Algebraic Identities: Quadratic

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. What should be subtracted to to make it a perfect square?

 1

 3

 2

 4

Question 1 of 20

2. If a + b = 12 and a² + b² = 60, the value of a³ + b³ is:

 200

 150

 216

 310

Question 2 of 20

3. One of the factors of (16y² – 1) + (1 -4y)² is

 (4y+1)

 (4-y)

 (4+y)

 8y

Question 3 of 20

4. (101)² is equal to

 10201

 10211

 10001

 10011

Question 4 of 20

5. Find the value of ( 9 a + 10 b )²

 81 a + 180 a b + 100 b

 81 a² + 180 a b + 100 b²

 81 a² + 90 a b + 100 b²

 9 a² + 180 a b + 10 b²

Question 5 of 20

6. a² + b² + c² – ab – bc – ca equals:

 A

 B

 C

 D

Question 6 of 20

7. Evaluate 98 x 102.

 9899

 9988

 9996

 9898

Question 7 of 20

8. a² + b² is equal to

  (a + b )² – 2ab

 (a – b)² – 2xy

 (a + b)² – 2xy

 (a – b)² + 4 ab

Question 8 of 20

9. Evaluate: 105 x 95

 9075

 9905

 9925

 9975

Question 9 of 20

10. If 3a – 7b = 26 and ab = 5, then the value of 9a² + 49b².

  643

 886

 872

 516

Question 10 of 20

11. What should be added to to make it a perfect square?

 0.1

 0.4

 0.6

 0.5

Question 11 of 20

12. The missing figure in the expression
(5p +…)² = ….+ 40 pq + 16 q² are:

  4q and 25 p²

 4 q and 25 p

 16 p and 5 p²

 4 q and 5 p²

Question 12 of 20

13. Factorise: x⁴-1

 (x2+1) (x – 1) (x+1)

 (x²+1)(x – 1)(x-1)

 (x²-1) (x -1)(x+1)

  (x²+1) (x +1)(x+1)

Question 13 of 20

14. Factorise: x²– 81

  (x+9)(x+9)

 (x-9)(x-9) (x-9)(x-9)

  (x-9)(x+9)

 (x-81)(x+1)

Question 14 of 20

15. If 3a – 7b = 26 and ab = 5, then the value of 9a² + 49b².

  872

 886

 516

 643

Question 15 of 20

16. The value of 101 x 99 is

 8998

 1111

 9889

  9999

Question 16 of 20

17. If 2x + 3y = 12 and xy = 5, find the value of 4x² + 9y².

 67

 98

 56

 84

Question 17 of 20

18. Find the value of ( 109 )²

 18181

 11881

 11181

 18811

Question 18 of 20

19. (99)² is equivalent to

 8801

 9801

 9001

 9881

Question 19 of 20

20. The expansion of (2a – 3b + 5c)².

 A

 B

 C

 D

Question 20 of 20

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