Chapter 1: Integers[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics Worksheet

Chapter 1: Integers

Instructions:

Read each question carefully before attempting.
Show all your workings.
Write your answers in the space provided.

1. Define the term ‘integer’ in your own words. (2 marks)

2. Identify the integers in the following number line:

$- 8 - 5036$

a) List the integers represented. (2 marks)

b) Are there any negative integers between -5 and 3? If yes, write them. (1 mark)

3. Solve the following addition problems:

a) $- 7 + (- 3)$ (2 marks)

b) $- 10 + 5$ (2 marks)

4. Subtract the following integers:

a) $8 - (- 3)$ (3 marks)

b) $4 - 9$ (2 marks)

5. Find the product of the following integers:

a) $(- 2) \times 6$ (2 marks)

b) $(- 5) \times (- 4)$ (3 marks)

6. Apply the rules of integers to determine the sign of the result:

a) $(- 9) + 7 - 2$ (3 marks)

b) $(- 4) \times 3 - 5$ (3 marks)

7. Challenge: Explain in a few sentences why the product of two negative integers is positive. (3 marks)

End of Worksheet

Remember to review your work before submitting. Good luck![/expand]

Chapter 2: Fractions and Decimals[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics Worksheet

Chapter: Fractions and Decimals

Name: _______________ Date: _

Instructions:

Read each question carefully.
Show all your workings.
Write your answers in the space provided.

Question 1: Identify the numerator and denominator in the fraction $4 3$ .

Answer:
Numerator: __________
Denominator: __________

Question 2: Represent the fraction $8 5$ on the number line.

Answer:
$Include a labeled number line with the fraction marked on it.$

Question 3: Convert the fraction $5 2$ to a decimal.

Answer:
$Show your steps and write the decimal equivalent.$

Question 4: Compare the fractions $3 1$ and $5 2$ . Use the symbols <, >, or =.

Answer:
$Write the comparison result.$

Question 5: Add $7 3 + 7 2$ .

Answer:
$Show your steps and write the simplified fraction.$

Question 6: Subtract $4.6 - 10 3$ .

Answer:
$Show your steps and write the result as a decimal.$

Question 7: Order the following decimals from least to greatest: $0.25, 0.15, 0.4, 0.35$ .

Answer:
$Write the decimals in the correct order.$

Question 8: Solve the word problem:

Emily bought a pizza. She ate $8 3$ of it for lunch and $4 1$ for dinner. What fraction of the pizza did she eat in total?

Answer:
$Show your steps and write the simplified fraction.$

Question 9: Convert the decimal $0.6$ to a fraction.

Answer:
$Show your steps and write the fraction in its simplest form.$

Question 10: A rope is $5 4$ meter long. If it is cut into pieces, each $10 1$ meters long, how many pieces are there?

Answer:
$Show your steps and write the answer.$

End of Worksheet

This worksheet covers various aspects of the “Fractions and Decimals” chapter, including identifying components of fractions, representation on a number line, conversion, comparison, basic operations, and real-life application. Adjust the complexity of the questions based on the proficiency level of the students.[/expand]

Chapter 3: Data Handling[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics Worksheet

Chapter: Data Handling

Name: Roll No: Date: __

I. Multiple Choice Questions (1 mark each)

What is data? a. Information b. Numbers c. Facts and figures d. Graphs
How is data organized in a frequency table? a. Alphabetically b. Randomly c. Based on frequency d. Based on size
Which type of graph is best suited for representing categorical data? a. Line graph b. Bar graph c. Pie chart d. Histogram

II. Fill in the Blanks (1 mark each)

A ________ is a way to display data where each piece of data represents a category.
The number of times a particular data point occurs is called its ________.
In a frequency table, the ________ shows the categories, and the ________ shows the corresponding frequencies.

III. Short Answer Questions (2 marks each)

Explain the difference between qualitative and quantitative data. Provide an example of each.
Create a frequency table for the following data:
Days Monday Tuesday Wednesday Thursday Friday
Sales 15 20 10 25 18
Draw a bar graph using the frequency table from question 8.

