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

Your comments:

Question 1 of 20

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

200

150

216

310

Your comments:

Question 2 of 20

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

(4y+1)

(4-y)

(4+y)

8y

Your comments:

Question 3 of 20

4. (101)² is equal to

10201

10211

10001

10011

Your comments:

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

Your comments:

Question 5 of 20

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

A

B

C

D

Your comments:

Question 6 of 20

7. Evaluate 98 x 102.

9899

9988

9996

9898

Your comments:

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

Your comments:

Question 8 of 20

9. Evaluate: 105 x 95

9075

9905

9925

9975

Your comments:

Question 9 of 20

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

643

886

872

516

Your comments:

Question 10 of 20

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

0.1

0.4

0.6

0.5

Your comments:

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

Your comments:

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)

Your comments:

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)

Your comments:

Question 14 of 20

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

872

886

516

643

Your comments:

Question 15 of 20

16. The value of 101 x 99 is

8998

1111

9889

9999

Your comments:

Question 16 of 20

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

67

98

56

84

Your comments:

Question 17 of 20

18. Find the value of ( 109 )²

18181

11881

11181

18811

Your comments:

Question 18 of 20

19. (99)² is equivalent to

8801

9801

9001

9881

Your comments:

Question 19 of 20

20. The expansion of (2a – 3b + 5c)².

A

B

C

D

Your comments:

Question 20 of 20

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