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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. p7 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 pq pq pq pq 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 . ab 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