Enhanced Curriculum Support

Sec A

1. Compare 34 and 58. Which is greater?

2. Add 712 and 518. Simplify the answer.

3. Subtract 910 from 75.

4. Find the reciprocal of 47 and check if it is greater than 35.

5. A ribbon is 56m long. How much length remains if 23m is used?

6. Express 358 as an improper fraction.

7. Convert 4.5 kilometers to meters.

8. Write 7.08 in words.

9. Compare 3.4 and 3.40 using the greater than (>) or less than (<) symbol.

10. Express 250 paise in rupees using decimals.

11. Round off 8.256 to the nearest hundredth.

12. Multiply: 1.4 × 2.3.

13. Write 3.007 in expanded form.

14. Round 7.856 to two decimal places.

Sec B

1.Subtract from 234 512. Express your answer as a mixed fraction.

2. Simplify: 710 + 315 x 56.

3. A rope of length 815 m is cut into two pieces such that one piece is 25m long. Find the length of the other piece.

4. If 49 of a tank is filled in 6 minutes, how much of the tank will be filled in 9 minutes?

5. A recipe requires 34 cup of sugar for one serving. How much sugar is needed for 223servings?

6. Add 3.75 and 4.63.

7. Subtract 5.87 from 10.25.

8. A piece of cloth is 2.45 meters long. If another piece is 1.35 meters long, find the total length of both pieces.

9. Convert 3.075 kilograms to grams.

10. Find the value of 4.5 × 3.

11. Multiply 4.52 × 3.2 and round off the answer to two decimal places.

12. Divide 123.45 by 5 and express the quotient up to three decimal places.

13. Convert 5.625 into a fraction and simplify.

Sec C

1.A farmer owns 78 of an acre of land. He sells 512 of it. What fraction of the land remains unsold?

2. Raj has 35 of a bag of flour. He used 14 of it for making bread and 13 of it for making cookies. How much flour is left?

3. If 79 of a work is completed in 14 hours, how much time will it take to complete the remaining work?

4. A tank is 38 full of water. Another 25 of the tank's capacity is added. What fraction of the tank is now full?

5. A plank of wood is 234m long. If it is divided into 5 equal parts, find the length of each part.

6. 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.

7. 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.

8. Convert the following into decimals and then add them: 310, 4100, and 71000.

9. 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?

10. Divide ₹68.25 equally among 5 friends. How much will each friend get?

11. A rope is 18.5 meters long. It is cut into 5 equal pieces. What is the length of each piece in meters?

12. Divide 256.8 by 12 and express the answer up to two decimal places.

13. Multiply 8.25 by 1.4 and divide the result by 2.5.

14. A rectangular plot measures 25.5 m by 18.4 m. Find its area.

Sec D

1. Ram and Shyam shared a pizza. Ram ate 58 of it, and Shyam ate 35. How much pizza did they eat in total? Who ate more and by how much?

2. If a bus covers 34 of its total route in 6 hours, how much time will it take to cover the remaining route?

3. A cylindrical tank is 47 full of water. After using 13 of the total capacity, how much water remains in the tank?

4. A car tank can hold 45 of its fuel capacity. If the capacity is 50 liters, how much fuel is in the tank? How much more is needed to fill the tank?

5. 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?

6. Calculate the following:

(a) Add 5.5, 3.75, and 4.85.

(b) Subtract 6.43 from the sum obtained above.

7. 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.

8. 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?

9. 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.

10. Solve the following:

(a) Multiply 7.25 by 4.

(b) Divide the product obtained by 2.

(c) Add 3.5 to the result.

11. Divide 1024.75 by 25 and express the result up to four decimal places.

12. 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

Meera baked a cake and cut it into 12 equal slices. She gave 14 of the cake to a poor child in her neighborhood.

1. How many slices did Meera give away?

2. What value does her action reflect?

Problem 2

During a festival, a farmer donated 35of his harvest to a food bank and kept the rest for his family.

1. What fraction of the harvest did he keep for his family?

2. What values does the farmer demonstrate?

Problem 3

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 4

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

A box contains 20 chocolates. Shruti takes 34 of the chocolates and shares half of them with her friends.

1. How many chocolates does Shruti share with her friends?

2. If she decides to distribute an equal number of chocolates to 5 friends, how many chocolates will each friend get?

Q2

A community center organized a food drive where volunteers collected 25 of the required food on the first day and 310 on the second day.

1. What fraction of the food is still to be collected?

2. What values do the volunteers’ efforts promote?

Q3

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.

Q4

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. Simplify 812.

2. Write 34 and 56 in the lowest terms.

3. Convert 254 into a mixed fraction.

4. Convert 235 into an improper fraction.

5. Compare 710 and 58 using <,>,=.

6. Find the value of 23 + 14.

7. Subtract 512 from 79.

8. Multiply 37 and 25.

9. Divide 710 by 35.

10. Finf the reciprocal of 49.

11. Arrange 58,712,916 in ascending order.

12. Solve 323 + 256 - 112.

13. A rectangular garden has a length of 113meters and a width of 52meters. Find its area.

14. A bag contains 25kg of sugar. How much sugar will 6 such bags contain?

15. Raju bought 78liters of milk. He used 512 liters to make curd. How much milk is left?

16. A school collected 34 of its total goal of 240 kg of paper for recycling on the first day. How much paper is left to collect?

17. A water tank is filled up to 35 of its capacity, which is 400 liters. After using 14of the water, how much water remains?

18. Convert 5.2 kilometers to meters.

19. Write 0.006 in fractions.

20. Compare: 2.5 and 2.50 using the greater than (>), less than (<), or equal to (=) sign.

21. Round off 6.287 to the nearest tenth.

22. Find the value of 3.4 + 2.8.

23. 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?

24. A tank has 10.5 liters of water. If 4.75 liters are used, how much water is left in the tank?

25. 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?

26. Convert 2.4 liters into milliliters.

27. A pencil costs ₹12.75, and an eraser costs ₹5.50. What is the total cost of buying 3 pencils and 2 erasers?

28. A farmer has 15.75 hectares of land. He plans to plant crops in 8.25 hectares. How much land will remain unplanted?

29. 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?

30. 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?

31. 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.

32. 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?

33. 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

A class of 30 students participated in a quiz competition. Out of the total, 25 of the students answered the first question correctly, 310 of the students answered the second question correctly, and 16 of the students answered both questions correctly.

Questions:

1. How many students answered only the first question correctly?

2. How many students answered only the second question correctly?

Sol 1

Solution :

1. Students who answered the first question correctly: 25 × 30 = 12.

Students who answered both questions correctly: 16 × 30 = 5.

Students who answered only the first question correctly: 12 - 5 = 7.

2. Students who answered the second question correctly:310 × 30 = 9.

Students who answered both questions correctly: 5.

Students who answered only the second question correctly: 9 − 5 = 4.

Q2

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 2

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

Q3

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 3

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