Math Editor

V.K TUITION

MATHEMATICS

Class : 7th STD Max.Marks : 30

Time : 1½hrs. Questions No: 06

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Instructions:

• • • • Answers th questions compulsory.(Each carries 8 Marks)
      • Choose 2 questions from each parts.(1 questions should be parts A and 1 questions should be part B)(Each carries 7 mark)

PART-A

1. (a) Express 225​in mixed fraction ?

(b) Solve: 3x+1​+5x+4​=7x−4​?

(c) Prove that ΔABC ≌ ΔCBD and

hence find the value of x and y ?

2. (a) Simplify:

15 1​+[23 1​−(5+2−3​)−32 1​]

(b) Solve: 2x+20% of

(c) Find the set of solution of 2x−3≥5,x∈I ?

3. (a) Insert three fraction between 52​ and 94​?

(b) Solve: 4x−5x+2x=28+3x ?

(c) If the replacement set R={−3,−2,−1,0,1,2,4} then the solution set of

i. 3+x≤5 ,x∈I

ii. x>1,x∈W

PART-B

4. (a)Prove that

i. ΔABC≌ ΔADC ii. ∠B = ∠C

iii. AC bisects angle DCA

(b) Find solution set and represent number line

43x−2​≤2 ,x∈W ?

(c)A man is four times as old his son. After 20 years, he will be twice as

old as his son at that time. Find their present ages ?

5. (a) Put the given fraction in ascending order by making denominator equal

31​,52​,43​ and 61​ ?

(b) The difference between a number and one four of itself is 24. Find the numbers ?

6. (a) Solve: y+2y​=47​−4y​ ?

(b) Which is greater 53​ or107​and by how much ?

(c) Prove that

i. ΔABD ≌ ΔACD

ii. ∠B = ∠C

iii. ∠ADB = ∠ADC

iv. ∠ADB = 90°

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