Welcome to your 07 Math Free

1. 
In the standard form of a rational number, the common factor of numerator and denominator is always:
2. 
4x + 5 = – 7 has_______ solution
3. 
The root of the equation 6x=0 is
4. 
Every whole number is a rational number but every rational number need not be whole number.
5. 
Find the value of (-44+4) / (-37+37)
6. 
Which of the following shows the maximum rise in temperature?
7. 
Multiplicative inverse of -3/5 is
8. 
A girl is 26 years younger than her father. The sum of their ages is 50 years. Find the ages of the girl and her father:
9. 
A number has two digits whose sum is 9. If 27 is added to the number; its digits get interchanged. Find the number.
10. 
A piece of string is 36 cm long. What will be the length of each side. If the string is used to form a square?
11. 
Rectangle MNOP is made up of four congruent rectangles. If the area of one of the rectangles is 8 sq m and length is 4 m, then find the perimeter of MNOP.
12. 
A company is producing anti-aging cream and baby wipes. The company makes a profit of ₹ 45 per unit on anti aging cream and a loss of ₹ 10 per unit on Baby wipes. If the company sells 5000 units of anti-aging cream and 4000 units of baby wipes, find the profit or loss of the company due to the sale.
13. 
A shopkeeper buys 10 eggs @ ₹ 8 and sells at 8 eggs @₹ 10. Find his gain or loss percent.
14. 
Two rational numbers are said to be equivalent or equal, if they have the same ______ form
15. 
A room is 4.5 m long and 4 m wide. The floor of the room is to be covered with tiles of size 18 cm by 10 cm. Find the cost of covering the floor with tiles at the rate of ₹ 4.50 per tile.
16. 
In a park of dimensions 20 m x 15 m, there is a L shaped 1 m wide flower bed as shown in the figure. Find the total cost of fertiliser for the flower bed at the rate of ₹ 50 per sq m.
17. 
A man whose income is Rs. 40,000 spends Rs. 12,000 on rent. What percentage of his income is spent on rent?
18. 
Water and Milk are mixed in the ratio 2:7. Find the quantity of water in 54 liters of mixture.
19. 
What should be multiplied with -3/7 to obtain the nearest integer?
20. 
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the smallest integer.