Question

Q1. (i) Find three rational number between and (1x 3 ) (ii)Evaluate using suitable properties. (-2)/( 3 )×5/7+1/6+( 4)/7×((-2)/3) (iii) Repesent (-6)/5 on the number line.

Q2. The volume of a tank of water is 3375m3. What is the shape of tank cubical or cuboidal?

Q3. You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root?

Q4. (i)The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages. (ii) Verify x=8 is the solution of equation: 5(x -7)+4=2x-7​

Answer 1

Step-by-step explanation:

1.

• .
• -2/ 3 × 5/7 + 1/6 + 4/7 ×-2/3 =-10/21 + 1/6 + -8/21 =-18/21 +1/6
• =-6/7 + 1/6 = -36 + 7 /42 = -29/42

2.

• volume of cube = a^3
• volume of cuboidal = lbh
• we have 15^3 = 3375 , hence it is volume of cube

3. 11^3 = 1331

4. 5(x-7)+4 = 2x-7

5(8-7)+4=2*8-7

40-35+4=16-7

5+4 = 9

x=8 is true