Online class question paper

Vidhyodaya English Secondary Paper

Grade:IX Online Test FM:40

Subject: Mathematics PM:12

Time:1hr

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Section A "Easy questions" 6×1=6

1. If U={1,2,3,........19,20} and A={x : x is a prime number from 6 to 20}, Find set A' (A complement).

2. What is the intersection of disjoint sets?

3. If A={a,b,c,d,e} and B={a,e,i,o,u}, Find set AUB.

4. If n(AUB)=10, n(B)=5, Find find n(B'). {B complement}

5. If 5% tax is levied on a good of Rs. 100. Find tax amount.

6. Solve: x²×x³

Section B 'Medium difficulty' 6×2=12

1. In a group of 200 dancers 135 of them like to dance in folk somgs and 150 like to dance in hippo songs. By drawing a Venn-diagram, Find

(i) how many people like both the songs?

2. After levying 25% Tax, the price of a Radio becomes 125. Then find its price before levying tax.

3.In a survey of 900 students In a school, it was found that 600 students liked tea, 500 liked coffee and 125 did not like both drink. Then using formula,

(i) Find the number of students who like both drinks.

4. Solve the given questions using law of indices.

(i) (9)³ × (27) ² × (81) ^-4

(ii)(25)² ÷ (125) ⁴ 

5. If the 5% Tax on a  price of a good is 255, Find the price after levying tax.

6. Do the triangles with same perimeter have same area. Explain your answer with logic.

Section'C' 'Difficult' 4×3=12

1. In a group of 150 people, 65 like tea only and 60 like milk only. If each people like at least one of the two drinks,

(i) How many people like both drinks?

2.In a survey of 300 students, it was found that 45% of them like football, 60% like cricket and 15% of them like non of the games. If there are 60 students who like both games, Find the number of students who participated in the survey.

3. A shopkeeper sells a article by giving 10% discount and  then sells at Rs.375. Now find the MP of the article.

4. (i)Find the value using the law of indices.  ((16)^0.5)^3/2 

Section 'D' #challenge 2×5=10

1. If 

n(only A)=1/5 of U

n(A')=16

n(B)=60% of U

n(AUB')=8

n(A intersection B)=?

2. If a-1= 2^2/3 + 2 ^1/3, Find the value of a³ - 3a² - 3a