# Model Question Paper-3 Class-6 ML Aggarwal ICSE Maths Solutions

Model Question **Paper-3 Class-6 ML Aggarwal** ICSE Maths Solutions . APC Understanding Mathematics for ICSE Class-6 Model Question Paper-3 Solutions based on Chapter-1 to 8. Solutions of Section-A , B, C and D of Model Question **Paper-3** for **Class-6 ML Aggarwal**. Visit official Website **CISCE** for detail information about ICSE Board **Class-6** Mathematics.

## Model Question Paper-3 Class-6 ML Aggarwal ICSE Maths Solutions

**-: Select Topic:-**

** Model Question Paper 3**

( based on chapter-1 to 8)

Time Allowed-2 hour 30 minutes

max mark-90

**Note :**

(i) All Questions are compulsory

(ii) Questions 1-2 carry 1 mark each, Questions 3-5 carry 2 marks each, Questions 6-8 carry 3 marks each and Questions 9-10 carry 4 marks each.

**Section-A**

**Questions 1 to 8 are of 1 mark each.**

**Choose the correct answer from the given four options (1 to 8):**

Question 1.

The difference between the place value and face value of 5 in the numeral 70542 is:

(a) 0

(b) 42

(c) 495

(d) 537

#### Solution:

Place value of 5

70540

500

Face value of 5

70542

5

Difference = 500 – 5 = 495 (c)

Question 2.

he sum of the successor of 99 and the predecessor of 101 is

(a) 198

(b) 200

(c) 201

(d) 199

#### Solution:

Successor of 99 = 100

Predecessor of 101 = 100

∴ Sum = 100 + 100 = 200 (b)

Question 3

If x and y are two co-prime numbers, then their LCM is

#### Solution:

Question 4.

Which of the following statement is true?

(a) |15 – 6| = |15| + |—6|

(b) Additive inverse of-3 is 3

(c) -1 lies on the right of 0 on the number line

(d) -4 is greater than -3

#### Solution:

Additive inverse of -3 is 3 (b)

Question 5.

The fraction equivalent to is

#### Solution:

when divide by 90 = (a)

Question 6.

Which of the following numbers is divisible by 6?

(a) 5372

(b) 6495

(c) 7632

(d) 7568

#### Solution:

The given number = 7632

It’s unit digit = 2

So, it is divisible by 2

Sum of its digits = 7 + 6 + 3 + 2 = 18

Which is divisible by 3

∴ 7632 is divisible by both 2 and 3.

Hence it is divisible by 6 (c)

Question 7.

5 kg 5g is equal to

(a) 5.5 kg

(b) 5.05 kg

(c) 5.005 kg

(d) 5.0005 kg

#### Solution:

5 kg + kg = 5 kg + 0.005 kg = 5.005 kg

Question 8.

The ratio of number of girls to the number of boys in a class is 7 : 5. If there are 15 boys in the class, then the number of girls in the class is

(a) 14

(b) 21

(c) 28

(d) 36

#### Solution:

Let number of girls = x

As per question,

7 : 5 = x : 15

x = × 15 = 21 girls

**Section – B**

**Questions 9 to 14 are of 2 marks each.**

Question 9.

Write the greatest and the smallest 4-digit numbers using four different digits with the condition that the digit 4 occurs at tens place.

#### Solution:

9847; 1042

Question 10.

Find the prime factorisation of 980.

#### Solution:

980

∴ 980 = 2 × 2 × 5 × 7 × 7

Question 11.

Find the value of-15 – (-2) – 71 – (-8) + 6.

#### Solution:

-15 + 2 – 71 + 8 + 6

8 + 6 + 2 – 15 – 71 = -70

Question 12.

What fraction of the given figure is the shaded part?

#### Solution:

Total parts in the given figure = 16

Shaded parts = 53

∴ Fraction =

Question 13.

Write the mixed fraction as a decimal number.

#### Solution:

Decimal number of = 7.075

Question 14.

The length of a pencil is 14 cm and its diameter is 7 mm. What is the ratio of the diameter of the pencil to that of its length?

#### Solution:

Length of a pencil = 14 cm = 140 mm

Diameter of a pencil = 7 mm

**Section – C**

** ****Questions 15 to 24 are of 4 marks each.**

Question 15.

Estimate the product 2459 x 653 by rounding off each factor to its

(i) greatest place

(ii) nearest hundreds.

#### Solution:

(i) Rounding off each factor to its greatest place

∴ Product = 2400 × 600 = 1440000

(ii) nearest hundreds of 2459 is 2500 and 653 is 700

∴ Product = 2500 × 700 = 1750000

Question 16.

By using distributive laws, find 257 × 1007.

#### Solution:

257 × 1007

= 257 × (1000 + 7)

= 257000 + 1799

= 258799

Question 17.

Using number line, subtract (-3) from (-8).

#### Solution:

Start from -8 on the number line.

Move 3 units to the right. We reach at -5

∴ -8 – (-3) = -5

Question 18.

Find the greatest number that will divide 76, 113 and 186 leaving remainders 4, 5 and 6 respectively.

#### Solution:

76 – 4 = 72

113 – 5 = 108

186 – 6 = 180

HCF of 72, 108 and 180 is 36

∴ The greatest number that will divide 72,108 and 180 is 36.

Question 19.

Arrange the following integers in descending order:

-506, 2376, 2367, -311, -509, 245.

#### Solution:

-506, 2376, 2367, -311, -509, 245

Descending order:

2376, 2367, 245, -311, -506, -509

Question 20.

Arrange the following fractions in ascending order .

#### Solution:

Taking LCM of 12, 4, 8 and 6

= 2 × 2 × 2 × 3 = 24

Making all the fractions with denominator = 24

Question 21.

Simplify: .

#### Solution:

Question 22

Write all possible natural numbers using the digits 3, 0, 8. Repetition of digits is not allowed. Also find their sum.

#### Solution:

The given digits are 3, 0, 8 and repetition of digits is not allowed.

The one- digit numbers that can be formed are 0, 3 and 8.

We are required to write 2-digit numbers.

Out of the given digits, the possible ways of choosing the two digits are

3, 0, 3, 8; 8, 0

Using the digits 0 and 3, the numbers are 30.

Similarily, Using the digits 3 and 8, the numbers are 38 and 83.

Using the digits 8 and 0, the numbers are 80.

Hence, all possible 2-digit numbers are 30, 38, 83, 80

Now, We are required to write 3-digit numbers using the digits 0, 3, 8

and the repetition of the digits is not allowed.

Keeping 0 at unit’s place, the 3-digit number obtained are 380 and 830.

Keeping 3 at unit’s place, the 3-digit number obtained are 803.

Keeping 8 at unit’s place, the 3-digit number obtained is 308.

Hence, all possible 3-digit numbers are : 380, 830, 803, 308

All possible numbers using the digits 3, 0 and 8 are :

0, 3, 8, 30, 80, 38, 83, 380, 830, 803, 308.

∴ Sum of all possible numbers obtained using the digits 3, 0, 8

= 0 + 3 + 8 + 30 + 80 + 38 + 83 + 380 + 830 + 803 + 308 = 2563

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