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Problem-solving maths investigations for year 1.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 1 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 1 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 1:

  • Individually, they are incorporated into every unit in our Year 1 flexible maths blocks .
  • Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 1 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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Reasoning/Problem Solving Maths Worksheets for Year 1 (age 5-6)

Reasoning about number, sorting and counting.

To build on the work done in Early Years children need to sort groups in various ways before counting the objects within the groups.

Preview of worksheet How many in the picture? (1)

Counting a variety of things.

Preview of worksheet How many in the picture? (2)

Sorting and counting activities.

Preview of worksheet How many in the picture? (3)

Sorting and counting activities (3)

Preview of worksheet How many in the picture (4)

How many flowers, balls etc can you see in the picture?

Preview of worksheet How many in the picture (5)

How many boats, trains, bikes and buses can you see in the picture?

Preview of worksheet How have the objects been sorted? (1)

Looking for similarities in groups of sorted objects.

Preview of worksheet How have the objects been sorted? (2)

Explaining the criteria for sorting into groups - there may be more than one possible answer.

Preview of worksheet Sorting into groups (2)

Guess how many objects and then count to see how accurate you are!

Preview of worksheet Sorting objects into groups (fruit)

Sorting a variety of fruit into groups.

Preview of worksheet Sort objects into groups (various objects)

Sorting a variety of objects into groups.

Preview of worksheet Reasoning: counting to ten forwards and backwards

Explaining answers: counting forwards and backwards.

Making number sentences and using number cards

Children will be asked to find different ways of making numbers using addition and subtraction. Number cards are an excellent resource in the classroom for this type of activity.

Preview of worksheet Make 3: number sentences

Use number cards to find different ways of making 3.

Preview of worksheet Make 4: number sentences

How many ways can you make 4 using the cards shown?

Preview of worksheet Make 5 number sentences

How many ways can you make 5 using the numbers and signs?

Preview of worksheet Make 6: number sentences

Use number cards to find different ways of making 6.

Preview of worksheet Make 8: number sentences

How many ways can you make 8 using the numbers on the cards?

Preview of worksheet Make 7

How many ways can you add 2 numbers to make 7?

Preview of worksheet Number cards 1

Use cards to make numbers.

Preview of worksheet Number cards 2

Use cards to make numbers, including zero.

Reasoning about money

Using coins is a great way to explore different ways of making amounts. The later pages on shopping require logical thinking and children should be able to explain verbally or on paper how they reached their answers.

Preview of worksheet Costs 8p challenge

How many ways can you pay 8p?

Preview of worksheet Ragdoll for 9p

What coins could you use to buy the ragdoll?

Preview of worksheet Shape and money challenge

What shapes can you buy for 10p? Costs according to the number of sides the shape has.

Preview of worksheet Reasoning: shopping two of a kind (1)

Solving 2-step problems with money up to 10p.

Preview of worksheet Reasoning: shopping two of a kind (2)

2-step money problems.

Preview of worksheet Reasoning: shopping two of a kind (3)

More shopping: 2-step problems with whole pounds.

Preview of worksheet Spending 10p

Simple reasoning with small amounts of money.

Preview of worksheet Number bonds: 10p to spend

Reasoning skills with small amounts of money.

Reasoning about addition and subtraction

Plenty of opportunity to select numbers and add and subtract to reach totals. Finding all the possible combinations can be an important part of these activities.

Preview of worksheet Problem solving: addition and subtraction (1)

A first look at word problems needing addition or subtraction to solve.

Preview of worksheet Problem solving addition and subtraction (2)

More problem solving where addition or subtraction is needed.

Preview of worksheet How many ways to make a number

Sharks know that there's more than one way to catch a fish. And there's usually lots of ways to make a total by adding two numbers.

Preview of worksheet How many ways (harder)

'How many ways?' investigation using 7, 8 and 9.

Preview of worksheet Add pairs

How many different answers can you get?

Preview of worksheet Bull's eye

Three darts to score on the board. Good adding up revision.

Preview of worksheet 3 years older.

A little age problem.

Preview of worksheet Hexagon subtraction challenge

Make subtraction sentences using the numbers around the hexagon.

Preview of worksheet It all adds up

Put the numbers 1, 2, 3, 4 and 5 onto the grid so that both lines add up to the same total. How many ways?

Preview of worksheet Triangle make 9

Can you put the numbers in the circles so that each side of the triangle adds up to 9?

Preview of worksheet Add 3 numbers

Pick three numbers from those shown and add them. How many different additions can you find?

Preview of worksheet Reasoning; missing symbols

Completing missing symbols in number sentences.

Preview of worksheet Reasoning: more or less

Completing number sentences using more and less than.

Preview of worksheet Reasoning: continue the pattern

Completing simple number patterns.

More reasoning activities

More activities to challenge children’s reasoning and logical thinking. Plenty of, 'How many ways ....' activities.

Preview of worksheet Cubes in one hand

Find how many cubes can be held in one hand and record data collected in a table.

