CLASS 6 MATHS CHAPTER Class 6 Maths Chapter 3 Playing with Numbers EXTRA QUESTIONS

 CLASS 6 MATHS CHAPTER Class 6 Maths Chapter 3 Playing with Numbers 

EXTRA QUESTIONS 

Question 1:

Solve the following problems.
(1) On the playground, if the children are made to stand for drill either 20 to a row or 25 to a row, all rows are complete and no child is left out. What is the lowest possible number of children in that school?

(2) Veena has some beads. She wants to make necklaces with an equal number of beads in each. If she makes necklaces of 16 or 24 or 40 beads, there is no bead left over. What is the least number of beads with her?

(3) An equal number of laddoos have been placed in 3 different boxes. The laddoos in the first box were distributed among 20 children equally, the laddoos in the second box among 24 children and those in the third box among 12 children. Not a single laddoo was left over. Then, what was the minimum number of laddoos in the three boxes altogether?

(4) We observed the traffic lights at three different squares on the same big road. They turn green every 60 seconds, 120 seconds and 24 seconds. When the signals were switched on at 8 o’clock in the morning, all the lights were green. How long after that will all three signals turn green simultaneously again?

(5) Given the fractions 1345$\frac{13}{45}$ and 2275$\frac{22}{75}$. write their equivalent fractions with same denominators and add the fractions.

Question 2:

Write all the factors of the given numbers and list their common factors.
(1) 12, 16  (2) 21, 24    (3) 25, 30   (4) 24, 25    (5) 56, 72

Question 3:

Find the HCF of the following numbers.
(1) 45, 30   (2) 16, 48   (3) 39, 25    (4) 49, 56     (5) 120, 144
(6) 81, 99   (7) 24, 36   (8) 25, 75    (9) 48, 54    (10) 150, 225

Question 4:

If large square beds of equal size are to be made for planting vegetables on a plot of land 18 metres long and 15 metres wide, what is the maximum possible length of each bed?

Question 5:

Two ropes, one 8 metres long and the other 12 metres long are to be cut into pieces of the same length. What will the maximum possible length of each piece be ?

Question 6:

The number of students of Std 6th and Std 7th who went to visit the Tadoba Tiger Project at Chandrapur was 140 and 196 respectively. The students of each class are to be divided into groups of the same number of students. Each group can have a paid guide. What is the maximum number of students there can be in each group ? Why do you think each group should have the maximum possible number of students?

Question 7:

At the Rice Research Centre at Tumsar, there are 2610 kg of seeds of the basmati variety and 1980 kg of the Indrayani variety. If the maximum possible weight of seeds has to be filled to make bags of equal weight what should be the weight of each bag ? How many bags of each variety will there be ?

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