problem solving maths cards

Open-Ended Maths Problems Task Cards

Add to calendar, add to favourites, description.

Are you looking to extend your students’ mathematical thinking? Are you seeking ways to apply maths concepts you have taught engagingly and authentically? Are you after easy yet effective ways to differentiate and assess mathematical understandings? If so, these open-ended maths task cards are the perfect resource for your class.  

With 24 open-ended problems across a range of mathematics content areas, this set of cards challenges students to flexibly combine and apply a range of mathematical skills, with the opportunity to demonstrate multiple answers.

These task cards can be used for independent or guided practice. Selected cards can be used as formative assessment tools within focused units, or the set can be used throughout the year to continue to consolidate prior learning, regardless of your classroom’s current topic.

Designed with four problems per page and with the option of colour or black and white cards, simply print, cut and distribute to students. (They can also be laminated to be used again and again with different students).

Ensure your students get the most out of these challenges and know how to show their best thinking with our Solving Open-Ended Problems PowerPoint. Or you can have all the open-ended challenges in one place in our Open-Ended Maths Problems Booklet.

Additional information

Related products

• Safe Places, Safe Adults Board Game
• Pom Pom Painting
• Digital & Print Layout Features Scavenger Hunt
• Partitioning 10 & Teen Numbers
• Troves of Treasure to 10: Partitioning Sums
• Finish the Decodable CVC Sentence Worksheets

Australian Curriculum V9

Lorem ipsum dolor sit amet, consectetur adipiscing elit.

Lorem ipsum/ Lorem ipsum/ Lorem ipsum

Email Address

Remember Me

Out of Credits

Looks like you’re out of credits.

Create an account

Reset password, item added to your cart.

0 items in the cart ( $ 0.00 )

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Maths Challenge Cards

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

23 August 2022

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Maths challenge cards covering a wide range of mathematical problems designed to improve problem solving strategies as well as numeracy and mathematical ability.

Designed to be printed, laminated and reused.

Disclaimer: These are free because the problems are from a wide variety of sources, most of which I have forgotten. I am a maths problem magpie and collect maths problems wherever I find them. All I have done is bundled these ones up to make it convienent.

If you find a problem that is yours and you don’t want it used please comment and I’ll remove it - cheers.

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Good mix of problem solving questions to challenge my students. Excellent!

Empty reply does not make any sense for the end user

Perfect independent extension activities for my more ables, thanks!

Anon63892650132047740

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Cookie Consent

We use cookies to help provide a better website experience for you, and help us to understand how people use our website. Our partners will also collect data and use cookies for ad personalisation and measurement.

Clicking "Accept" will allow us and our partners to use cookies, learn more in our cookie policy or to change your cookie preferences, click "Manage".

To find out more about cookies and the types of cookies we are setting please visit our cookie policy .

If you'd prefer that certain types of cookie are not saved on your browser when visiting our website, use the toggles below to adjust those preferences and click "Save choices".

Strictly Necessary

These cookies are necessary for the website to function and without them you would not be able to reliably use the website. For example, logging into your account or completing forms.

Analytics Cookies

A series of cookies that collect anonymised data on how users interact with our website. This anonymous data helps us improve the website with a focus on its users, for example, ensuring the most popular content is easier to access.

View associated providers +

Marketing Cookies

These cookies track your online activity to help advertisers deliver more relevant and personalised advertising or to limit how many times you see an ad. These cookies can share that information with other organisations or advertisers.

Or search by topic

Number and algebra.

• Place value and the number system
• Fractions, decimals, percentages, ratio and proportion
• Calculations and numerical methods
• Algebraic expressions, equations and formulae
• Coordinates, functions and graphs
• Patterns, sequences and structure
• Properties of numbers

Geometry and measure

• 3D geometry, shape and space
• Transformations and constructions
• Vectors and matrices
• Measuring and calculating with units
• Pythagoras and trigonometry
• Angles, polygons, and geometrical proof

Probability and statistics

• Handling, processing and representing data
• Probability (spec_group)

Working mathematically

• Thinking mathematically
• Mathematical mindsets

Advanced mathematics

• Decision mathematics and combinatorics
• Advanced probability and statistics

For younger learners

• Early years foundation stage

Problem Solving

Problem solving and the new curriculum

Developing a classroom culture that supports a problem-solving approach to mathematics

Developing excellence in problem solving with young learners

Using NRICH Tasks to Develop Key Problem-solving Skills

Trial and Improvement at KS1

Trial and Improvement at KS2

Working Systematically - Primary teachers

Number Patterns

Working Backwards at KS1

Working Backwards at KS2

Visualising at KS1 - Primary teachers

Visualising at KS2 - Primary teachers

Conjecturing and Generalising at KS1 - Primary teachers

Conjecturing and Generalising at KS2 - Primary teachers

• 0 Your cart is currently empty.
• Boxed Resources
• Mathematics
• Year 1 / Primary 2
• Year 2 / Primary 3
• Year 3 / Primary 4
• Year 4 / Primary 5
• Year 5 / Primary 6
• Year 6 / Primary 7

Problem-solving Strategies and Skills - Maths Cards

The Problem-Solving Strategies and Skills - Maths Cards provide a wide variety of motivating and high-interest problem-solving activities.

There are three boxes for each year group, Year 1 to Year 6, comprising of:

• 30 Number and Algebra cards, plus answers
• 30 Measurement and Geometry cards, plus answers
• 30 Statistics and Chance cards, plus answers

The front of each card has a mathematics word problem for pupils to solve and the reverse of each card has an extension activity for more able pupils. The problems involve one or several steps, require the use of a variety of strategies and skills and are supported by colourful artwork.

• excellent resources to support problem-solving, an essential component of the maths curriculum;
• varied, real-life and challenging problems;
• activities that enable pupils to practise maths concepts
• taught in class through problems; and
• extension problems on the reverse of each card to stretch
• the problem-solving skills of more able pupils.

Download a free sample

Books in this series:

• Our History
• International Curriculum
• Max Computing
• Curriculum Mapping Documents
• Our Brochures
• Online Training

Download your free 2023-2024 catalogue here

• Follow us on
• Search for:

Macmillan Maths: Problem Solving Boxes

Our problem-solving boxes are designed to take learners on a creative journey! Students are encouraged to use real contexts to apply the mathematics they have learned in lessons. Presented in a flexible, supplementary format, they are an easy, out-of-the box resource that are perfect for immediate lessons. The problem-solving boxes challenge students to think deeply and laterally to develop a full understanding and firm grasp of mathematical concepts and include extension activities for high achievers.

At a glance

• Each box contains 150 enticing cards to develop and strengthen problem-solving strategies across number and algebra, measurement and geometry and statistics and probability
• The digital offering provides ISWB-friendly PDFs of all cards and blank card templates, a teaching guide, assessment guidelines and rubric, posters, record sheets, answers and index

About the series

• Presented in a flexible, supplementary format
• easy, out-of-the-box resource for additional practice
• challenges students to develop a full understanding and firm grasp of mathematical concepts

Download our Problem Solving Brochure

• © 2018-2023 Macmillan Education Limited
• Terms of Use
• Cookie Policy
• Privacy Policy

• Rating Count
• Price (Ascending)
• Price (Descending)
• Most Recent

Maths problem solving cards

Resource type.

Table Talk Math Problem Solving Discussion Cards

Balancing Equations Problem Solving Task Cards - Math Challenge Activity

Ratios and Proportions 6th Grade Math Task Cards Activity and Problem Solving

Customary Measurement Conversions 5th, 6th Grade Math Task Cards Problem Solving

3rd Grade Math Test Prep Review Problem Solving Task Cards TEKS 3.2A 3.4A 3.4K

Kindergarten Problem Solving Math Journal Prompts - Task Cards - Word Problems

4th Grade Area and Perimeter Problem Solving Task Cards Math Center Activity

Fourth Grade Math Word Problem Solving Task Cards | Year Long BUNDLE

Math Problem Solving Task Cards - 7 Problem Solving Strategies for Grades 3 - 4

Fraction Operations 5th, 6th Grade Math Task Cards Activity and Problem Solving

Decimal Operations 5th, 6th Grade Math Task Cards Activity and Problem Solving

Real World Problem Solving in Math Task Cards Math Station

4th Grade Adding Angles Task Cards Problem Solving Math Center Angle Activity

4th Grade Addition & Subtraction Word Problem Solving Math Task Cards

Math Task Card Bundle: Place Value, Problem Solving , Fractions, and More!

3rd Grade Perimeter Problem Solving Task Cards - Perimeter Math Center

150+ Math Open Ended Real Life Problem Solving cards NO PREP!

Hockey Math Problem Solving Task Cards and Close Reading

FREE Math Problem Solving Addition Subtraction Task Cards

3rd Grade Math Task Cards Florida B.E.S.T. Standards Problem Solving MA.3.AR.1.2

Match Stick Maths Problem Solving Task Cards – Grade 5 and 6 Extension Activity

Math Challenges - Algebraic Reasoning "Bubbles" Problem Solving Task Cards

Common Core Math Task Cards - Multistep Problem Solving CCSS 4.OA.A.3

Kansas Day Math Problem Solving Task Cards Scoot FUN!!

• We're hiring
• Help & FAQ
• Privacy policy
• Student privacy
• Terms of service
• Tell us what you think

Problem of the Week

The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to educators for use with their students from Grades 3  to 12. The problems vary in difficulty and cover a wide range of mathematical concepts, making it an excellent tool for both learning and enrichment. 

Problem of the Week has wrapped up for the 2023-2024 school year. Below you can find all problems and solutions that were sent. Problem of the Week will resume in September 2024.

Below you will find the weekly problem across five grade levels.

• Grades 11/12

Gathering Treasure

Subscribe now.

Sign up to receive Problem of the Week straight in your inbox. New problems are sent every Thursday, and their solutions are sent one week later. 

Problems and Solutions from 2024/2025 

Below you will find problems from previous week(s).  

Problem and Solution Archive from 2023/2024, 2022/2023

Visit the archive page to access links to booklets containing all the problems and solutions from the last two years. The problems are organized into themes, grouping problems into various areas of the curriculum.  

Information for educators

Problems are organized into five themes: Algebra (A), Computational Thinking (C), Data Management (D), Geometry and Measurement (G), Number Sense (N). A problem may have more than one theme.

These problems may be used in a variety of different ways including:

• posting the problems in a classroom,
• discussing the problems with students, and
• integrating the problems into their lessons.

We know that educators will use these problems in many creative ways!

Solutions will be sent out to educators one week after the problems are e-mailed. 

Articles Blog

Upstudy camera math solver: revolutionizing derivative and integral problem-solving.

Mathematics is a subject that often challenges students across the globe. Among its many branches, calculus, especially derivatives and integrals, tends to be particularly daunting for learners. Traditional approaches to mastering these concepts usually involve hours of study, practice, and sometimes even additional tutoring. However, with the advancement of technology, learning math has become more accessible and engaging. One such innovation making waves in the educational tech landscape is the UpStudy Camera Math Solver . This powerful tool not only assists students in solving derivative and integral problems but also helps them understand the step-by-step process involved.

The Rise of AI-Powered Math Solvers

In recent years, AI-driven math solvers have transformed how students approach mathematical problems. Instead of manually working through complex equations, students can now simply snap a picture of the problem and receive instant solutions. The UpStudy Camera Math Solver is at the forefront of this trend. It offers a user-friendly interface combined with advanced mathematical algorithms, making it a go-to resource for students, educators, and even professionals.

What is the UpStudy Camera Math Solver?

The UpStudy Camera Math Solver is an app designed to assist with a wide range of mathematical problems, particularly those involving derivatives and integrals. What sets it apart from other math solvers is its ability to recognize handwritten or printed equations through a simple photo capture. The app then processes the problem and provides not only the solution but also a detailed breakdown of each step.

Key Features of the UpStudy Camera Math Solver

• Camera-Based Equation Recognition : The app’s primary feature allows users to snap a picture of any mathematical equation, whether it’s written on paper, a whiteboard, or even a textbook. The advanced recognition technology accurately identifies symbols, variables, and complex functions.
• Step-by-Step Solutions : Understanding how to reach the final answer is just as important as finding the solution itself. UpStudy excels in this area by breaking down each step of the problem-solving process, providing explanations that help students grasp the concepts involved in derivatives and integrals.
• Comprehensive Problem Coverage : The UpStudy solver covers a broad range of calculus problems, from basic differentiation and integration to more advanced techniques like chain rule, product rule, and integration by parts.

How the UpStudy Solver Simplifies Derivatives

Derivatives form the foundation of calculus and are crucial in understanding rates of change, slopes of curves, and optimization problems. The UpStudy Camera Math Solver simplifies the process of finding UpStudy Derivative Solver by offering:

• Automatic Differentiation : Users can take photos of complex functions, and the app automatically computes the derivative.
• Detailed Explanations : The solver provides clear and structured explanations for rules like the power rule, chain rule, and quotient rule.
• Application of Concepts : By showing step-by-step solutions, students can see how derivative rules apply in different contexts, enhancing their overall understanding.

Mastering Integrals with UpStudy

Integrals can be challenging due to the variety of techniques involved in solving them, such as substitution, integration by parts, and partial fractions. The UpStudy Integral Solver demystifies by:

• Offering Multiple Solution Paths : For complex integrals, the app may provide different methods of solving the problem, allowing students to explore various approaches.
• Step-by-Step Decomposition : The solver breaks down the integral-solving process into manageable steps, ensuring that students understand each part of the solution.
• Real-World Applications : By integrating graphing and visualization tools, the app connects integral concepts to real-world scenarios, making the learning process more relatable and engaging.

Conclusion: A Game-Changer for Calculus Students

The UpStudy Camera Math Solver is more than just a tool for finding answers—it’s a comprehensive learning resource that empowers students to master derivatives and integrals. By combining AI-driven problem-solving with intuitive explanations and interactive features, the app is transforming the way calculus is taught and learned. As educational technology continues to evolve, tools like UpStudy are leading the charge in making math more accessible, understandable, and even enjoyable.

Related Posts

Exploring egypt’s timeless wonders: a guide to nile cruises.

Introduction Few experiences can match the allure and mystique of a Nile River cruise in Egypt. This voyage is not just a journey along the world’s longest…

Discovering the Nile: A Journey of Luxury and History

Introduction Embarking on a luxury Nile cruise is more than just a vacation; it is an exploration of one of the world’s most storied rivers, a journey…

Best Programming Language to Learn in the Digital Age

In today’s rapidly evolving digital landscape, the choice of the best programming language to learn is crucial for both aspiring and seasoned developers. As technology continues to…

What can you teach with a PTLLS qualification?

The PTLLS qualification was one of the foundation teaching qualifications in the UK to get entry-level teaching roles. However, PTLLS qualification is no longer available as the…

Health Insurance For Expats: What You Need To Know

Embarking on an expat adventure is undeniably exciting, offering opportunities for personal and professional growth. However, it’s essential to sort your health and well-being amidst the excitement….

Should You Use Venmo or PayPal to Collect  Rent? 

Using PayPal or Venmo for Rent Collection — Is it a Good Idea?  As time passes and technology improves, our society moves further toward cashless payments for …

Teach Starter, part of Tes Teach Starter, part of Tes

Search  everything  in all resources

Open-ended Maths Problem Solving Cards - Middle Primary

Updated:  26 Mar 2018

A set of 20 open-ended problem solving cards covering a range of mathematical concepts.

Non-Editable:  PDF

Pages:  20 Pages

Years:  3 - 4

• Adobe Reader (pdf) Sign up to Plus
• Black and White (pdf) Sign up to Plus

These open-ended problem solving cards will promote deep, thoughtful and creative responses from your students. More than one answer is acceptable; exploring possibilities is encouraged. The problems cover a range of mathematical concepts, such as number, space, measurement, chance and data.

Use these problem solving cards at the beginning of your lesson, as a group activity or as an enrichment task for early finishers.

Teach Starter Publishing

We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

Suggest a Change

Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.

Report an Error

Did you spot an error on this resource? Please let us know and we will fix it shortly.

Are you having trouble downloading or viewing this resource? Please try the following steps:

• Check that you are logged in to your account
• For premium resources, check that you have a paid subscription
• Check that you have installed Adobe Reader ( download here )

If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .

You may also like

• Word Problems →
• Homework Basket Activities →
• Open-Ended Tasks →
• Task Cards →

Random Numbers MAB Flashcards 100-10000

A set of 40 MAB flashcards of random numbers between 100 and 10000.

Place Value Cards - 10 000, 1000, 100, 10, 1

A set of place value cards to help students explore and expand larger numbers.

Percy's Place Value Puzzle

A worksheet to use to consolidate student understanding of place value to the thousands.

Identifying and Naming Angles – Cut-and-Paste Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

Piggy Bank Pigs - Australian Coins

Piggy Bank Pigs are a fun, hands on way for students to learn each of the coins and how their values add up to a certain amount.

Desk Plate Alphabet and Number Line - Butterflies and Lady Bugs

Lower Grade Desk Plates with the alphabet, number line and student's name on them.

Area of 2D Shapes Posters

Area of 2D Shapes - so many rules and formulas to remember!

Location Maths Investigation - Blackbeard's Bounty

A mathematics investigation about location, embedded in a real-world context.

Area And Perimeter Task Cards

Use these area and perimeter task cards in your maths lessons to give your students practice solving real-world word problems.

Identifying Numbers PowerPoint

A 14 page editable PowerPoint presentation to use when teaching number recognition to younger students.