers.
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Another 24 questions...
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Here the task is to calculate the unknown in a number sentence. Each completed number sentence involves two small numbers which add up to no more than 20.
e.g. _+9=11. (90 questions)
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Here are further questions involving an unknown in a number sentence.
e.g. _+9=66. (90 questions)
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Subtraction Worksheets
This worksheet provides practice in deriving / recalling subtraction facts involving small numbers no greater than 20.
e.g. 19-3. (90 questions)
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There are two types of questions on this worksheet:
- the subtraction of a two-digit number from another two-digit number, where the difference is less than 10
- the subtraction of a single-digit number from a two-digit number
e.g. 57-5. (90 questions)
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There are also two types of questions here:
- the subtraction of a three-digit number from another three-digit number, where the difference is less than 10
- the subtraction of a single-digit number from a three-digit number
e.g. 313-310. (80 questions)
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The task here is to subtract a two-digit number from another two-digit or three-digit number.
e.g. 140-98. (90 questions)
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These questions are harder and learners will probably prefer to use written methods to solve them. Cutting more demanding worksheets into strips and / or completing them over a number of learning sessions is much better than too much in one go!
e.g. 332-246. (80 questions)
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Subtraction: Bridging Through Ten
The following 9 worksheets are designed to give learners plenty of practice subtracting through a tens barrier, e.g. for questions such as 45-8, the answer (37) is on the other side of 40 (so 40 would be the tens barrier in this case).
The worksheets can be cut into 3 strips of 12 questions, making 27 strips- each labelled with a letter from A-Z (plus a smiley face on the 9th worksheet, allowing us to glide effortlessly past the limitations of a 26 letter alphabet).
Sections A, B & C - 36 questions
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Sections D, E & F - 36 questions
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Sections G, H & I - 36 questions
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Sections J, K & L - 36 questions
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Sections M, N & O - 36 questions
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Sections P, Q & R - 36 questions
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Sections S, T & U - 36 questions
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Sections V, W & X - 36 questions
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Sections Y, Z & *smiley face* - 36 questions
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This worksheet includes 30 questions giving learners practice using the traditional method of vertical subtraction.
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...another 25 questions...
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...and another 25 questions...
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These worksheets involve calculating the unknown in a number sentence.
e.g. 18 - ? = 3 (90 questions)
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e.g. 40 - ? = 33 (90 questions)
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e.g. 774 - ? = 770 (80 questions)
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e.g. 151 - ? = 88 (90 questions)
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Multiplication Worksheets
The first (three) worksheets are pitched at 3 levels in order to support learners who are adequately confident with the
2, 5 & 10 times tables (Multiplication 1)
3, 4 & 6 times tables (Multiplication 2)
7, 8 & 9 times tables (Multiplication 3)
Multiply 2-digit numbers by either 2, 5 or 10.
e.g. 2 x 41. (90 questions)
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Multiply 2-digit numbers by either 3, 4 or 6.
e.g. 43 x 3. (90 questions)
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Multiply 2-digit numbers by either 7, 8 or 9.
e.g. 19 x 7. (90 questions)
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The following worksheets are designed to help learners to practice short multiplication, and at the same time become more confident with their times tables.
Multiply 3-digit, 4-digit and 5-digit numbers by 2
e.g. 5296 x 2. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 3
e.g. 8937 x 3. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 4
e.g. 5312 x 4. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 5
e.g. 1674 x 5. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 6
e.g. 4967 x 6. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 7
e.g. 2501 x 7. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 8
e.g. 4850 x 8. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 9
e.g. 2138 x 9. (25 questions)
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Multiply 3-digit, 4-digit and 5-digit numbers by 10
e.g. 6791 x 10. (25 questions)
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e.g. 89 x 61. (20 questions)
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e.g. 17 x 94. (20 questions)
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e.g. 376 x 55. (20 questions)
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e.g. 578 x 82. (20 questions)
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e.g. 867 x 24. (20 questions)
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Division Worksheets
Tests knowledge of division facts relating to the 2, 5 and 10 times tables (3 tests, each with 30 questions)
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Tests knowledge of division facts relating to the 3, 4 and 6 times tables (3 tests, each with 30 questions)
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Tests knowledge of division facts relating to the 7, 8 and 9 times tables (3 tests, each with 30 questions)
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30 division questions designed to provide practice for those confident of division facts relating to the 2, 5 and 10 times tables, e.g. 315 divided by 5.
