Text Book Solutions All Class

Q1: Look at the design shown. Does the design show symmetry? If yes, describe where the line of symmetry will be.

Ans: Yes, the design shows symmetry. A line of symmetry can be drawn in the middle, dividing the design into two equal left and right parts.

Q2: A necklace is made using 12 beads. How many beads should be placed on each side of the centre to make the necklace symmetrical? Explain.
Ans: To make the necklace symmetrical, the beads must be equally placed on both sides of the centre. So, 6 beads should be placed on each side.

Q3: Four patterns are shown. Only two of the patterns are symmetrical. Identify them and give one reason for each.

Ans: The first design and the third design are symmetrical.

Q4: A design is symmetrical along a vertical line. Which part of the design must be repeated on the other side to complete it?
Ans: The same shapes, colours, and positions on one side of the vertical line must be repeated on the other side in the same order.

Q5: Look at the shapes placed on a dot grid. Which of these shapes can be completed to make a symmetrical figure?

Ans: The shapes that can be divided into two halves along a line can be completed to make symmetrical figures.

Q6: Two masks are shown. A child says both masks are symmetrical because they look similar. Do you agree? Give a mathematical reason.

Ans: No, both masks are not symmetrical. A mask is symmetrical only if both sides are exactly the same in shape and size. Looking similar is not enough for symmetry.

Q7: Objects are placed on one side of a line. Where should the objects be placed on the other side so that the arrangement becomes a mirror image?

Ans: The objects should be placed at the same distance from the line on the opposite side, in exactly opposite positions, to form a mirror image.

Q8: Some tiles are missing from the floor pattern. Choose the correct shape of tile to fill the gaps so that the pattern is completed without gaps or overlaps. Explain your choice.

Ans: The correct tile is the one that fits exactly into the gap without leaving spaces or overlapping other tiles and follows the pattern.

Q9: Look at the following signs. Guess what each sign means and write one place where you might see it.

Ans: These signs give information about the Parking and Hospital

Q10: Two different paths can be used to reach the same shop. How can both paths be correct? What does this tell you about finding routes?

Ans: Both paths are correct because they lead to the same place, even though they are different. This shows that there can be more than one way to reach a place.

Q1: Look at the calendar shown(a) How many Sundays are there in this month?
(b) Which date comes just before the 18th?
Ans:
(a) There are 4 Sundays in this month.
(b) The date just before the 18th is the 17th.

Q2: Rina’s birthday is on 12 March. Her brother’s birthday is on 25 March. How many days after Rina’s birthday is her brother’s birthday?

Ans: From 12 March to 25 March, there are 13 days.
So, her brother’s birthday is 13 days after Rina’s birthday.

Q3: Study the clocks shown. Which clock shows a later time? Write the time shown on both clocks.
Ans:
The clocks show 3:00 and 5:00.
5:00 is the later time.

Q4: Look at the clock carefully.(a) What time is shown?
(b) What will be the time after 30 minutes?

Ans:
(a) The time shown is 7:30.
(b) After 30 minutes, the time will be 8:00.

Q5: The pictures show different activities. Write a suitable time of day for each activity.
Ans:
Sleeping – Night
School – Morning
Playing – Evening
Eating dinner – Night

Q6: A school starts at 9:00 am and ends at 2:00 pm. How long does the school remain open?
Ans:
From 9:00 am to 2:00 pm is 5 hours.
So, the school remains open for 5 hours.

Q7: Look at the timeline of a day.Morning → Afternoon → Evening → Night

Arrange the following activities in the order they usually happen: Dinner, School, Breakfast, Sleeping
Ans:Breakfast → School → Dinner → Sleeping

Q8: Meena is 8 years old. Her mother is 32 years old.(a) Who is older?
(b) How many years older is Meena’s mother?

Ans:
(a) Meena’s mother is older.
(b) 32 − 8 = 24 years.
Meena’s mother is 24 years older.

Q9: Two activities are shown below.Brushing Teeth and Watching a Movie(a) Which activity takes more time?
(b) Write a suitable unit of time for each activity.

Ans:
(a) Watching a movie takes more time.
(b) Brushing teeth – minutes; Watching a movie – hours

Q10: Look at the clock shown.(a) Write the time shown on the clock.
(b) Write the same time in digital form.

Ans:
(a) The time shown is quarter past 4.

(b) The digital time is 4:15.

Q1: Look at the number grid and answer the questions.

461	462	463
471	472	473
481	482	483

(a) What is the difference between 462 and 472?
(b) What number will come just below 463?
Ans:
(a) The difference between 462 and 472 is 10.
(b) The number just below 463 is 473.

Q2: Write the expanded form of 506 and explain why.

