RBSE Guide
Maths ·Class 8 Maths

Ganita Prakash Class 6 Solutions

R
RBSEGuide
· Jun 23, 2026 · Reviewed & updated Sep 17, 2026 · 22 min read

Class 6 Ganita Prakash Solutions

Ganita Prakash Book Class 6 Solutions

Chapter 1 Patterns in Mathematics Class 6 Solutions

  1. Can you think of other examples where mathematics helps us in our everyday lives? (Page 2)
  2. Can you recognise the pattern in each of the sequences in Table 1? (Page 3)
  3. Copy the pictorial representations of the number sequences in Table 2 in your notebook, and draw the next picture for each sequence! (Page 5)
  4. You will have noticed that 36 is both a triangular number and a square number
  5. Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? (Page 5-6)
  6. By drawing a similar picture, can you say what the sum of the first 10 odd numbers is? (Page 7)
  7. Can you find a similar pictorial explanation for why adding counting numbers up and down
  8. Which sequence do you get when you start to add the counting numbers up
  9. What happens when you start to add up powers of 2, starting with 1
  10. What happens when you multiply the triangular numbers by 6 and add 1?
  11. What happens when you start to add up hexagonal numbers? Can you explain it using a picture of a cube?
  12. Can you recognise the pattern in each of the sequences in Table 3?
  13. Count the number of sides in each shape in the sequence of Regular Polygons
  14. How many little triangles are there in each shape of the sequence of Stacked Triangles?
  15. Patterns in Mathematics Class 6 Notes
  16. Patterns in Mathematics Class 6 MCQ
  17. Patterns in Mathematics Class 6 Assertion and Reason Questions
  18. Patterns in Mathematics Class 6 Fill in the Blanks
  19. Which sequence shall be obtained if we start adding the terms of the sequence of odd numbers?
  20. In the sequence of triangular numbers 1, 3, 6, 10,..., what is the sixth term?
  21. 36 is a square number. Is it also a triangular number? If yes, which term of the sequence of triangular numbers is it?
  22. A pentagon is a polygon made up of five sides and it has five corners. Its corners are joined in pairs.
  23. Represent the triangular number 45 pictorially using dots. Represent the cube number 216 pictorially.