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30 division questions designed to provide practice for those confident of division facts relating to the 3, 4 and 6 times tables, e.g. 147 divided by 3.
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30 division questions designed to provide practice for those confident of division facts relating to the 7, 8 and 9 times tables, e.g. 270 divided by 9.
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30 division questions designed to provide further practice for those confident of division facts relating to the 2, 5 and 10 times tables, e.g. 266 divided by 10.
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30 division questions designed to provide further practice for those confident of division facts relating to the 3, 4 and 6 times tables, e.g. 369 divided by 6.
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30 division questions designed to provide further practice for those confident of division facts relating to the 7, 8 and 9 times tables, e.g. 507 divided by 7.
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Time Worksheets
This worksheet shows 20 analogue clocks and allows learners to demonstrate that they can tell the time from clocks showing the hour and the half hour. Other questions ask learners to write the time each clock would have shown 15 minutes later / 30 minutes later / 1 hour earlier.
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Here are another 20 analogue clocks providing further practise in telling the time. These clocks mainly show times that are quarter to or quarter past the hour. Further questions ask learners to write the time each clock would have shown 15 minutes later / 45 minutes later / 1 hour 30 minutes earlier.
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This worksheet includes clocks showing 5 past, 10 past, quarter past, 20 past, 25 past, half past, 25 to, 20 to, quarter to, 10 to and 5 to the hour. Additional questions ask learners to write the time each clock would have shown 25 minutes later / 55 minutes earlier / 2 hours 35 minutes later.
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Tip: Learners may well find this worksheet easier if they are provided with a short rule (or 'ruler') to extend the minute hand. This may help them to accurately tell the time as the minute hands on this worksheet often point to times that are harder to read, e.g. 11.27. More questions ask learners to write the time each clock would have shown 18 minutes later / 2 hours 36 minutes earlier / 3 hours 48 minutes later.
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For each of the 20 analogue clocks shown, the task here is to write what a digital 24-hour clock would have shown if it was either am (after midnight but before midday) or pm (after midday but before midnight).
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This worksheet shows 20 analogue 'clocks' without any hands. The task is to show the times (provided in digital format) by drawing hands on the analogue clocks.
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Fractions Worksheets
Fractions in this worksheet are
represented as circles divided into sectors. The task is to work out what
fraction of each circle has been shaded.
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Each fraction on
this worksheet is shown using an arrow above a point on a straight
line.
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The task here is to work out what fraction of each oblong has been shaded.
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29 circles need to be shaded in order to
represent given fractions.
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This worksheet shows 20 partially shaded polygons. The task is to work out what fraction of each polygon has been shaded.
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This can be used as a
fast paced warm up game. Fractions are represented by 35 partially shaded
circles and are arranged on a coordinates grid. Percentage or decimal
related questions might also be asked.
24 illustrations (pies and slices) provide a visual representation of improper fractions. As an extra activity, learners can also give their answers as mixed fractions (also known as mixed numbers).
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Mixed fractions are illustrated here as points on a line. Answers may also be given as improper fractions.
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This worksheet gives learners practice in finding fractions of whole number quantities represented by blocks of squares. This may also provide an opportunity to explore and discuss equivalent fractions.
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The task here is to find fractions of small numbers represented by groups of shapes. Learners can then simplify the answers as far as possible.
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On this worksheet, learners shade in circles or blocks to visually illustrate equivalent fractions.
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This worksheet is designed to help learners reinforce their concept of equivalent fractions by dividing sectors of partially shaded circles.
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This worksheet is like the one above, but this time the task is to divide rectangles.
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This worksheet allows learners to demonstrate their understanding of equivalent fractions by shading in a range of shapes.
