Model Question Paper-1 Class-8 ML Aggarwal ICSE Maths

Model Question Paper-1 Class-8 ML Aggarwal ICSE Mathematics Solutions. APC Understanding Mathematics for ICSE Class-8 Model Question Paper-1 Solutions based on Chapter-1 to 4. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.

Model Question Paper-1 Class-8 ML Aggarwal ICSE Mathematics Solutions

( based on chapter-1 to 4)

Time Allowed-1 hour

max mark-25

Note

Questions 1-2 carry 1 mark each
Questions 3-5 carry 2 marks each
Questions 6-8 carry 3 marks each
Questions 9-10 carry 4 marks each.

Paper-1 Class-8 ML Aggarwal

Choose the correct answer from the given four options (1-2):

Question 1.
Sum of rational number $\frac { 5 }{ 7 }$ and its additive inverse is
(a) 1
(b) 0
(c) -1
(d) none of these

Answer

Sum of $\frac { 5 }{ 7 }$ and its additive inverse.

Question 2.
Product of two rational numbers is 1. If oneof them is $\frac { 4 }{ 5 }$ , then other is

Answer

Product of two rational numbers = 1
One number = $\frac { 4 }{ 5 }$ , then second number

Question 3.
Find the value of x for which $\left(\frac{4}{9}\right)^{x} \times\left(\frac{3}{2}\right)^{-1}$ = $\frac{8}{27}$ .

Answer

Comparing, we get
2x + 1 = 3
⇒ 2x = 3 – 1 = 2
⇒ x = $\frac{2}{2}$
∴ x = 1

Question 4.

Express the following numbers in standard form:
(i) 0.0000000000578
(ii) 345700000000000

Answer

(i) 0.0000000000578 = 5.78 × 10^-11
(ii) 345700000000000 = 3.457 × 10¹⁴

^{Question 5.

Insert ten rational numbers between and .}

Answer

^{Ten rational numbers between and

LCM of 5, 3 = 15

We take any 10 rational numbers among these.}

^{Question 6.

Find the cube root of 50653.}

Answer

^{Cube root of 50653}

^{Question 7.

Find the smallest number by which 3645 should be divided so that quotient is a perfect cube.}

Answer

^{3645

Factorising it we get

3645 = 3 × 3 × 3 × 3 × 3 × 3 × 5

Grouping the same kind of factors in 3’s,

we find that one factor 5 is left ungrouped.

So, dividing 3645 by 5, we get 729 which is a perfect cube

and its cube root is 3 × 3 = 9}

Question 8.
If p = $\frac{-3}{5}$ , q = $\frac{1}{2}$ , r= $\frac{-7}{9}$ ,then verify p × (q + r) = p × q + p × r.

Answer

Hence proved L.H.S. = R.H.S.

Question 9.
Find the square root of 7056 by prime factorisation method.

Answer

Square root of 7056 = $\sqrt{7056}$

Question 10.
Find the least number which must be added to 59000 to make it a perfect square.

Answer

59000
Taking the square root of 59000 by division method we find that

(242)² < 59000 < (243)²
By adding 1449 – 1400 = 49
We shall get a perfect square 59049 and its square root = 243