Page 99 - Maths Skills - 8

Assessment - 2 97

Case Study Based Questions

Sohan buys a rectangular plot whose length is (3x + 2x – 3) meter
2
and breadth (x – 1) meter. He plans to tile the plot using square
tiles each of side 12 x meter. (x – 1)
17. Find the area of plot.
(3x + 2x –3)
2
18. If x = 7 then find the value of the plot.
Assertion-Reason Based Questions

Directions for Questions 19 to 20: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
(a) Both A and R are true and R is the correct explanation of A.

(b) Both A and R are true but R is not the correct explanation of A.

(c) A is true but R is false.
(d) A is false but R is true.

19. Assertion (A) : x + 6x + 9 = (x + 3) (x + 3)
2
Reason (R) : a + 2ab + b = (a + b) (a + b)
2
2
20. Assertion (A) : 7 is the degree of the polynomial obtained on multiplying (x + 3) and
3
(x + 8x + 2x + 2).
2
4
Reason (R) : The highest power of the variable is called the degree of the polynomial.

SUBJECTIVE BASED QUESTIONS

3x
21. Solve for 1
5x 5

22. Factorise: p + 5 p + 6.
2
23. Find the cube root of 9261.

24. Using division method, Show that (3x + 1) is a factor 12x – 2x + x + 1.
3
2
25. Find the quotient and remainder, when –6x + 5x + 11x + 1 is divided by 2x + 1.
2
2
4
2
)( x 3
26. Solve the equation: (x 14 ) 4 x 5 2
4 x 1
27. What is the smallest number by which 3136 must be multiplied so that the product is a perfect
cube?

28. Factorise: p + 2pq + q – 4.
2
2
29. x 1 6239 , find x + 1 .
4
x 4 x