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The following 3 worksheets use lines to demonstrate the idea of fractions of whole number quantities:
12 linear scales aimed at those familiar with the 2, 5 and 10
multiplication tables
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12 linear scales aimed at those familiar with the 3, 4 and 6
multiplication tables
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12 linear scales aimed at those familiar with the 7, 8 and 9
multiplication tables
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These worksheets use dials to show fractions of whole number quantities:
20 dials, each with 8 intervals
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20 dials, each with 10 intervals
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20 dials, each with 12 intervals
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30 questions e.g. 1/2 x 10.
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30 questions e.g. 4/5 x 55.
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Cut up along the DOTTED lines only.
You should now have 32 rectangles (16 from each sheet).
The rectangles are given out so each player has at least one each.
Encourage the players to look at the number on the left of their rectangles and consider what questions might give their number.
Any player can start by reading aloud the 'question part' on the right of their rectangle.
If another player has the answer on their card they call it out, and then ask their question.
This continues until the loop ends when the player who asked the first question gives the answer to the very last question.
Tips:
It's worth printing out two extra sheets just so you can keep track!
For smaller groups some players may be given 2 or more rectangles, or if you prefer the loop itself may be shortened with a little cutting and sticking.
30 fractions (e.g. 5/15) need to be written in their simplest form
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30 more fractions (e.g. 81/90) need to be written in their simplest form
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20 questions e.g. 4/5 + 3/5
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The following 2 worksheets allow learners to practice adding fractions with different denominators:
20 questions e.g. 1/8 + 1/4
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20 questions e.g. 1/3 + 1/12
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Here are 20 questions involving mixed fractions with different denominators e.g.
2 11/12 + 2/3
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These worksheets give learners practice subtracting fractions with different denominators:
20 questions e.g. 3/4 - 1/2
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20 questions e.g. 5/12 - 1/6
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20 questions e.g. 1/2 x 5/6.
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Hopefully this mnemonic will come in handy when demonstrating the algorithm...
"A fraction divided by a fraction? Turn right around to multiplication!"
20 questions e.g. 1/4 ÷ 1/10.
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This worksheet has 2 sections. The first tests learners' ability to change fractions into decimals. The second section allows learners to show that they can change decimals into fractions.
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**Note: There are many different
ways to correctly shade in the shapes.
These are not the only "answers".
Decimal Worksheets
This worksheet includes 20 illustrations of decimal numbers represented by partially shaded circles (each divided into 10 sectors). Learners need to write the decimal number that each illustration represents.
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This worksheet represents decimal numbers using partially shaded squares (each divided into 10 strips). The task is to write down the decimal number represented by each of the illustrations.
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Decimals are shown here using 6 number lines. Each number line is marked with 7 points labelled A-G. The task is to write the decimal numbers shown at each of these points.
Team Game: A whole class/ small group activity may be based on this worksheet especially as the answers relate to times tables facts (If learners know that 7 × 3 = 21, they can use this fact to help them work out that 7 × 0.3 = 2.1).
e.g. A player thinks up a question such as 6 × 0.8.
A player giving the answer must also find it on one of the number lines on the worksheet and answer using its reference, in this case, 4E.
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This worksheet also has 6 number lines, but the task this time is to label the lines using the decimal numbers specified.
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This worksheet provides practice in horizontal addition of simple decimal numbers (to one decimal place). The worksheet also includes a 'fill in the gaps' section.
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There are 24 questions here allowing learners to practice vertical addition of decimal numbers (to one decimal place). As an extension, learners can round their answers to the nearest whole number.
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This worksheet provides practice in horizontal subtraction of simple decimal numbers (to one decimal place). The worksheet also includes a 'fill in the gaps' section.
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Here are 25 questions, allowing learners to practice vertical subtraction of decimal numbers (to one decimal place). As an extension activity, learners can round their answers to the nearest whole number.
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These questions provide learners with practice in vertical multiplication of decimal numbers (to one / two decimal places). As an extension, learners can round their answers to the nearest whole number.
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If required, this may be cut into 2 separate worksheets / tests.
Test 1:
25 division questions where 2-digit decimal numbers (to one decimal place) need to be divided by a single digit whole number.
N.B. learners may benefit from considering how these questions relate to times tables facts.
Test 2:
20 questions allow learners to practice short division with decimal numbers (to one decimal place and two decimal places).
