Number Systems-HOTS Questions

1.  Every whole number is a natural number write true or false.

2.  If find the value of x² + y² + xy.

3.  If find the value of x² - y².

4.  Determine rational numbers p and q if
       

5.  Simplify:

6.  Simplify:

7.  Show that:

8.  If: then find the value of qx² – 2px + q.

9.  Show that:

10.  If 2^a = 3^b = 6^c then show that

11.  If then find the value of