year 1 maths problem solving

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.

Counting a variety of things.

Sorting and counting activities.

Sorting and counting activities (3)

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

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

Looking for similarities in groups of sorted objects.

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

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

Sorting a variety of fruit into groups.

Sorting a variety of objects into groups.

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.

Use number cards to find different ways of making 3.

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

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

Use number cards to find different ways of making 6.

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

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

Use cards to make numbers.

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.

How many ways can you pay 8p?

What coins could you use to buy the ragdoll?

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

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

2-step money problems.

More shopping: 2-step problems with whole pounds.

Simple reasoning with small amounts of money.

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.

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.

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

How many different answers can you get?

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

A little age problem.

Make subtraction sentences using the numbers around the hexagon.

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?

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

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

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

More problem solving where addition or subtraction is needed.

Completing missing symbols in number sentences.

Completing number sentences using more and less than.

Completing simple number patterns.

More reasoning activities

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

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

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

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

How many rectangles can be made?

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

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

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

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

Find and describe routes to the bus stop.

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

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

Fun counting challenge which encourages logical thinking.

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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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Year 1 Maths

From counting to 100 to recognising shapes and drawing pictures of the world using those shapes, we have the maths games, worksheets, and guides parents need to put their Year 1 maths pupils at the top of the class!

Select a skill

Review shapes, practise counting skills and more with DoodleMaths’ games, worksheets, and resources. Select a maths skill and sharpen your pupil’s maths knowledge, or build their confidence with additional practice exercises!

Learn your counting numbers, 1 to 100.

Find out more

Add numbers together, group pairs, and more.

Subtraction

Learn how to make numbers smaller by subtracting.

Discover what shapes make our round world go round!

Measurement

Explore what it means to have ‘more’ or ‘less.’

Place value

Learn how many 1s are in a 10!

Learn your numbers, 1 to 100.

Year 1 maths support

Whether you’re a first-time parent to a Year 1 student or it’s your third time around the block, our goal is to take the guesswork out of primary maths. Browse our Year 1 maths guides designed to make learning maths a breeze.

Year 1 maths help

For parents with a struggling maths student, read about 10 ways a maths teacher recommends offering help.

Year 1 maths curriculum

Deep dive into the national standards for Year 1 maths so you feel confident about what your student should know by the start of Year 2.

Year 1 maths problems

Practise Year 1 maths at home with these 50 maths questions that cover counting, shapes & more. Check your work!

Looking for a different year group?

All about Year 1 maths

The Year 1 maths curriculum is where learners will begin their Key Stage 1 journey. This year is all about learning the basics across six different fundamental areas of maths.

The skills they’ll begin to learn in Year 1 will prepare them for all that’s to come as they move through their primary school education and beyond!

What maths is taught in Year 1?

Maths for Year 1 consists of six key areas and will help learners get to grips with the foundational skills they’ll need in each. Let’s break these down below.

The subject of number is further broken down into four categories; place value, addition and subtraction, multiplication and division , and fractions. 

Within this, your Year 1 students will learn:

• The numbers from 0 to 100
• How to add, subtract, multiply, and divide numbers up to 20
• To count by 2s and 5s
• Simple fractions like halves and quarters

The topic of measurement covers measuring, time and money. In Year 1, learners will cover:

• Transitioning from using non-standard units of measure to standard units of measure
• The value of all of the different coins and notes
• How to tell the time to the nearest hour and the nearest half hour

Shapes/Geometry

Students will cover the basics of shape and direction in Year 1. This means that by the end of the year, they’ll be able to:

• Identify different 2D and 3D shapes
• Use whole, half, and quarter turns to describe movement and direction

Are there Year 1 maths assessments?

There are no maths assessments in Year 1. In place of formal assessments, teachers will monitor their student’s progress throughout the year using a range of informal assessment strategies. 

How can I help my child with maths Year 1?

A great way to give your child some Year 1 maths help is to give them lots of practice at the different skills they’re learning. Our fantastic maths app has thousands of fun and interactive curricular-aligned games that your little learner is sure to love.

You can also try out these 50 maths questions for Year 1 with your learners to get a good idea of their progress!

FAQs about Year 1 maths?

By the end of Year 1, your students should have a firm grasp of the numbers 0 to 100. Additionally, they should be able to perform simple operations (+, -, ÷, x) on numbers up to 20.  They should be able to identify a range of 2D and 3D shapes, all of the different coins and notes, and be able to use simple units of measurement .

Within the national curriculum for maths Year 1 students will be required to meet a whole host of statutory requirements before they move on to Year 2. 

For a full overview of everything your child needs to know by the end of Year 1, take a look at our full Year 1 curriculum overview !

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

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• Addition-Subtraction
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Unlock Fun and Learning with Free Year 1 Maths Worksheets: Engage, Educate, and Excel! Age(5,6)

Empower your child’s mathematical journey with our collection of dynamic and free Year 1 Maths worksheets. At Star Worksheets, we believe that learning should be both enriching and enjoyable. Our carefully crafted worksheets are designed to engage young learners, making the process of learning mathematics a delightful adventure.

With a focus on generating interest and understanding, our resources are tailored to promote curiosity, critical thinking, and problem-solving skills. Whether it’s mastering basic addition and subtraction or exploring shapes and measurements, these worksheets are a gateway to building a strong foundation in mathematics.

At Star Worksheets, we are committed to providing valuable educational resources that foster a love for learning. Each worksheet is thoughtfully structured to stimulate young minds, ensuring a seamless blend of fun and learning. Prepare your child to excel in mathematics while embracing a sense of accomplishment with our free Year 1 Maths worksheets. Let’s embark on this exciting journey of growth and knowledge together.

Importance of Maths Worksheets for Year 1 Students

Maths worksheets play a crucial role in the development of Year 1 students. They serve as essential tools for reinforcing mathematical concepts, providing practice, and assessing progress. By engaging with worksheets, children can enhance their problem-solving abilities and develop a deeper understanding of mathematical principles.

Furthermore, worksheets offer a structured approach to learning, allowing students to work independently and at their own pace. This fosters a sense of confidence and autonomy, which are invaluable traits for young learners. Moreover, the use of worksheets can help bridge the gap between school and home learning environments, creating a cohesive educational experience for children.

In addition, maths worksheets encourage students to apply their knowledge in real-world contexts, promoting the practical application of mathematical concepts. This not only enriches their learning experience but also installs a sense of relevance and purpose in their mathematical studies.

Overview of Year 1 Maths Curriculum

The Year 1 maths curriculum forms the foundation for a child’s mathematical education, laying the groundwork for subsequent learning. It encompasses fundamental mathematical concepts and skills that are essential for building a strong mathematical proficiency. The curriculum focuses on developing a solid understanding of numbers, basic operations, shapes, measurements, and patterns.

In Year 1, students are introduced to the concept of addition and subtraction, as well as the recognition and comparison of numbers. They explore geometric shapes, understand simple measurement concepts, and begin to identify and create patterns. Furthermore, the curriculum emphasizes the development of mathematical language, problem-solving strategies, and mathematical reasoning.

By engaging with the Year 1 maths curriculum, children not only acquire foundational mathematical knowledge but also cultivate essential cognitive abilities, such as logical reasoning, spatial awareness, and numerical fluency. This sets the stage for their continued growth and success in mathematics.

Key Maths Concepts Covered in Year 1 Worksheets

Our Year 1 maths worksheets cover a wide spectrum of key mathematical concepts, catering to the diverse learning needs of young students. These concepts include foundational numeracy skills, such as counting, number recognition, addition, and subtraction. Through a series of engaging exercises, children can develop fluency in basic arithmetic operations and build a strong numerical foundation.

Additionally, our worksheets delve into the exploration of shapes and patterns, allowing students to identify and describe geometric shapes, recognize patterns, and engage in spatial reasoning activities. The inclusion of measurement tasks further enables children to understand the concept of length, height, weight, capacity, and the comparison of quantities.

