Algebraic Identities - ICSE STD 8 MATHS Questions

123

Questions

4

Question groups

5

Question types

01

[1 Mark Question Answer]

8 Q→02

[2 Mark Question Answer]

16 Q→03

[3 marks sum]

80 Q→04

MCQ

19 Q→

Sample Questions

Algebraic Identities questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[1 Mark Question Answer]1 Mark

Using special expansion, find the value of : $(9.2)^2$

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Q 2[1 Mark Question Answer]1 Mark

Using special expansion, find the value of : $(988)^2$

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Q 3[1 Mark Question Answer]1 Mark

Using special expansion, find the value of : $(795)^2$

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Q 4[1 Mark Question Answer]1 Mark

Using special expansion, find the value of : $(67)^2$

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Q 5[1 Mark Question Answer]1 Mark

Using special expansion, find the value of : $(10.9)^2$

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Q 6[2 Mark Question Answer]2 Marks

If $\left(2 p+\frac{1}{2 p}\right)=5$, find the value of $\left(4 p^2+\frac{1}{4 p^2}\right)$.

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Q 7[2 Mark Question Answer]2 Marks

If $\left(x^2+\frac{1}{x^2}\right)=102$, find the value of $\left(x-\frac{1}{x}\right)$.

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Q 8[2 Mark Question Answer]2 Marks

If $\left(a^2+\frac{1}{a^2}\right)=23$, find the value of $\left(a+\frac{1}{a}\right)$.

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Q 9[2 Mark Question Answer]2 Marks

If $\left(z-\frac{1}{z}\right)=6$, find the value of : $\left(z^4+\frac{1}{z^4}\right)$

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Q 10[2 Mark Question Answer]2 Marks

If $\left(z-\frac{1}{z}\right)=6$, find the value of : $\left(z^2+\frac{1}{z^2}\right)$

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Q 11[3 marks sum]3 Marks

Expand : $\left(3 x-\frac{1}{3 x}\right)^2$

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Q 12[3 marks sum]3 Marks

Expand : $\left(\frac{2}{a}-\frac{3}{b}\right)^2$

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Q 13[3 marks sum]3 Marks

Expand : $\left(2 a-\frac{5}{2}\right)^2$

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Q 14[3 marks sum]3 Marks

Expand : $\left(\frac{x}{2}-\frac{y}{2}\right)^2$

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Q 15[3 marks sum]3 Marks

Expand : $(8 y-5 z)^2$

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Q 16MCQ1 Mark

If $\left(x-\frac{1}{x}\right)=3$, then $\left(x^2+\frac{1}{x^2}\right)$ is equal to

A
7
B
9
✓
11
D
none of these

Answer: C.

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Q 17MCQ1 Mark

What must be added to $\left(4 x^2+20 x+16\right)$ so that it becomes a perfect square?

✓
9
B
12
C
15
D
20

Answer: A.

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Q 18MCQ1 Mark

If $(a-b)=7$ and $a b=9$, then $\left(a^2+b^2\right)=$ ?

✓
67
B
31
C
40
D
58

Answer: A.

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Q 19MCQ1 Mark

$(370)^2-(369)^2=$ ?

A
1
B
19
✓
739
D
none of these

Answer: C.

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Q 20MCQ1 Mark

$107 \times 93=$ ?

A
9921
✓
9951
C
8881
D
9631

Answer: B.

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Algebraic Identities question types

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Algebraic Identities MATHS - Algebraic Identities

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