Days	Monday	Tuesday	Wednesday	Thursday	Friday
Sales	15	20	10	25	18

IV. Application-Based Questions (3 marks each)

Imagine you conducted a survey in your class about students’ favorite subjects. Create a frequency table and a pie chart to represent the data.
Analyze the following bar graph and answer the questions:

a. Which month had the highest sales? b. In which month did the sales decrease?

V. Long Answer Question (5 marks)

You are given data on the number of books read by students in a library over a week. Design a project report that includes a frequency table, a bar graph, and a pie chart to represent this data. Analyze the data and draw conclusions based on your graphical representations.

Note:

Ensure that your answers are neat and organized.
Clearly label your graphs and charts.
Show all the steps involved in solving the problems.

Teacher’s Feedback: ________________

This worksheet covers various question types to assess students’ understanding of the Data Handling chapter, including multiple choice questions, fill-in-the-blanks, short answer questions, application-based questions, and a long answer question.[/expand]

Chapter 4: Simple Equations[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: Simple Equations

Instructions:

Solve the following equations using the balancing method.
Clearly show each step in your solution.
Check your answers by substituting the values back into the original equation.
$2 x + 5 = 17$
$3 y - 8 = 13$
$4 a + 9 = 25$
$b - 7 = 12$
Solve for $c$ : $2 c + 6 = 20$
Solve for $m$ : $5 m - 3 = 22$
If $n + 4 = 14$ , find the value of $n$ .
The sum of $p$ and 6 is 18. Write and solve the equation.
A number $q$ decreased by 9 is 14. Write and solve the equation.
The perimeter of a rectangle is 30 cm. If the length is $l$ cm and the width is $w$ cm, write and solve the equation.

Word Problems:

The sum of twice a number and 7 is 29. Find the number.
Mary has $x$ chocolates. If she gives 5 chocolates to her friend, she will have 12 left. Write and solve the equation to find how many chocolates Mary had initially.

Challenge Problem:

The product of a number and 3, decreased by 5, is equal to 16. Write and solve the equation to find the number.

Answer Key:

$x = 6$
$y = 7$
$a = 4$
$b = 19$
$c = 7$
$m = 5$
$n = 10$
$p = 12$
$q = 23$
$l = 9, w = 6$
The number is $11$ .
Mary initially had $17$ chocolates.
The number is $7$ .

Ensure to review and adjust the difficulty level based on the class’s understanding and the pace of teaching in your particular classroom.[/expand]

Chapter 5: Lines and Angles[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: Lines and Angles

Name: ____________________________ Class: 7 Date: ______________

Instructions:

Read each question carefully before attempting.
Show all your workings.
Answer all the questions.

Section A: Multiple Choice Questions

What is the sum of interior angles of a triangle? a) 90 degrees b) 180 degrees c) 270 degrees d) 360 degrees
In a right-angled triangle, the angle opposite the right angle is called: a) Acute angle b) Obtuse angle c) Hypotenuse d) Adjacent angle
If two angles are complementary, their sum is: a) 90 degrees b) 180 degrees c) 270 degrees d) 360 degrees
What is the measure of each angle in an equilateral triangle? a) 60 degrees b) 90 degrees c) 120 degrees d) 180 degrees

Section B: True/False

The angles opposite each other when two lines intersect are called corresponding angles. (True/False)
If two angles are supplementary, then each angle is less than 90 degrees. (True/False)

Section C: Fill in the Blanks

The sum of angles in a quadrilateral is __________ degrees.
Two angles whose measures add up to 180 degrees are called __________ angles.

Section D: Problems

In a triangle, if one angle is 45 degrees and the other is 75 degrees, find the measure of the third angle.
The measure of an angle is 30 degrees less than its supplement. Find the measure of each angle.

Answers:

b) 180 degrees
c) Hypotenuse
a) 90 degrees
a) 60 degrees
False
False
360
Supplementary
The third angle is 60 degrees.
One angle is 75 degrees, and the other is 105 degrees.

