Model Question **Paper-4 Class-6 ML Aggarwal** ICSE Maths Solutions . APC Understanding Mathematics for ICSE Class-6 Model Question Paper-4 Solutions based on Chapter-9 to 11. Visit official Website **CISCE** for detail information about ICSE Board **Class-6** Mathematics.

## Model Question Paper-4 Class-6 ML Aggarwal ICSE Maths Solutions

( based on chapter-9 to 11)

Time Allowed-1 hour

max mark-25

**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.

**Paper-4 Class-6 ML Aggarwal **

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

Question 1.

Avanti’s present age is y years and her mother’s age is 4 years less than 3 times her age, then her mother’s present age is

(a) (3y + 4) years

(b) (4y – 3) years

(c) (3y – 4) years

(d) 3(y – 4) years

#### Answer

The present age of Avanti = y years

Mother’s age = 4 years less than 3 times

Avanti’s age = (3y – 4) years (c)

Hence, Answer is (c) ⇒ (3y – 4) years

Question 2.

Which of the following statements is false?

(a) Every square is a rhombus.

(b) An equilateral triangle is a regular polygon.

(c) A triangle having all acute angles is scalene.

(d) Every square is a regular polygon.

#### Answer

A triangle having all acute angles is scalene. (c)

Question 3.

If = 3, q = -2 and r = -1, find the value of: 2p^{2} + 3q – r^{2} + 2pr – 5pqr.

#### Answer

p – 3, q = -2 and r = -1

2p^{2} + 3q – r^{2} + 2pr – 5pqr

Put the value ofp, q, r in the given equation.

= 2(3)^{2} + 3(-2) – (-1)^{2} + 2(3)(-1) – 5(3)(-2)(-1)

= 2(9) – 6 – 1 + 2(-3) – 5(6)

or 18 – 7 – 6 + 30

= 11 – 6 – 30

= 5 – 30 = -25

Question 4.

Fill in the following blanks:

(i) A polygon is a closed simple curve made up of entirely ………….

(ii) A cuboid has 6 rectangular faces, edges and ………. vertices.

Solution:

(i) A polygon is a closed simple curve made up of entire line segment.

(ii) A cuboid has 6 rectangular faces, 12 edges and 8 vertices.

Question 5.

Give reason(s) of using triangular shapes and not polygonal shapes consisting of four or more sides in constructing structures like electric towers and bridges. What value is added in using triangular shapes?

#### Answer

Triangular shapes are rigid and cannot be distorted by pressure

while other polygon shapes consisting of four or more sides

are likely to be distorted by pressure.

Structures made up of triangular shapes are sturdy and have a long life,

so these add safety in our life.

Question 6.

Look at the following pattern of squares fonned by matchsticks:

Find the rule that gives the number of matchsticks required in terms of the number of squares formed.

#### Answer

In n squares are formed,

then the number of matchsticks required 3n + 1.

Question 7.

Name each of the following triangles in two ways (you may judge by observation or use ruler and protractor):

#### Answer

(i) Obtuse angled and scalene.

(ii) Isosceles and right-angled.

Question 8.

Draw a net of a regular tetrahedron.

Solution:

Question 9.

Solve the linear equation:

4 – 3(5x + 2) = 4(7 – 3x).

Also, verify the solution.

#### Answer

4 – 3(5x + 2) = 4(7 – 3x)

⇒ 4 – (15x – 6) = 28 – 12x

⇒ -2 – 15x = 28 – 12x

or -15x + 12x = 28 + 2

⇒ -3x = 30

⇒ x =

hence x = -10

Question 10.

Use the given figure to name:

(i) parallel lines

(ii) concurrent lines

(ii) collinear points

(iv) two opposite rays.

#### Answer

— End of Model Question **Paper-4 Class-6 ML Aggarwal** Solutions :–

Return to **– ML Aggarwal Maths Solutions for ICSE Class -6**

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