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ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 6 acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 6

Questions 1 to 8 are of 1 mark each.
Choose the correct answer from the given four options (1 to 8):
Question 1.
The value of the expression \(\frac{5}{3}\)x² – 1 when x = -2 is

Solution.

Question 2.
By joining any two points of a circle, we obtain its
(a) radius
(b) circumference
(c) diameter
(d) chord
Solution:
chord (d)

Question 3.
Which of the following statement is true?
(a) Every closed curve is a polygon
(b) Every closed simple curve is a polygon
(c) Every simple curve made up entirely of line segment is a polygon
(d) Every simple closed curve made up entirely of line segments is a polygon.
Solution:

Question 4.
The median of the numbers 3, 1,0, 6, 5, 3, 4, 1, 2, 2 is
(a) 2
(b) 2.5
(c) 3
(d) none of these
Solution:

Question 5.
If the perimeter of a regular octagon is 72 cm, then its side is
(a) 6 cm
(b) 8 cm
(c) 9 cm
(d) 12 cm
Solution:

Question 6.
If Anandi’s present age is x years and her father’s age is 3 years less than 4 times her age, then her father’s present age is
(a) (4x – 3) years
(b) (3x – 4) years
(c) 4(x – 3) years
(d) (4x + 3) years
Solution:

Question 7.
The number of lines of symmetry which a quadrilateral cannot have is
(a) 1
(b) 2
(c) 3
(d) 4
Solution:

Question 8.
The number of bisectors that can be drawn of a given angle is
(a) 1
(b) 2
(c) 4
(d) infinitely many
Solution:
1 (a)

Section-B
Questions 9 to 14 are of 2 marks each.
Question 9.
A cuboidal box has height h cm. Its length is 4 times the height and the breadth is 7 cm less than the length. Express the length and the breadth of the box in terms of its height.
Solution:

Question 10.
In the given figure, name the point(s)
(i) in the interior of ∠EOD.
(ii) in the exterior of ∠FOE.

Solution:

Question 11.
Write the following statement in mathematical form using literals, numbers and the signs of basic operations:
“Three times a number x is equal to 12 less than twice the number y.”
Solution:

Question 12.
If the area of a rectangular plot is 240 sq. m and its breadth is 12 m, then find the perimeter of the plot.
Solution:

Question 13.
On a squared paper, sketch a hexagon with exactly one line of symmetry.
Solution:

Question 14.
Find the area of the region enclosed by the given polygon.

Solution:

Section-C
Questions 15 to 24 are of 4 marks each.
Question 15.
In the given figure, count the number of segments and name them.

Solution:

Question 16.
In the given figure, state which of the angles marked with small letters are acute, obtuse, reflex or right angle (you may judge the nature of angle by observation).

Solution:

Question 17.
There are 40 employees in a Government Office. They were asked how many children they have. The result was:
1, 2, 3, 1, 0, 2, 0, 1, 2, 2, 1, 3, 5, 2, 0, 0, 2. 4, 1, 1
2, 2, 0, 3, 0, 0, 2, 1, 3, 6, 0, 2, 1, 0, 3, 2, 2, 2, 1, 4
(i) Arrange the above data in ascending order.
(ii) Construct frequency distribution table for the given data.
Solution:

Question 18.
A survey was carried out on 32 students of class VI in a school. Data about different modes of transport used by them to travel to school was displayed in a pictograph as under:

Observe the pictograph and answer the following questions:
Observe the pictograph and answer the following questions:
(i) Which is the most popular mode of transport?
(ii) What is the number of students who travel either by cycle or walking?
(iii) What are the advantages of using a school bus as a mode of transport?
(iv) What mode of transport would you suggest and why?
Solution:

Question 19.
If p = 4, q = 3 and r = -2, then find the value of the algebraic expression \(\frac{p^{2}+q^{2}-r^{2}}{p q+q r-p r}\).
Solution:

Question 20.
A room is 5 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room completely?
Solution:

Question 21.
Solve the linear equation
3(2x – 1) = 5 – (3x – 2).
Solution:

Question 22.
Copy the given figure on a squared paper and complete the figure such that the resultant figure is symmetrical about the dotted line.

Solution:

Question 23.
Draw a net of a square pyramid.
Solution:

Question 24.
Draw a line segment of length 7.5 cm and construct its axis of symmetry.
Solution:

Section-D
Questions 25 to 29 are of 6 marks each.
Question 25.
A survey was carried out on 150 families of a colony about the consumption of milk per day. The result was recorded as:

Represent the above data by a vertical bar graph, choosing scale: 1 unit height = 6 families. What are the advantages of taking milk every day?
Solution:

Question 26.
Draw a rough sketch of a regular hexagon. Connecting three of its vertices, draw
(i) an isosceles triangle
(ii) an equilateral triangle
(iii) a right-angled triangle.
Solution:

Question 27.
The cost of cultivating a rectangular field at the rate of ₹5 per square metre is ₹2880. If the length of the field is 32 m, find the cost of fencing the field at the rate of ₹11.25 per metre.
Solution:

Question 28.
By using a ruler and compass, construct an angle of 45° and bisect it. Measure any one part.
Solution:

Question 29.
Look at the following matchstick pattern of polygons. Complete the table. Also, write the general rule that gives the number of matchsticks.