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The task on this worksheet is to interpret dials measuring volume or weight. Answers need to be given in both litres and millilitres (for the volume section), or both kilograms and grams (for the weight section).
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This worksheet allows learners to demonstrate their understanding of both decimals and place value by converting units (i.e. between millimetres & centimetres / centimetres & metres / grams & kilograms / millilitres & litres). This worksheet may be useful for assessing learners' ability to multiply and divide numbers by 10, 100 or 1,000.
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Times Tables Worksheets
Team Game: A whole class/ small group activity may be based on this worksheet as the answers relate to times tables facts. The worksheet shows 6 number lines, each marked with 7 points labelled A-G.
Question example: "Six eights?"...
Before giving the answer, players must first find it on one of the number lines on the worksheet and answer using its reference, in this case, "4E. Six eights are forty-eight".
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This is like the number lines activity above, but this time the numbers are on a coordinates grid. This and other coordinates worksheets can also be found in the coordinates worksheets section of the site.
Tests
knowledge of the 2, 5 and 10 times tables, e.g. 2 x 3 =
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Tests
knowledge of the 3, 4 and 6 times tables, e.g. 4 x 7 =
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Tests
knowledge of the 7, 8 and 9 times tables, e.g. 8 x 6 =
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8 Grids to
help learners practice their 2, 5 and 10 times tables
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8 Grids to help
learners practice their 4, 6 and 3 times tables
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8 Grids to help
learners practice their 7, 9 and 8 times tables
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Here is a link to an external site which provides a useful
multiply by 10 worksheet.
http://www.pearse.co.uk/lego/worksheets/maths/
Most of the questions on this loop are from the 2, 5 & 10 times tables
Most of the questions on this loop are from the 3, 4 & 6 times tables
Questions on this loop are from the 7, 8 & 9 times tables
Loop Instructions:
Cut up along the DOTTED lines only.
You should now have 32 rectangles (16 from each sheet).
The rectangles are given out so each player has at least one each.
Encourage the players to look at the number on the left of their rectangles and consider what questions might give their number.
Any player can start by reading aloud the 'question part' on the right of their rectangle.
If another player has the answer on their card they call it out, and then ask their question.
This continues until the loop ends when the player who asked the first question gives the answer to the very last question.
Tips:
- It's worth printing out two extra sheets just so you can keep track!
-The small spots are to make it quicker and easier to sort the rectangles into their original sets just in case they become mixed with other sets.
- For smaller groups some players may be given 2 or more rectangles, or if you prefer the loop itself may be shortened with a little cutting and sticking.
Times Tables Posters
The numbers on the following posters can be coloured in.
Learners may wish to chant each line over and over (e.g. "two threes are six"), while colouring in the numbers in that line.
This may be particularly helpful for those who prefer to do something active while learning their times tables, as opposed to just chanting them.
These posters are up to 10 ×.
For times tables posters including 11 × and 12 ×, please scroll a little further down...
These posters include 11 × and 12 ×
Percentages Worksheets
- illustrates 25%, 50%, 75% and 100%
- illustrates 20%, 10%, 90% and 80%
The above sheets can both be cut into three and used for discussion. It may be worthwhile for learners to stick them into their exercise books for reference.
They use shaded shapes to illustrate percentages, and give examples of how percentages relate to fractions including hundredths.
Learners need to fill in the gaps to show the percentages, fractions and decimals that are represented by shaded squares and circles.
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Percentages are illustrated here as sectors of circles. Learners need to write the percentage that each sector represents.
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The task here is to work out the percentage of a whole line that a spider has travelled at the points indicated.
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The following 2 worksheets are designed to gently introduce learners to percentages of quantities:
Three sets of shapes need to be shaded. The task is to shade 50% of each shape in the first set, 25% of each shape in the second set, and 75% in the third.
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As the name suggests, learners are presented with groups of dots which need to be circled-
50% of the dots in each box in the first section, 25% in the second section and 75% in the third.
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30 questions e.g. 50% x 16.
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30 questions e.g. 17% x 400.