Moreover, our worksheets incorporate problem-solving scenarios that encourage critical thinking, logical reasoning, and the application of mathematical strategies. By addressing real-life mathematical challenges, children can develop the confidence and skills necessary to tackle problem-solving tasks with proficiency and creativity.

We have arranged all our Year 1 Maths Worksheets for students of ages 5 to 6.

Our fantastic maths worksheets for children ages 5 and 6 are based on the national curriculum of England. These high-quality maths worksheets for children ages 5 and 6 are used for students in Year 1. Starting with some great fun number and place value worksheets and moving right up to multiplication and division as well as some tricky challenges!

All Year 1 Maths Curriculum is divided into the following categories. These Worksheets are FREE to Download and are available in PDF format. Each has many resources within so why not jump in and explore the site? These Categories are as follows.

1-Number and Place Value.

• count to and across 100, forwards and backward, beginning with 0 or 1, or from any given number.
• count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens.
• given a number, identify one more and one less
• identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
• read and write numbers from 1 to 20 in numerals and words.

Click on the Red button to explore all number and place value worksheets for Year 1 Maths worksheets.

2-Addition and Subtraction

• read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs
• represent and use number bonds and related subtraction facts within 20
• add and subtract one-digit and two-digit numbers to 20, including zero.
• solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as  7 = ? – 9.
• All year 1 Maths worksheets for additions and subtractions are available by clicking the below button.

3-Multiplication and Division

• 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.

4- Measurement

• compare, describe and solve practical problems for:
• lengths and heights (for example,  long/short, longer/shorter, tall/short, double/half )
• mass/weight (for example,  heavy/light, heavier than, lighter than )
• capacity and volume (for example,  full/empty, more than, less than, half, half full, quarter )
• time (for example,  quicker, slower, earlier, later )
• measure and begin to record the following:
• lengths and heights
• mass/weight
• capacity and volume
• time (hours, minutes, seconds)
• recognise and know the value of different denominations of coins and notes
• sequence events in chronological order using language (for example,  before, after, next, first, today, yesterday, tomorrow, morning, afternoon, evening )
• recognize and use language relating to dates, including days of the week, weeks, months and years
• tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.

5-Fractions.

• recognize, find, and name a half as one of two equal parts of an object, shape or quantity
• recognize, find, and name a quarter as one of four equal parts of an object, shape or quantity.

5- Geometry.

• recognise and name common 2D and 3D shapes.

6-Position and Directions.

• describe position, direction and movement, including whole, half, quarter and three-quarter turns.

What is expected in Year 1 Maths?

During Year 1 maths a child is expected to be able to:

• Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs 
• Represent and use number bonds and related subtraction facts within 20
• Add and subtract one-digit and two-digit numbers to 20 including zero
• Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems, such as 7 = ?

The above-mentioned curriculum is very well explained through Maths activities by Oxford Owl . They help the children to learn. 😉

Most educators ask these common questions. What should a Year 1 child know in Maths?

We have carefully picked the following questions, in general, to answer this question. But Sky`s the Limit in Maths.

• What is the value of the number 5?
• What is the sum of 9 and 3?
• What is the difference between 18 and 7?
• How many sides does a square have?
• What is the shape of a circle?
• How many fingers do you have on one hand?
• How many toes do you have on one foot?
• How many sides does a triangle have?
• What is the number that comes after 7?
• How many days are in a week?
• How many sides does a rectangle have??
• What is the shape of a diamond?
• How many sides does a hexagon have?
• How many sides does an octagon have?
• How many sides does a Pentagon have?
• What is the number that comes before 5?
• What is the number that comes after 9?
• What is the number that comes before 12? Click here for Number And Place Value Worksheets for Year 1.
• How many days are in a month?
• How many months are in a year?

If you want to learn about the detailed curriculum of Maths for Year 1 students Click Here

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