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ML Aggarwal Class 7 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 7 ICSE Maths Model Question Paper 1

(Based on Chapters 1 to 3)
Time allowed: 1 Hour
Maximum Marks: 25

Instructions

• 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.

Choose the correct answer from the given four options (1-2):
Question 1.
(-10) × 2 + 0 ÷ (-2) is equal to
(a) -20
(b) 20
(c) -22
(d) 22
Solution:

Question 2.
The sum of a rational number \(\frac { -1 }{ 2 }\) and its multiplicative inverse is
(a) 0
(b) 1
(c) -2\(\frac { 1 }{ 2 }\)
(d) -2
Solution:

Question 3.
Evaluate: (-36) ÷ ((-14) + 2).
Solution:

Question 4.
If the length of a rectangle is 8.26 cm and its breadth is 5.5 cm, then find the area of the rectangle.
Solution:

Question 5.
Reduce the rational number \(\frac { 105 }{ -168 }\) standard form.
Solution:

Question 6.
In a competition, the question paper consists of 20 questions. 5 marks are awarded for every correct answer and 2 marks are deducted for every incorrect answer and 0 marks for every question not attempted. Vishal attempted 17 questions and got 11 correct answers. What is his score?
Solution:

Question 7.
Barkha bought 20\(\frac { 3 }{ 8 }\) kg rice at the rate of ₹ 17\(\frac { 1 }{ 2 }\) per kg and sent it to an orphanage. Find the amount spent by Barkha. What value is being promoted?
Solution:

Question 8.
Which rational number is greater -5\(\frac { 5 }{ 9 }\) or -5\(\frac { 7 }{ 12 }\) ?
Solution:

Question 9.
Simran walks 1\(\frac { 5 }{ 12 }\) km from a place A towards north and then from there she walks 2\(\frac { 7 }{ 9 }\) km towards south. Where will be she now from place A?
Solution:

Question 10.
If the product of two decimal numbers is 17.55 and one of them is 2.7, then find the other.
Solution:

ML Aggarwal Class 7 Solutions Chapter 16 Perimeter and Area 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 7 Solutions for ICSE Maths Chapter 16 Perimeter and Area Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) The perimeter of a regular polygon = ……….. × length of a side.
(ii) The unit of measurement of the area is ……….
(iii) The perimeter of a rhombus is = 4 × ………
(iv) An area of 1 km² = ……… hectare
(v) If the perimeter of a parallelogram is 40 cm and the length of one side is 12 cm, then the length of the adjacent side is ……
(vi) To find the cost of polishing a table-top, we need to find the ………. of the table-top.
(vii) The ratio of circumference to the diameter of a circle is ………..
(viii) If the area of a triangular piece of cardboard is 90 cm², then the length of the altitude corresponding to 20 cm long base is ………. cm.
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) A diagonal of a rectangle divides it into two right-angled triangles of equal areas.
(ii) A diagonal of a parallelogram divides it into two triangles of equal areas.
(iii) If the perimeter of two parallelograms is equal, then their areas are also equal.
(iv) All parallelogram having equal areas have the same perimeters.
(v) The area of a circle of diameter d is πd².
(vi) Area of a parallelogram = product of lengths of its two adjacent sides.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 14):
Question 3.
If the perimeter of a square is 24 cm, then its area is
(a) 16 cm²
(b) 24 cm²
(c) 36 cm²
(d) 36 m²
Solution:

Question 4.
If the area of a parallelogram is 54 cm² and the length of one side is 7.5 cm, then the corresponding height is
(a) 7.2 cm
(b) 14.4 cm
(c) 3.6 cm
(d) 13.5 cm
Solution:

Question 5.
If the base of a triangle is doubled and its height is halved, then the area of the resulting triangle
(a) decreases
(b) increases
(c) doubles
(d) remains the same
Solution:

Question 6.
If the height of a parallelogram is doubled and base tripled, then its area becomes
(a) 2 times
(b) 3 times
(c) 6 times
(d) 12 times
Solution:

Question 7.
The circumference of the circle with diameter 28 cm is
(a) 44 cm
(b) 88 cm
(c) 176 cm
(d) 616 cm
Solution:

Question 8.
The ratio of circumference to the area of a circle of radius r units is
(a) 2 : r
(b) r : 2
(c) 1 : r
(d) π : r
Solution:

Question 9.
If the area of a circle is numerically equal to its circumference, then the radius of the circle is
(a) 1 unit
(b) 2 units
(c) 3 units
(d) 4 units
Solution:

Question 10.
The area of a circle of diameter d is
(a) 2πd²
(b) πd²
(c) \(\frac { \pi { d }^{ 2 } }{ 2 }\)
(d) \(\frac { \pi { d }^{ 2 } }{ 4 }\)
Solution:

Question 11.
If the ratio of the radii of two circles is 2 then the ratio of their circumferences is
(a) 2 : 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4
Solution:

Question 12.
If the ratio of the radii of two circles is 3 : 5, then the ratio of their areas is
(a) 3 : 5
(b) 5 : 3
(c) 25 : 9
(d) 9 : 25
Solution:

Question 13.
The perimeter of a semicircle (including its diameter) of radius 7 cm is
(a) 22 cm
(b) 29 cm
(c) 36 cm
(d) 44 cm
Solution:

Question 14.
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm, then the radius of the circle is
(a) 21 cm
(b) 14 cm
(c) 10.5 cm
(d) 7 cm
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
In the given figure, ABDE is a parallelogram, find the area of the trapezium ACDE.

Solution:

Question 2.
In the given figure, the length of the rectangle is 28 cm. Find the area of the shaded region.

Solution:

Question 3.
In the given figure, ABCD is a square of side 14 cm. A, B, C, and D are centers of circular arcs of equal radius. Find the perimeter and the area of the shaded region.

Solution:

ML Aggarwal Class 7 Solutions Chapter 17 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 7 Solutions for ICSE Maths Chapter 17 Data Handling Check Your Progress

Question 1.
State whether the following statement is true or false. Justify your answer:
“The median is always one of the numbers in data.”
Solution:

Question 2.
Marks obtained by five students of class VII in quarterly and half-yearly examination in Mathematics (out of 25) are given below:

Represent the above data by a bar graph and answer the following questions:
(i) Do you see any improvement? Justify your answer.
(ii) Who has not done better?
Solution:

Question 3.
Find the mean of the factors of 12.
Solution:

Question 4.
Find the median and the mode of the following data:
2, 14, 16, 12, 13, 14, 16, 13, 10, 14, 18, 9
Solution:

Question 5.
Heights (in cm) of 25 students are given below:
168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 157, 165, 148, 163, 164, 160, 165, 163, 152, 155, 163.
What is the mode of their heights?
Solution:

Question 6.
A die is thrown, what is the probability of getting an odd prime number?
Solution:

Question 7.
A letter is chosen at random from the letters of the word MATHEMATICS, what is the probability of getting
(i) letter M
(ii) a vowel
(iii) a consonant?
Solution:

ML Aggarwal Class 7 Solutions Chapter 17 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 7 Solutions for ICSE Maths Chapter 17 Data Handling Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) The number of times a particular observation occurs in a data is called ………. of that observation.
(ii) The frequency of 9 is written symbolically as ………. using tally marks.
(iii) In a bar graph, the height (or length) of a bar is equal to or proportional to the frequency of the ……….
(iv) Double bar graphs help us in comparing two ……….. at a glance.
(v) The most common representative value of a statistical data is the ……….. of the data.
(vi) Mode of a data is the observation which occurs …………. number of times in the given data.
(vii) The arithmetic mean of first 10 natural numbers is ……….
(viii) When a die is rolled, the probability of getting a number more than 5 is ………..
(ix) The probability of an ……….. event is 0.
(x) The probability of a ………… event is 1.
(xi) Median is one of the observations is the data if the number of observations is ………..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) Mean is the value of observation that occurs most frequently.
(ii) The range of the data -3, 4, -5, 1, -2, 0 is -9.
(iii) Mode is always one of the numbers in a data.
(iv) There is only one mode for a given data.
(v) Mean is always one of the numbers in a data.
(vi) The data 6, 4, 3, 8,9, 12, 13, 9 has mean 9.
(vii) Median of the data may or may not be from given given data.
(viii) The measures of central tendency may not lie between the maximum and minimum value of data.
(ix) If the extreme observations on both ends of a data arranged in ascending order are removed, then the median gets affected.
(x) The probability of getting an ace out of a deck of playing cards can be greater than 1.
(xi) Median of 4, 5, 9, 2, 6, 8, 7 is 2.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 18):
Question 3.
Which of the following is not a central tendency of a data?
(a) Mean
(b) Median
(c) Mode
(d) Range
Solution:

Question 4.
The difference between the highest and the lowest observations in a data is its
(a) frequency
(b) width
(c) range
(d) mode
Solution:

Question 5.
A cricketer scored 38, 79, 25, 52, 0, 8, 100 runs in seven innings. The range of the runs scored is
(a) 100
(b) 92
(c) 52
(d) 38
Solution:

Question 6.
If the mean of 3, 1, 5, x and 9 is 4, then the value of x is
(a) 6
(b) 4
(c) 2
(d) 0
Solution:

Question 7.
The number of goals scored by a football team in a series of matches are: 3, 5, 0, 1, 2, 0, 4, 1, 3. The median of this data is
(a) 3
(b) 2
(c) 2.5
(d) 1
Solution:

Question 8.
The median of the first 49 natural numbers is
(a) 24
(b) 25
(c) 25.5
(d) 26
Solution:

Question 9.
The mean of three different natural numbers is 40. If lowest is 19, what could be highest possible number of remaining two numbers?
(a) 40
(b) 71
(c) 81
(d) 100
Solution:

Question 10.
The mode of the data:
3, 5, 1, 2, 0, 2, 3, 5, 0, 2, 1, 6 is
(a) 6
(b) 3
(c) 2
(d) 1
Solution:

Question 11.
The probability of a sure event is
(a) 0
(b) \(\frac { 1 }{ 4 }\)
(c) \(\frac { 1 }{ 2 }\)
(d) 1
Solution:

Question 12.
The probability of an impossible event is
(a) -1
(b) 0
(c) \(\frac { 1 }{ 2 }\)
(d) 1
Solution:

Question 13.
The probability of a newly born baby to be a girl is
(a) 0
(b) \(\frac { 1 }{ 4 }\)
(c) \(\frac { 1 }{ 2 }\)
(d) 1
Solution:

Question 14.
The probability of selecting letter G from the word GIRL is
(a) 1
(b) \(\frac { 1 }{ 2 }\)
(c) \(\frac { 1 }{ 4 }\)
(d) \(\frac { 1 }{ 3 }\)
Solution:

Question 15.
The probability of selecting a vowel from the word ALPHABET is
(a) \(\frac { 1 }{ 2 }\)
(b) \(\frac { 1 }{ 7 }\)
(c) \(\frac { 2 }{ 7 }\)
(d) \(\frac { 3 }{ 8 }\)
Solution:

Question 16.
When a die is thrown, the probability of getting a composite number is
(a) \(\frac { 1 }{ 2 }\)
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 1 }{ 4 }\)
(d) \(\frac { 2 }{ 3 }\)
Solution:

Question 17.
A bag contains 5 white balls and 10 black balls. The probability of drawing a white ball from the bag is
(a) \(\frac { 5 }{ 10 }\)
(b) \(\frac { 5 }{ 15 }\)
(c) \(\frac { 10 }{ 15 }\)
(d) 1
Solution:

Question 18.
In a school, only 2 out of 5 students can participate in a quiz. What is the probability that a student picked at random makes it to the competition?
(a) 50%
(b) 40%
(b) 30%
(d) 20%
Solution:

Value Based Questions

Question 1.
The following table shows the time (in hours) spent by a student of class VII in a day:

Draw a bar graph to represent the above data. Is it correct to watch T.V. for 3 hours and studying just 2 hours daily?
Solution:

Question 2.
In a game, a fair coin is tossed. A person is paid ₹ 5 if he gets head and he pays ₹ 2 if he gets tail. Find the probability of winning ₹ 5. Is gambling a good way of earning money?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
The mean of 6 observations is 17.5. If five of them are 14, 9, 23, 25 and 10, find the sixth observation.
Solution:

Question 2.
The mean height of 10 students is 151.8 cm. Two more students of heights 157.6 cm and 154.4 cm join the group. What is the new mean height?
Solution:

Question 3.
The following observations have been arranged in ascending order. If the median of the data is 13, find the value of x:
3, 6, 7, 10, x, x + 4, 19, 20, 25, 28
Solution:

Question 4.
If the mean of the data (given below) is 4.5, then find the median of the data:
5, 7, 7, 8, x, 3, 1, 5, 4, 2
Solution:

Question 5.
Find the probability of getting 53 Sunday’s in a leap year.
Solution:

ML Aggarwal Class 7 Solutions Chapter 17 Data Handling Ex 17.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.4

Question 1.
Tell whether the following is certain to happen, impossible to happen, can happen but not certain:
(i) You are older today than yesterday.
(ii) Two hundred people can sit in a Maruti car.
(iii) A tossed coin will land heads up.
(iv) A die when tossed shall land up with 8 on top.
(v) India will win the next test series.
(vi) Tomorrow will be a cloudy day.
(vii) The next traffic light seen will be green.
Solution:

Question 2.
A coin is flipped to decide which team starts the game. What is the probability that your team will start the game?
Solution:

Question 3.
There are 6 marbles in a box with numbers 1 to 6 marked on them.
(i) What is the probability of drawing a marble with number 5?
(ii) What is the probability of drawing a marble with number 2?
Solution:

Question 4.
A die is tossed once. Find the probability of getting
(i) a number less than 3
(ii) a prime number
(iii) a number greater than 2
Solution:

Question 5.
A box contains 3 defective mangoes and 21 good mangoes. One mango is drawn from the box at random. Find the probability of getting
(i) a defective mango
(ii) a good mango
Solution:

Question 6.
A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of getting
(i) a red card
(ii) a king
(iii) a card of spades
Solution: