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

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

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

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

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

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

Question 5.
Insert ten rational numbers between $\frac{-4}{5}$ and $\frac{2}{3}$.

Ten rational numbers between $\frac{-4}{5}$ and $\frac{2}{3}$
LCM of 5, 3 = 15

We take any 10 rational numbers among these.

Question 6.
Find the cube root of 50653.

Cube root of 50653

Question 7.
Find the smallest number by which 3645 should be divided so that quotient is a perfect cube.

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.

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

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

Square root of 7056 = $\sqrt{7056}$

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

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

– : End of Model Question Paper-1 Class-8 ML Aggarwal Solutions  :–