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.Convert 4.5 kilometers to meters.
2. Write 7.08 in words.
3. Compare 3.4 and 3.40 using the greater than (>) or less than (<) symbol.
4. Express 250 paise in rupees using decimals.
5. Round off 8.256 to the nearest hundredth.
6. Multiply: 1.4 × 2.3.
7. Write 3.007 in expanded form.
8. Round 7.856 to two decimal places.
Sec B
1. Add 3.75 and 4.63.
2. Subtract 5.87 from 10.25.
3. A piece of cloth is 2.45 meters long. If another piece is 1.35 meters long, find the total length of both pieces.
4. Convert 3.075 kilograms to grams.
5. Find the value of 4.5 × 3.
6. Multiply 4.52 × 3.2 and round off the answer to two decimal places.
7. Divide 123.45 by 5 and express the quotient up to three decimal places.
8. Convert 5.625 into a fraction and simplify.
Sec C
1. Riya bought 1.25 kg of apples and 2.75 kg of oranges. If each kilogram costs ₹50, calculate the total cost of the fruits she bought.
2. A container holds 4.75 liters of water. After pouring out 2.15 liters, how much water remains in the container? Express your answer in liters and milliliters.
3. Convert the following into decimals and then add them:
4. Rohan traveled 12.35 km by car, 5.9 km by bike, and walked 0.85 km. How much distance did he cover in total?
5. Divide ₹68.25 equally among 5 friends. How much will each friend get?
6. A rope is 18.5 meters long. It is cut into 5 equal pieces. What is the length of each piece in meters?
7. Divide 256.8 by 12 and express the answer up to two decimal places.
8. Multiply 8.25 by 1.4 and divide the result by 2.5.
9. A rectangular plot measures 25.5 m by 18.4 m. Find its area.
Sec D
1. A milk vendor has 10.25 liters of milk. He sells 3.5 liters in the morning, 2.75 liters in the afternoon, and 1.5 liters in the evening. How much milk is left with him at the end of the day?
2. Calculate the following:
(a) Add 5.5, 3.75, and 4.85.
(b) Subtract 6.43 from the sum obtained above.
3. A rectangular plot of land has a length of 12.5 meters and a width of 8.75 meters. Find the area of the plot in square meters. Then, convert the area into square centimeters.
4. A tank contains 45.75 liters of water. 12.5 liters is used up in the morning and 9.85 liters in the evening. How much water remains in the tank? If the tank’s full capacity is 60 liters, how much more water is needed to fill it completely?
5. An athlete runs 3 laps around a circular track. Each lap is 2.85 kilometers. Find the total distance covered in kilometers. Then, convert this distance to meters.
6. Solve the following:
(a) Multiply 7.25 by 4.
(b) Divide the product obtained by 2.
(c) Add 3.5 to the result.
7. Divide 1024.75 by 25 and express the result up to four decimal places.
8. A tank is filled with 153.65 liters of oil. If it is drained at a rate of 12.3 liters per hour, how long will it take to empty the tank?
9. A rope of length 45.75 m is cut into 15 equal parts. Find the length of each part.
Problem 1
1.A family plans to buy groceries for a month. They decide to purchase 5.75 kg of rice, 2.5 kg of pulses, and 3.25 kg of vegetables. They aim to reduce food wastage and only buy what they need.
(a) Calculate the total weight of groceries they plan to buy.
(b) Discuss how buying only necessary items can help reduce food wastage and save money.
Problem 2
2.Ravi and his friends are collecting donations to help plant trees in their community. Ravi contributes ₹75.50, and each of his friends contributes ₹45.75. If 4 of his friends contribute, calculate the total amount collected.
(a) What is the total donation collected?
(b) Explain how small contributions from each person can make a big impact when combined for a cause like environmental conservation.
Q1
1.In a swimming pool, each swimmer is assigned a lane that is exactly 25.5 meters long. A swimmer completes 8 laps in the pool. Calculate the total distance covered by the swimmer in kilometers.
Hint: Convert the distance to kilometers at the end and think about decimal conversions.
Q2
2.A baker uses 0.35 kg of flour to make one loaf of bread. He has 5.6 kg of flour and wants to use all of it without any wastage.
(a) How many full loaves of bread can he make?
(b) Explain how the baker can make the best use of the remaining flour after making the full loaves.
Questions
1. Convert 5.2 kilometers to meters.
2. Write 0.006 in fractions.
3. Compare: 2.5 and 2.50 using the greater than (>), less than (<), or equal to (=) sign.
4. Round off 6.287 to the nearest tenth.
5. Find the value of 3.4 + 2.8.
6. A bag contains 3.5 kg of apples and 2.75 kg of oranges. What is the total weight of the fruits in the bag?
7. A tank has 10.5 liters of water. If 4.75 liters are used, how much water is left in the tank?
8. If a car travels 15.75 km in the first hour and 18.25 km in the second hour, what is the total distance traveled by the car in both hours?
9. Convert 2.4 liters into milliliters.
10. A pencil costs ₹12.75, and an eraser costs ₹5.50. What is the total cost of buying 3 pencils and 2 erasers?
11. A farmer has 15.75 hectares of land. He plans to plant crops in 8.25 hectares. How much land will remain unplanted?
12. A cyclist travels 12.4 km in the morning and 15.6 km in the evening. Calculate the total distance traveled. If he wants to travel a total of 50 km, how much more distance does he need to cover?
13. A rectangular garden is 10.5 meters long and 6.3 meters wide. Calculate the area of the garden in square meters. If the gardener wants to cover the entire area with grass, how many square meters of grass will he need?
14. A recipe requires 0.75 liters of milk for one batch of cookies. If a baker wants to make 6 batches, how much milk does he need in liters? Convert this amount into milliliters.
15. An engineer needs to measure the lengths of three different pipes: 5.25 m, 3.75 m, and 4.5 m. Calculate the total length of the pipes. If one of the pipes is cut into 4 equal pieces, what will be the length of each piece?
16. A student scored 85.5 out of 100 in Mathematics, 78.25 out of 100 in Science, and 92.5 out of 100 in English. What is the average score of the student across these three subjects?
Q1
Case:
Ravi is buying supplies for a science project. He needs:
1 poster board for ₹20.75
2 markers for ₹15.50 each
1 bottle of glue for ₹8.30
Questions:
1. How much does Ravi spend in total?
2. If he has ₹150, how much money will he have left?
Sol 1
Solution:
1. Total Cost Calculation:
Cost of poster board: ₹20.75
Cost of markers: 2 × 15.50 = ₹ 31.00
Cost of glue: ₹8.30
Total Cost = 20.75 + 31.00 + 8.30 = ₹ 60.05
2. Money Left:
Money Left = 150 − 60.05 = ₹89.95
Q2
2.Case:
A farmer's field measures 25.4 meters in length and 10.2 meters in width. He plans to leave a 1.5-meter path all around the field.
Questions:
What is the area of the field?
How much area will be available for planting after leaving the path?
Sol 2
Solution:
1. Total Area Calculation:
Area = Length × Width = 25.4 × 10.2 = 259.08 square meters
New Dimensions for Planting:
New Length: 25.4 − 3 = 22.4 meters
New Width: 10.2 − 3 = 7.2 meters
2. Area for Planting:
Area for Planting = 22.4 × 7.2 = 161.28 square meters