ICSE

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:

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 2 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 2

Choose the correct answer from the given four options (1-2):
Question 1.
Every composite number has at least
(a) 1 factor
(b) 2 factors
(c) 3 factors
(d) 4 factors
Solution:

Question 2.
Which of the following collections form a set?
(a) Collection of 5 odd prime numbers
(b) Collection of 3 most intelligent students of your class
(c) Collection of 4 vowels in the English alphabet
(d) Collection of months of a year having less than 31 days.
Solution:

Question 3.
Find the prime factorisation of 1320.
Solution:

Question 4.
If A = {x : x is a positive multiple of 3 less than 20} and B = {x : x is an odd prime number less than 20}, then find n(A) + n(B).
Solution:

Question 5.
Reduce the fraction \(\frac{714}{1386}\) in its simplest form.
Solution:

Question 6.
Simplify the following:
\(2 \frac{3}{14}-3 \frac{5}{6}-\frac{2}{5}+2 \frac{1}{2}\)
Solution:

Question 7.
A number is divisible by 5 and 8 both. By what other numbers with that number be always divisible?
Solution:

Question 8.
Arrange the fractions \(\frac{2}{3}, \frac{7}{9}, \frac{5}{8}, \frac{3}{5}\) in ascending order.
Solution:

Question 9.
Find the smallest number of 5-digits which is divisible by 12, 15 and 18.
Solution:

Question 10.
Three bells are ringing continuously at intervals of 30, 40 and 45 minutes respectively. At what time will they ring together if they ring simultaneously at 5 A.M.?
Solution:

ML Aggarwal Class 6 Solutions for ICSE Maths Model Question Paper 1 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 1

Choose the correct answer from the given four options (1-2):
Question 1.
If the sum of two integers is -21 and one of them is -10 then the other is
(a) -32
(b) 32
(c) -11
(d) 11
Solution:

Question 2.
The number of natural numbers between the smallest natural number and the greatest 2-digit number is
(a) 90
(b) 97
(c) 98
(d) 99
Solution:

Question 3.
Find the value of 25 × 37 × 8 × 6 by suitable arrangement.
Solution:

Question 4.
Write four consecutive integers preceding -97.
Solution:

Question 5.
Write the greatest and the smallest 4-digit numbers using four different digits with the condition that 5 occurs at ten’s place.
Solution:

Question 6.
Write all possible natural numbers formed by the digits 7, 0 and 3. Repetition of digits is not allowed.
Solution:

Question 7.
Find the value of: -237 – (-328) + (-205) – 76 + 89.
Solution:

Question 8.
Abhijeet’s school is 3 km 520 m away from his home. One day while returning from his school, just after covering 1 km 370 m distance, he saw a woman who was bleeding, he took her to the nearest hospital which was 2 km 775 m away from that place and got her admitted. He came back to his home which was 4 km 565 m from the hospital.
(i) Find the distance covered by Abhijeet on that day.
(ii) What value of life is depicted by Abhijeet?
Solution:

Question 9.
Arrange the following integers in descending order:
-353, 207, -289, 702, -335, 0, -77.
Solution:

Question 10.
Find the smallest five-digit number which is exactly divisible by 254.
Solution:

ML Aggarwal Class 6 Solutions Chapter 15 Data Handling Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Check Your Progress

Question 1.
A die is thrown 25 times and the scores were as given below :
2, 1, 4, 6, 2, 3, 1, 5, 6, 3, 4, 5, 2, 1, 6, 6, 6, 3, 2, 2, 2, 4, 3, 2, 2
(i) Construct a data array.
(ii) Construct a tally chart and frequency distribution table.
Solution:

Question 2.
In primary school, the number of students in different classes is as follows:

Represent this data by a pictograph, using  ≃ 20 students.
Solution:

Question 3.
Observe the following bar graph, showing the marks scored by Gurmeet in the annual examination in different subjects: Answer the following questions:

(i) What is the scale of this bar graph?
(ii) In which subject Gurmeet obtained maximum marks?
(iii) In which subject she obtained minimum marks?
(iv) Name the subject(s) in which she got 80 or more marks.
Solution:

Question 4.
The following table shows the monthly expenditure of a family on various items:

Represent the data by a bar graph.
Solution:

Question 5.
Find the mean and the median of the following data:
5, 3, 12, 0, 7, 11, 4, 3, 9
Solution:

ML Aggarwal Class 6 Solutions Chapter 15 Data Handling Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A ……. is a collection of numerical figures to give some information.
(ii) Each numerical figure in data is called an ………..
(iii) The number of times a particular observation occurs in a data is called … of the observation.
(iv) A data arranged in ascending or descending order is called an ………… data.
(v) A pictorial representation of a data is called a …………
(vi) If represent 5 students then  represent ………… students.
(vii) In a pictograph, if one bicycle represents 20 bicycles then 140 bicycles can be represented by ………… bicycles.
(viii)In a pictograph, if one electric bulb represents 10 bulbs then the picture of half a bulb will represent ………… bulbs.
(ix) In a pictograph, if the symbol represents 50 fruits baskets, then  represent ………… fruit baskets.
(x) The frequency of 8 is written symbolically as ………… using tally marks.
(xi) In a bar graph, the bars are of uniform …………
(xii) The mean of the first 8 natural numbers is …………
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) If the data is large, it is difficult to get information from raw data.
(ii) Pictographs and bar graphs help us in understanding and analyzing a data.
(iii) In a bar graph, bars can be drawn either vertically or horizontally.
(iv) In a bar graph, width of a bar has no significance. It is only for eye attraction.
(v) Usually, the tally marks are recorded in bunches of 5.
(vi) The frequency 9 is represented as filtlll using tally marks.
(vii) Mentioning of scale is necessary in pictographs.
(viii) Mean is always one of the number in a given data.
(ix) Median is always one of the numbers in a given data.
Solution:

Multiple Choice Questions
Observe the following pictograph which shows the number of ice cream cones sold by school canteen during a week. Chose the correct answer from the given options for questions 3 to 7:

Question 3.
The minimum number of ice cream cones were sold on:
(a) Monday
(b) Saturday
(c) Tuesday
(d) Thursday
Solution:
Thursday (d)

Question 4.
The maximum number of ice cream cones were sold on:
(a) Tuesday
(b) Friday
(c) Wednesday
(d) Thursday
Solution:
Tuesday (a)

Question 5.
Ratio of the number of ice cream cones sold on Saturday to the number of ice cream cones sold on Wednesday is.
(a) 3 : 2
(b) 2 : 3
(c) 4 : 5
(d) 4 : 7
Solution:

Question 6.
Total number of ice cream cones sold during the whole week was:
(a) 33
(b) 67
(c) 65
(d) 57
Solution:

Question 7.
If the cost of one ice cream cone is ₹20, then the sale value on Thursday was:
(a) ₹70
(b) ₹100
(c) ₹140
(d) ₹1340
Solution:

Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options for questions 8 to 11:

Question 8.
Which country played a maximum number of matches?
(a) India
(b) England
(c) Pakistan
(d) Australia
Solution:
Australia (d)

Question 9.
How many matches did South Africa play?
(a) 16
(b) 18
(c) 20
(d) 24
Solution:
18 (b)

Question 10.
How many more matches were played by India than Pakistan?
(a) 6
(b) 12
(c) 24
(d) 30
Solution:

Question 11.
Ratio of the number of matches played by India to the number of matches played by Sri Lanka is
(a) 4 : 5
(b) 5 : 4
(c) 4 : 3
(d) 7 : 6
Solution:

Choose the correct answer from the given four options for questions 12 and 13:
Question 12.
The mean of the first 6 odd natural numbers is
(a) 5
(b) 5.5
(c) 6
(d) 6.5
Solution:

Question 13.
The median of the numbers 4, 4, 7, 5, 7, 6, 1, 3, 11 is
(a) 7
(b) 6
(c) 5
(d) 4
Solution:

ML Aggarwal Class 6 Solutions for ICSE Maths

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A ……. is a collection of numerical figures to give some information.
(ii) Each numerical figure in data is called an ………..
(iii) The number of times a particular observation occurs in a data is called … of the observation.
(iv) A data arranged in ascending or descending order is called an ………… data.
(v) A pictorial representation of a data is called a …………
(vi) If represent 5 students then represent ………… students.
(vii) In a pictograph, if one bicycle represents 20 bicycles then 140 bicycles can be represented by ………… bicycles.
(viii)In a pictograph, if one electric bulb represents 10 bulbs then the picture of half a bulb will represent ………… bulbs.
(ix) In a pictograph, if the symbol represents 50 fruits baskets, then represent ………… fruit baskets.
(x) The frequency of 8 is written symbolically as ………… using tally marks.
(xi) In a bar graph, the bars are of uniform …………
(xii) The mean of the first 8 natural numbers is …………
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) If the data is large, it is difficult to get information from raw data.
(ii) Pictographs and bar graphs help us in understanding and analyzing a data.
(iii) In a bar graph, bars can be drawn either vertically or horizontally.
(iv) In a bar graph, width of a bar has no significance. It is only for eye attraction.
(v) Usually, the tally marks are recorded in bunches of 5.
(vi) The frequency 9 is represented as filtlll using tally marks.
(vii) Mentioning of scale is necessary in pictographs.
(viii) Mean is always one of the number in a given data.
(ix) Median is always one of the numbers in a given data.
Solution:

Multiple Choice Questions
Observe the following pictograph which shows the number of ice cream cones sold by school canteen during a week. Chose the correct answer from the given options for questions 3 to 7:

Question 3.
The minimum number of ice cream cones were sold on:
(a) Monday
(b) Saturday
(c) Tuesday
(d) Thursday
Solution:
Thursday (d)

Question 4.
The maximum number of ice cream cones were sold on:
(a) Tuesday
(b) Friday
(c) Wednesday
(d) Thursday
Solution:
Tuesday (a)

Question 5.
Ratio of the number of ice cream cones sold on Saturday to the number of ice cream cones sold on Wednesday is.
(a) 3 : 2
(b) 2 : 3
(c) 4 : 5
(d) 4 : 7
Solution:

Question 6.
Total number of ice cream cones sold during the whole week was:
(a) 33
(b) 67
(c) 65
(d) 57
Solution:

Question 7.
If the cost of one ice cream cone is ₹20, then the sale value on Thursday was:
(a) ₹70
(b) ₹100
(c) ₹140
(d) ₹1340
Solution:

Observe the adjoining bar graph, showing the number of one-day international matches played by cricket teams of different countries. Choose the correct answer from the given four options for questions 8 to 11:

Question 8.
Which country played a maximum number of matches?
(a) India
(b) England
(c) Pakistan
(d) Australia
Solution:
Australia (d)

Question 9.
How many matches did South Africa play?
(a) 16
(b) 18
(c) 20
(d) 24
Solution:
18 (b)

Question 10.
How many more matches were played by India than Pakistan?
(a) 6
(b) 12
(c) 24
(d) 30
Solution:

Question 11.
Ratio of the number of matches played by India to the number of matches played by Sri Lanka is
(a) 4 : 5
(b) 5 : 4
(c) 4 : 3
(d) 7 : 6
Solution:

Choose the correct answer from the given four options for questions 12 and 13:
Question 12.
The mean of the first 6 odd natural numbers is
(a) 5
(b) 5.5
(c) 6
(d) 6.5
Solution:

Question 13.
The median of the numbers 4, 4, 7, 5, 7, 6, 1, 3, 11 is
(a) 7
(b) 6
(c) 5
(d) 4
Solution: