Helping your preschooler explore maths can be as simple as counting blocks, spotting shapes on a walk or working out who has more strawberries on their plate. Everyday moments give us plenty of opportunities to make numbers playful.
Maths was my favourite subject at school, and completing a master’s degree in computer engineering strengthened my mathematical skills further. Now, as a mum of three, I want to share that enjoyment with my children and help them practise through games, conversation and discovery.
That’s why I’m creating this 30-day math challenge for preschoolers. Each day offers a simple activity using familiar household items, with an easier option and an extra challenge to suit different stages of learning.
Set aside around 10 minutes a day, but let your child’s interest guide you. Some activities might last five minutes; others might turn into a longer game. There’s no race to finish and no need to get every answer right.
I’m sharing these activities as a parent with a love of maths. My hope is that they give you an enjoyable way to spend time together while your child explores counting, patterns, shapes, measurement and problem-solving.
A note about my background: I’m a mum with a master’s degree in computer engineering, not a qualified or registered school teacher. I’m sharing these activities to help families enjoy practising maths together at home. They are intended as extra learning opportunities, rather than a complete curriculum or a replacement for school teaching or individual learning support.
How to Use This 30-Day Math Challenge
This challenge is designed for preschoolers, roughly ages 3–5. Start with what your child can comfortably do and use the easier option or extra challenge to adjust each activity.
Keep a few simple supplies nearby: paper, crayons, building blocks, toy animals and a few plastic cups. You can swap the suggested materials for similar items you already have at home. Choose objects that are safe for your child to handle, especially if they still put things in their mouth.
Play together for around 10 minutes. Read the activity first, gather your materials and invite your child to join you. You can demonstrate, take turns and talk about what you notice.
Give them time to think. Questions such as “How did you work that out?” and “What could we try?” make room for their ideas. When something is tricky, explore it together.
Follow their interest. Repeat a favourite activity, spread one day over several short sessions or take a day off. The 30 days are a flexible guide.
Notice their discoveries. Counting each toy once, spotting a repeating pattern or explaining why one tower is taller are all moments worth celebrating.
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Day 1: A Toy Counting Adventure
Today’s skill: Counting objects
You’ll need: 5 large toy animals, cars or blocks
Place the toys in a basket. Invite your child to take them out one at a time, touching each toy as you count together: “One, two, three, four, five!”
Ask, “How many toys do we have altogether?” Explain that the last number you counted tells you how many there are.
Move the toys into a different arrangement and count again. Let your child choose where to put them next.
Make it easier: Start with 3 toys and count together.
Try an extra challenge: Use up to 10 toys, letting your child lead the counting.
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Day 2: Go on a Shape Hunt
Today’s skill: Recognising circles, squares and triangles
You’ll need: Paper and a crayon
Draw a circle, a square and a triangle. Trace each outline with your finger as you name it together.
Invite your child to find similar shapes around your home. A plate might have a circular outline, while a tile might be square. Ask, “Which shape does this look like? How can you tell?”
Look at straight sides, curved edges and corners together. Turn your drawings around to show that a shape keeps its name when it changes direction.
Make it easier: Hunt for circles only.
Try an extra challenge: Draw a rectangle and compare it with the square. Both have four sides and four corners.
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Day 3: Build a Colour Pattern
Today’s skill: Recognising and continuing a repeating pattern
You’ll need: Several large blocks in two colours
Arrange four blocks in a row: red, blue, red, blue. Say the colours together, pointing to each block.
Ask, “What colour comes next?” Invite your child to add more blocks, then read the whole pattern aloud together. Explain that red, blue is the part that repeats.
Take turns choosing and placing the next block. Your child can also invent a pattern for you to continue.
Make it easier: Build the pattern together, matching each new pair to the first pair.
Try an extra challenge: Try red, red, blue, red, red, blue. Ask which group repeats and what comes next.
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Day 4: Match One for Each
Today’s skill: Matching objects one to one
You’ll need: 4 toy animals and 4 large blocks
Tell your child that each animal needs one pretend snack. Invite them to give one block to each animal.
Ask, “Does everyone have one? Has anyone got an extra?” Count the animals and blocks together.
Add another animal without adding a block. Ask, “What do we need so everyone has a snack?”
Make it easier: Start with 2 animals and 2 blocks.
Try an extra challenge: Provide more blocks than animals. Ask your child to give everyone one and count how many are left.
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Day 5: Which Group Has More?
Today’s skill: Comparing quantities
You’ll need: 7 large building blocks
Make one group of 3 blocks and another of 4. Ask, “Which group has more? How could we check?”
Help your child pair one block from each group. Notice that the group of 4 has one block left without a partner.
