(Almost) unlimited, NO-PREP, differentiated sets of Maths worksheets. At the click of a button all numbers (and visuals ) are randomized, creating a new worksheet with different numbers .... as many times as you want with answers automatically generated every time. Check out one of the Freebie samplers to see how they work.
(Almost) unlimited, NO-PREP, differentiated sets of Maths worksheets. At the click of a button all numbers (and visuals ) are randomized, creating a new worksheet with different numbers .... as many times as you want with answers automatically generated every time. Check out one of the Freebie samplers to see how they work.
An Interactive PDF Teaching Resource AND Dynamic PDF Worksheet
The minuends and subtrahends are randomised at the click of a button and you can choose from 6 ranges of numbers:
1- 10
1 - 20
1 - 50
1 - 100 in 10s
1 - 500 in 10s
1 -1000 in 10s
The Teaching Resource is designed to be used by teachers and pupils on an Interactive Whiteboard or on a PC/Mac computer for one-to-one tuition. Ideal as a warm up activity at the start of a lesson or game at the end.
The Dynamic PDF Worksheet provides 2 Subtraction Squares on one page, (again with randomisation of numbers in the same range as on the Teaching Resource), that you can print out for the pupils.
Answers are viewable for both the above resources.
A Help Guide and is included.
Note
*This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
This is one of 16 Sets of (almost) unlimited differentiated worksheets on dividing decimal numbers using the standard algorithm. In this Freebie sampler students get practice dividing of Hundreds to 2 decimal places by 1-digit whole numbers.
(Almost) Unlimited worksheets ?
Yes. At the click of a button all numbers are randomized, creating a new worksheet with different numbers, meaning you can use this one resource as many times as needed throughout the year to consolidate the skills and knowledge with a brand new worksheet every time.
No-Prep Worksheets
This is a straightforward no frills, no-prep, worksheet that require no extra preparation on your part. Simply CLICK-PRINT AND GO. Ideal to have printed and ready for a replacement teacher or end of lesson activity if needed.
Answers are automatically generated every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
When you download this Freebie you will also be able to see the Preview of the whole 16 Set Resource which can be found at:
Decimal Division - Standard Algorithm - Full Solutions
This is one worksheet from a of 8 Sets of (almost) unlimited differentiated worksheets covering addition and subtraction of 4 -Digit numbers using the standard algorithm.
In this sample worksheet, students will be able to practice adding 4 digit numbers with the question laid out in the vertical format ready to practice the calculation with regrouping.
(Almost) Unlimited worksheets ?
Yes. At the click of a button all numbers are randomized, meaning you can use this one resource as many times as needed throughout the year to consolidate the skills and knowledge needed at this level. You could even give every student their own unique set of questions !!
No-Prep Worksheets
Simply CLICK-PRINT AND GO. This is a no frills, no-prep, worksheet that requires no extra preparation on your part. Ideal to have printed and ready for a replacement teacher or end of lesson activity if needed.
Answers are automatically generated every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
When you download this Freebie you will also be able to see the Preview of the whole 8 Set Resource which can be found at:
https://www.tes.com/teaching-resource/add-and-subtract-4-digit-numbers-standard-algorithm-13004490
The Teaching Page when projected onto a screen or interactive whiteboard allows you to go through the standard algorithm for multiplication showing each step of the process to your class. Every time you press one of the randomising buttons it changes the 3 digit multiplicand. Each button represents a different multiplier from 2 to 9, so you have an endless set of examples to practice with.
The two printable Dynamic PDF Worksheets provide an (almost) infinite number of practice questions .
12 questions are laid out on the page. When any of the buttons (at the bottom of the page) is clicked all the 3 digit multiplicand will change.
On Worksheet 1 each button represents a different multiplier from 2 to 9 , so for example you can have a whole page of 3 digit numbers multiplied by 4, or 5 etc.
