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A free printable book

Maths for classes 1 and 2

4 lessons, each with worked examples, a try-at-home activity and a practice sheet. The practice sheets are together after the lessons, and the answer keys are at the very back.

  • Maths
  • Classes 1-2
  • 4 lessons
  • 42 practice questions
  • Free to print

Contents

Free learning for kids, Gurukul Technicals Institute. Printed from engineergurukul.com/resources/kids/books/maths-1-2/

Contents

What is in this book

  1. 1Counting and number namesCount from 1 to 100, learn tens and ones, and write number names like seven, fifteen and forty.4 min
  2. 2Adding and subtracting up to 100Add and subtract two-digit numbers using tens and ones, with carrying and borrowing explained step by step.3 min
  3. 3Shapes around usMeet circles, squares, rectangles and triangles, count their sides and corners, and spot solid shapes at home.3 min
  4. 4Reading the clockLearn the short and long hands, tell the time in hours, half past and quarter past, and count minutes in fives.4 min

Every lesson here can also be read on its own page, with links to related lessons. All printable books.

Lesson 1 of 4

Counting and number names

Count from 1 to 100, learn tens and ones, and write number names like seven, fifteen and forty.

Open this lesson on its own page · Practice sheet · Answer key · Contents

Let us begin

The big idea

Numbers are everywhere: the pages in your book, the steps to school and the laddoos on a plate. In this lesson you will count, read and write numbers and their names.

We count 1, 2, 3, 4, 5 and keep going. Each number is one more than the number before it. The number after 9 is 10.

After 10 we count in tens: 10, 20, 30, 40, 50, 60, 70, 80, 90 and then 100. A group of ten things is called one ten.

Every two-digit number has tens and ones. In 47 the 4 means 4 tens and the 7 means 7 ones. So 47 is 40 and 7.

Every number has a name too. 1 is one, 2 is two, 11 is eleven, 12 is twelve, 15 is fifteen, 20 is twenty, 40 is forty, 90 is ninety and 100 is one hundred. Be careful with forty: it has no u.

To compare numbers, look at the tens first. 48 has 4 tens and 84 has 8 tens, so 84 is bigger.

Number line from 0 to 10A straight line with the numbers 0 to 10 marked at equal gaps. Under each number its name is written, from zero to ten. 0 zero 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten Numbers 0 to 10 on a number line Each step to the right is one more.
A number line shows numbers in order, with the number names written below.

Worked examples

See how it works

  1. Counting in tens

    Count by tens: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. Each jump adds one ten. After 30 comes 40, because 30 + 10 = 40.

  2. Tens and ones

    Take 36. Split it: 3 tens and 6 ones. That is 30 + 6 = 36. Its name is thirty-six.

  3. Writing number names

    14 is fourteen. 15 is fifteen. 18 is eighteen. 40 is forty. 52 is fifty-two. Notice that the tens name comes first and the ones name comes second.

  4. Which is bigger?

    Compare 63 and 36. 63 has 6 tens. 36 has only 3 tens. So 63 is bigger than 36.

Try it at home

Ten-bowl counting

You will need

  • About 40 dried beans, small stones or buttons
  • Four small bowls or cups
  • Paper and a pencil

What to do

  1. Count out the beans one by one and put 10 in each bowl.
  2. Count the bowls in tens: 10, 20, 30, 40.
  3. Add 3 loose beans next to the bowls. How many are there in all? Say it aloud: 4 tens and 3 ones is 43.
  4. Write the number and its name on paper: 43, forty-three.
  5. Change the number of loose beans and try again.

Ask a grown-up: Please keep small beans and stones away from babies and from anyone who might put them in their mouth or nose.

Fun fact

The digits 0 to 9 that we use today were first developed in India and then travelled across the world.

Lesson 2 of 4

Adding and subtracting up to 100

Add and subtract two-digit numbers using tens and ones, with carrying and borrowing explained step by step.

Open this lesson on its own page · Practice sheet · Answer key · Contents

Let us begin

The big idea

Adding puts things together and subtracting takes things away. With tens and ones, you can add and subtract big numbers in your head or on paper.