Spread the smaller group out. Ask whether spreading the blocks changed how many there are, then check together.
Make it easier: Compare 1 block with 3 blocks.
Try an extra challenge: Ask your child to make the groups equal by adding or removing a block.
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Day 6: Put Them in Size Order
Today’s skill: Comparing and ordering by size
You’ll need: 3 similar cups in different sizes
Place the cups together. Ask, “Which looks smallest? Which looks biggest?”
Invite your child to arrange them from smallest to biggest. Talk about the cup in the middle: “This one is bigger than that cup, but smaller than this one.”
Mix them up and let your child arrange them again.
Make it easier: Compare just 2 clearly different cups.
Try an extra challenge: Use 4 or 5 nesting cups. Explore how putting one inside another helps you check their order.
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Day 7: Count and Move
Today’s skill: Connecting counting words with actions
You’ll need: A little clear floor space
Invite your child to do 3 claps, counting each clap together. Next, try 4 gentle stomps or 2 stretches.
Take turns choosing an action and a number. Ask, “Can you stop when we reach five?”
Keep the pace slow enough to say one number for each movement. Repeat favourite combinations.
Make it easier: Use 1–3 actions and do them together.
Try an extra challenge: Give a two-part instruction: “Do 3 claps, then 2 stomps.” Ask how many movements you did altogether and check by repeating them.
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Day 8: Meet the Numerals
Today’s skill: Matching written numerals to quantities
You’ll need: Paper, a crayon and 6 large blocks
Write 1, 2 and 3 on separate pieces of paper. Explain that these symbols show numbers.
Choose a card, name the number and help your child place that many blocks beside it. Touch each block as you check.
Mix up the cards and play again. Keep the focus on matching rather than testing their memory.
Make it easier: Start with cards for 1 and 2.
Try an extra challenge: Add cards for 4 and 5, with extra blocks available.
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Day 9: Sort It Your Way
Today’s skill: Sorting by a shared feature
You’ll need: A small collection of large blocks in different colours and shapes
Ask, “How could we put these into groups?” Let your child suggest a rule, or begin by sorting by colour.
Talk about what makes the blocks in each group alike.
Mix everything together and try a different rule, such as shape. Explain that the same block can belong to different groups depending on the rule you choose.
Make it easier: Use two colours and sort together.
Try an extra challenge: Let your child sort secretly, then ask you to work out their rule.
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Day 10: What Comes Next in Our Day?
Today’s skill: Describing the order of events
You’ll need: Paper and crayons
Draw three simple pictures of a familiar routine, such as washing hands, eating lunch and washing the plate.
Mix them up. Ask, “What happens first? What comes next? What happens last?”
Arrange the pictures together and tell the story of the routine. Talk about why one event comes before another.
Make it easier: Use two pictures, such as putting on shoes and going outside.
Try an extra challenge: Draw four events from your child’s morning and arrange them using before and after.
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Day 11: How Long Is Your Book?
Today’s skill: Measuring length with equal units
You’ll need: A book and several same-sized blocks
Lay the book flat. Place blocks end to end along its longer edge, starting at one end, with no gaps or overlaps.
Count how many blocks long it is. If it ends partway along a block, say, “It’s about six blocks long.”
Measure another book with the same blocks and compare.
Make it easier: Measure a short object using 3–5 blocks.
Try an extra challenge: Predict which of two books is longer, then measure both to check.
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Day 12: The Hiding Toy Game
Today’s skill: Understanding position words
You’ll need: A toy and a chair
Place the toy under the chair. Ask your child to find it, then describe where it is.
Try on, beside, behind and in front of the chair. Demonstrate any unfamiliar words.
Swap roles so your child places the toy and tells you where to look.
Make it easier: Practise just on and under.
Try an extra challenge: Give a two-step instruction: “Put the toy under the chair, then move it beside the chair.”
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Day 13: How Many Can You Spot?
Today’s skill: Recognising small quantities without counting
You’ll need: 3 large blocks and a cloth
Arrange 2 blocks under the cloth. Lift it briefly, then cover them again.
Ask, “How many did you see?” Uncover the blocks and check together. Counting is welcome whenever your child needs it.
Repeat with 1, 2 or 3 blocks in different arrangements. This is a noticing game, so give your child plenty of time.
Make it easier: Leave the blocks visible.
Try an extra challenge: Try 4 blocks arranged as two pairs. Ask, “Did you see a little group inside the bigger group?”
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Day 14: Make a Sound Pattern
Today’s skill: Continuing a repeating sound pattern
You’ll need: Your hands and knees
Make a pattern: clap, tap your knees, clap, tap your knees.
