Online class Question Paper

 Vidhyodaya English Secondary School

Grade:X 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)=14, n(B)=5, Find n(only A).

5. If 5% tax is levied on a good of Rs. 185. Find tax amount.

6. What is the area of a isosceles triangle with base 'b' and height 'h'.

Section B 'Medium difficulty' 6×2=12

1. In a group of 250 music lovers 135 of them like folk songs and 150 like modern songs. By drawing a Venn-diagram, Find

(i) how many people like both the songs?

(ii) how many people like only one song?

2. After levying 25% Tax, the price of a Radio becomes 7500. 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.

(ii) Find the number of students who did not like tea.

4. Find the area of a scalene triangle with side 6, 8 and 10 cm.

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 proof.

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) draw a Venn diagram to illustrate the above information.

(ii) How many people like both drinks?

(iii) How many people like tea?

(iv) How many people like milk?

2.In a survey of some 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 levying 10% VAT, then sells at Rs.375. Now find the MP of the article.

4.If a equilateral triangle has area of 16sqrt3. Then find its one of the side.

Section 'D' #challenge 2×5=10

1. In a survey, one fifth youths like cell phone only and 16 did not like cell phone at all 60% youths like camera but 8 like none of them.

Then how many youths like both the things.

2. If the height of an equilateral triangle is 5cm more than the length of its one of the side. Then find the length of each side of the equilateral triangle.