To add, put the ones together first and then the tens. Adding 24 and 13: ones 4 + 3 = 7, tens 2 + 1 = 3. The answer is 37.

Sometimes the ones make 10 or more. Then we make a new ten. We carry that ten over to the tens column.

To subtract, take away the ones first and then the tens. If the top ones digit is too small, we borrow one ten and turn it into 10 ones.

Adding and subtracting are partners. If 24 + 13 = 37, then 37 − 13 = 24. You can use this to check your answer.

Adding 24 and 13 with tens and onesRods stand for tens and small squares stand for ones. 24 is two rods and four squares. 13 is one rod and three squares. Together they make three rods and seven squares, which is 37.tens ones 24 + 13 37 ones: 4 + 3 = 7 tens: 2 + 1 = 3 24 + 13 = 37
Add the tens together and the ones together. 24 + 13 = 37.

Worked examples

See how it works

  1. Adding with no carrying: 24 + 13

    Ones: 4 + 3 = 7. Tens: 2 + 1 = 3. So 24 + 13 = 37.

  2. Adding with carrying: 38 + 27

    Ones: 8 + 7 = 15. That is 1 ten and 5 ones. Write 5 and carry 1 to the tens. Tens: 3 + 2 + 1 = 6. So 38 + 27 = 65.

  3. Subtracting with no borrowing: 75 − 32

    Ones: 5 − 2 = 3. Tens: 7 − 3 = 4. So 75 − 32 = 43.

  4. Subtracting with borrowing: 62 − 28

    We cannot take 8 from 2. So borrow 1 ten: 62 becomes 5 tens and 12 ones. Ones: 12 − 8 = 4. Tens: 5 − 2 = 3. So 62 − 28 = 34. Check: 34 + 28 = 62.

Try it at home

Number slips game

You will need

  • Small slips of paper
  • A pencil
  • A bowl
  • About 20 small stones or beans for counting

What to do

  1. Write the numbers 10, 12, 15, 20, 24, 30, 35, 40 and 45 on separate slips and put them in the bowl.
  2. Pick two slips without looking. Add the two numbers.
  3. Check your answer by counting tens and ones with stones or beans.
  4. Now pick two slips and subtract the smaller from the bigger.
  5. Play with a friend. The person with more correct answers wins.

Ask a grown-up: An adult can check the answers and keep small stones away from little children.

Lesson 3 of 4

Shapes around us

Meet circles, squares, rectangles and triangles, count their sides and corners, and spot solid shapes at home.

Open this lesson on its own page · Practice sheet · Answer key · Contents

Let us begin

The big idea

Look around you. A roti, a window and a samosa all have shapes. Let us learn the names of the shapes and how to tell them apart.

A circle is round. It has no corners and no straight sides. A roti, a coin and a bangle look like circles.

A square has 4 sides that are all the same length and 4 corners. A chessboard square is a good example.

A rectangle has 4 sides and 4 corners too. Two sides are long and two sides are short. A door, a book and a blackboard are rectangles.

A triangle has 3 sides and 3 corners. Some bread slices and the top of a roof look like triangles.

Some shapes are solid. A ball is a sphere. A dice is a cube. A matchbox is a cuboid. A tin can is a cylinder. An ice-cream cone is a cone.

Four flat shapesFour shapes in a row: a circle, a square, a rectangle and a triangle. Under each one are its name, the number of sides and the number of corners. Circle round no corners Square 4 equal sides 4 corners Rectangle 4 sides 4 corners Triangle 3 sides 3 corners A roti is a circle. A book is a rectangle.
Circle, square, rectangle and triangle, with their sides and corners.

Worked examples

See how it works

  1. Which shape is it?

    A cricket ball seen from the front looks like a circle. A window looks like a rectangle. A tile on the floor often looks like a square. A samosa seen from the side looks like a triangle.

  2. Counting sides and corners

    Triangle: 3 sides and 3 corners. Square: 4 sides and 4 corners. Rectangle: 4 sides and 4 corners. Circle: no straight sides and no corners.