Repeat it slowly together. Ask, “What comes next?” Let your child lead while you follow.
Talk about the repeating part: one clap, one knee tap. Try making the pattern quietly, then a little louder.
Make it easier: Say “clap, tap” while doing the movements together.
Try an extra challenge: Try clap, clap, tap repeated several times. Invite your child to invent another pattern.
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Day 15: One More Guest
Today’s skill: Exploring one more
You’ll need: 5 toy animals and 5 plastic cups
Set up a pretend picnic for 2 animals, with one cup each.
Say, “One more animal is coming. How many animals will there be?” Add the animal and count together. Invite your child to add its cup.
Repeat until all 5 animals have joined the picnic.
Make it easier: Start with 1 animal and add 1.
Try an extra challenge: Ask your child to predict the new total before adding the next animal, then check together.
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Day 16: One Rolls Away
Today’s skill: Exploring one less
You’ll need: 5 toy cars or other large toys
Park 4 cars in a row. Count them together.
Tell your child, “One car is driving away.” Move it aside and ask, “How many are still parked?”
Count to check. Keep playing as cars leave or return, describing what changes each time.
Make it easier: Begin with 2 cars and move 1 away.
Try an extra challenge: Begin with 5 cars. Ask your child to predict how many will remain when 1 leaves, then check.
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Day 17: Explore Full and Empty
Today’s skill: Comparing how full containers are
You’ll need: Two similar plastic cups, a small jug, water and a tray
Place the cups on the tray. Leave one empty and fill the other.
Explore empty, full and partly full as your child pours water between them.
Ask, “Which cup has more water now? How could you make them look equally full?” Use the similar cups to make comparing easier.
Make it easier: Focus on filling and emptying one cup.
Try an extra challenge: Predict how many small cupfuls will fill a larger container, then test together.
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Day 18: Build a Shape Picture
Today’s skill: Combining shapes to make a picture
You’ll need: Large paper circles, squares, rectangles and triangles prepared by an adult
Invite your child to arrange the shapes into a picture. They might make a house, robot, flower or something entirely their own.
Ask, “Which shapes did you choose?” Explore how turning or moving a shape changes the picture while the shape itself stays the same.
Make it easier: Offer just a few shapes and build together.
Try an extra challenge: Ask, “Can you make a different picture using exactly the same pieces?”
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Day 19: Guess, Then Count
Today’s skill: Estimating and checking a small quantity
You’ll need: 5 large blocks and a tray
Place a small group of blocks on the tray. Ask, “About how many do you think there are?”
Explain that an estimate is a thoughtful guess. Count together to find out, without treating a different estimate as a mistake.
Repeat with another small group. Talk about what your child noticed before counting.
Make it easier: Use 1–3 blocks and leave plenty of looking time.
Try an extra challenge: Use up to 10 blocks. Ask whether arranging them in pairs makes estimating easier.
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Day 20: Make a Toy Graph
Today’s skill: Organising and comparing information
You’ll need: Two colours of same-sized blocks
Collect 3 blocks of one colour and 5 of another. Sort them by colour, then arrange them in two straight rows beside each other.
Start both rows at the same line, with matching spaces between blocks.
Ask, “Which colour has more? Which has fewer?” Count each row to check.
Make it easier: Compare rows of 2 and 3 blocks.
Try an extra challenge: Ask, “How many more blocks does the longer row have?” Pair them across the rows to find out.
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Day 21: Make Five in Different Ways
Today’s skill: Exploring how smaller groups make a total
You’ll need: 5 large blocks and two plates
Count all 5 blocks together. Invite your child to share them between the plates in any way they choose.
Count each group, then say, “Two here and three here make five altogether.”
Move one block to the other plate. Ask what changed and check that there are still 5 altogether.
Make it easier: Use 3 blocks.
Try an extra challenge: Find several different ways to split 5, including putting all 5 on one plate and none on the other.
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Day 22: Which Feels Heavier?
Today’s skill: Comparing weight
You’ll need: A soft toy, a book and a few other easy-to-hold objects
Choose two objects your child can comfortably hold, one in each hand.
Ask, “Which feels heavier? Which feels lighter?” Take turns comparing other pairs.
Explain that a bigger object is not always heavier. A large soft toy might feel lighter than a smaller book.
Make it easier: Choose two objects with a clear difference in weight.
Try an extra challenge: Use a balance scale, if available, to check a prediction and explore which side moves down.
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Day 23: Build It Like Mine
Today’s skill: Noticing position and copying an arrangement
You’ll need: Two matching sets of 3–4 large building blocks
Use one set to build a small model. Invite your child to copy it with the other set.
