Name: Roll No.: Date: 1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x²-3x+2 2. Find the H.C.F of: 8x³+4x²+2x, 16x4 + 4x² + 1 and 8x³ + 1 X-2 16 3. Simplify: X+2 x²+2x+4 + x²-2x+4 x4+4x²+16 4. In a survey of a class, two third students like only milk and 14 don't like milk at all. Also 1/4 students like tea and 5 like non-of them. With the help of Venn-diagram, find the total number of students and the number of students who like both drinks. 5. In a survey of 100 people, 45 read Kantipur, 40 read Rajdhani, 30 read Himalayan Times, 15 read Kantipur as well as Rajdhani, 18 read Rajdhani as well as Himalayan Times, 17 read Kantipur as well as Himalayan Times and 8 read all three newspapers. Draw a Venn-diagram to illustrate above information. How many people do not read any of the newspapers? 6. You have imported a Japanese bike costing Rs 180000 yen in Nepal by paying a transportation charge 10 % and custom duty charge 150 % separately. If the bike is sold at a profit of 30%, what will be the selling price in Nepali? Given that 10 Yen= Rs 9. 7. After allowing 25% discount on the marked price and levying 15% VAT, an article was sold. If the discount amount is Rs. 1000, find the selling price of the article including VAT. 8. Prove that parallelogram ABCD and rectangle ABXY on the same base AB and in between the same parallel lines AB and MN are equal in area. 9. Prove that the area of triangle ABE is half of the area of parallelogram ABCD standing on the same base AB and between the same parallel lines AB and DE. 10. Prove that the triangles PQR and SQR standing on the same base QR and between the same parallels PS and QR are equal in area. Construct a quadrilateral ABCD having the measurements AB-BC-5.5cm, CD-AD-4.5cm ABCD

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.2: Dividng Monomials
Problem 62WE
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Question no 4 plzz
Grade: 10
Subject: Mathematics
Roll No.:
Sec:
Name:
Date:
1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x2-3x+2
2. Find the H.C.F of: 8x3 + 4x² + 2x, 16x* + 4x² + 1 and 8x3 + 1
x+2
x-2
16
3. Simplify:
x2+2x+4
x2-2x+4
x4+4x2+16
4. In a survey of a class, two third students like only milk and 14 don't like milk at all. Also 1/4
students like tea and 5 like non-of them. With the help of Venn-diagram, find the total
number of students and the number of students who like both drinks.
5. In a survey of 100 people, 45 read Kantipur, 40 read Rajdhani, 30 read Himalayan Times, 15
read Kantipur as well as Rajdhani, 18 read Rajdhani as well as Himalayan Times, 17 read
Kantipur as well as Himalayan Times and 8 read all three newspapers. Draw a Venn-diagram
to illustrate above information. How many people do not read any of the newspapers?
6. You have imported a Japanese bike costing Rs 180000 yen in Nepal by paying a
transportation charge 10 % and custom duty charge 150 % separately. If the bike is sold at a
profit of 30%, what will be the selling price in Nepali? Given that 10 Yen= Rs 9.
7. After allowing 25% discount on the marked price and levying 15% VAT, an article was sold.
If the discount amount is Rs. 1000, find the selling price of the article including VAT.
8. Prove that parallelogram ABCD and rectangle ABXY on the same base AB and in between
the same parallel lines AB and MN are equal in area.
9. Prove that the area of triangle ABE is half of the area of parallelogram ABCD standing on
the same base AB and between the same parallel lines AB and DE.
10. Prove that the triangles PQR and SQR standing on the same base QR and between the same
parallels PS and QR are equal in area,
11. Construct a quadrilateral ABCD having the measurements AB=BC%35.5cm, CD=AD%=4.5cm
piyen quadrilateral ABCD.
Transcribed Image Text:Grade: 10 Subject: Mathematics Roll No.: Sec: Name: Date: 1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x2-3x+2 2. Find the H.C.F of: 8x3 + 4x² + 2x, 16x* + 4x² + 1 and 8x3 + 1 x+2 x-2 16 3. Simplify: x2+2x+4 x2-2x+4 x4+4x2+16 4. In a survey of a class, two third students like only milk and 14 don't like milk at all. Also 1/4 students like tea and 5 like non-of them. With the help of Venn-diagram, find the total number of students and the number of students who like both drinks. 5. In a survey of 100 people, 45 read Kantipur, 40 read Rajdhani, 30 read Himalayan Times, 15 read Kantipur as well as Rajdhani, 18 read Rajdhani as well as Himalayan Times, 17 read Kantipur as well as Himalayan Times and 8 read all three newspapers. Draw a Venn-diagram to illustrate above information. How many people do not read any of the newspapers? 6. You have imported a Japanese bike costing Rs 180000 yen in Nepal by paying a transportation charge 10 % and custom duty charge 150 % separately. If the bike is sold at a profit of 30%, what will be the selling price in Nepali? Given that 10 Yen= Rs 9. 7. After allowing 25% discount on the marked price and levying 15% VAT, an article was sold. If the discount amount is Rs. 1000, find the selling price of the article including VAT. 8. Prove that parallelogram ABCD and rectangle ABXY on the same base AB and in between the same parallel lines AB and MN are equal in area. 9. Prove that the area of triangle ABE is half of the area of parallelogram ABCD standing on the same base AB and between the same parallel lines AB and DE. 10. Prove that the triangles PQR and SQR standing on the same base QR and between the same parallels PS and QR are equal in area, 11. Construct a quadrilateral ABCD having the measurements AB=BC%35.5cm, CD=AD%=4.5cm piyen quadrilateral ABCD.
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