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This mock test of Olympiad Test : Algebra - 1 for Class 6 helps you for every Class 6 entrance exam.
This contains 10 Multiple Choice Questions for Class 6 Olympiad Test : Algebra - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

What must be subtracted from a^{3} – 4a^{2} + 5a – 6 to obtain a^{2} – 2a + 1?

Solution:

Here, a^{3}– 4a^{2} + 5a – 6 – (a^{2} – 2a + 1)

= a^{3}– 4a^{2} + 5a – 6 – a^{2} + 2a – 1

= a^{3}– 5a^{2} + 7a – 7

QUESTION: 2

By how much does 1 exceed 2x – 3y – 4 ?

Solution:

Required difference = 1– (2x – 3y – 4)

= 3y – 2x + 5

QUESTION: 3

How much less than l – 2m + 3n is 2l – 4m – n ?

Solution:

Required difference

= (l – 2m + 3n) – (2l – 4m – n)

= – l + 2m + 4n

QUESTION: 4

If x = – 2 y = – 1 and z = 3 then what is the value of x^{2} + y^{2} – z^{2}

Solution:

Required value

= x^{2} + y^{2} – z^{2}

= (–2)^{2} + (–1)^{2}– (3)^{2} = 4 + 1 – 9

= 5 – 9 = – 4

QUESTION: 5

What is the co-efficient of m in –7 l2 mn ?

Solution:

QUESTION: 6

If x = 4, y = –1 and z = –2 then what is the value of 2x^{2} – y^{2} + 3z^{2} ?

Solution:

2x^{2 }–y^{2} + 3z^{2}

= 2(4)^{2} – (–1)^{2} + 3(–2)^{2}

= 32 – 1 + 12 = 44 – 1= 43

QUESTION: 7

What must be added to 5x^{3} – 2x^{2} + 6x + 7 to make the sum x^{3 }+ 3x^{2} – x + 1 ?

Solution:

x^{3} + 3x^{2} – x + 1 – 5x^{3} + 2x^{2} – 6x – 7

= –4 x^{3} + 5x^{2} – 7x – 6

QUESTION: 8

By how much is 2x – 3y + 4z greater than 2x + 5y – 6z + 2?

Solution:

Required difference

= – (–2x – 5y + 6z – 2)

= – 8y + 10z – 2

QUESTION: 9

What is the simplified value of 2x – [3y –{2x– (y – x)}]?

Solution:

2x –[3y–{2x– (y–x)}]

= 2x –[3y–{2x– y + x)}]

= 2x –[3y–3x + y] = 2x – 4y + 3x = 5x–4y

QUESTION: 10

What is the value of m if

Solution:

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