Chapter 2 Lines and Angles Class 6 Solutions

  1. Can you help Rihan and Sheetal find their answers? Name the line segments in the figure.
  2. Name the rays shown in the figure. Is T the starting point of each of these rays?
  3. In Figure 2.6, name Five points, A line, Four rays, Five line segments
  4. Can you find the angles in the given pictures? Draw the rays forming any one of the angles
  5. Explain why ∠APB cannot be labelled as ∠P. Name the angles marked in the given figure.
  6. Mark any three points on your paper that are not on one line. Label them A, B, C
  7. Now mark any four points on your paper so that no three of them are on one line
  8. Is it always easy to compare two angles? How will you compare them? (Page 21)
  9. Fold a rectangular sheet of paper, then draw a line along the fold created. Name and compare the angles
  10. In each case, determine which angle is greater and why. Which angle is greater?
  11. How many right angles do the windows of your classroom contain? Do you see other right angles in your classroom?
  12. Now join A to the other grid points in the figure by a straight line to get a right angle
  13. Get a slanting crease on the paper. Now, try to get another crease that is perpendicular to the slanting crease.
  14. Identify acute, right, obtuse, and straight angles in the previous figures. Make a few acute angles and a few obtuse angles.
  15. Find out the number of acute angles in each of the figures below. hat will be the next figure and how many acute angles will it have?
  16. The circle has been divided into 1, 2, 3, 4, 5, 6, 8, 9, 10, and 12 parts, as shown below. What are the degree measures of the resulting angles?
  17. Write the measures of the following angles. Notice that the vertex of this angle coincides with the centre of the protractor.
  18. Name the different angles in the figure and write their measures. (Pages 36-37)
  19. How can we measure angles directly without having to subtract? (Page 37)
  20. Find the degree measures of the following angles using your protractor.
  21. Find the degree measures for the angles given below. Check if your paper protractor can be used here!
  22. Measure and write the degree measures for each of the following angles
  23. Find the degree measures of ∠PQR, ∠PQS, and ∠PQT. Make the paper craft as per the given instructions.
  24. Measure all three angles of the triangle shown in Fig. 2.21 (a), and write the measures down near the respective angles.
  25. A student used a protractor to measure the angles as shown below. (Page 44)
  26. Where are the angles? Angles in a clock. The hands of a clock make different angles at different times.
  27. The angle of a door. Is it possible to express the amount by which a door is opened using an angle?
  28. Here is a toy with slanting slabs attached to its sides; the greater the angles or slopes of the slabs, the faster the balls roll.
  29. In Fig. 2.23, list all the angles possible. Did you find them all? Now, guess the measures of all the angles
  30. Use a protractor to draw angles having the following degree measures. Draw an angle whose degree measure is the same as the angle given below.
  31. In each of the grids below, join A to other grid points in the figure by a straight line to get
  32. Use a protractor to find the measure of each angle. Then classify each angle as acute, obtuse, right, or reflex.
  33. In this figure, ∠TER = 80°. What is the measure of ∠BET? What is the measure of ∠SET? (Page 53)
  34. Draw angles with the following degree measures. Estimate the size of each angle and then measure it with a protractor.
  35. Make any figure with three acute angles, one right angle and two obtuse angles.
  36. Draw the letter ‘M’ such that the angles on the sides are 40° each and the angle in the middle is 60°.
  37. The Ashoka Chakra has 24 spokes. What is the degree measure of the angle between two spokes next to each other?
  38. Lines and Angles Class 6 Notes
  39. Lines and Angles Class 6 MCQ
  40. Lines and Angles Class 6 Assertion and Reason Questions
  41. Lines and Angles Class 6 Fill in the Blanks
  42. An angle is said to be trisected if it is divided into three equal parts.
  43. How many line segments are there in the given figure? Name all of them.
  44. Use the given figure to write four rays, two acute angles, and two right angles.
  45. In the given figure, measure ∠ABC, ∠BDA, ∠BAD, ∠CAD, ∠DCA, and ∠ADC using a protractor.

Chapter 3 Number Play Class 6 Solutions

  1. Think about various situations where we use numbers. List five different situations in which numbers are used. (Page 55)
  2. Try answering the questions below and share your reasoning: Can the children rearrange themselves Class 6
  3. There are 5 children in a group, all of different heights. Can they stand such that four of them say '1' Class 6
  4. How would you rearrange the five children so that the maximum number of children say "2"? Class 6
  5. Fill the table below with only 4- digit numbers such that the supercells are exactly the coloured cells. Class 6
  6. Out of the 9 numbers, how many supercells are there in the table above? Class 6
  7. Can you fill a supercell table without repeating numbers such that there are no supercells? Why or why not? Class 6
  8. Fill a table such that the cell having the second largest number is not a supercell but the second Class 6
  9. Complete Table 2 with 5-digit numbers whose digits are '1', '0', '6', '3', and '9' in some order. Class 6
  10. Identify the numbers marked on the number lines below, and label the remaining positions. Class 6
  11. Find out how many numbers have two digits, three digits, four digits, and five digits: Class 6
  12. Find out the digit sums of all the numbers from 40 to 70. Share your observations with the class. Class 6
  13. Among the numbers 1-100, how many times will the digit '7' occur? Among the numbers 1-1000 Class 6
  14. Puzzle time I am a 5-digit palindrome. I am an odd number. Class 6
  15. But, will any year's calendar repeat again after some years? Will all dates and days in a year match exactly Class 6
  16. What is the sum of the smallest and largest 5-digit palindrome? What is their difference? Class 6
  17. Can we make 1,000 using the numbers in the middle? Why not? What about 14,000, 15,000 and 16,000? Class 6
  18. Write an example for each of the below scenarios whenever possible. Class 6
  19. Always, Sometimes, Never? Below are some statements. Think, explore and find out if each Class 6
  20. Share and discuss in class the different methods each of you used to solve these questions. Class 6
  21. Make some more Collatz sequences like those above, starting with your favourite whole numbers. Do you always reach 1? Class 6
  22. Number of times you blink your eyes or number of breaths you take : Class 6
  23. Try to guess within 30 seconds. Check your guess with your friends. Class 6
  24. Roshan wants to buy milk and 3 types of fruit to make fruit custard for 5 people. He estimates Class 6
  25. Earlier, people used to walk long distances as they had no other means of transport. Suppose you walk at your normal pace. Class 6
  26. There is only one supercell (number. greater than all its neighbours) in this grid. If you exchange two digits Class 6
  27. We are the group of 5-digit numbers between 35,000 and 75,000 such that all of our digits are odd. Class 6
  28. Write one 5-digit number and two 3-digit numbers such that their sum is 18,670. Class 6
  29. Recall the sequence of Powers of 2 from Chapter 1, Table 1. Why is the Collatz conjecture correct Class 6
  30. Number Play Class 6 Notes
  31. Number Play Class 6 MCQ
  32. Number Play Class 6 Assertion and Reason Questions
  33. Number Play Class 6 Fill in the Blanks
  34. Number Play Class 6 Very Short Question Answer
  35. Number Play Class 6 Short Question Answer
  36. Number Play Class 6 Long Question Answer

Chapter 4 Data Handling and Presentation Class 6 Solutions

  1. What would you do to find the most popular game among Naresh’s and Navya’s classmates? Class 6
  2. Pari wants to respond to the questions given below. Put a tick (✓) for the questions where she needs Class 6
  3. Complete the table to help Shri Nilesh to purchase the correct numbers of sweets: Class 6
  4. Help her to figure out the following: Class 6
  5. Write the names of a few trees you see around you. When you observe a tree on the way from your home to school Class 6
  6. Take a blank piece of paper and paste any small news item from a newspaper. Each student may Class 6
  7. Which mode Of travel is used by the most number of students? Class 6
  8. The following pictograph shows the number of books borrowed by students, in a week Class 6
  9. Answer the following questions using the bar graph : Class 6
  10. Why do you think the traffic was the heaviest between 7 am and 8 am? Class 6
  11. How much did the population of India increase over 50 years? How much did the population increase in each decade? Class 6
  12. Is the cost of education less than one-fourth the cost of food? Class 6
  13. Pooja collected data on the number of tickets sold at the Bhopal railway station for a few different cities Class 6
  14. Chinu listed the various means of transport that passed across the road in front of his house from 9 am to 10 am : Class 6
  15. Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah Class 6
  16. The following pictograph shows the number of tractors in five different villages. Class 6
  17. Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka’s Bagalkote and Vijaypura districts. Class 6
  18. A survey of 120 school students was conducted to find out which activity they preferred to do in their free time. Class 6
  19. Students and teachers of a primary school decided to plant tree saplings in the school campus Class 6
  20. The number of tigers in India went down drastically between 1900 and 1970. Project Tiger Class 6
  21. If you wanted to visually represent the data of the heights of the tallest persons in each class in your school Class 6
  22. Data Handling and Presentation Class 6 Notes
  23. Data Handling and Presentation Class 6 MCQ
  24. Data Handling and Presentation Class 6 Assertion and Reason Questions
  25. Data Handling and Presentation Class 6 Fill in the Blanks
  26. Data Handling and Presentation Class 6 Very Short Question Answer
  27. Data Handling and Presentation Class 6 Short Question Answer
  28. Data Handling and Presentation Class 6 Long Question Answer