  3. Solid shapes at home

    A cricket ball is a sphere. A dice is a cube. A tin of ghee is a cylinder. A birthday cap is a cone. A matchbox is a cuboid.

Try it at home

Shape hunt

You will need

  • Paper
  • A pencil
  • Things around your home such as a plate, a book, a tile and a ball

What to do

  1. Draw four boxes on your paper and write circle, square, rectangle and triangle above them.
  2. Walk around your home and look for things with each shape.
  3. Draw or write the name of each thing you find in the right box.
  4. Count how many things you found for each shape.
  5. Find three solid shapes as well, such as a ball, a dice and a tin.

Ask a grown-up: An adult can read out the shape names and help with spelling. No need to touch anything sharp or high up.

Fun fact

The little cells of a honeycomb are hexagons, shapes with six sides.

Lesson 4 of 4

Reading the clock

Learn the short and long hands, tell the time in hours, half past and quarter past, and count minutes in fives.

Open this lesson on its own page · Practice sheet · Answer key · Contents

Let us begin

The big idea

A clock tells us when to wake up, go to school and play. Let us learn how to read it, one hand at a time.

A clock has 12 numbers. It also has two hands. The short hand is the hour hand and it tells the hour. The long hand is the minute hand and it tells the minutes.

When the long hand points to 12, it is an o'clock time. If the short hand is on 7, the time is 7 o'clock.

When the long hand points to 6, half an hour has passed. We say half past. The short hand is between two numbers. At half past 4 it is between 4 and 5.

When the long hand points to 3, it is quarter past. When it points to 9, it is quarter to the next hour.

The long hand moves 5 minutes for every number. On 1 it is 5 minutes, on 2 it is 10 minutes, on 3 it is 15 minutes, and so on. There are 60 minutes in 1 hour.

A clock showing half past 3A round clock face with the numbers 1 to 12 in their right places. The short hour hand points halfway between 3 and 4. The long minute hand points straight down at 6. The time is 3:30. 1 2 3 4 5 6 7 8 9 10 11 12 3:30 half past 3 Short hand: hours Long hand: minutes
At half past 3 the long hand is on 6 and the short hand is halfway between 3 and 4.

Worked examples

See how it works

  1. An o'clock time

    The short hand is on 7 and the long hand is on 12. The time is 7 o'clock. We write it as 7:00.

  2. Half past

    The long hand is on 6 and the short hand is between 4 and 5. The time is half past 4. We write 4:30, because 6 × 5 = 30 minutes.

  3. Quarter past and quarter to

    Long hand on 3 and short hand just past 9: quarter past 9, written 9:15. Long hand on 9 and short hand almost at 10: quarter to 10, written 9:45.

  4. Counting minutes in fives

    The long hand is on 4. Count in fives: 5, 10, 15, 20. So it is 20 minutes past the hour. If the short hand is just after 2, the time is 2:20.

Try it at home

Make your own clock

You will need

  • A sheet of paper or card
  • A pencil
  • A bowl or plate to trace
  • Two thin strips of card or paper, one short and one long

What to do

  1. Trace the bowl on the paper to draw a circle.
  2. Write 12 at the top, 6 at the bottom, 3 on the right and 9 on the left. Then fill in the other numbers.
  3. Place the short strip and the long strip on the middle of the clock as the two hands.
  4. Ask a family member to say a time such as half past 5. Move the strips to show it.
  5. Swap roles and let them show a time for you to read.

Ask a grown-up: An adult can help trace a neat circle and say times for the child to show. Tear the strips from paper by hand; no sharp tools are needed.

Fun fact

There are 60 minutes in an hour and 60 seconds in a minute.

Part two

Practice sheets

One sheet for each of the 4 lessons. Write your name and the date at the top, answer in the spaces, then check with the answer keys at the back.