Ans: 506 = 500 + 0 + 6. There is no tens value because the tens digit is 0. 

Q3: Complete the table to show different ways of making the same amount.

Total Amount	One Way	Another Way
₹100	₹50 + ₹50	?

Ans: ₹100 can also be made using ₹20 + ₹20 + ₹20 + ₹20 + ₹20.

Q4: Fill the table and answer the question.

Number	After adding 10	After adding 100
375	385	475

Ans: Adding 10 increases the tens place, and adding 100 increases the hundreds place.

Q5: Arrange the following numbers from smallest to greatest using place value reasoning: 709, 790, 700, 770.
Ans: 700, 709, 770, 790.

Q6: With ₹100, Riya can buy 2 packets of biscuits. With the same ₹100, Aman can buy 5 pencils.(a) Which item costs more: one packet of biscuits or one pencil?
(b) Explain your answer using numbers.
Ans:
(a) One packet of biscuits costs 50 rupees so it costs more.
(b) ₹100 buys only 2 biscuit packets, but it buys 5 pencils. So, each biscuit packet costs more than one pencil.

Q7: Estimate the answer to the nearest hundred: 456 + 138.
Ans: 456 ≈ 500 and 138 ≈ 100. Estimated answer = 600.

Q8: Without calculating, find which is more and explain: 500 − 48 or 500 − 52.
Ans: 500 − 48 is more because a smaller number is being subtracted.

Q9: Fill the table and answer.

Amount in the morning	Amount in the evening	Money earned
₹ 385	₹ 620	?

Ans: Money earned = 620 − 385 = ₹235.

Q10: Using the digits 2, 5, and 8 only once, make two 3-digit numbers such that their difference is the smallest.
Ans: 258 and 285 give the smallest difference of 27.

Q1: A jug fills 6 identical glasses. Another jug fills 9 of the same glasses. Which jug has greater capacity? How much greater is it in terms of glasses?
Ans: Jug B has greater capacity. It holds the amount of 3 more glasses than Jug A.

Jug	Number of Glasses Filled
Jug A	6
Jug B	9

Q2: Look at the balance and answer. Which object is heavier and why? 

Ans: The book is heavier because its side of the balance goes down.

Q3: Three children use different glasses to drink milk. After pouring each glass into the same measuring cup, the amounts are equal. What does this show about the glasses?

Ans: This shows that even though the glasses look different, they all have the same capacity.

Q4: Look at the table and answer: Which vessel has the least capacity?

Vessel	Number of Ladles Needed
Jug	14
Bowl	7
Glass	4

Ans: The glass has the least capacity because it needs the fewest ladles.

Q5: A container holds exactly 1 litre of water. Which of the following must be true: a mug that fills it twice or a mug that fills it four times? Explain.
Ans: If a mug fills the container four times, the mug has a smaller capacity. If it fills it twice, the mug has larger capacity. So, the mug that fills it four times is smaller.

Q6: A bucket is filled using two different mugs. Mug A fills it in 8 pours. Mug B fills it in 12 pours. Which mug has greater capacity? Give a reason.

Ans: Mug A has a greater capacity because fewer pours are needed to fill the bucket.

Q7: A bowl fills 4 glasses. A bottle fills 2 bowls. How many glasses will the bottle fill?
Ans: Total glasses = 2 × 4 = 8 glasses.

Relation	Value
1 bowl = glasses	4
1 bottle = bowls	2

Q8: An object balances with 6 identical coins. Another object balances with 9 of the same coins. Which object is heavier? How do you know?
Ans: The object that balances with 9 coins is heavier because it needs more coins to balance.

Q9: Arrange the objects from lightest to heaviest.

Object	Number of Erasers Used to Balance
Sharpener	2
Pencil box	5
School bag	11

Ans: Sharpener → Pencil box → School bag.

Q10: A shopkeeper uses a 1-litre measuring cup. He pours water into a vessel and needs the cup exactly 3 times. What is the capacity of the vessel? Write the answer with unit.
Ans: The capacity of the vessel is 3 litres.

Q1: Two ribbons are placed side by side. Ribbon A is longer than Ribbon B. How can you clearly show which ribbon is longer without measuring with numbers?
Ans: I will keep both ribbons together from one end. The ribbon which goes farther is the longer one.

Q2: Riya measures a table using her handspan and gets 8 handspans. Aman measures the same table and gets 10 handspans. Will both measurements be correct? Give a reason.

Ans: Yes, both can be correct because Riya’s handspan and Aman’s handspan are not the same size.

Q3: Which tool is most suitable to measure the length of a classroom wall: pencil, handspan, metre rope, or eraser? Explain why.
Ans: A metre rope is best because the wall is long and the rope can measure it easily.