Chapter 5 Prime Time Class 6 Solutions

  1. Find out other such numbers that are multiples of both 3 and 5. These numbers are called. Class 6
  2. What if the game was played till 900? How would your answers change? Class 6
  3. Let us now play the ‘idli-vada’ game different pairs of numbers : (a) 2 and 5 (b) 3 and 7 (c) 4 and 6. Class 6
  4. What jump size can reach both 15 and 30? There are multiple jump sizes possible. Try to find them all. Class 6
  5. Find all multiples of 40 that lie between 310 and 410. Class 6
  6. Find the common factors of: Class 6
  7. Anshu and his friends play the ‘idli- vada’ game with two numbers, which are both smaller than 10. The first time
  8. In the diagram (given in textbook), Guna has erased all the numbers except the common multiples. Class 6
  9. Find the smallest number that is a multiple of all the numbers from 1 to 10. Class 6
  10. Look at the list of primes till 100. What is the smallest difference between two successive primes? Class 6
  11. Write three pairs of prime numbers less than 20 whose sum is a multiple of 5. Class 6
  12. Twin primes are pairs of primes having a difference of 2. For example, 3 and 5 are twin primes. Class 6
  13. Which of the following numbers is the product of exactly three distinct prime numbers : 45, 60, 91, 105, 330? Class 6
  14. Which of the following pairs of numbers are co-prime? Class 6
  15. Make such pictures for the following : (а) 15 pegs, thread-gap of 10 (b) 10 pegs, thread-gap of 7 Class 6
  16. The prime factorisation of a number has one 2, two 3s, and one 11. What is the number? Class 6
  17. What is the smallest number whose prime factorisation has : Class 6
  18. Is the first number divisible by the second? Use prime factorisation. Class 6
  19. Guna says, “Any two prime numbers are co-prime”. Is he right? Class 6
  20. Numbers that are divisible by 2 are those that end with ‘O’, ‘2’, ‘4, ‘6’ or ‘8’. Do you agree? Class 6
  21. Consider these statements: (а) Only the last two digits matter when deciding if a given number is divisible by 4. Class 6
  22. Change the last two digits of 8560 so that the resulting number is a multiple of 8. Class 6
  23. 2024 is a leap year (as February has 29 days). Leap years occur in the years that are multiples of 4 Class 6
  24. Explore and find out if each statement is always true, sometimes true or never true. You can give examples Class 6
  25. The teacher asked if 14560 is divisible by all of 2, 4, 5, 8 and 10. Guna checked for divisibility Class 6
  26. Below are some boxes with four numbers in each box. Within each box try to say how each number Class 6
  27. Prime Time Class 6 Notes
  28. Prime Time Class 6 MCQ
  29. Prime Time Class 6 Assertion and Reason Questions
  30. Prime Time Class 6 Fill in the Blanks
  31. Prime Time Class 6 Very Short Question Answer
  32. Prime Time Class 6 Short Question Answer
  33. Prime Time Class 6 Long Question Answer

Chapter 6 Perimeter and Area Class 6 Solutions

  1. Find the missing terms: (а) Perimeter of a rectangle = 14 cm; breadth = 2 cm; length = ?. Class 6
  2. Find the length of the third side of a triangle having a perimeter of 55 cm and having two sides of length 20 cm Class 6
  3. Apiece of string is 36 cm long. What will be the length of each side, if it is used to form : Class 6
  4. Find out the total distance Akshi has covered in 5 rounds. Class 6
  5. Think and mark the positions as directed—(а) Mark ‘A’ at the point where Akshi will be after she ran 250 m. Class 6
  6. Akshi says that the perimeter of this triangle shape is 9 units. Toshi says it can’t be 9 units and the perimeter Class 6
  7. Find out the length of the boundary (i.e., the perimeter), of each of the other arrangements below. Class 6
  8. What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of ? 8 per hundred sq. m? Class 6
  9. By splitting the following figures into rectangles, find their areas (all measures are given in metres): Class 6
  10. Explore and figure out how many pieces have the same area. Class 6
  11. Which shape has more area: Shape D or F? Give reasons for your answer. Class 6
  12. Can you now figure out the area of the big square formed with all seven pieces in terms of the area of Shape C? Class 6
  13. Find the area of the following figures. Class 6
  14. On a squared grid paper (1 square = 1 square unit), make as many rectangles as you can Class 6
  15. Can you draw any inferences from this exercise? Please write it here. Class 6
  16. Find the area of blue triangle BAD. Class 6
  17. So, the area of triangle BAD is half of the area of the rectangle ABCD. Class 6
  18. Find the areas of the figures below by dividing them into rectangles and triangles. Class 6
  19. What is the smallest perimeter possible? Class 6
  20. Can you make other shaped figures for each of the above three perimeters, or is there only Class 6
  21. Below is the house plan of Charan. It is in a rectangular plot. Look at the plan. What do you notice? Class 6
  22. Some of the measurements are given. Class 6
  23. In each figure, find the missing value of either the length of a side or the area of a region. Class 6
  24. The area of a rectangular garden that is 50 m long is 1000 sq m. Find the width of the garden. Class 6
  25. Four flower beds having sides 2 m long and 1 m wide are dug at the four corners of a garden Class 6
  26. On a page in your book, draw a rectangular border that is 1 cm from the top and bottom Class 6
  27. A square piece of paper is folded in half. The square is then cut into two rectangles along the fold. Class 6
  28. Perimeter and Area Class 6 Notes
  29. Perimeter and Area Class 6 MCQ
  30. Perimeter and Area Class 6 Assertion and Reason Questions
  31. Perimeter and Area Class 6 Fill in the Blanks
  32. Perimeter and Area Class 6 Very Short Question Answer
  33. Perimeter and Area Class 6 Short Question Answer
  34. Perimeter and Area Class 6 Long Question Answer