Describe the positions together: “The red block is on top. The blue block is beside it.”
Compare the models and make adjustments together. Swap roles so your child becomes the designer.
Make it easier: Begin with a tower of 2 blocks.
Try an extra challenge: Show a three-block model, hide it and invite your child to rebuild it from memory.
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Day 24: Share a Pretend Picnic
Today’s skill: Sharing objects equally
You’ll need: 2 toy animals, 2 plates and 6 large blocks
Explain that the blocks are pretend picnic snacks. Ask your child to share them so both animals have the same amount.
Suggest giving one to this animal, then one to that animal, until none remain.
Count each plate and check that the amounts match.
Make it easier: Share 4 blocks between 2 animals.
Try an extra challenge: Share 5 blocks between 2 animals without breaking them. Notice that each gets 2 and 1 is left over.
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Day 25: Step Along the Number Path
Today’s skill: Connecting numerals, counting and movement
You’ll need: Chalk and a clear outdoor surface
Draw five large stepping spaces in a row, labelled 1–5.
Invite your child to start just before 1, then step into each space while saying its number. Take turns calling a number for the other person to find.
Ask, “Which number comes after three?” Walk along the path to check.
Make it easier: Use spaces numbered 1–3 and hold hands as you move.
Try an extra challenge: Extend the path to 10 or walk backwards from 5, saying each number.
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Day 26: Open a Toy Shop
Today’s skill: Counting out a requested quantity
You’ll need: Large blocks as pretend money, a few toys and paper labels
Set up a shop where toys cost 1, 2 or 3 blocks. Add a numeral label beside each toy.
Take turns being the shopper and shopkeeper. Help your child count out exactly enough blocks to buy a toy.
Ask, “The label says three. Can you give me three blocks?”
Make it easier: Price everything at 1 or 2 blocks.
Try an extra challenge: Buy two toys together and count how many blocks you need altogether.
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Day 27: What’s Missing from the Pattern?
Today’s skill: Finding a missing part in a repeating pattern
You’ll need: Large blocks in two colours and a cloth
Build a repeating row: red, blue, red, blue, red, blue. Say the colours together.
Cover one block with the cloth. Ask, “Which colour is hiding? What helped you decide?”
Uncover it to check, then hide a different block. Let your child set a puzzle for you.
Make it easier: Leave the whole pattern visible and ask which colour comes next.
Try an extra challenge: Use a repeating group of red, red, blue and hide one block.
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Day 28: How Tall Is Your Tower?
Today’s skill: Comparing height
You’ll need: Same-sized building blocks
Build two towers on the same flat surface, one with 3 blocks and another with 5.
Ask, “Which is taller? Which is shorter?” Stand them beside each other and count their blocks.
Invite your child to change the shorter tower until both are the same height.
Make it easier: Compare towers of 2 and 4 blocks.
Try an extra challenge: Build towers of 3, 4 and 5 blocks. Arrange them from shortest to tallest and describe what changes each time.
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Day 29: Tell a Tiny Number Story
Today’s skill: Exploring addition through a story
You’ll need: 5 toy animals
Start a story: “Two animals are playing in the garden. One more comes to join them.”
Act it out with the toys. Ask, “How many animals are playing now?” Let your child count to find out.
Make another short story together, keeping the total within 5. Encourage your child to move the toys as they tell it.
Make it easier: Begin with 1 animal and add 1.
Try an extra challenge: Tell a story where an animal leaves. Ask how many remain.
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Day 30: Your Child’s Maths Adventure
Today’s skill: Revisiting and explaining favourite discoveries
You’ll need: Materials from two favourite activities
Invite your child to choose two games from the challenge. They might pick the toy shop, shape hunt, pattern game or another favourite.
Ask them to show you how to play. Follow their instructions and ask, “What should I do next? How can we check?”
Finish by naming something you noticed: “You gave every animal one snack and checked that nobody missed out.”
Make it easier: Choose one familiar activity and play together.
Try an extra challenge: Invite your child to invent a new rule or question for their favourite game.
Keep the Maths Play Going
Finishing this 30-day math challenge doesn’t mean putting the games away. Return to the activities your child enjoyed most, change the toys or let them invent their own version.
You can also bring these ideas into everyday moments: count plates while setting the table, look for patterns on clothes or compare the height of two plants in the garden.
Some activities may feel easy, while others need more time and repetition. Follow your child’s progress and celebrate their curiosity, questions and willingness to try.
Most of all, enjoy this time together. My hope is that these little games help your child see maths as something they can explore, talk about and have fun with.
Which activity did your preschooler enjoy most? Share your favourite in the comments—I’d love to hear how you played together.
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