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HIGHER ORDER THINKING SKILLS (HOTS) QUESTIONS
REAL NUMBERS
1.
Every whole number is a natural number write true or false.
2.
If x 
3.
If x 
4.
Determine rational numbers p and q if
3 2
3 2
2 5
2 5
7 5
7 5

3 2
and y 
and y 
7 5
7 5
3 2
2 5
2 5
, find the value of x2 + y2 + xy..
, find the value of x2 – y2.
 p7 5 q.
6
6
4 3
.
5.
Simplify :
6.
Simplify :
7.
Show that :
8.
If x 
9.
Show that
10.
If 2a = 3b = 6c then show that c =
11.
14 

If x = 2 + 3 2, then find the value of  x 
.

x 
2 3 6
3 2
6 3
1
3 8

2 3

6 2
8 7
pq  pq
pq  pq
x 1
6 2
4 3

1

x 1  y 1
3 2

6 2
.
1

7 6

1
6 5

1
5 2
5
, then find the value of qx2 – 2px + q.

x 1  y 1
x 1

x2  y2
xy
ab
.
ab
Answers
1. False
2. 99
3. 144 5
4. p = 0, q = 
5. 0
6. 0
8. 0
11. 6 2
1
11
Page 1
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