Chapter 7 Fractions Class 6 Solutions

  1. Three guavas together weigh 1 kg. If they are roughly of the same size, each Class 6
  2. The big fish weighs 1/2 kg. The small one weighs 1/4 kg. Together they weigh Class 6
  3. The figures below show different fractional units of a whole chikki. How much of a whole chikki Class 6
  4. What will you get if you fold the previously-folded strip again into two equal parts? Class 6
  5. Continue this table of 1/2 for 2 more steps. Class 6
  6. Draw a picture and write an addition statement as above to show : Class 6
  7. Now, can you find the lengths of the various blue lines shown below? Fill in the boxes as well. Class 6
  8. Now, a unit is divided into 8 equal parts. Writ^ the appropriate fractions in your notebook. Class 6
  9. How many fractions lie between 0 and 1? Think, discuss with your classmates Class 6
  10. Write the fraction that gives the lengths of the black lines in the respective boxes. Class 6
  11. Carry out the following subtractions using Brahmagupta’s method : Class 6
  12. Solve the following problems : Jaya’s school is 7/10 km from her home. Class 6
  13. Can you find three different fractional units that add up to 1? It turns Class 6
  14. Fractions Class 6 Notes
  15. Fractions Class 6 MCQ
  16. Fractions Class 6 Assertion and Reason Questions
  17. Fractions Class 6 Fill in the Blanks
  18. Fractions Class 6 Very Short Question Answer
  19. Fractions Class 6 Short Question Answer
  20. Fractions Class 6 Long Question Answer

Chapter 8 Playing with Constructions Class 6 Solutions

  1. What radius should be taken in the compass to get this half circle? Class 6
  2. How do you draw these eyes with a compass? Class 6
  3. Draw the rectangle and four squares configuration on a dot paper. Class 6
  4. Draw a rectangle with sides of length 4 cm and 6 cm. After drawing, check if it satisfies Class 6
  5. Is it possible to construct a 4-sided figure in which— Class 6
  6. How will you keep track of the lengths XY for different positions of X and Y? Class 6
  7. How does the farthest distance between X and Y compare with the length of AC? BD? Class 6
  8. Can the rectangle now be completed? Class 6
  9. Give the lengths of the sides of a rectangle that cannot be divided into — Class 6
  10. Construct this. Choose measurements of your choice. Note that the larger 4-sided figure Class 6
  11. Square with Curves This is a square with 8 cm sidelengths. Class 6
  12. How should the rectangle be constructed so that the diagonal divides the opposite angles into equal parts? Class 6
  13. Construct a rectangle in which one of the diagonals divides the opposite angles into 50° and 40°. Class 6
  14. Construct a rectangle one of whose sides is 4 cm and the diagonal is of length 8 cm. Class 6
  15. Construct a bigger house in which all the sides are of length 7 cm. Class 6
  16. Playing with Constructions Class 6 Notes
  17. Playing with Constructions Class 6 MCQ
  18. Playing with Constructions Class 6 Fill in the Blanks
  19. Playing with Constructions Class 6 Very Short Question Answer
  20. Playing with Constructions Class 6 Short Question Answer
  21. Playing with Constructions Class 6 Long Question Answer

