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

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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.
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 1

Question 2.
Product of two rational numbers is 1. If oneof them is \frac { 4 }{ 5 }, then other is
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 2

Answer

Product of two rational numbers = 1
One number = \frac { 4 }{ 5 }, then second number
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 3

 

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

ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 4
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 \frac{-4}{5} and \frac{2}{3}.

Answer


Ten rational numbers between \frac{-4}{5} and \frac{2}{3}
LCM of 5, 3 = 15
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 5
We take any 10 rational numbers among these.

Question 6.
Find the cube root of 50653.

Answer


Cube root of 50653
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 6

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
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 7
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

ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 8
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 9
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}
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 10

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
ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 1 11
(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  :–

 

Return to –   ML Aggarwal Maths Solutions for ICSE Class -8

 


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