Solution:

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 5 acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 5

Choose the correct answer from the given four options (1-2):
Question 1.
The number of lines of symmetry of a protractor is
(a) 0
(b) 1
(c) 2
(d) unlimited
Solution:
1 (b)

Question 2.
If the perimeter of a regular pentagon is 60 cm, then its every side is
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 20 cm
Solution:

Question 3.
If the perimeter of a square is 42 cm, then find its area.
Solution:

Question 4.
Using a ruler and compass, construct an angle of 90°.
Solution:
Steps of Construction:

Question 5.
On a squared paper, sketch a quadrilateral with exactly two lines of symmetry. Also, sketch the lines of symmetry.
Solution:

Question 6.
If the area of a rectangular plot is 396 sq. m and its breadth is 18 m. Find the length of the plot and the cost of fencing it at the rate of ₹7.50 per metre.
Solution:

Question 7.
Draw a line segment AB of length 6.4 cm. Take a point P on AB such that AP = 4.5 cm. Draw a perpendicular to AB at P. (use ruler and compass).
Solution:

Question 8.
Copy the given figure. How many lines of symmetry it has? Draw its all lines of symmetry.

Solution:

Question 9.
In the given figure, all adjacent sides are at right angles. Find:
(i) the perimeter of the figure.
(ii) the area enclosed by the figure.

Solution:

Question 10.
Copy the given figure on a squared paper and complete the figure such that the resultant figure is symmetrical about both the dotted lines.

Solution:

https://ncertsolutionsguru.dreamwidth.org/
https://www.racked.com/users/NCERTSolutionsGuru
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ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 4 acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 4

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
Solution:

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.
Solution:

Question 3.
If = 3, q = -2 and r = -1, find the value of: 2p² + 3q – r² + 2pr – 5pqr.
Solution:

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:

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?
Solution:

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.
Solution:

Question 7.
Name each of the following triangles in two ways (you may judge by observation or use ruler and protractor):

Solution:

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.
Solution:

Question 10.
Use the given figure to name:
(i) parallel lines
(ii) concurrent lines
(ii) collinear points
(iv) two opposite rays.

Solution:

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 3 acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 3

Section-A
Questions 1 to 8 is 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:

Question 2.
he sum of the successor of 99 and the predecessor of 101 is
(a) 198
(b) 200
(c) 201
(d) 199
Solution:

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:

Question 5.
The fraction equivalent to \(\frac{360}{540}\) is

Solution:

Question 6.
Which of the following numbers is divisible by 6?
(a) 5372
(b) 6495
(c) 7632
(d) 7568
Solution:

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:

Question 8.
The ratio of a 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:

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:

Question 10.
Find the prime factorisation of 980.
Solution:

Question 11.
Find the value of-15 – (-2) – 71 – (-8) + 6.
Solution:

Question 12.
What fraction of the given figure is the shaded part?

Solution:

Question 13.
Write the mixed fraction \(7 \frac{3}{40}\) as a decimal number.
Solution:

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:

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:

Question 16.
By using distributive laws, find 257 × 1007.
Solution:

Question 17.
Using number line, subtract (-3) from (-8).
Solution:

Question 18.
Find the greatest number that will divide 76, 113 and 186 leaving remainders 4, 5 and 6 respectively.
Solution:

Question 19.
Arrange the following integers in descending order:
-506, 2376, 2367, -311, -509, 245.
Solution:

Question 20.
Arrange the following fractions in ascending order \(\frac{5}{12}, \frac{1}{4}, \frac{7}{8}, \frac{5}{6}\).
Solution:

Question 21.
Simplify: \(3 \frac{5}{6}+4 \frac{3}{4}-5-1 \frac{3}{8}\).
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:

Question 23.
Munna and Munni are aged 14 years and 10 years. Their mother wants to divide ?180 between them in the ratio of their ages. How much does each get?
Solution:

Question 24.
Do the ratios 15 cm to 3 m and 15 seconds to 3 minutes form a proportion? Justify your answer.
Solution:

Section-D
Questions 25 to 29 are of 6 marks each.
Question 25.
To stitch a shirt, 2 m 25 cm cloth is needed. Out of 30 m cloth, how many shirts can be stitched and how much cloth will remain?
Solution:

Question 26.
Four bells are ringing at intervals of 40, 30, 36 and 45 minutes respectively. At what time will they ring together again if they start ringing simultaneously at 9 A.M.?
Solution:

Question 27.
I bought fruits worth ₹\(27 \frac{3}{4}\) and vegetables worth ₹\(10 \frac{1}{2}\). If I gave a fifty-rupee note to the shopkeeper, how much will I get back?
Solution:

Question 28.
Javed purchased vegetables weighing 10 kg. Out of this, 3 kg 450 g was potatoes, 2 kg 10 g was onions, 1 kg 750 g was tomatoes and the rest were green vegetables. What was the weight of green vegetables?
Solution:

Question 29.
To get a closer finish in a 100 m race, the runners are given different starting positions, depending upon how fast they can run. A starting position of +10 means that the runner starts 10 m in front of the starting line and -5 means that the runner starts 5 m behind the start line. The competitors starting positions are :
Abbas 0 Mohan -3 Rishi -20
Pete  + 10 Tarush + 15 Sahel + 5
(i) Who starts farthest from the finish line?
(ii) How far does Tarush have to run to reach the finish line?
(iii) How far Mohan has to run to reach the finish line?
(iv) How many metres are there between the starting positions of Rishi and Peter?
(v) What value is added if the students are asked to run 1 km daily?
Solution: