worksheet vii

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					                             BIRLA PUBLIC SCHOOL

                                   DOHA ,QATAR

              MATHEMATICS QUESTION BANK FOR CLASS SEVEN

    ALGEBRAIC EXPRESSIONS

    DATA HANDLING

    SIMPLE EQUATIONS


ALGEBRAIC EXPRESSIONS

If a=2 and b=3 find the value of

    a+b                        a²+ b²                ab-a²


If p=-2 q= -1 and z=5 find the value of:

p²+q²- r²

3p²q + 5pq² + 2pqr

p-q-r

Write the numerical co-efficient of

ab          7xyz                z+4xz+3x         7xyz
-6bc        -12a+4b                4(l+b)
                                                 -12a+4b



Write the coefficient of

x in 13xy

y in -5y

a in 6ab
z in -7xyz

y² in 8xy²z

Identify the monomials,binomials and trinomials in the following

-2xyz

5+3xy

-5x²

x +2y -3

2x+6x

100+2

Addition of algebraic expressions

x-3y-2z,5x+7y-z,-7x-2y+4z              2x²-8xy +7y²-8xy²,2xy²+6xy-y²+3x²

m²-4m +5,-2m²+6m-6,m²-2m-7

8a-6ab+5, -6a-ab-8b,-4a+2ab +3b



Subtraction of algebraic expressions

5a +7b-2c from 3a-7b +4c            a-2b-3c from -2a +5b-4c


4a+3b from 2a +2b-4                 x²+y² from 5x²+3y²+2

5x²-3xy +y² from 7x² -2xy-4y²       -11xy+6x-3 from 9xy-4x+4
   From the sum of 3x²-5x+2 and -5x²- 8x +6 subtract 4x²- 9x +7


   From the sum of 4x²- 6x+3 and -4x² -7x +5 subtract 3x²-8x+6


   What should be added to a² +2ab+b² to get 4ab +b²


   What should be added to 5x²+6x-3 to get 3x+2




DATA HANDLING


  1. The heights of 5 boys in a group are given below


152cm,170cm,156cm,164cm,158cm.find the mean height




  2. Find the median of the following data(Tip:Arrange all the observations

     in ascending order)


   31,35,27,29,32,43,37,41,34,28,36,44,45,42,30

   14,3,15,8,10,13,21,22,5,27,11,12,19,18,19

   9,25,32,51,7,16,37,50,0,13,19

   27,21,12,17,25,11,19,20

  3. Find the median of first 15 odd numbers
4. Find the mode of the given data showing the marks of students in a

   class test

   12,7,9,10,19,12,18,15,9,8,12,16,15,19,12,13,12,8,12,8

5.Find the mode of

   a)5,5,7,8,8,9,7,9,10,10,11,9,13

   b)110,120,130,120,110,140,130,120,140



 6)The number of children who like different games is given

 below.Represent the data on a bar graph

   Sport        Cricket   Hockey     Swimming Badminton Tennis


   No: of       250       190        150       240         180

   children



   Q1)How would you choose a scale

   Q2)Which sport is liked by most children

   Q3)Find the ratio of students who like swimming to students who like

   cricket


 7)The following table shows the sales of cars during 4 months of a
 year. Draw a bar graph that represents the correct data.
     Car           January         February       March          April
     Car 1         150             140            140            130
      Q1)In which year is the sale of cars least?

      Q2)In which two years are the sale of cars equal?

      Q3)In which year is the sale of car maximum?

      Q4)What is the difference in sale in the month of March and April?

      8. Draw a double bar-graph choosing an appropriate scale to represent

      the following

            Subject     English     Hindi      Maths      Science   Social


            First       67          70         82         86        78

            term


            Second      68          75         98         78        83

            term


      Q1)In which subject has the child improved his performance most

      Q2)In which subject is the improvement least

      Q3) Has the performance gone down in any subject.


9)The number of girls and boys coming from different places of a city for a
summer cricket coaching camp is as shown in the table.

Place A B C D
Girls 25 20 30 15
Boys 35 45 30 50
      Represent this data by a Double bar graph.
Q1)In which two places are number of boys and girls equal?

Q2)In which place are the number of girls very less?

Q3)What is the ratio of the number of girls to boys in place A?

Q4)What do you infer from this graph?

Simple Equations

Check whether the value given in the bracket is a solution to the given

equation or not

   a) 2n+5=10(n=5)

   b) 7n+3=21(n=2)

   c) 6p-4=20(p=4)

      Solve the equations by trial and error method

      3z+5=11

      2y-3=3

      Write equations for the following statements

         a) The sum of a number t and 5 is 20

         b) Six times d to which 4 is added

         c) Three fourth of g is 16

         d) Ten times q is 40

         e) If you take away 10 from x you get 25

         f) If you add 4 to one-fifth of p ,you get 60

         g) the number x divided by 4 gives 3
         Write the following equations in statement form

         t+3=20

8m=24


 2z=20

 5

 3p+9=39

 z + 2=12

 4

 Set up an equation for the following

     1. Raj says he has 4pens more than 5 times the pens Jeevan has.Raj has
        54 pens.(Take p to be the number of pens Jeevan has)

     2. Swethas father is 40 years old.He is 4 years older than six times
        Swethas age.

        (Take Swetha's age to be y)

     3. The teacher tells the class that the highest mark obtained by a student
        in her class is thrice the lowest mark plus 8.The highest score is
        83.(take the lowest score to be z)



 Solve the equation

 y-6=12

 a+24=28

 5p+9=24

 4a+15=31

 p =32
2

4f=28



d=4

3 6

4r=8

5

-p =13

5



         ALL THE BEST!

				
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