SA-2 , Revision Set of Problems - Class VI

Revision on Algebra

1.      If a=5,b=6 then find the value of           (a)     (a+b)(a-b)      (b)     5(a+b) (c)  (axb)xc=ax(bxc)

2.     Harsha’s score in Mathematics is 15 more than three-fourth of her score in science.If she score x marks in science,find her score in mathematics.

3.     Solve 3y +2 =11 and verify your answer

4.     . Ramu is 3 times as old as Bhima and Bhima is 5 years older than Krishna . If Bhima age is 15 years now then find           a) Find the sum of ages of Ramu and Krishna                           (b)Find the sum of ages of Ramu and Bhima 3 years ago

5.       If Meera’s presented age is x years determine

a) Meera’s age 3 years ago

b)Meera’s grandfather’s age which is 6 times her age .

c) Meera’s father’s age is 5 years more than 3 times her age .What is her father’s age.

d)Meera’s age is 5 years from now

e)Meera’s grandmother is 2 years younger than her grandfather.What is grandmother’s age?

6.     The length of an edge of a cube l .Find the formula for the sum of lengths of all the edges of the cube.

7.     Write expressions for the following

(a)             7 added to p                                (b)11 subtracted from 2m

©  -p divided by 5        (d)Y is multiplied by -8 and then 5 is added to the result

(e) 6 more than thrice a number x.       (f)3 less than quotient of x by y/

8.A cuboidal box has height h cm. Its length is 5 times the height and breadth is 10cm less than the length. Express the length and the breadth of the box in terms of height

9. Pick the solution from the values from the values given in the bracket next to the equation .Show that the  other values do not satisfy the value:

(i) x+7=3      (3,4,-4,-7)

(ii)  3y-2 =16    (3,6,9,2)

10.Change the following statement using expressions iinto statements in ordinary language

(a) a note book cost rs p.A book costs rs 3p.

(b) The total number of students in the school is 20 times that of our classes.

 REVISION ON DECIMALS

11.)   Write the decimals in expanded form

a)   267.5    b)803.207      c)7.008

2.Write the decimals numbers in words

a)7200.812   b)2.08  c)205.9  d)4307.60

3.convert into like decimals

a)5.6 ,89.65 ,0.265   b)0.1 ,0.21 ,0.321 ,0.36987

4.Express the following fractions as decimal numbers:

a)    b)     c)5

5.convert the following decimal numbers to fractions (in lowest terms)

a)0.25  b)23.085   c)0.092  d)3.058

6.Evaluate the following

a)3.791+46.405+9.21+7.0

b)8.79+23.001+5.41+0.875

c)19.27-3.6-8.812+0.84

d)6.4-2.351-1.45-0.999

7). What number added to 0.756 gives 1?

8). Express as

a)metres using 7m 55cm

b)km using 15km88m

c)rupees using 63 rupees 9 paise

d)kg using 5kg 8g.

9).Akash bought vegetables weighing 10kg. Out of this ,3kg 500g is onion,2kg75g is tomatoes and the rest is potatoes.What is the weight of potatoes.

10)Tina had20m 5cm long cloth .She cuts 4m 50cm length of cloth from this for making a curtain .How much length of cloth is left with her?

11)Ramesh bought a book worth ₹143.60 from a bookseller.She gave him a 500 rupee note,how much balance did she get back?

12)Namitha travels 20km 50m everyday.Out of this she travels 10km 200m by bus and the rest by auto.How much distance does she travel by auto?

REVISION ON INTEGERS

1.Find the value of :

a)-77+(-84)+318       b)-65+(-76)-(-28)+32    c)6-3-(-5)

d)-121-(-78)+(-193)+576      d)71-(-25)+37-18+(-11)

2. Evaluate the following

a)-190-(-3512)     b)-2718-(+6827)    c)1309+(-2811)

d)-1083+(-3974)       e)(-131)+97     f)-9+(-11)    g)-203+501

3.Write each of the following using appropriate sign “+” or”-“

a)gain of 3kg weight      b)earning rs1894    c)loss of rs560

d)240m below sealevel    e)depositing rs2500 in a bank

4.Arrange in A.O and D.O

a)-5,3,0,-35,31          b) -101,95,-3,-8,36,-7,-84

5.Write four consecutive integers just a)greater than -9  b)before -2

6.A man travelled 137km to east of Bangalore and then 235km to the west from the point .How far from Banglore was he finally?

7.The sum of two integers is 17.If one of them is -35 find the other

8.Write three consecutive integers succeeding -29.

9.Write three consecutive integers preceding -531.

10.Rashmi deposited rs4370 in her account on Monday and then withdrew rs2875 on Tuesday next day she deposited rs1550.What was her balance on Thursday? 

 Revision on Mensuration

1.     Find the perimeter of the regular pentagon of side 6cm

2.     How many square tiles of side 18 cm will be required to pave the floor of a rectangular room of 5.4 m×4.8 m

3.     .A floor is 5m long and 4m wide .A square carpet of side 3m is laid on the floor .Find the area of the floor that is not carpeted.

4.     A square and a rectangle have equal area.If a side of a square is 24cm and the length of the rectangle is 32cm ,find :

(i)                 The breadth of the rectangle

(ii)               The perimeter of the rectangle

5.     Find the distance travelled by ashu if he takes 7rounds of a square park of side 90m.

6.     Find the cost of the fencing a square park of side 250m at the rate of rs 20 per  meter .

7.     .Find the area and perimeter of square plot of side 13m.

8.       How many tiles whose length and breadth are 12cm and 5cm respectively will be needed to cover a rectangular region whose length and breadth are respectively.   A)70cm  and 36cm      b) 144cm and 1m 

PRACTICAL GEOMETRY

1.Let A,B be the centres of two circles of equal radii, draw  them so that each one of them passes through the centre of the other. Let them intersect at C and D .Examine whether line segment AB and CD are at right angles 

2. Draw a perpendicular bisector of line segment AB whose length is 8.3 cm

(a)Take any point P on the bisector drawn. Examine whether PA=PB.

(b)If M is Midnight of line segment AB, What can you say about the length MA and MY .

3. Draw a circle of radius 3.2cm.

4. Draw an angle of 152̊ and divide it into four equal parts and write the steps of construction.

5. Construct an angle  with the help of compass and write its construction steps

6.Draw an ∟ABC draw ∟ABC=∟DEF using compass

6.Give reasons for the following .

i)                   A square can be thought of as a special rectangle

ii)                 A square is also a parallogram.

iii)               Asquare can be thought of as a special rhombus.

7.Draw a rough sketch of pentagon and draw its diagonals.

8.Where will the hand of a clock stop if it starts at 12 makes half of a revolution ,clockwise?

FRACTIONS

1.      Simplify the following :

              (i)    -            (ii)    + 

2.      One day a labourer earned ₹58.Out of this money, he spent ₹18  on food and ₹6 on other needs. How much is left with him?

3.      Write the following in the ascending order                                                                                   (a),,              (b) ,,,                       (c),,,

4.       Descending order

     ,    ,      ,

5.      The sum of two numbers is 1 if one of them is  then find the other number and find the difference between them

6.      Convert the mixed fractions into improper fractions                                                              (a)        3         (b)    6       (c)    7      (d)     11

7.     Simplify the following

(a)+-        (b) 3 – 1   -

8.Rafiq exercised for   for an  hour ,while Rohit ,Exercised for    of an hour.Who exercised for a longer time and by what fraction of an hour?

9.Javid takes 2 minutes to walk across the school ground.Rahul takes 2 minutes to do the same. Who takes less time and by what fraction?

 VI Revision test-1

1.   Find the value of :

a)   6-3-(-5)                 b)71-(-25)+37-18+(-11)

2.  If Ramya’s presented age is x years determine

a) Ramya’s age 3 years ago

b)Ramya’s grandfather’s age which is 6 times her age .

c) Ramya’s father’s age is 5 years more than 3 times her age .What is her father’s age.

2.   Suguna deposited ₹4370 in her account on Monday and then withdrew ₹2875 on Tuesday. Next day she deposited ₹1550.What was her balance on Thursday. 

3.   Write each of the following decimal numbers :

                    a) 56.078 in number name       b)309.125 in expanded form

4.   In a school ,36 students of class VI were asked about the number of their family members.Their answers were recorded as follows:    

4,6,5,3,7,8,4,6,9,5,7,5,5,6,4,5,7,8,3,4,5,4,5,5,6,8,7,4,3,6,5,4,7,5,6,4

(i)              Construct frequency distribution table for the above data

(ii)           What is the number of families having 4 members or less members?

(iii)        What is the number of families having 7 members or more members?

5.If a=8,b=10 then find the value of           (a)     (a+b)(a-b)      (b)     7(a+b)

6.Solve 3y +2 =11 and verify your answer

7.Find the value of       (a) -18+(-12)-(-19)+5     (b) 7-(-6)+(-7)-(-3)

8.Express the following liters in decimals                                                                          (a) 568ml                 (b) 47ml           (c) 8ml              (d) 1548ml                      (e) 19liters 365ml                  

9.Vinit is 3 times as old as Vinit and Sambu is 5 years older than Krishna . If Sambu age is 15 years now then find                                                                  (a) Find the sum of ages of Vinit and Krishna                                           (b)Find the sum of ages of Vinit and Sambu 3 years ago

10.. In a mathematics test following marks are obtained by 30 students (out of 10)

   8,1,3,7,6,5,5,4,4,2,4,9,5,3,7,1,6,5,2,7,7,3,8,4,2,8,9,5,8,6                    

Arrange the marks in the table using tally marks and find out how many students obtained

(a) Less than 4 marks          (b) 4 or more than 4 marks

11. Akash bought vegetables weighing 10kg. Out of this ,3kg 500g is onion,2kg75g is tomatoes and the rest is potatoes.What is the weight of potatoes.