#### Algebra Model Question Paper

8th Standard EM

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:30:00 Hrs
Total Marks : 50
3 x 1 = 3
1. The product of 7p3 and (2p2)2 is

(a)

14p12

(b)

28B7

(c)

9p7

(d)

11p12

2. If the area of a rectangle is 48m2n3 and whose length is 82mn then, its breadth is______

(a)

6mm

(b)

8m2n

(c)

7m2n2

(d)

6m2n2

3. If the area of a rectangular land is(a2-b2)− sq.units whose breadth is()ab− then, its length is__________

(a)

a-b

(b)

a+b

(c)

a2-b

(d)

(a+b)2

4. 5 x 1 = 5
5. Expand the following
(p + 2)2=_________

()

(p + 2)2 = p2 + 2(P) (2) + 22 =p2 + 4p + 4

6. Expand the following
(62-x2)=_______

()

(62-x2) = (6+x)(6-x)

7. Expand the following
(a+b)2=(a+b)x_______

()

(a+b)2 = (a+b)X(a+b)

8. Expand the following
m2 - 6m + 9=_______

()

m2 - 6m + 9 = (m-3)2

9. Expand the following
(m -10)(m + 5)=______

()

(m - 10)(m + 5) =  m2+ (-10+ 5)m + (-10)(5) = m2 - 5m -50

10. 10 x 2 = 20
11. Multiply a monomial by a monomial
6x,4

12. Multiply a monomial by a monomial
a3,-4a2b

13. If l = 4pq2 , b= −3p2q ,h= 2p3q3 then, find the value of l×b×h .

14. Expand −2p(5p2−3p +7)

15. Find the product of (2x+3)(2x−4)

16. Find the missing term _________×(−15m2n3p)= 45m3n3p2

17. Divide ${ x }^{ 3 }y^{ 2 }\div { x }^{ 2 }y$

18. Identify the errors and correct them 6xy+3xy=9x2y2

19. Expand (104)3

20. Factorise the following by taking out the common factor 3y(x−2)2−2(2− x)

21. 4 x 3 = 12
22. Find the product of 2x2y2,3y2z and –z2x3

23. Simplify(3x+5y)(3x-5y)

24. Expand: (x+3)(x+5)(x+2)

25. Divide -21abc2 by 7abc

26. 2 x 5 = 10
27. Factorise x2+yz+xy+xz

28. Factorise: 81x3-3y3