Class 6 Math: Sample Question Paper – 4 | Sample Papers For Class 6 PDF Download

 Page 1


                                       
                                                        
  
 
                                  
 
NOTE :Attempt all the questions. 
? Section-A consists of 8 parts carrying 1 mark each 
? Section-B– Q2 to Q11 carry 2 marks each 
? Section-C– Q12 to Q20 carry 3 marks each 
? Section-D– Q21 to Q25 carry 5 marks each 
 
       
      SECTION A       [1 × 8 = 8] 
Q.1. Do as directed:- 
(i) 
100
5
 can also be written as 0.5 in decimal notation. State True or False. 
(j) Which is smaller 7.85 or 7.185? 
(k) If the price of a pen is Rs 18, then what will be the price of „x? notebooks? 
(l) Correct the statement: 
“Comparison of two quantities using division is called a proportion”. 
(m) The lowest term of the ratio 625:250 is ____________. 
(n) The amount of  surface enclosed by a closed figure is called its ___________ 
(o) The symbols which have a fixed numerical value are called _________. 
(p) A circle has __________ lines of symmetry. 
       
      SECTION B    [11 × 2 = 22] 
Q.2. Determine whether the given ratios are in proportion or not.  
 440 km : 200 km and Rs 55 : Rs 25 
Q.3. Divide Rs 8400 between Amit and Mohit in the ratio 5 : 7. 
Q.4. (i) Is 45 = (50 ÷ 10) + 40 is an equation with a variable? 
(ii) Write the algebraic expression for “Six times the product of a and b divided by 
 d”. 
Q.5. The length and breadth of a rectangle are denoted by k and l respectively. What will 
 be the formula for its area, if it is denoted by „a?? 
 
 
Page 2


                                       
                                                        
  
 
                                  
 
NOTE :Attempt all the questions. 
? Section-A consists of 8 parts carrying 1 mark each 
? Section-B– Q2 to Q11 carry 2 marks each 
? Section-C– Q12 to Q20 carry 3 marks each 
? Section-D– Q21 to Q25 carry 5 marks each 
 
       
      SECTION A       [1 × 8 = 8] 
Q.1. Do as directed:- 
(i) 
100
5
 can also be written as 0.5 in decimal notation. State True or False. 
(j) Which is smaller 7.85 or 7.185? 
(k) If the price of a pen is Rs 18, then what will be the price of „x? notebooks? 
(l) Correct the statement: 
“Comparison of two quantities using division is called a proportion”. 
(m) The lowest term of the ratio 625:250 is ____________. 
(n) The amount of  surface enclosed by a closed figure is called its ___________ 
(o) The symbols which have a fixed numerical value are called _________. 
(p) A circle has __________ lines of symmetry. 
       
      SECTION B    [11 × 2 = 22] 
Q.2. Determine whether the given ratios are in proportion or not.  
 440 km : 200 km and Rs 55 : Rs 25 
Q.3. Divide Rs 8400 between Amit and Mohit in the ratio 5 : 7. 
Q.4. (i) Is 45 = (50 ÷ 10) + 40 is an equation with a variable? 
(ii) Write the algebraic expression for “Six times the product of a and b divided by 
 d”. 
Q.5. The length and breadth of a rectangle are denoted by k and l respectively. What will 
 be the formula for its area, if it is denoted by „a?? 
 
 
                                       
                                                           
  
Q.6.    
 