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This worksheet is divided into 4 sections, allowing learners to demonstrate that they can
a) change percentages to fractions
b) change fractions to percentages
c) change percentages to decimals
d) change decimals to percentages
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This worksheet is designed to test learners' ability to
a) increase a number by a given percentage
b) work out the percentage increase given the original and new amount
c) decrease a number by a given percentage
d) work out the percentage decrease given the original and new amount
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*There are
many different ways to correctly shade in the shapes / circle the dots. These are not the
only "answers"
Coordinates Worksheets
A range of symbols are positioned at different points in the first quadrant. The task is to work out the coordinates of each symbol and complete a table accordingly.
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Here learners need to read and plot eight sets of coordinates in the first quadrant, joining the points as they go to make eight separate shapes.
It may be helpful at the end of the activity to discuss the properties of the shapes that have been drawn.
e.g. How many quadrilaterals are there? Which shapes have right angles? Do any have more than one line of symmetry?
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This worksheet includes a coordinates grid showing all four quadrants. Learners need to work out the coordinates of the points shown in the grid and record them in a table.
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The task here is to read and plot six sets of coordinates on a grid showing all four quadrants, joining the points as you go to make six separate shapes.
As an extension activity, learners might consider the mathematical relationships between the shapes.
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Team Game: A whole class/ small group activity may be based on this worksheet as the numbers on the coordinates grid relate to times tables facts.
Question example: "3 × 9?"...
Before giving the answer, players must first find it on the coordinates grid and answer using its reference, in this case,
"C6. Three nines are twenty-seven".
This and other times tables worksheets can also be found in the times tables worksheets section of the site.
Shape and Space Worksheets
The task here is to name fifteen 2D shapes (ellipse, regular pentagon, kite, trapezoid*, regular decagon, parallelogram, irregular octagon, equilateral triangle, regular hexagon, isosceles triangle, square, regular heptagon, scalene triangle, trapezium**, regular nonagon) with the help of a list of shape names at the bottom of the worksheet.
As an extra activity there is also the option to work out the number of lines of symmetry for each shape.
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The following three worksheets have been designed to allow learners to demonstrate their understanding of reflective symmetry. Each worksheet shows 15 shapes which need to be reflected in a mirror line.
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Consider the properties of a range of quadrilaterals, using a flow chart to help identify and name each one.
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This worksheet also uses a flow chart but this time the task is to name seven triangles (equilateral, obtuse-angled scalene, right-angled scalene, acute-angled scalene, obtuse-angled isosceles, right-angled isosceles, acute-angled isosceles).
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Make your own cube. Simply print, cut out, fold and glue.
If time, the more artistic may wish to add some colour before cutting them out.
Why not combine the finished cubes to make an attractive collaborative 3D display?
It may be helpful to discuss some of the nets before cutting and folding. For example here learners can identify parallel lines, obtuse / acute / right angles, or the names of the 2D shapes that make up the net (equilateral triangles and rectangles). The flaps are trapeziums (if you are from places like the U.K. or Australia), or trapezoids (if you are from places like the U.S. or Canada). Wherever you're from, the flaps are quadrilaterals with one pair of parallel sides. Phew! We can all be friends now.
The double version is included for those who wish to reduce paper / photocopying usage and don't mind smaller shapes.
Here's another net for more folding, cutting and sticking.
*U.S. / Canada: trapezium
**U.S. / Canada: trapezoid
Handling Data Worksheets
Here are 18 polygons that can be cut out and then used for sorting / grouping activities:
Possible criteria for grouping / sorting:
Is it a triangle?
Is it a quadrilateral?
Are any of the sides parallel?
Are there any perpendicular lines?
Are there any lines of symmetry?
Does the shape have an even / odd number of sides?
Is the shape regular?
Would the shape tessellate?
Are all angles obtuse?
etc...
The shapes could be used to help learners develop confidence with Carroll diagrams.
A large sheet of paper might be used to create the Carroll diagram.
The shapes could then be placed in the correct position, depending on the chosen criteria.
Criteria can be written on separate pieces of scrap paper so that the main sheet of paper can be used again.
The following worksheets each show a pictogram with questions.
If you would like to use the pictograms for discussion only, you may prefer to select the 2 sheets below which just show the pictograms (with no questions).
Answers for Pictograms 1 - 4.