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:
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.
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.
Exam Preparedness: Sample Question Papers and Practice Questions Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
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.
SecA
1. 1. What is the smallest whole number?
2. Find the successor of 999.
3. Find the predecessor of 50.
4. Is zero a natural number?
5. Add: 0+9=?
6. Find the product: 25×0
7. What is the successor of 8674?
8. Subtract: 100−1
9. Multiply: 12×5
10. Write the smallest two-digit whole number.
SecB
1. Find the sum of the first four whole numbers.
2. What is the predecessor and successor of 5000?
3. Multiply: 25×10 and 25×100. What is the difference between the two products?
4. Verify the commutative property of addition for the numbers 23 and 45.
5. Write the next two numbers in the pattern: 1000,1001,1002.....
6. Find the value of: (30+20)+10 and 30+(20+10). Are they equal? Which property does this verify?
7. Subtract: 987−654.
8. Find the product using the distributive property: 36×105=36×(100+5)
SecC
1. Multiply using the distributive property: 125×104
2. A school ordered 15 sets of chairs. Each set has 8 chairs. How many chairs did the school order in total?
3. Rani buys 7 packets of pens, with 5 pens in each packet. What is the total number of pens Rani buys? If one pen costs ₹12, find the total cost of the pens.
4. The population of a town increased by 1250 in 2018 and by 1350 in 2019. If the population was 50,000 at the beginning of 2018, what was the population at the end of 2019?
5. Write the predecessor of:
(a) 1,000 (b) 10,000 (c) 100,000
6. Verify the distributive property of multiplication over addition for the following numbers: 4×(7+3)
7. A car travels 50 kilometers every day. How many kilometers does it travel in a week?
8. Using the number line, show that: 5+7=7+5. Which property of whole numbers does this illustrate?
9.Find the sum of the first 20 whole numbers. What property of whole numbers is used in this question?
SecD
1. Explain with examples how the associative property works for addition and multiplication in whole numbers. Show that it does not apply to subtraction or division using counter-examples.
2. Represent the following operations step by step:
a) Add 8 and 5.
b) Subtract 6 from 15.
c) Multiply 4 by 3.
d) Show the result of (10 – 4) + (3 × 2).
3. Simplify the following using the properties of addition and multiplication:
a) 135 × (25 + 5).
b) (47 + 29) + 53 – 29.
c) 68 × 102 using the distributive property.
4. Solve the following step by step:
a) (100 ÷ 4) × 6.
b) Add 750 to the result.
c) Subtract 1,250 from the sum.
5. A factory produces 245 items every day. Over 6 weeks (42 days), it plans to produce more items by adding 55 extra items daily.
a) How many total items are produced in 6 weeks without the extra items?
b) How many additional items are produced due to the daily increase?
c) What is the final total production?
Problem 1
Understanding Distance
Situation: A group of friends are marking their homes on a number line to understand the distance between them. The positions of their homes are as follows: Riya's home at 5, Amit's home at 12, and Sanya's home at 20.
Questions:
1. What is the distance between Riya's home and Amit's home on the number line?
2. What is the distance between Amit's home and Sanya's home on the number line?
3. How can understanding distances on a number line help in real-life situations, such as planning a visit to a friend’s house?
Problem 2
Number Line and Time Management
Situation: A teacher asked her students to place their study hours on a number line. Ramesh studies from 3 to 5, Priya from 6 to 9, and Neha from 4 to 7.
Questions:
1. Represent the study hours of each student on a number line.
2. How much time in total does each student spend studying?
3.Discuss the value of time management and how representing study hours on a number line can help.
Problem 3
Situation: A group of volunteers decides to clean a beach. Each volunteer can collect 2 bags of trash in a day, and there are 6 volunteers.
Questions:
1. Use a number line to determine how many bags of trash are collected in total.
2. Explain the value of environmental stewardship and how such activities benefit the community.
Q1
If the product of three consecutive whole numbers is added to the middle number, prove that the result is always divisible by 6.
Q2
The product of two numbers is 735. If one number is 35, find the other number. Explain the method you used.
Q3
A factory produces 2,345 toys in a day. How many toys are produced in 7 days?
Q4
The sum of two numbers is 320. If one number is 135, find the other number. Represent this using a bar model.
True (or) False
1. The successor of 1 million is 100000?
2. Successor of a one digit number is always a one digit number.
3. Predecessor of a two digit number is always a two digit number.
4. Every whole number has its successor.
5. The smallest 4-digit number is the successor of the largest 3-digit number.
6. 1 is the identity for multiplication of whole numbers.
7. If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero. Hint:
8. The product of two whole numbers need not be a whole number.
9. Sum of two whole numbers is always less than their product.
10. If the sum of two distinct whole numbers is odd, then their difference also must be odd.
1. The smallest whole number is ?
2. Successor of 106159 is ?
3. Predecessor of 100000 is ?
4. ? is the successor of the largest 3 digit number.
5. The smallest 6 digit whole number ending in 5 is ?
6. Whole numbers are closed under ? and under ?
7. Division of a whole number by ? is not defined.
8. Multiplication is distributive over ? as well as ? for whole numbers.
Q1
We can count the number of children in our school; we can also count the number of people in a city; we can count the number of people in India. The number of people in the whole world can also be counted. We may not be able to count the number of stars in the sky or the number of hair on our heads but if we are able, there would be a number for them also. We can then add one more to such a number and get a larger number. In that case we can even write the number of hair on two heads taken together. It is now perhaps obvious that there is no largest number. Apart from these questions shared above, there are many others that can come to our mind when we work with Whole Numbers.
(i) Write the predecessor and successor of 2023.
(ii) Is there any natural number that has no predecessor? If yes, then write that number.
(iii) How many whole numbers are there between 34 and 43?
Sol 1
Solutions:
(i) The predecessor of 2023 is 2022 and the successor of 2023 2024
(ii) Yes, there is a natural number that has no predecessor, which is 1
(iii) The whole no. between 34 and 44 are 35, 36, 37, 38, 39, 40, 41, 42 and 43
or total numbers between 34 and 44 =(largest number-smallest number)-1
= (44-34)-1=9
Q2
Reeta has represented the whole numbers 0 to 30 on the number line as shown in the figure (assume a number line is shown with numbers 0 to 30 marked clearly).
Questions:
1. What is the distance between the points 12 and 20 on the number line?
a) 6 b) 8 c) 10 d) 7
2. Which number is at the left of 15 on the number line?
a) 13 b) 16 c) 14 d) 12
3. On the number line, will 60 be to the right or left of 50?
a) Left b) Right
4. What is the number exactly in the middle between 18 and 24 on the number line?
a) 20 b) 19 c) 21 d) 22
5. If you move 5 units to the left from 27 on the number line, which number will you reach?
a) 22 b) 25 c) 23 d) 21
Sol 2
1. b
2. c
3. c
4. c
5. a