Chapter 9 Symmetry Class 6 Solutions

  1. Do you see any line of symmetry in the figures at the start of the chapter? What about in the picture of the cloud? Class 6
  2. We saw that the diagonal of a square is also a line of symmetry. Let us take a rectangle that is not a square. Class 6
  3. In each of the following figures, a hole was punched in a folded square sheet of paper and then the paper Class 6
  4. Here are some questions on paper cutting. Consider a vertical fold. We represent it this way : Class 6
  5. Suppose you have to get each of these shapes with some folds and a single straight cut. Class 6
  6. How many lines of symmetry do these shapes have? Class 6
  7. Find the lines of symmetry for the kolam below. Class 6
  8. Draw the following. In each case, the figure should contain at least one curved boundary. Class 6
  9. Copy the following drawing on squared paper. Complete each one of them so that the resulting figure Class 6
  10. Can you draw a figure with radial arms that has (а) exactly 5 angles of symmetry Class 6
  11. Find the angles of symmetry for the given figures about the point marked. Class 6
  12. In each case, the angles are the multiples of the smallest angle. You may wonder and ask Class 6
  13. Draw two figures other than a circle and a square that have both reflection Class 6
  14. In a figure, 60° is the smallest angle of symmetry. What are the other angles of symmetry Class 6
  15. This is a picture of the new Parliament Building in Delhi. Class 6
  16. How many angles of symmetry do the shapes in the first shape sequence Class 6
  17. How many lines of symmetry and angles of symmetry does Ashoka Chakra have? Class 6
  18. Symmetry Class 6 Notes
  19. Symmetry Class 6 MCQ
  20. Symmetry Class 6 Assertion and Reason Questions
  21. Symmetry Class 6 Fill in the Blanks
  22. Symmetry Class 6 Very Short Question Answer
  23. Symmetry Class 6 Short Question Answer
  24. Symmetry Class 6 Long Question Answer

Chapter 10 The Other Side of Zero Class 6 Solutions

  1. Can there be a number less than 0? Can you think of any ways to have less than 0 of something? Class 6
  2. Evaluate these expressions (you may think of them as Starting Floor + Movement by referring Class 6
  3. Write the inverses of these numbers : + 4, - 4, - 3, 0, + 2, - 1. Class 6
  4. Should we write -3 < - 4 or - 4 < - 3? Class 6
  5. If Floor A = - 12, Floor D = - 1 and Floor E = + 1 in the building shown on the right as a line Class 6
  6. Evaluate 15 - 5, 100 - 10 and 74 - 34 from this perspective. Class 6
  7. Complete these expressions. Class 6
  8. Try evaluating the following expressions by similarly drawing or imagining a suitable lift: Class 6
  9. Mark 3 positive numbers and 3 negative numbers on the number line above. Class 6
  10. What are (i) - 5 + 0 (ii) 7 + (- 7) (iii) -10 + 20 (iv) 10 - 20 (v) 7 - (- 7) Class 6
  11. Cancel the zero pairs in the following two sets of tokens. On what floor is the lift attendant in each case Class 6
  12. Complete the subtractions : (a) (- 5) - (- 7) (b) (+ 10) - (+ 13) (c) (- 7) - (- 9) (d) (+ 3) - (+ 8) Class 6
  13. Suppose you start with 0 rupees in your bank account, and then you have credits Class 6
  14. Looking at the geographical cross section fill in the respective heights Class 6
  15. What is the highest point above sea level on Earth? What is its height? Class 6
  16. Leh in Ladakh gets very cold during winter. The following is a table of temperature Class 6
  17. Complete the grids to make the required border sum. Class 6
  18. Which other grids can be filled in multiple ways? What could be the reason? Class 6
  19. Play the same game with the grids below. What answer did you get? Class 6
  20. Write all the integers between the given pairs, in increasing order. Class 6
  21. Find the years below. (а) From the present year, which year Class 6
  22. Here are six integer cards : You can pick any of these and make an expression Class 6
  23. Can you explain each of Brahmagupta’s rules in terms of Bela’s Building of Fun Class 6
  24. The Other Side of Zero Class 6 Notes
  25. The Other Side of Zero Class 6 MCQ
  26. The Other Side of Zero Class 6 Assertion and Reason Questions
  27. The Other Side of Zero Class 6 Fill in the Blanks
  28. The Other Side of Zero Class 6 Very Short Question Answer
  29. The Other Side of Zero Class 6 Short Question Answer
  30. The Other Side of Zero Class 6 Long Question Answer