Enhanced Curriculum Support
This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:
1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.
2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.
3.Exam Preparedness: Sample Question Papers and NCERT Exemplar Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.
Sec A
1. The equation 4x = 16 is satisfied by the following value of x
(A) 4 (B) 2 (C) 12 (D) –12
2. The area of a square having each side x is
(A) x × x (B) 4x (C) x + x (D) 4 + x
3. x – 4 = – 2 has a solution
(A) 6 (B) 2 (C) – 6 (D) – 2
4. Write a simple algebraic expression for: "5 added to a number."
5. If x=3, evaluate x+7.
6. What is the coefficient of x in the expression 5x+3?
Sec B
1. In the equation 7k – 7 = 7, the variable is 7.
2. x = 5 is the solution of the equation 3x + 2 = 20
3. Write an equation whose solution is not a whole number.
4.If p = 3 and q = 4, find the value of 5p + 2q − 3.
5. A number is subtracted from 15, and the result is divided by 5. Write the expression.
6. If x=2 and y=3, evaluate 4x+5y−2xy.
7. Simplify: 3x + 2y − x + 4y.
8. If a=4 and b=6, evaluate
Sec C
1. Price of petrol was Rs p per litre last month. Price of petrol now is Rs (p – 5) per litre.
2. Leela contributed Rs y towards the Prime Minister’s Relief Fund.Leela is now left with Rs (y + 10000).
3. A triangle has sides x, 2x−1, and x+3. Write the expression for its perimeter and simplify.
4. Write a general expression for the area of a rectangle in terms of its length l and breadth b, and calculate it when l=10 and b=5.
5. Simplify: 5a + 3b − 4a + 6 − 2b.
6. Expand and simplify: 4(2x+3) − 3(x+5).
Sec D
1. he length of a rectangle is 2x+5 and its breadth is x+3. Write and simplify the expression for its area. Evaluate it when x=4.
2. square has a side length of 3x+2. Write the expression for its perimeter and area, and evaluate them when x=1.
3. Expand and simplify: 3(2x−4)+2(x+5)−(4x−7).
4. A rectangle’s length is three times its breadth. If the breadth is x+4, write expressions for the length, perimeter, and area. Simplify them.
5. If the cost of x bananas is ₹2x+5, write an expression for the cost of y bananas. Find the total cost for x=10 and y=15.
Problem 1
1. A school organizes a tree plantation drive, and each student is asked to plant 3 trees. If there are s students in the school, write an algebraic expression to represent the total number of trees planted.
Value: Promotes environmental awareness and social responsibility.
Example: If there are 50 students, how many trees will be planted in total?
Problem 2
2.A community center distributes 5 food packets to each needy family. If there are f families in the community, form an algebraic expression to find the total number of food packets distributed.
Value: Highlights social welfare and helping those in need.
Example: If 60 families receive the food packets, how many packets are distributed in total?
Q1
1. In a marching parade, each row contains 7 cadets. If there are n rows, write an algebraic expression to represent the total number of cadets. How many cadets are there if there are 12 rows?
Q2
2. A teacher distributes 4 chocolates per student. Write an algebraic expression to represent the total number of chocolates required for s students. If there are 25 students, how many chocolates are required?
Q3
3. A vehicle covers 20 kilometers every hour. Write an expression for the total distance covered by the vehicle in t hours. If the vehicle travels for 15 hours, what is the total distance covered?
Questions
1. 4a equals
(A) 4 + a (B) 4 × a
(C) a × a × a × a (D) 4 ÷ a
2. 8 more than three times the number x can be represented as
(A) 8 + x + 3 (B) 3 x – 8 (C) 3 x + 8 (D) 8 x + 3
3. 13 subtracted from thrice of a number.
4. Megha’s age (in years) is 2 more than 5 times her daughter’s age.
5. Manisha is z years old. Her uncle is 5z years old and her aunt is (5z – 4) years old.
6. In an equation, the LHS is equal to the RHS.
7. In the equation 7k – 7 = 7, the variable is 7.
8. The difference between the ages of two sisters Leela and Yamini is a variable.
9. The number of lines that can be drawn through a point is a variable.
10. z is multiplied by –3 and the result is subtracted from 13.
11. p is divided by 11 and the result is added to 10.
12. Sharad used to take p cups tea a day. After having some health problem, he takes p – 5 cups of tea a day.
13. A class with p students has planned a picnic. Rs 50 per student is collected, out of which Rs 1800 is paid in advance for transport. How much money is left with them to spend on other items?
14. On my last birthday, I weighed 40kg. If I put on m kg of weight after a year, what is my present weight?
15. A class with p students has planned a picnic. Rs 50 per student is collected, out of which Rs 1800 is paid in advance for transport. How much money is left with them to spend on other items?
16. What is the area of a square whose side is m cm?
17. Translate each of the following statements into an equation, using x as the variable:
(a) 13 subtracted from twice a number gives 3.
(b) One fifth of a number is 5 less than that number.
(c) Two-third of number is 12.
(d) 9 added to twice a number gives 13.
(e) 1 subtracted from one-third of a number gives 1.
Q1
1. Case: Suman has a rectangular garden. The length of the garden is 3 meters more than its width. She wants to fence the garden and needs to calculate the total length of the fence required. The width of the garden is represented by w meters.
Questions:
1. Write an algebraic expression for the length of the garden in terms of w.
2. Write an expression for the perimeter of the garden.
3. If the width of the garden is 5 meters, what is the total length of the fence required?
Sol 1
Solution :
1. Length of the garden = w+3 meters (since the length is 3 meters more than the width).
2. Perimeter of the garden = 2 × (Length + Width) = 2 × (w + (w + 3)) = 2 × (2w + 3).
So, the algebraic expression for the perimeter is 4w + 6 meters.
3. If w = 5 meters (width), then:
Length = 5 + 3 = 8 meters.
Perimeter = 2 × (5+8) = 2 × 13 = 26 meters
So, the total length of the fence required is 26 meters.
Q2
2.Case: Ravi is buying pens and notebooks. The cost of a pen is ₹10, and the cost of a notebook is ₹20. He buys some pens and notebooks. Let the number of pens he buys be p and the number of notebooks be n.
Questions:
1. Write an algebraic expression for the total amount Ravi spends on pens and notebooks.
2. If Ravi buys 4 pens and 3 notebooks, how much does he spend in total?
3. If Ravi has ₹150, how many notebooks can he buy if he buys 2 pens?
Sol 2
Solution:
1. Total amount spent = Cost of pens + Cost of notebooks = 10p + 20n
2. If Ravi buys 4 pens and 3 notebooks:
Total cost = 10 × 4 + 20 × 3 = 40 + 60 = 100 rupees. So, Ravi spends ₹ 100 in total.
3. If Ravi has ₹150 and buys 2 pens, the total cost of the pens is 10 × 2 = 20 rupees.
Remaining money = ₹150 - ₹20 = ₹130.
Cost of one notebook = ₹20.
Number of notebooks Ravi can buy =
Since he can't buy half a notebook, Ravi can buy 6 notebooks.