On Worksheet 2 each button represents a range of multipliers e.g. 3 to 6. Each row of questions will multiply the 3 digit number by a different number, first row by 3, second row by 4 etc.
Answers are generated automatically every time.
UK National Curriculum. Year 4 Programme of Study:
Number - Multiplication and Division.
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
Need to review multiplication of a 2 digit numbers by a 1 digit number ? Go [here]https://www.tes.com/teaching-resource/multiply-a-2-digit-number-by-a-1-digit-number-worksheets-12440654)
Need a similar set of free resources multiplying 4 digit by 1 digit numbers ? Leave a request in the Review section.
This resource has been expanded so there are now 2 Interactive Teaching Pages and 2 worksheets.
“Adding up to 5 with Jellyfish 1” introduces the concept of adding and the symbols + and = by first counting two sets of objects and then selecting the equivalent total.
The equation with numbers can then be revealed, one element at a time, and comparison between the two can be made.
“Adding up to 5 with Jellyfish 2” invites the pupils to complete the addition sum and if needed do a check through counting.
The 2 static worksheets cover most of the combinations of numbers that add up to 5 or less.
See the “HELP” Page for further guidance.
*Note
This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
An introduction into sharing with ratio using the bar model as an ideal visual aid.
Watch the video here for a quick tutorial on how to use these resources
There is a teaching resource designed to be used on an Interactive Whiteboard or on a PC or Mac for one-to-one tuition.
This is accompanied by a set of differentiated worksheets.
Pupils are asked to share a quantity in a given ratio. A bar of the correct number of parts is created and pupils can either color in the bar in the ratio given and / or calculate the amount to go in each part.
Another set of questions is based on being given the ratio & one of the final answers with the aim to find the initial quantity.
For added differentiation the totals to be shared are:
Level 1: Under 100
Level 2: to 1000 in multiples of 10
Level 3: to 1000
The Teaching Resources are interactive and the Worksheets are dynamic which means that at the click of a button the numbers in the questions are randomised. Answers are provided every time.
This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
For more information about teaching Ratio understanding
This "Dynamic PDF Worksheet " contains a mix of randomly generated addition and subtraction questions up to 20 , with pupils being asked to find the addend, minuend, subtrahend or sum. Answer are revealed at the click of a button. You can use this one page of exercises as many times as you need for classwork, homework or revision and the questions will change every time.
Click on the “HELP” button for further instructions.
Note
*This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
Year 3 programme of study - Number – number and place value - compare and order numbers up to 1000
Print out as many unique worksheets as you need choosing from five different ranges of numbers up to 1000. Your students will never run short of new worksheets to practice with.
Students are asked to compare a set of four 2-Digit numbers or four 3-Digit numbers and place them in order between inequality signs.
You can choose to order numbers in the range:
1 to 20
1 to 50
1 to 100
1 to 500
1 to 1000
This will give you a choice of differentiating from the very start.
How many worksheets are in each set ?
(Almost) Unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets for classwork, homework, revision, preparing for assessment, etc and the numbers will change every time.
Answers are automatically generated every time.
Digital Teaching Material
These are designed to help you introduce the content of the worksheets to the whole class on an Interactive Whiteboard, or on a PC or Mac for 1-1 tuition and again you have (almost) unlimited examples to practice with.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
Australian Curriculum - ACMNA013 - order numbers to at least 100
This set of resources covers addition and subtraction up to 1000 with the visual aid of dienes.
There are 8 sets of worksheets for both addition and subtraction, making 16 in total :
Addition
Worksheet 1 a & b. No exchange or regrouping .
Worksheet 2 a & b. Exchange of units (units add up to more than 10)
Worksheet 3 a & b. Exchange of 10s( 10s add up to more than 100)
Worksheet 4 a & b. Exchange of 10s and units, both 10s and units need regrouping.
At each level:
Worksheets a: * both numbers to be added are represented by numbers and dienes, so the dienes are essentially a support tool.