Preview of worksheet Ice lollies

How many different ways can the ice lolly be coloured, using just two colours?

Preview of worksheet Boxes and cubes

How many different ways can you put the cubes in the boxes?

Preview of worksheet 5 Rectangles

How many rectangles can be made?

Preview of worksheet 9 tile challenge

How many ways can the 9 tiles be put together to make a square?

Preview of worksheet Four triangles

How many ways can I join 4 triangles to make other shapes?

Preview of worksheet Make four numbers

Make four 2-digit numbers from just two 1-digit numbers.

Preview of worksheet Make a difference of more than 1.

Put the numbers into the grid so that there is always a difference of more than one.

Preview of worksheet Bus stop routes

Find and describe routes to the bus stop.

Preview of worksheet Abacus challenge

How many numbers can you make with 6 beads on the abacus?

Preview of worksheet Caterpillar challenge

How many different routes are there from head to tail? Great logical thinking challenge.

Preview of worksheet More Caterpillar Counting

Fun counting challenge which encourages logical thinking.

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Free Printable Math Word Problems Worksheets for 1st Year

Math Word Problems: Discover a collection of free printable worksheets for Year 1 students, created by Quizizz, to enhance their problem-solving skills and mathematical understanding.

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Math Word Problems - Printable Math-word-problems Worksheets Year 1 - Quizizz

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Explore printable Math Word Problems worksheets for 1st Year

Math Word Problems worksheets for Year 1 are an essential tool for teachers to help their students develop strong foundational skills in mathematics. These worksheets provide a variety of engaging and challenging problems that cater to the unique learning needs of first-grade students. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are exposed to a wide range of mathematical concepts, such as addition, subtraction, counting, and more. Furthermore, these worksheets are designed to be both fun and educational, keeping students interested and motivated to learn. With the help of Math Word Problems worksheets for Year 1, teachers can effectively guide their students on the path to mathematical success.

Quizizz is an excellent platform that offers a variety of resources, including Math Word Problems worksheets for Year 1, to support teachers in their quest to provide engaging and effective math instruction. In addition to worksheets, Quizizz also offers interactive quizzes, games, and other activities that can be easily integrated into lesson plans to create a dynamic and interactive learning environment. Teachers can utilize Quizizz's extensive library of resources to customize their lessons and address the specific needs of their students. By incorporating Quizizz into their teaching strategies, educators can ensure that their first-grade students receive a well-rounded and comprehensive math education that sets them up for success in future grades.

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Problem Solving

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Addition and Subtraction Word Problems- Year 1- DIFFERENTIATED

Addition and Subtraction Word Problems- Year 1- DIFFERENTIATED

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

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22 February 2018

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  1. PDF Puzzles and Problems for Year 1 and Year 2

    Put the plates in a cross. Use all 15 counters. Put a different number on each plate. Make each line add up to 10. Do it again. This time make each line add up to 8. Solve mathematical problems or puzzles. Know addition and subtraction facts up to 10. Add three small numbers mentally.

  2. PDF Reasoning and Problem Solving

    Mathematics Year 1: (1N2c) Read and write numbers from 1 to 20 in numerals and words Mathematics Year 1: (1C4) Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = -9 Differentiation: Questions 1, 4 and 7 (Reasoning)

  3. Year 1 Challenge Cards

    Using these Year 1 challenge cards for teaching maths is a fantastic way to help your class understand the fundamentals of math. Here are some other tricks that KS1 teachers also use to make maths fun! Draw pictures to give visual aids. Encourage real-life situations such as buying sweets at a shop. Turn your math questions into fun stories!

  4. Problem-solving Maths Investigations for Year 1

    By Nick Barwick - 7 Aug 2018. Hamilton provide an extensive suite of problem-solving maths investigations for Year 1 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor - high ceiling' activities for all. Explore all our in-depth problem solving investigations for Year 1.

  5. Reasoning/Problem Solving Maths Worksheets for Year 1 (age 5-6)

    Year 1 Maths Worksheets (age 5-6) Reasoning/Problem Solving ... Problem solving: addition and subtraction (1) A first look at word problems needing addition or subtraction to solve. 4 pages Problem solving addition and subtraction (2) Problem solving addition and subtraction (2) ...

  6. Free Printable Math Word Problems Worksheets for 1st Year

    Explore printable Math Word Problems worksheets for 1st Year. Math Word Problems worksheets for Year 1 are an essential tool for teachers to help their students develop strong foundational skills in mathematics. These worksheets provide a variety of engaging and challenging problems that cater to the unique learning needs of first-grade students.

  7. 100+ KS1 Maths Problem Solving

    Perfect for KS1 students, our maths problem-solving primary resources test a range of skills, from addition and subtraction to remainders and number order! We've included challenging topics like negative numbers, using inverse numbers, and remainders, to ensure these primary resources on problem-solving test your students' maths knowledge.