Practice sheet

Counting and number names

Practice sheet: Counting and number names (Classes 1-2, Maths)

  1. What number comes after 19?
  2. Write the number name for 7.
  3. Fill in the blank: 10, 20, ___, 40.
  4. What number is 3 tens and 5 ones?
  5. Which is bigger, 48 or 84?
  6. Write the number name for 40.
  7. What number comes just before 60?
  8. Write the number for "sixteen".
  9. Fill in the missing numbers: 25, 26, ___, 28, ___.
  10. Put these in order, smallest first: 52, 25, 45.

Practice sheet

Adding and subtracting up to 100

Practice sheet: Adding and subtracting up to 100 (Classes 1-2, Maths)

  1. 5 + 4 = ?
  2. 12 + 7 = ?
  3. 20 + 30 = ?
  4. 45 + 23 = ?
  5. 36 + 27 = ?
  6. 18 − 9 = ?
  7. 50 − 20 = ?
  8. 78 − 35 = ?
  9. 61 − 24 = ?
  10. Meena has 46 marbles. She wins 28 more. How many marbles does she have now?
  11. A shop has 90 laddoos. It sells 45. How many laddoos are left?

Practice sheet

Shapes around us

Practice sheet: Shapes around us (Classes 1-2, Maths)

  1. How many sides does a triangle have?
  2. How many corners does a square have?
  3. Which shape has no corners?
  4. A cricket ball looks like which solid shape?
  5. A dice has the shape of which solid?
  6. What is the shape of a roti?
  7. Which has 4 equal sides: a rectangle or a square?
  8. A tin can looks like which solid shape?
  9. How many sides does a rectangle have?
  10. Name two things in your home that look like a rectangle.

Practice sheet

Reading the clock

Practice sheet: Reading the clock (Classes 1-2, Maths)

  1. Which hand is shorter on a clock, the hour hand or the minute hand?
  2. The long hand is on 12 and the short hand is on 5. What is the time?
  3. How many hours are there in one day?
  4. The long hand is on 6. How many minutes past the hour is it?
  5. Write "half past 8" using numbers.
  6. Write "quarter past 6" using numbers.
  7. The long hand is on 9 and the short hand is between 3 and 4. What is the time?
  8. How many minutes are there in one hour?
  9. School starts at 8 o'clock. Assembly begins half an hour later. At what time?
  10. The long hand is on 5. How many minutes past the hour is it?
  11. Which comes first, 2:15 or 2:45?

Part three

Answer keys

The answers to every practice sheet, in the same order as the lessons. Parents and teachers may like to keep these pages separately.

Answer key

Answers: Counting and number names

  1. 20
  2. Seven.
  3. 30
  4. 35 (30 and 5).
  5. 84, because 84 has 8 tens and 48 has only 4 tens.
  6. Forty.
  7. 59
  8. 16
  9. 27 and 29.
  10. 25, 45, 52.

Answer key

Answers: Adding and subtracting up to 100

  1. 9
  2. 19
  3. 50
  4. 68 (ones 5 + 3 = 8, tens 4 + 2 = 6).
  5. 63 (ones 6 + 7 = 13, write 3 and carry 1; tens 3 + 2 + 1 = 6).
  6. 9
  7. 30
  8. 43 (ones 8 − 5 = 3, tens 7 − 3 = 4).
  9. 37 (borrow: 11 − 4 = 7, then 5 − 2 = 3).
  10. 74 marbles (46 + 28 = 74).
  11. 45 laddoos (90 − 45 = 45).

Answer key

Answers: Shapes around us

  1. 3
  2. 4
  3. A circle.
  4. A sphere.
  5. A cube.
  6. A circle.
  7. A square. In a rectangle only the opposite sides are equal.
  8. A cylinder.
  9. 4 (two long sides and two short sides).
  10. Many answers are right, for example a door, a book, a window or a notebook.

Answer key

Answers: Reading the clock

  1. The hour hand.
  2. 5 o'clock (5:00).
  3. 24 hours.
  4. 30 minutes (half past).
  5. 8:30
  6. 6:15
  7. Quarter to 4, which is 3:45.
  8. 60 minutes.
  9. Half past 8, which is 8:30.
  10. 25 minutes (5 × 5 = 25).
  11. 2:15 comes first.

The end

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