*- Worksheets b: *pupils have to deduce the two numbers to be added from the dienes blocks and then do the sum.
Subtraction
Worksheet 1 a & b No exchange, regrouping or borrowing .
Worksheet 2 a & b. Exchange 10 into ten units
Worksheet 3 a & b Exchange 100 into 10 tens
Worksheet 4 a & b. Exchange 10 into ten units and 100 into 10 tens
At each level:
Worksheets a: the first numbers is represented by a number and dienes, so the dienes are basically a support tool
Worksheets b: pupils have to deduce the first number from the dienes blocks and then do the subtraction.
The questions on each of the worksheets can be randomised at the click of a button, so the one resource can be used any number of times for classwork, revision, homework, assessments etc.
An answer sheet is produced every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
To get a more detailed view of these resources and to try out a limited version of one of the Worksheets go to PREVIEW: Addition & Subtraction to 1000 with Dienes
This "Dynamic PDF Worksheet " contains a mix of randomly generated addition and subtraction questions up to 10 , with pupils being asked to find the addend, minuend, subtrahend or sum. Answer are revealed at the click of a button. You can use this one page of exercises as many times as you need for classwork, homework or revision and the questions will change every time.
Click on the “HELP” button for further instructions.
Note
*This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
No frills set of worksheets for practicing addition and subtraction of big numbers from 5 digit numbers to 8 digit numbers, providing (almost) endless pages of questions.
The worksheets are divided into 2 formats:
Numbers arranged vertically for practicing the standard format.
Numbers arranged horizontally with space provided on the page to either practice laying out the question in the standard format or any other way.
Each format provides a page of additions with a mix of 5, 6, 7 & 8 digit numbers and the same for subtractions.
As always with these resources, the Worksheets are Dynamic. At the click of a button all the numbers are randomised. Because the numbers change each time you could create a different worksheet for classwork, homework, revision, assessments etc or even a different one for each pupil in your class
Answers are automatically generated every time.
Note
This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
UK National Curriculum. Year 5 Programme of Study
Number - Addition and Subtraction.
Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
To get a more detailed view of these resources and to try out a limited version of the Worksheets go to PREVIEW: Addition & Subtraction of 5 to 8 digit numbers
UK National Curriculum - Year 4 Programne of Study
Number and Place Value
Round any number to the nearest 10, 100 or 1000
Lots of opportunity to practice rounding whole numbers from 10 to 100,000 place value with (almost) unlimited Worksheets plus Digital Teaching Material for whole class teaching .
The resources are divided into two parts:
1. Using Place Value and the Number Line to round to the nearest 10, 100 or 1000
**Worksheet Sets **
Each page has 4 number lines with 4 numbers to round. The first Number Line is fully labeled with 10 divisions between each multiple of 10, 100 or 1000 providing maximum visual support. But the number of divisions reduces until the 4th Number Line which is minimally labeled, so that students then have to think more about scales and the rounding process.
At each of the 4 levels you have a choice of generating a worksheet with the question being placed in size order from left to right, or randomly placed in relation to the number line.
How Many Worksheets are in each Set ?
(Almost) Unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets within each set as you want for classwork, homework, revision or to practice with at any time during the year.
Digital Teaching Material with the Number Line
These are designed to help you introduce the content of the worksheets to the whole class on an Interactive Whiteboard, or on a PC or Mac for 1-1 tuition and again you have (almost) unlimited examples to practice with.
2. Rounding using Place Value to the nearest 10, 100, 1000, 10,000 and 100,000
There is a Worksheet set for each level plus one with a mix of all the levels.There are 30 questions on each page with an example at the top of the page. At a click of a button all the numbers in the questions and the example change, which means you have again an (almost) unlimited source of worksheets or even examples to go through with your pupils. Your students will never run short of new worksheets to practice with.
On both Worksheet Sets Answers are automatically generated every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
A bundle of resources to learn and practice reading Roman numerals and converting between Roman Numerals and numbers.
You have 4 levels to choose from with number ranges
1-20
10-100
100-1000
1000-3999
The Worksheets are dynamic which means that at the click of a button the numbers in the questions are randomised providing an (almost) unending set of questions.
Worksheet 1
Convert Numbers to Roman Numerals at the 4 levels listed above.
Worksheet 2
Convert Roman Numerals to Numbers at the 4 levels listed above.
The Teaching Resources are interactive which means that at the click of a button the numbers in the questions are randomised providing an (almost) unending set of examples.
They are designed as a whole class for use with an Interactive Whiteboard or on a computer for one to one tuition. Ideal for introducing this topic and a preparation for the Worksheets.
Teaching Page 1
Convert Numbers to Roman Numerals at the 4 levels listed above.
Teaching Page 2
Convert Roman Numerals to Numbers at the 4 levels listed above.
To get a more detailed view of these resources and to try out a limited version of a Worksheet go to PREVIEW: Roman Numerals
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
UK National Curriculum.
Year 5 Programme of Study Number.
Number and Place value.
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.
Percentage Bar Graphs provide visual support to help introduce percentages in an informal way by building on the equivalence of 50%, 25% & 75% and their fractions 1/2, 1/4 & 3/4 plus the knowledge that 10% =1/10 and 1/10th of any multiple of 10 or 100 can easily be found by removing the last zero of the number.
From this starting point pupils can then proceed to calculate multiples of 5% or 1% of quantities.
The Worksheets and Teaching Pages are set at 5 levels
10%, 25%, 50%, & 75% of multiples of 100
10%,20%,30% …90%, of multiples of 10
10%,20%,30% …90% of multiples of 100
5%,10%,15% … 95% of multiples of 10
Any percentage of multiples of 100
Answers will always be whole numbers.
The Worksheets are Dynamic and the Teaching Pages Interactive so that at the click of a button the percentages and quantities are randomised providing endless opportunities to practice at each and every level.
To get a more detailed view of these resources and to try out a limited version of the Worksheets go to PREVIEW: Introducing Percentages with Visual Support
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
These resources have been created with a differentiated approach in mind, so for example, pupils can begin by practicing skip counting with 5 up to 100 then at a suitable pace go all the way up to the Challenge Worksheets that mixes questions with skipping 5, 10 & 100 with sequences that start at any number and go all the way to 1000.
There are** 17 Sets of Worksheets ** (and 17 Teaching Pages) covering this topic
Content
Worksheets + Sequence of numbers starts with a …
Worksheet 1. Skip Counting by 5s to 100 multiples of 5
Worksheet 2. Skip Counting by 5s to 500. multiples of 5
Worksheet 3. Skip Counting by 5s to 1000 multiples of 5
Worksheet 4. Skip Counting by 5s to 100. random starting point
Worksheet 5. Skip Counting by 5s to 500. random starting point
Worksheet 6. Skip Counting by 5s to 1000 random starting point
Worksheet 7. Skip Counting by 10s to 200. multiples of 10
Worksheet 8. Skip Counting by 10s to 500 multiples of 10
Worksheet 9… Skip Counting by 10s to 1000. multiples of 10
Worksheet 10. Skip Counting by 10s to 200. random starting point
Worksheet 11. Skip Counting by 10s to 500. random starting point
Worksheet 12. Skip Counting by 10s to 1000. random starting point
Worksheet 13. Skip Counting by 100s to 1000 multiples of 10
Worksheet 14. Skip Counting by 100s to 1000 random starting point
Challenge 1. Skip Counting by 5s, 10s & 100s to 1000 multiples of 10
Challenge 2. Skip Counting by 5s, 10s & 100s to 1000. random starting point
Challenge 3. Skip Counting by 5s, 10s & 100s to 1000 random starting point and skipping randomised
How many worksheets are in each set ?
Almost unlimited. At the click of a button all numbers are randomised, so the questions change every time which allows you to create new worksheets for extra practice or revision throughout the year or even give groups of pupils in your class different sets of questions.
Answers are automatically generated every time a new worksheet is created.
The Teaching Pages, designed for the Interactive Whiteboard for whole class learning follow the same pattern as the Worksheets, and like the Worksheets the numbers can be randomised at the click of a button which means there are lots of examples you can play with.
To get a more detailed view of these resources and to try out a limited version of the Worksheets / Teaching Page go to PREVIEW: Skip Counting by 5, 10 & 100 to 1000
Note
This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
An open number line is a very flexible and versatile tool for helping with adding and subtracting within 1000. It provides visual support allowing students to use or develop their knowledge of place value and rounding in an informal setting.
The worksheets are split into 11 levels of differentiation for both Addition and Subtraction. They start with a 3-digit number plus or minus 100 then progress in steps until both numbers are randomly generated 3-digit numbers. At each level you have an (almost) unlimited number of printable worksheets that could be used throughout the year.
1st number - 3 digits, 2nd number - 100
1st number - 3 digits, 2nd number between 95 and 105
1st number - 3 digits, 2nd number between 90 and 110
1st number - 3 digits multiple of 10, 2nd number - 100 +/ - a multiple of 10 between 10 & 50
1st number - 3 digits, 2nd number - 100 +/ - a multiple of 10 between 10 and 50
1st number - 3 digits, 2nd number - multiple of 100
1st number - 3 digits, 2nd number - multiple of 100 +/ - 5
1st number - 3 digits, 2nd number - multiple of 100 +/ - 10
1st number - 3 digits multiple of 10, 2nd number - multiple of 100 +/ - a multiple of 10 between 10 & 50
1st number - 3 digits multiple of 10, 2nd number - multiple of 100 +/ - a multiple of 10 between 10 & 50
1st & 2nd numbers both 3 digits
An example of the specific level being worked on is generated at the top of each worksheet at the click of a button. Besides being a memory jogger for students, it could be used to introduce the assignment when projected onto an Interactive whiteboard.
Why (almost) Unlimited Worksheets ?
At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets for classwork, homework, review, preparing for assessments, or just simply practice at any time to keep the skill alive throughout the whole year.
Your students will never run short of new worksheets to practice with.
Full graphical solutions are provided for all worksheets
Note
This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.
A no frills set of (almost) unlimited differentiated worksheets for practicing addition and subtraction of two decimals numbers to the tenths, hundredths or thousandths using the standard algorithm.
Each worksheet has 12 questions laid out in the vertical format. They are divided into 18 sets:
Sets 1 to 9 - Addition and Subtraction
Units to 1 dp
Units to 2dp
Units to 3dp
Tens to 1dp
Tens to 2dp
Tens to 3dp
Hundreds to 1dp
Hundreds to 2 dp
Hundreds to 3dp
Sets 10 to 12 - Addition of 3 decimal numbers
Units to 1dp
Tens to 2dp
Hundreds to 3dp
Sets 13 to 15 - Addition of 4 decimal numbers
Units to 1dp
Tens to 2dp
Hundreds to 3dp
Sets 16 to 18 - Addition of 2 decimal numbers - find the missing digits
Units to 1dp
Tens to 2dp
Hundreds to 3dp
Why (almost) Unlimited Worksheets ?
At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets as you need for classwork, homework, review, preparing for assessments, or just simply practice at any time to keep the skill alive throughout the whole year.
No-Prep Worksheets
These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed.
Answers are automatically generated every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
This set of (almost) unlimited Worksheets provides practice with adding and subtracting with 4 digit, 5 digit and a mix of 3,4 & 5 digit numbers with the numbers ready laid out in columns in order to use the standard algorithm.
Why (almost) Unlimited Worksheets ?
There are 6 basic differentiated templates, BUT, at the click of a button all numbers are randomised, and will therefore change every time so you can create as many different worksheets for classwork, homework, review, preparing for assessments, or just simply practice at any time to keep the skill alive throughout the whole year.
Answers are automatically generated every time.
UK National Curriculum
Year 4 Programme of Study
Addition and Subtraction
Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
Students compare two 3-Digit, 4-Digit, 5-Digit or 6-Digit numbers based on the meaning of the digits in each place within the number using the symbols <, =, or >.
Students must first indicate which digit in each number is determining their choice of <, = or >.
For each of the 4 sets of worksheets ( 3-Digit, 4-Digit, 5-Digit or 6-Digit numbers) there are 3 choices of presentation:
Numbers color coded to help with comparing the same size numbers (100s, 1000s etc) and are shown in a Place Value Table.
Numbers in a Place Value Table (no color coding).
Numbers without Place Value Table.
This will give you a choice of differentiating from the very start.
How many worksheets are in each set ?
Almost Unlimited. At the click of a button all numbers are randomised, so you can create as many different worksheets as you need for classwork, homework, revision, preparing for assessment, fillers etc and the numbers will change every time.
Your students will never run short of new worksheets to practice with.
Answers are automatically generated every time.
Note
These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.
Help your students to mentally add and subtract multiples of 10 and multiples of 100 from a number between 100-900 using the visual support of a Number Line with NO PREP CLICK-PRINT-and- GO sets of Worksheets and Digital Teaching Resources .
There are 3 sets of worksheets. Within the 3 sets, the worksheets are differentiated at 3 levels with the worksheets having almost unlimited questions.
**Worksheets 1,2 & 3. Add and Subtract Multiples of 10 **
Addition
Worksheet 1: First addend is a multiple of 10. Number line starts with a multiple of 100.
Worksheet 2: First addend is from 100 to 900. Number line starts with a multiple of 100.
Worksheet 3: First addend is from 100 to 900. Number line starts with a multiple of 10.
Subtraction
Worksheet 1: The minuend is a multiple of 10. Number line starts with a multiple of 100.
Worksheet 2: The minuend lies between 100 and 900. Number line starts with a multiple of 100.
Worksheet 3: The minuend lies between 100 and 900. Number line starts with a multiple of 10.
Worksheet 4 & 5. Add and Subtract Multiples of 100
Number line - Multiples of 100 from 100 to 900 with subdivisions of 10
Worksheet 4: First Addend (addition) / Minuend (subtraction) are multiple of 10
Worksheet 5: First Addend (addition) / Minuend (subtraction) lies between 100 and 900
Worksheet 6,7 & 8. Add and Subtract Multiples of 10 CHALLENGES
Worksheet 6: Number line starts with a multiple of 100. First Addend / Minuend is a multiple of 10.
Worksheet 7: Number line starts with a multiple of 100. First Addend / Minuend lies between 100 and 900
Worksheet 8: Number line starts with a multiple of 10. First Addend / Minuend lies between 100 and 900
Worksheet 9 and 10. Add and Subtract Multiples of 100 CHALLENGES
Number line - Multiples of 100 from 100 to 900 with subdivisions of 10
Worksheet 9: First Addend / Minuend is a multiple of 10.
Worksheet 10: First Addend / Minuend lies between 100 and 900.
Worksheet 11 to 13. EXTRA - Add and Subtract Multiples of 10 to 10,000
Worksheet 11: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 100.
Worksheet 12: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 10.
Worksheet 13: The number line starts with a multiple of 100. First Addend / Minuend is a multiple of 10.
Worksheet 14 to 16. EXTRA CHALLENGE - Add and Subtract Multiples of 10 to 10,000
Worksheet 14: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 100.
Worksheet 15: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 10.
Worksheet 16: Nnumber line starts with a multiple of 100. First Addend / Minuend is a multiple of 10.
CHALLENGES ?
Students are now asked to find either the first or second addend for the addition questions, and either the minuend or subtrahend for the subtraction questions .