Q4: A table is too heavy to move near the classroom door. How can you check whether the table can pass through the door without lifting it?
Ans: I can measure the table and the door with the same rope and then see if the table is wider than the door.

Q5: Measuring a saree with a pencil takes a long time. Why is a metre rod or metre rope better?
Ans: A metre rod is longer than a pencil, so we can measure big things faster.

Q6: A rope is exactly one metre long. (a) What will be its length if folded into two equal parts? (b) What will be the length of each part if folded into four equal parts?
Ans: (a) Each part will be half a metre. (b) Each part will be a quarter metre.

Q7: Write the names of two objects for each category.
Ans:
Less than 1 metre: pencil, book
Equal to 1 metre: metre rope, table height
More than 1 metre: door, blackboard

Q8: Estimate the length of your classroom desk in metres. How will you check whether your estimate is close?
Ans: First, I will guess the length. Then I will measure it using a metre rope to check my guess.

Q9: “All children have the same height as the length of their arms stretched out.” True or False. Give a reason.
Ans: False, because every child is different in height and arm length.

Q10: Four children jumped from a start line. A jumped more than half a metre, B less than half a metre, C more than one metre, and D less than a quarter metre. Who jumped the farthest and who jumped the shortest?
Ans: Child C jumped the farthest and child D jumped the shortest.

Q1: Write the number shown by the place value blocks.

Hundreds	Tens	Ones
5	2	7

Ans: The number formed is 527.

Q2: Write the expanded form of the number 684.
Ans:

Place Value	Value
Hundreds	600
Tens	80
Ones	4

So, 684 = 600 + 80 + 4.

Q3: Between which two hundreds does the number 742 lie?
Ans:

Lower Hundred	Number	Higher Hundred
700	742	800

So, 742 lies between 700 and 800.

Q4: Write the neighbouring tens of the number 395.
Ans:

Previous Ten	Number	Next Ten
390	395	400

The neighbouring tens are 390 and 400.

Q5: Which number is greater: 608 or 680? Give a reason using place value.
Ans:

Number	Hundreds	Tens	Ones
608	6	0	8
680	6	8	0

Both numbers have 6 hundreds, but 680 has more tens. So, 680 is greater.

Q6: Arrange the following numbers from smallest to greatest: 845, 804, 840, 815.
Ans:

Number	Hundreds	Tens	Ones
804	8	0	4
815	8	1	5
840	8	4	0
845	8	4	5

So, the order is: 804, 815, 840, 845.

Q7: What is Bhutasankhya and how is it used to show numbers?
Ans: Bhutasankhya is a way of showing numbers using words or objects that represent numbers.

Q8: How many tens are there in the number 430?
Ans:

Total Number	Number of Tens
430	43

There are 43 tens in 430.

Q9: Add 50 to the number 368 and write the answer.

Starting Number	Add	Result
368	+50	___

Ans: 418

Q10: Write any one number that lies between 599 and 610.

Lower Number	Chosen Number	Higher Number
599	____	610

Ans: 605 lies between 599 and 610.

Lower Number	Chosen Number	Higher Number
599	605	610

Q1: A square is divided into two equal parts. What fraction of the square is one part? 
Ans: One part is one-half because the whole square is divided into two equal parts.

Q2: A shape is divided into two parts, but one part is bigger than the other. Can any part be called a half? 
Ans: No, a part can be called a half only when both parts are equal in size.

Q3: Two identical pieces are joined together to form one shape. What can each piece be called?
Ans: Each piece can be called a half because two halves make one whole.

Q4: A rectangle is divided into four equal parts. What fraction does one part represent?Ans: One part represents one quarter because the whole is divided into four equal parts.

Q5: One quarter of a shape is shaded. How many such quarters are needed to make the whole shape?Ans: Four quarters are needed to make one whole.

Q6: Which is larger: one-half or one quarter of the same whole? Give a mathematical reason. Ans: One half is larger because a whole is divided into only two equal parts for halves, but into four equal parts for quarters.

Q7: A rope is cut into two equal pieces. What fraction of the rope is one piece?Ans: One piece is one-half of the rope because it is one of two equal parts.

Q8: Four equal pieces together make one whole. What is each piece called? 
Ans: Each piece is called one quarter because four equal parts make one whole.

Q9: One child has 3 pencils and another child has 6 pencils. How are these two numbers related?Ans: 3 is half of 6 and 6 is double of 3.

Q10: If a number is doubled and becomes 16, what was the original number? Explain. 
Ans: The original number was 8 because doubling 8 gives 16, and half of 16 is 8.