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CBSE Worksheet-59

CLASS –VII Mathematics (Perimeter and Area)

Choose correct option in questions 1 to 4.

1. If the area of the rectangle is 105 cm2. Its length is (4x – 5) cm and breadth is (2x – 5)

cm, find the perimeter?

a. 44 cm b. 55 cm

c. 33 cm d. 66 cm

2. What should be added to x2 + xy to obtain 5x2 - xy?

a. 5x2 – 2xy b. 4x2 – 2xy

c. 4x2 – 3xy d. 5x2 – 3xy

3. Get the algebraic expressions using variables, constants and arithmetic operations.

Product of numbers x and y subtracted from their 10

a. xy + 10 b. 10xy

c. xy – 10 d. 10/xy

4. Simplify: (5x – 2y) (5x + 2y).

a. 49x2 – 4y2 b. 25x2 – 9y2

c. 14x2 – 9y2 d. 25x2 – 4y2

Fill in the blanks:

5. Factors containing variables are said to be __________.

6. The ____________ is the numerical factor in the term.

7. Any expression with one or more terms is called a __________.

8. From the sum of 4 + 3x and 5 – 4x + 2x2, subtract the sum of 3x2 – 5x and –x2 + 2x + 5.

9. a. If z = 10, find the value of z3 – 3(z – 10).

b. If p = – 10, find the value of p2 – 2p – 100.

10. Find the value of the following expressions for a = 3, b = 2.

a. a2 + 2ab + b2

b. a3 – b3

11. Simplify the expressions and find the value if x is equal to 2.

a. x + 7 + 4 (x – 5)

b. 3 (x + 2) + 5x – 7

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Answer key:

1. a

2. b

3. c

4. a

5. algebraic factors

6. coefficient

7. polynomial

8. 2x + 4

9. a. 1000

b. 20

10. a. 25

b. 19

11. a. 5x – 13; –3

b. 8x – 1; 15