Feel free to modify the questions based on the specific focus and depth you want for your students.[/expand]

Chapter 6: The Triangle and Its Properties[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: The Triangle and Its Properties

Name: _____________ Date: _

Instructions:

Answer all questions.
Show all the steps in solving the problems.
Use a protractor and ruler where necessary.
Write your answers in the space provided.

1. Classify the following triangles based on sides:

a) $△ A BC$ with $A B = BC = A C$ is a ________ triangle.

b) $△ PQR$ with $PQ = PR \neq = QR$ is a ________ triangle.

c) $△ X Y Z$ with $X Y \neq = Y Z \neq = XZ$ is a ________ triangle.

2. Classify the following triangles based on angles:

a) $△ MNO$ with $∠ M = ∠ N = ∠ O$ is a ________ triangle.

b) $△ U VW$ with $∠ U > ∠ V > ∠ W$ is a ________ triangle.

c) $△ X Y Z$ with $∠ X + ∠ Y + ∠ Z = 18 0^{\circ}$ is a ________ triangle.

3. Find the value of the missing angle in each triangle:

a) $△ A BC$ , where $∠ A = 5 0^{\circ}$ and $∠ B = 8 0^{\circ}$ . $∠ C = ?$

b) $△ PQR$ , where $∠ P = 3 0^{\circ}$ and $∠ Q = 6 0^{\circ}$ . $∠ R = ?$

c) $△ X Y Z$ , where $∠ X + ∠ Y = 12 0^{\circ}$ and $∠ Z = ?$

4. Determine whether the following statements are true or false:

a) In an equilateral triangle, all angles are equal.

b) A triangle with one angle measuring $9 0^{\circ}$ is an obtuse-angled triangle.

c) The sum of the interior angles of any triangle is $18 0^{\circ}$ .

5. Solve the following problems:

a) In $△ L MN$ , if $L M = 5 c m$ , $L N = 8 c m$ , and $MN = 7 c m$ , determine the type of triangle and justify your answer.

b) The exterior angle at vertex $A$ of $△ A BC$ measures $12 0^{\circ}$ . Find the measures of angles $B$ and $C$ .

c) A triangle has angles in the ratio $2 : 3 : 5$ . Determine the measures of each angle.

6. Application:

Imagine you are an architect designing a triangular roof for a house. The base angles need to be acute. Design a triangle and calculate the measures of the angles to ensure the roof is stable and aesthetically pleasing.

Answer Key: (Note: Provide an answer key with correct solutions and explanations.)

Remember, this is just a sample worksheet. Feel free to modify it according to the specific requirements of your class or curriculum.[/expand]

Chapter 7: Congruence of Triangles[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: Congruence of Triangles

Instructions:

Determine whether the given pairs of triangles are congruent.
If the triangles are congruent, identify the corresponding parts.
Use the conditions of congruence (SSS, SAS, ASA, RHS) to justify your answers.
Solve for the unknown angles and sides.

Problem 1:

Given two triangles $A BC$ and $D EF$ , where

$A B = D E$

$BC = EF$

$∠ A BC = ∠ D EF$

Are triangles $A BC$ and $D EF$ congruent? If yes, write the corresponding parts.

Problem 2:

In triangle $PQR$ , $RS = PQ$ , $∠ PQR = ∠ RSQ$ , and $PR = RS$ .

Are triangles $PQR$ and $RSQ$ congruent? If yes, write the corresponding parts.

Problem 3:

Triangle $L MN$ is congruent to triangle $X Y Z$ by SAS.

If $L N = 8$ cm, $X Y = 8$ cm, and $∠ M = ∠ Y$ , find the length of $MN$ and $XZ$ .

Problem 4:

Given triangles $J K L$ and $MNO$ with $J K = MO$ , $∠ K J L = ∠ MON$ , and $∠ J L K = ∠ MNO$ .

Are triangles $J K L$ and $MNO$ congruent? If yes, write the corresponding parts.

