Maths

Mid Terminal Examination-2073

Subject: Maths                                        Full Mark:100

Class: VII             Time: 3 Hrs.              Pass Mark:  40

"Candidates are required to give their answers according to the given instruction."

Group "A" [10×1=10]

1.     a)    Simplify : |-3| - |-1|

        b)    Simplify : 5 times the sum of 6 and 2.

2.     a)    Find the ratio of 12 cm and 8 cm.

        b)    Find the value of x in the following proportion

                 4:3 = 12: x

3.     a)    Factorise: ax² + a²x - ax

        b)    Simplify : 13 × 50 – 40 × 13

4.      a)    Simplify:  +

        b)    Find the square of ( x+2y )

5.     a)    If x^o and 2x^o are two acute angles of a right angled triangle, find them.

        b)    If x^o, 65^o, 115^o and 130^o are the angles of a quadrilateral, find x^o.

                            Group – "B" [ 17 × 2= 34 ]

6.     a)    Make the mathematical expression , the simplify.

                6 times the difference of 12 and 4 is divided by the product of 8 and 3.

        b)    Find any two rational numbers from the following pairs of rational numbers.

                i. 3 and 4

7.     a)    A ratio is equal to 5:7. If the antecedent is 25, find the consequent.

        b)    If the terms 6, 8 and 24 are in proportion, find third proportional.

8.     a)    Factorize: m² – 9m + 14

        b)    Find the H.C.F of: x²y⁴ and x⁴y²

9.     a)    Find the L.C.M of: 4x³y³ and 6xy

        b)    Simplify :  +

10.   a)    Add: 3ab, 9bc, (-ab) and (-4bc)

        b)    Find the squares of 99.

11.   a)    Simplify: (x+1) (x-1) (x²+1)

        b)    Divide: (8x³- 4x²+2x) ÷ 2x

12.   If p = 7a³b³, q= 6a⁴b⁴ and r= 14a⁶b⁶, show that

                 

13.   a)       A pair of supplementary angles are in the ratio of 4:5, find them.                      

        b)    If x^o, 3x^o, (x^o+15^o) and (2x^o+30^o) are the angles of a quadrilateral, find them.

14.   Find the size of unknown angles.

            

                   Group "C" [14 × 4 = 56 ]

15.     Simplify:     60 ÷ 3 [ 150 ÷ 2 { 6 + 3 ( 17 – 14) } ]

16.     There are 360 students in a school and 120 of them are girls.

i. Find the ratio of the girls and the total number of students.

ii. Find the ratio of the girls and boys.

17.     The ratio of the present age of father and son is 11:3 after 4 years, the ratio of their age will be 3:1. Find their present age.

18.     10 workers can finish a piece of work in 18 days. How many workers are requires to finish the work in 12 days?

19.     A motorcycle covers 210 km distance with 5 liter of petrol.

          i. How many kilometers does it covers with 8 liter of petrol?

          ii. How much petrol is needed to cover 588 km?

20.     A garrison of 60 soldiers had provisions for 45 days. If 15 more soldiers joined the garrison, how long would the provisions last?

21.     Simplify:

          a.    3⁴ × 3² × 3⁶               b.  (x^a)^b-c × (x^b)^c-a × (x^c)^a-b

                   3³ × 9³

22.     Divide:        ( x⁶- y⁶ ) ÷ ( x² – y²)

23.     Find the H.C.F of 6x² – 9xy and 4x² – 9y².

24.     Find the L.CM of x² – 5x and x⁴ – 25x².

25.     Simplify:      - 

26.     Find the size of unknown angles.

                

27.     In the figure alongside, prove that     

                  

   

*Best of Luck*