Question

Q 1) In a class of 54 students, 36 are girls and the remaining are boys. Find the ratio of
(i) girls to boys
(ii) boys to whole class

Q 2) Find the ratio of:
(i) 75 cm to 6 m
(ii) 6 months to a year

Q 3) Find ‘p’ if 6, 21, p, 7 are in proportion. Q 4) Find the fourth term of the proportion whose first three terms are 9, 8, 18.

Q 5) If the cost of a table is Rs p and the cost of a chair is Rs q, what is the total cost of 2 tables and 6 chairs?

Q 6) Write all the terms of the algebraic expression: 6xy – x2 – x + y.

Q 7) Write the algebraic expression for the following statements:
a) The sum of 4 and twice a number x
b) 3 subtracted from a number y
c) 5 times a number k.

Q 8) Find the perimeter of a rectangle whose length is 75 m and breadth is 25 m

Q 9) Determine the cost of fencing a rectangular plot 300m long and 200m broad at the rate of Rs4 per meter.

Q 10) The perimeter of a rectangular park is 84 m. Its length is 24m. Find the area of the park.

Q 11) The perimeter of square field is 104m. Find the length of each side. Also find the area of the field.

Q 12) A, B and C are in the ratio 6 : 5 : 11. If the value of A is 30, what is the sum of the values of B and C?​

Answer 1

Answer of question no. 1

(1) 2:1

(2) 1:3

Step-by-step explanation:

Total number of students = 54

Number of girls = 36

Number of boys = Total number of students - Number of girls

= 54 - 36

=18

(1) Ratio of girls to boys = 36/18 = 2/1

= 2:1

(2) boys to whole class = 18/54 = 1/3

= 1:3

Answer 2

Answer:

1. (a)2:1

(b)1:3

2.(a)1:8

(b)1:2

3. 18

4. 16

5. 2p+6q

6. 6xy,-x²,-x,y

7.(a) 4+2x

(b)y-3

(c)5k

8. 200m

9. 4000 /-

10. 432m²

11. 26,676

12. 80