Problem 5:

In triangle $A BC$ , $∠ A = 6 0^{\circ}$ , $A B = BC$ , and $A C = 5$ cm.

Determine the measures of $∠ B$ and $∠ C$ .

Problem 6:

Triangles $PQR$ and $ST U$ are congruent by ASA.

If $∠ Q = ∠ S = 9 0^{\circ}$ and $PR = T U = 12$ cm, find the length of $Q U$ and $P U$ .

Problem 7:

Given two triangles $D EF$ and $MNO$ where $D E = MN$ , $∠ D = ∠ M$ , and $∠ E = ∠ N$ .

Are triangles $D EF$ and $MNO$ congruent? If yes, write the corresponding parts.

Problem 8:

Triangle $A BC$ is congruent to triangle $X Y Z$ by SSS.

If $A B = 4$ cm, $BC = 5$ cm, and $A C = 3$ cm, find the corresponding sides of triangle $X Y Z$ .

Problem 9:

In triangle $L MN$ , $MN = 6$ cm, $∠ L = 4 5^{\circ}$ , and $L N = 6$ cm.

Determine the measures of $∠ M$ and $∠ N$ .

Problem 10:

Given two triangles $PQR$ and $X Y Z$ such that $PQ = X Y$ , $QR = Y Z$ , and $PR = XZ$ .

Are triangles $PQR$ and $X Y Z$ congruent? If yes, write the corresponding parts.

Answers:

Yes, corresponding parts: $A B = D E$ , $BC = EF$ , $∠ A BC = ∠ D EF$ .
Yes, corresponding parts: $RS = PQ$ , $∠ PQR = ∠ RSQ$ , $PR = RS$ .
$MN = XZ = 8$ cm.
Yes, corresponding parts: $J K = MO$ , $∠ K J L = ∠ MON$ , $∠ J L K = ∠ MNO$ .
$∠ B = ∠ C = 6 0^{\circ}$ .
$Q U = P U = 6$ cm.
Yes, corresponding parts: $D E = MN$ , $∠ D = ∠ M$ , $∠ E = ∠ N$ .
Corresponding sides of $X Y Z$ : $X Y = 3$ cm, $Y Z = 4$ cm, $XZ = 5$ cm.
$∠ M = 9 0^{\circ}$ , $∠ N = 4 5^{\circ}$ .
Yes, corresponding parts: $PQ = X Y$ , $QR = Y Z$ , $PR = XZ$ .[/expand]

Chapter 8: Comparing Quantities[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: Comparing Quantities

Name: _______________________ Class: VII Date: ______________

Instructions: Answer the following questions. Show all your workings.

1. Understanding Percentages:

a) Convert the following fractions into percentages:

i) $4 3$

ii) $8 5$

iii) $5 2$

b) Express each of the following percentages as fractions in their simplest form:

i) 25%

ii) 50%

iii) 75%

2. Comparing Quantities:

a) A pair of shoes originally priced at $80 is on sale for 30% off. Calculate the discounted price.

b) A book is sold at $120, incurring a loss of 15%. Determine the cost price of the book.

c) The original price of a watch is $200. If it is sold for $250, find the percentage profit.

3. Real-life Scenarios:

a) A shirt originally priced at $35 is now marked up by 20%. Find the new selling price.

b) You buy a backpack for $50 and sell it to a friend for $70. Determine the percentage profit.

4. Word Problems:

a) The price of a computer is reduced from $800 to $640. Calculate the percentage discount.

b) If a shopkeeper marks up the cost price of a toy by 25% and sells it for $50, find the cost price.

5. Application of Percentages:

a) If a bike is sold at a 12% profit and the selling price is $880, find the cost price.

b) During a sale, the price of a smartphone is reduced by 18%. If the original price is $600, find the discounted price.

6. Problem Solving:

a) A pair of jeans is bought for $45 and sold for $60. Determine the percentage profit.

b) If the marked price of a shirt is $50 and it is sold for $40, find the percentage discount.

7. Reflection:

What real-life situations can you think of where understanding percentages and comparing quantities is essential? Provide at least two examples.

Answer Key:

1. Understanding Percentages:

a) i) 75%, ii) 62.5%, iii) 40%

b) i) $4 1$ , ii) $2 1$ , iii) $4 3$

2. Comparing Quantities:

a) $56

b) $141.18

c) 25%

3. Real-life Scenarios:

a) $42

b) 40%

4. Word Problems:

a) 20%

b) $40

5. Application of Percentages:

a) $784

b) $492

6. Problem Solving:

a) 33.33%

b) 20%

7. Reflection:

Answers may vary; consider scenarios like shopping, financial planning, or understanding discounts and sales.

Feel free to adapt the worksheet as needed for your students. Ensure that the questions align with the learning objectives and content covered in your classroom.[/expand]

Chapter 9: Rational Numbers[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Worksheet: Rational Numbers

Name: ___________________________________ Class: 7 Date: ______________

Section A: Multiple Choice Questions (1 mark each)

What is the definition of a rational number? a. Any whole number b. A number that can be expressed as a fraction c. An irrational number d. A decimal number
Which of the following is a rational number? a. $2$ b. $4 5$ c. $- 2 3$ d. $π$
Arrange the following rational numbers in ascending order: $5 3$ , $- 3 1$ , $7 4$ . a. $- 3 1$ , $5 3$ , $7 4$ b. $5 3$ , $7 4$ , $- 3 1$ c. $7 4$ , $5 3$ , $- 3 1$ d. $- 3 1$ , $7 4$ , $5 3$

Section B: Fill in the Blanks (1 mark each)

$3 2 + 3 1 =$
$8 5 - 8 2 =$
$4 3 \times 5 2 =$
$9 8 \div 9 4 =$

Section C: True/False (1 mark each)

$7 2$ is an irrational number. (True/False)
Adding a rational number to an irrational number always results in an irrational number. (True/False)
If $a$ is a positive rational number, then $- a$ is also a rational number. (True/False)

Section D: Word Problems (2 marks each)

A rectangle has a length of $6 5$ meters and a width of $3 2$ meters. Find its area.
The sum of two rational numbers is $8 7$ and one of the numbers is $8 3$ . What is the other number?

Section E: Application-Based (3 marks each)

A recipe calls for $4 3$ cup of sugar, but you only want to make a third of the recipe. How much sugar do you need?
Raj has $6 5$ of a pizza, and he gives $3 2$ of his part to his friend. What fraction of the whole pizza did his friend receive?

Instructions:

Answer all questions.
Write the answers in the space provided.
Show all necessary steps in your solutions.
Do not use a calculator unless specified.

This is just a sample worksheet. You can adjust the difficulty and format based on your preferences and the specific requirements of your students and the CBSE curriculum.[/expand]

Chapter 10: Practical Geometry[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics – Chapter 10: Practical Geometry

Worksheet

Name: ______________________ Class: ____ Roll No: ____ Date: ____

Section A: Multiple Choice Questions (1 mark each)

What is the primary purpose of practical geometry? a. To study theoretical concepts b. To apply geometric principles in real-life situations c. To explore abstract shapes d. To solve algebraic equations
Which of the following is a geometric construction using a compass and straightedge? a. Adding two numbers b. Drawing a circle c. Multiplying fractions d. Solving an equation
In a right-angled triangle, the side opposite the right angle is called: a. Hypotenuse b. Base c. Perpendicular d. Adjacent
What tool is commonly used to measure angles in geometry? a. Ruler b. Compass c. Protractor d. Set square

Section B: Fill in the blanks (1 mark each)

The ____________ bisector of a line segment divides it into two equal parts.
A polygon with six sides is called a ____________.
The process of creating a shape using only a compass and straightedge is called ____________.
In a triangle, the sum of all interior angles is always ____________ degrees.

Section C: Short Answer Questions (2 marks each)

Explain the concept of perpendicular bisector with an example.
If the measure of one angle in a triangle is 45 degrees, and the other two angles are equal, find the measure of each of the equal angles.
Describe a real-life scenario where practical geometry is used, and how it is applied.

Section D: Long Answer Questions (3 marks each)

Using a compass and straightedge, construct an equilateral triangle with sides of 4 cm each. Clearly, show all the steps.
A rectangular garden has a length of 8 meters and a width of 6 meters. Find the area of the garden and also the length of the diagonal.

Note: Attempt all questions. Write your answers in the space provided.

Feel free to modify this worksheet based on the specific content covered in your class and the format preferred by your school or educational institution.[/expand]

Chapter 11: Perimeter and Area[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics Worksheet

Chapter: Perimeter and Area

Name: ______________ Roll No: Date:

Instructions:

Read each question carefully.
Show all your workings.
Write the units with your answers.
Answer all questions.

Section A: Perimeter

1. Calculate the perimeter of the following shapes:

a) A rectangle with length 8 cm and width 5 cm.
Answer: _______________

b) A square with each side measuring 12 m.
Answer: _______________

c) An equilateral triangle with each side of length 6 cm.
Answer: _______________

2. Determine the missing side length to make the perimeter of the rectangle 30 cm:

a) Length = 10 cm, Width = __________ cm
Answer: _______________

b) Length = __________ cm, Width = 8 cm
Answer: _______________

Section B: Area

3. Calculate the area of the following shapes:

a) A square garden with each side measuring 15 m.
Answer: _______________

b) A rectangular field with length 20 cm and width 8 cm.
Answer: _______________

4. Determine the missing side length to make the area of the rectangle 72 cm²:

a) Length = 9 cm, Width = __________ cm
Answer: _______________

b) Length = __________ cm, Width = 12 cm
Answer: _______________

Section C: Word Problems

5. Solve the following word problems:

a) The perimeter of a rectangular garden is 36 meters. If the length is 10 meters, find the width.
Answer: _______________

b) A square tile has a perimeter of 20 cm. Find the area of the tile.
Answer: _______________

c) The length of a rectangle is 14 cm, and the area is 84 cm². Find the width.
Answer: _______________

Section D: Application

6. Imagine you have a rectangular room with a length of 8 meters and a width of 6 meters. Calculate both the perimeter and area of the room.

a) Perimeter: _______________
b) Area: _______________

Evaluation:

7. Answer the following questions:

a) What is the difference between perimeter and area?
Answer: _______________

b) Provide an example of a real-life scenario where knowing the perimeter is important.
Answer: _______________

End of Worksheet

Feel free to adapt the questions based on the specific emphasis of your lessons and the needs of your students.[/expand]

Chapter 12: Algebraic Expressions[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics Worksheet

Chapter 12: Algebraic Expressions

Name: __________________________________ Date: ______________

Section A: Understanding Basics

1. Define the following terms: a) Variable: ____________________________ b) Constant: ____________________________ c) Coefficient: __________________________

2. Identify the variables, constants, and coefficients in the following expressions: a) $3 x + 7$
b) $2 y - 5$ c) $4 z + 2 y - 9$

Section B: Simplifying Expressions

3. Simplify the following expressions by combining like terms: a) $2 x + 5 - 3 x + 7$ b) $4 y - 2 y + 8 - 3$ c) $5 z + 2 - z - 6$

Section C: Evaluating Expressions

4. Evaluate the following expressions for the given values: a) $3 a - 2$ , when $a = 4$ b) $2 b + 5$ , when $b = 7$ c) $c^{2} - 3$ , when $c = 2$

Section D: Translating Word Problems

5. Translate the following word problems into algebraic expressions: a) Five times a number decreased by three. b) The sum of twice a number and six. c) Eight less than a number squared.

Section E: Application of Expressions

6. Solve the following real-life problems using algebraic expressions: a) If a number is increased by 10, and the result is multiplied by 4, the answer is 52. Find the number. b) The perimeter of a rectangle is $2 x + 10$ , and its length is $x + 2$ . Find the width of the rectangle.

Note: The above worksheet is for illustrative purposes only. Teachers should adapt and modify it based on the specific requirements of their class and curriculum.[/expand]

Chapter 13: Exponents and Power[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics – Worksheet

Chapter: Exponents and Power

Instructions:

Solve the following problems using the laws of exponents.
Show all the steps and write your answers in the provided space.
Check your answers for correctness.

1. Evaluate the following expressions:

a. $2^{4}$

b. $5^{2} \times 5^{3}$

c. $3^{5} \div 3^{2}$

2. Simplify the expressions:

a. $4^{3} \times 4^{2}$

b. $6^{4} \div 6^{2}$

c. $2^{6} \times 2^{-3}$

3. Apply the laws of exponents to solve:

a. $3^{4} \times 3^{x} = 3^{7}$ . Find the value of $x$ .

b. $5^{8} \div 5^{y} = 5^{4}$ . Find the value of $y$ .

c. $2^{m} \times 2^{5} = 2^{10}$ . Find the value of $m$ .

4. Fill in the blanks:

a. $73=7×7×______$

b. $104=10×10×10×______$

c. $92=______×______$

5. Word Problems:

a. If a bacteria colony doubles every hour and there are 5 hours, express the growth using exponents. What is the total number of bacteria after 5 hours?

b. A tree grows 15% taller each year. If the current height is 200 cm, express the height after $n$ years using exponents.

Answers:

a. _______

b. _______

c. _______

a. _______

b. _______

c. _______

a. $�=_______$

b. $�=_______$

c. $�=_______$

a. _______

b. _______

c. _______

a. Total bacteria after 5 hours: _______

b. Height after $n$ years: $200 \times (1.15)^{n}$

Feel free to modify the worksheet based on the specific topics you covered in class and the difficulty level you want to achieve.[/expand]

Chapter 14: Symmetry[expand title=”Read More➔” swaptitle=”🠔Read Less”]

Class 7 Mathematics – Chapter 14: Symmetry

Name: ________________ Roll No: Date:

Instructions:

Read each question carefully before attempting.
All answers must be written in the space provided.
Show all your workings.

Section A: Multiple Choice Questions (1 mark each)

What is symmetry? a) A geometric shape with straight sides b) A figure that can be divided into two equal parts c) A shape with a circular outline d) A shape with acute angles

Answer: __________

How many lines of symmetry does the letter ‘X’ have? a) 0 b) 1 c) 2 d) 3

Answer: __________

Which of the following figures has rotational symmetry? a) Square b) Rectangle c) Triangle d) Circle

Answer: __________

Section B: True/False Questions (1 mark each)

The letter ‘H’ has vertical symmetry.
- True / False

Answer: __________

A circle has only one line of symmetry.
- True / False

Answer: __________

Rotational symmetry is the ability of a figure to be rotated to match itself.
- True / False

Answer: __________

Section C: Short Answer Questions (2 marks each)

Identify and draw two different shapes that have at least one line of symmetry.

Answer: __________

Explain the difference between line symmetry and rotational symmetry.

Answer: __________

Section D: Application Questions (3 marks each)

Problem Solving: The logo of a company is a symmetrical figure. Explain why symmetry might be important in a company’s logo design.

Answer: __________

Real-life Symmetry: Look around your classroom. Identify and describe at least three objects that exhibit symmetry. Explain how symmetry enhances the appearance or function of these objects.

Answer: __________

Section E: Long Answer/Problem Solving (5 marks each)

Constructive Symmetry: Using a ruler and a compass, draw a rectangle that has exactly two lines of symmetry.

Answer: __________

Creative Symmetry: Create your own symmetrical design. It could be a pattern, a logo, or any artistic representation. Ensure that it has both line and rotational symmetry.

Answer: __________

End of Worksheet

Note: This is a generic template, and you may want to customize it further based on the specific topics covered and the depth of understanding expected from students according to your curriculum.[/expand]

Chapter 15: Visualising Solid Shapes[expand title=”Read More➔” swaptitle=”🠔Read Less”]