Extra Curriculum Support
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 solution of the equation 3x + 4 = 25 is
(a) 7 (b) 8 (c) 9 (d) 6
2. The integer -2 - (-5) can also be written as
(a) -2 + (-5) (b) -2 + 5 (c) 2 – 5 (d) 2 + 5
3. Five added to a one third of a number gives twice the number, then the number is
(a) 3 (b) 4 (c) 5 (d) 6
Sec B
1. Write the following equations in statement form:
(a) 6n + 4 = 10
(b)
2. If
Sec C
1. Raju’s father’s age is 5 years more than three times Raju’s age. Raju’s father is 44 years old. Set up an equation to find Raju’s age.
Sec D
1. Find a number, such that one-fourth of the number is 3 more than 7.
Problem 1
Nisha and her friends organized a charity event where they collected a total of ₹1,200 to support a local cause. Nisha contributed twice the amount her friend Sita contributed. If Sita's contribution is represented by x, how much did Nisha contribute, and how can organizing such events foster a sense of community and social responsibility?
Problem 2
A school is planning to buy books for its library. The cost of each book is ₹150, and they want to purchase a total of 40 books. If the school had already spent ₹4,000, how much more money is needed to buy all the books? Why is it important for institutions to budget and plan expenses carefully?
Problem 3
Ravi's family saved a total of ₹5,000 for a vacation. If they spent 30% of the total amount on travel expenses and the remaining amount was divided equally between lodging and food, how much did they spend on lodging? Discuss the importance of budgeting for vacations and the benefits of planning expenses in advance.
Q1
A shopkeeper marks the price of an article 40% above its cost price. He then offers a discount of 20% on the marked price. What is the overall percentage profit or loss that the shopkeeper makes?
Q2
Ramesh bought a bicycle for Rs. 2,400. He sold it to his friend Suresh at a profit of 10%. Suresh then sold it to another friend, Mukesh, at a loss of 5%. What was the final price paid by Mukesh for the bicycle?
Q3
Simran invested Rs. 5,000 in a bank at an annual interest rate of 8% compounded annually. After 2 years, she withdraws the amount. How much money does she receive from the bank? (Calculate the compound interest first).
Q4
In a class, the ratio of the number of boys to the number of girls is 3:2. If there are 10 more boys than girls, find the total number of students in the class.
Questions
1. Which equation has the unique solution from the rest ?
(a) x + 1 = 0 (b) x – 1 = 2 (c) 2y + 3 =1 (d) 2p + 7 = 5
2. Any value of the variable which makes both sides of an equation equal, is known as a ? of the equation.
3.
4. One fourth of a number is 20 less than the number itself.
5. On subtracting 13 from 3 times of a number, the result is 8.
6. Two times a number increased by 5 equals 9.
7. 1 subtracted from one third of a number gives 1. Find the number.
8. Which of the following is not allowed in a given equation?
(a) Adding the same number to both sides of the equation.
(b) Subtracting the same number from both sides of the equation.
(c) Multiplying both sides of the equation by the same non-zero number.
(d) Dividing both sides of the equation by the same number.
9. The solution of which of the following equations is neither a fraction nor an integer?
(a) 2x + 6 = 0 (b) 3x – 5 = 0 (c) 5x – 8 = x + 4 (d) 4x + 7 = x + 2
10. If k + 7 = 16, then the value of 8k – 72 is.
(a) 0 (b) 1 (c) 112 (d) 56
11. The equation having – 3 as a solution is.
(a) x + 3 =1 (b) 8 + 2x = 3 (c) 10 + 3x = 1 (d) 2x + 1 = 3
12. Which of the following numbers satisfy the equation –6 + x = –12 ?
(a) 2 (b) 6 (c) – 6 (d) – 2
13. Shifting one term from one side of an equation to another side with a change of sign is known as.
(a) commutativity (b) transposition (c) distributivity (d) associativity
14. Sum of two numbers is 81. One is twice the other.
(a) If smaller number is x, the other number is ?.
(b) The equation formed is ?.
(c) The solution of the equation is ?.
(d) The numbers are ? and ?.
15. In natural numbers, 4x + 5 = – 7 has ? solution.
16. In natural numbers, x – 5 = – 5 has ? solution.
17. 5 is the solution of the equation 3x + 2 = 17.
18.
19. Mohan is 3 years older than Sohan. The sum of their ages is 43 years.
20. The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.
21. Subramaniam and Naidu donate some money in a Relief Fund. The amount paid by Naidu is ₹ 125 more than that of Subramaniam. If the total money paid by them is ₹ 975, find the amount of money donated by Subramaniam.
22. In a school, the number of girls is 50 more than the number of boys.The total number of students is 1070. Find the number of girls.
23. If 45 is added to half a number, the result is triple the number. Find the number.
24. Anamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number she had thought of ?
25. Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.
26. Twice a number added to half of itself equals 24. Find the number.
27. In a certain examination, a total of 3768 students secured first division in the years 2006 and 2007. The number of first division in 2007 exceeded those in 2006 by 34. How many students got first division in 2006?
Q1
Ritu is 4 years older than twice the age of her brother Rohan. If the sum of their ages is 28 years, find their ages.
Question: Based on the given information, form an equation and solve it to find the ages of Ritu and Rohan.
Q2
Three friends, A, B, and C, decided to share the cost of a gift equally. The total cost of the gift is Rs. 1,200. Friend A contributed Rs. 100 more than B, and C contributed Rs. 50 more than B.
Question: Write an equation based on the given scenario and calculate how much each friend contributed.
Q3
A father distributed Rs. 5,000 among his three children in such a way that the eldest child got twice the amount of the youngest, and the middle child got Rs. 500 more than the youngest.
Question: Set up an equation based on the given conditions and find out how much money each child received.