  8. Reasoning and Problem Solving Questions Collection

    pptx, 2.35 MB. pdf, 3.51 MB. These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS. The answers are provided with some simple notes at the back of the booklet and for some ...

  9. 1,952 Top "Problem Solving Year 1" Teaching Resources curated ...

    Level 1 Mathematical Thinking - Booklet 2. Explore more than 1,952 "Problem Solving Year 1" resources for teachers, parents and pupils as well as related resources on "Year 1 Problem Solving". Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs, PowerPoints, teaching ideas at Twinkl!

  10. Year 1 Maths Problem Solving: Shape and Measure Puzzles with Answers (8

    • awareness of the value of approaching problems in a systematic manner; • ability to select appropriate solution strategies; • ability to apply solution strategies accurately; • ability to monitor and evaluate one's thinking whilst solving problems. The problems included: 1:Shape and Sizes 2. Obstacle Race 3. Scarves 4. Rabbits ...

  11. PDF Year 1 Making Doubles Reasoning and Problem Solving

    Mathematics Year 1: (1C4) Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems Mathematics Year 1: (1N1b) Count in multiples of twos, fives and tens Differentiation: Questions 1, 4 and 7 (Reasoning) Developing Make double of a given number of sweets.

  12. One-Step Multiplication and Division Problem-Solving Year 1

    Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher ... Year 1 Diving into Mastery: Step 4 Recognise Equal Groups Activity Cards. 5.0 (1 review) Bee Counters and Beehive Worksheet. 5.0 (4 reviews) Year 1 Maths ...

  13. Printable Year 1 Problem-Solving Games

    Year 1 Problem Solving and Games: A Step-by-Step Guide for Parents. Football Maths Activity Booklet KS1 (Ages 5 - 7) 5.0 (2 reviews) Winter Maths Activity Booklet (Ages 5 - 7) 5.0 (5 reviews) Counting in 2s, 5s and 10s Word Problems Challenge Cards (Ages 5 - 6) 4.8 (5 reviews) Lateral Thinking: Missing Numbers. Caterpillar Numbers Maths Game.

  14. Problem Solving Questions

    Subject: Maths for early years. Age range: 3-5. Resource type: Worksheet/Activity. File previews. pdf, 86.57 KB. pdf, 111.06 KB. Problem Solving - Year 1 - Worksheet. A mixture of maths problem solving questions.

  15. 5,630 Top "Year 1 Maths Problem Solving Activities" Teaching ...

    Year 1 Diving into Mastery: Step 12 Order Numbers to 20 Activity Cards 2 reviews. Year 1 Problem Solving and Games: A Step-by-Step Guide for Parents. Year 1 Diving into Mastery: Step 5 Understand 17, 18 and 19 Activity Cards. Year 1 Diving into Mastery: Step 11 Fewer, More, Same Activity Cards 3 reviews. Year 1 Diving into Mastery: Step 9 ...

  16. PDF Year 1 Count in 10s Reasoning and Problem Solving

    Mathematics Year 1: (1N1b) Count in multiples of twos, fives and tens Mathematics Year 1: (1C8) Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher Differentiation: Questions 1, 4 and 7 (Reasoning)

  17. Year 1 Problem Solving and Games: A Step-by-Step Guide for Parents

    Maths games have many benefits, especially in the first few years of a child's education. In the UK, mathematics is often seen to be a difficult subject. Playing games is a motivator for children because the rules are part of a game, rather than a formal lesson. Also, success and failure are part of the game, so it's a little easier for them to cope with getting things wrong than it would be ...

  18. Problem Solving

    Developing Excellence in Problem Solving with Young Learners. Age 5 to 11. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three principal ways.

  19. Addition and Subtraction Word Problems- Year 1- DIFFERENTIATED

    Addition and Subtraction word problems for Year 1/2. Differentiated into 4 abilities. Children can cut and stick each question into their books and work it out underneath! NC Guidance: "They discuss and solve problems in familiar practical contexts, including using quantities. Problems should include the terms: put together, add, altogether ...

  20. PDF Year 1 Partitioning Numbers Reasoning and Problem Solving

    Reasoning and Problem Solving - Partitioning Numbers - Year 1 Developing. 4a. Ebony has 5 place value counters. Find the different total amounts she could have. 4b. Hamza has 6 place value counters. Find the different total amounts she could have. 5a. Jayden has completed the diagram.

  21. Maths Year 1 Problem Solving Teaching Resources

    Brain Benders 1 contains twenty-six challenging mathematical problem solving activities, specifically aimed at the 8-10 year group. The problems have been written to suit a range of abilities and ways of thinking and learning, and to help students become familiar with a variety of problem solving techniques.

  22. PDF Reasoning and Problem Solving Step 2: Halving a Quantity

    half of the number should be (using 1 to 1 or 1 to 2 correspondence). Greater Depth A number to 30 has been halved incorrectly. Find the total and determine what half of the number should be (using 1 to many correspondence). Questions 3, 6 and 9 (Problem Solving) Developing Solve a simple one step word problem that requires halving a number to 20.