 
(i) Convert the decimal number indicated by point R in fraction. 
(ii) Identify the decimal number indicated by point P. 
Q.7. Arrange in descending order 
58.3, 58.63, 58.5, 58.41 and 58.09 
Q.8. Convert: 
(i) 45 m 6 cm in metres 
(ii) 5 litres 75 millilitres in litres 
Q.9. Find the area of the square in sq m whose length of the side is 575 cm. 
Q.10. Find the length of the side of a square, if its perimeter is 3028 cm. 
Q.11. Apples are to be transferred from a larger box to the two smaller boxes, when a 
 larger box  is emptied, the apples from it fill these smaller boxes and still 13 
 apples remain outside. If  the number of apples in a smaller box is taken to be „c?, 
 what was the total number of  apples in the larger box? 
      SECTION C       [3 × 10 = 30] 
Q.12. Draw two circles of radius 2.5 cm and 5 cm respectively with the same centre „p?. 
 Mark a point „k? which is in the exterior of the smaller circle and in the interior of 
 the larger  circle. 
Q.13. Draw PQ of length 3 cm and YZ of length 5 cm. Construct a line segment of the 
 length 2PQ – YZ. 
Q.14. Draw any line segment AB. Take any point „E? on it. Through „E? draw a 
 perpendicular to AB with the help of ruler and compasses. 
Q.15. (i) Write the decimal number for 20 + 5 + 
10
1
 +
1000
3
 . 
(ii) Write 389.74 in words. 
Q.16. The total weight of three parcels is 48.057 kg. If two of them weigh 12.64 kg and 
 18.57 kg.  Find the weight of the third parcel? 
 
Q.17. The present ages of Ravi and Tanya are 22 years and 16 years, respectively. Find 
(i) The ratio of their present ages. 
Page 3


                                       
                                                        
  
 
                                  
 
NOTE :Attempt all the questions. 
? Section-A consists of 8 parts carrying 1 mark each 
? Section-B– Q2 to Q11 carry 2 marks each 
? Section-C– Q12 to Q20 carry 3 marks each 
? Section-D– Q21 to Q25 carry 5 marks each 
 
       
      SECTION A       [1 × 8 = 8] 
Q.1. Do as directed:- 
(i) 
100
5
 can also be written as 0.5 in decimal notation. State True or False. 
(j) Which is smaller 7.85 or 7.185? 
(k) If the price of a pen is Rs 18, then what will be the price of „x? notebooks? 
(l) Correct the statement: 
“Comparison of two quantities using division is called a proportion”. 
(m) The lowest term of the ratio 625:250 is ____________. 
(n) The amount of  surface enclosed by a closed figure is called its ___________ 
(o) The symbols which have a fixed numerical value are called _________. 
(p) A circle has __________ lines of symmetry. 
       
      SECTION B    [11 × 2 = 22] 
Q.2. Determine whether the given ratios are in proportion or not.  
 440 km : 200 km and Rs 55 : Rs 25 
Q.3. Divide Rs 8400 between Amit and Mohit in the ratio 5 : 7. 
Q.4. (i) Is 45 = (50 ÷ 10) + 40 is an equation with a variable? 
(ii) Write the algebraic expression for “Six times the product of a and b divided by 
 d”. 
Q.5. The length and breadth of a rectangle are denoted by k and l respectively. What will 
 be the formula for its area, if it is denoted by „a?? 
 
 
                                       
                                                           
  
Q.6.    
 
 
(i) Convert the decimal number indicated by point R in fraction. 
(ii) Identify the decimal number indicated by point P. 
Q.7. Arrange in descending order 
58.3, 58.63, 58.5, 58.41 and 58.09 
Q.8. Convert: 
(i) 45 m 6 cm in metres 
(ii) 5 litres 75 millilitres in litres 
Q.9. Find the area of the square in sq m whose length of the side is 575 cm. 
Q.10. Find the length of the side of a square, if its perimeter is 3028 cm. 
Q.11. Apples are to be transferred from a larger box to the two smaller boxes, when a 
 larger box  is emptied, the apples from it fill these smaller boxes and still 13 
 apples remain outside. If  the number of apples in a smaller box is taken to be „c?, 
 what was the total number of  apples in the larger box? 
      SECTION C       [3 × 10 = 30] 
Q.12. Draw two circles of radius 2.5 cm and 5 cm respectively with the same centre „p?. 
 Mark a point „k? which is in the exterior of the smaller circle and in the interior of 
 the larger  circle. 
Q.13. Draw PQ of length 3 cm and YZ of length 5 cm. Construct a line segment of the 
 length 2PQ – YZ. 
Q.14. Draw any line segment AB. Take any point „E? on it. Through „E? draw a 
 perpendicular to AB with the help of ruler and compasses. 
Q.15. (i) Write the decimal number for 20 + 5 + 
10
1
 +
1000
3
 . 
(ii) Write 389.74 in words. 
Q.16. The total weight of three parcels is 48.057 kg. If two of them weigh 12.64 kg and 
 18.57 kg.  Find the weight of the third parcel? 
 
Q.17. The present ages of Ravi and Tanya are 22 years and 16 years, respectively. Find 
(i) The ratio of their present ages. 
                                       
                                                          
  
(ii) Ravi?s age to the difference of their ages. 
(iii) Tanya?s age after 8 years to Ravi?s age after 8 years. 
Q.18. A room has rectangular floor of size 800 cm by 500 cm. A square carpet of side 100 
 cm is  laid on the floor. Find the area of the floor which is not covered with carpet. 
Q.19. Maya runs around a square park of side 60 m and takes 3 rounds of it. Kanchan 
 takes 4 rounds of a rectangular park of length 40 m and breadth 25 m. Find who 
 covers a lesser distance. 
 
Q.20. Esha?s father?s age is 4 times that of Esha?s, while her mother?s age is 3 times that of 
 her brother?s age, who is 4 years elder to Esha. If Esha?s age is „t? years, find the age 
 of each family member.  
 
                                                SECTION D              [4 × 5 = 20] 
Q.21. Four dozen bananas cost Rs 192. 
(iii) Find the cost of 35 bananas. 
(iv) How many bananas can be purchased in Rs 2284? 
Q.22. (i) Form an expression using k, 2 and 7 such that expression has k in it. Use only  
     two mathematical operations.  
 (ii)Pick out the solution from the given values in the bracket and show that the     
     other value does not satisfy the equation. 
4
y
 + 8= 10 (10, 8) 
(iii)What is the rule that gives the number of matchsticks required in terms of 
 number of alphabet „     ?. 
 
Q.23. (i) Draw an angle of 65° with the  help of protractor and construct a copy of it using  
     ruler and compasses. 
(ii) Construct with ruler and compasses an angle of 45 °. 
Q.24. Find the area and the perimeter of the given figure. 
 
 
 
 
9cm 
3 cm 
3 cm 
3 cm 
3 cm 
3 cm 
3 cm 
Page 4


                                       
                                                        
  
 
                                  
 
NOTE :Attempt all the questions. 
? Section-A consists of 8 parts carrying 1 mark each 
? Section-B– Q2 to Q11 carry 2 marks each 
? Section-C– Q12 to Q20 carry 3 marks each 
? Section-D– Q21 to Q25 carry 5 marks each 
 
       
      SECTION A       [1 × 8 = 8] 
Q.1. Do as directed:- 
(i) 
100
5
 can also be written as 0.5 in decimal notation. State True or False. 
(j) Which is smaller 7.85 or 7.185? 
(k) If the price of a pen is Rs 18, then what will be the price of „x? notebooks? 
(l) Correct the statement: 
“Comparison of two quantities using division is called a proportion”. 
(m) The lowest term of the ratio 625:250 is ____________. 
(n) The amount of  surface enclosed by a closed figure is called its ___________ 
(o) The symbols which have a fixed numerical value are called _________. 
(p) A circle has __________ lines of symmetry. 
       
      SECTION B    [11 × 2 = 22] 
Q.2. Determine whether the given ratios are in proportion or not.  
 440 km : 200 km and Rs 55 : Rs 25 
Q.3. Divide Rs 8400 between Amit and Mohit in the ratio 5 : 7. 
Q.4. (i) Is 45 = (50 ÷ 10) + 40 is an equation with a variable? 
(ii) Write the algebraic expression for “Six times the product of a and b divided by 
 d”. 
Q.5. The length and breadth of a rectangle are denoted by k and l respectively. What will 
 be the formula for its area, if it is denoted by „a?? 
 
 
                                       
                                                           
  
Q.6.    
 
 
(i) Convert the decimal number indicated by point R in fraction. 
(ii) Identify the decimal number indicated by point P. 
Q.7. Arrange in descending order 
58.3, 58.63, 58.5, 58.41 and 58.09 
Q.8. Convert: 
(i) 45 m 6 cm in metres 
(ii) 5 litres 75 millilitres in litres 
Q.9. Find the area of the square in sq m whose length of the side is 575 cm. 
Q.10. Find the length of the side of a square, if its perimeter is 3028 cm. 
Q.11. Apples are to be transferred from a larger box to the two smaller boxes, when a 
 larger box  is emptied, the apples from it fill these smaller boxes and still 13 
 apples remain outside. If  the number of apples in a smaller box is taken to be „c?, 
 what was the total number of  apples in the larger box? 
      SECTION C       [3 × 10 = 30] 
Q.12. Draw two circles of radius 2.5 cm and 5 cm respectively with the same centre „p?. 
 Mark a point „k? which is in the exterior of the smaller circle and in the interior of 
 the larger  circle. 
Q.13. Draw PQ of length 3 cm and YZ of length 5 cm. Construct a line segment of the 
 length 2PQ – YZ. 
Q.14. Draw any line segment AB. Take any point „E? on it. Through „E? draw a 
 perpendicular to AB with the help of ruler and compasses. 
Q.15. (i) Write the decimal number for 20 + 5 + 
10
1
 +
1000
3
 . 
(ii) Write 389.74 in words. 
Q.16. The total weight of three parcels is 48.057 kg. If two of them weigh 12.64 kg and 
 18.57 kg.  Find the weight of the third parcel? 
 
Q.17. The present ages of Ravi and Tanya are 22 years and 16 years, respectively. Find 
(i) The ratio of their present ages. 
                                       
                                                          
  
(ii) Ravi?s age to the difference of their ages. 
(iii) Tanya?s age after 8 years to Ravi?s age after 8 years. 
Q.18. A room has rectangular floor of size 800 cm by 500 cm. A square carpet of side 100 
 cm is  laid on the floor. Find the area of the floor which is not covered with carpet. 
Q.19. Maya runs around a square park of side 60 m and takes 3 rounds of it. Kanchan 
 takes 4 rounds of a rectangular park of length 40 m and breadth 25 m. Find who 
 covers a lesser distance. 
 
Q.20. Esha?s father?s age is 4 times that of Esha?s, while her mother?s age is 3 times that of 
 her brother?s age, who is 4 years elder to Esha. If Esha?s age is „t? years, find the age 
 of each family member.  
 
                                                SECTION D              [4 × 5 = 20] 
Q.21. Four dozen bananas cost Rs 192. 
(iii) Find the cost of 35 bananas. 
(iv) How many bananas can be purchased in Rs 2284? 
Q.22. (i) Form an expression using k, 2 and 7 such that expression has k in it. Use only  
     two mathematical operations.  
 (ii)Pick out the solution from the given values in the bracket and show that the     
     other value does not satisfy the equation. 
4
y
 + 8= 10 (10, 8) 
(iii)What is the rule that gives the number of matchsticks required in terms of 
 number of alphabet „     ?. 
 
Q.23. (i) Draw an angle of 65° with the  help of protractor and construct a copy of it using  
     ruler and compasses. 
(ii) Construct with ruler and compasses an angle of 45 °. 
Q.24. Find the area and the perimeter of the given figure. 
 
 
 
 
9cm 
3 cm 
3 cm 
3 cm 
3 cm 
3 cm 
3 cm 
                                       
                                                        
  
Q.25. (i) _________ is a figure with no line of symmetry. (Fill up) 
(ii)Rhombus has __________ lines of symmetry. (Fill up)   
(iii)Name 2 letters in English Alphabet with only vertical line of symmetry. 
 (iv)Draw a regular hexagon & draw its all lines of symmetry. 
 
 
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