Class 6 Exam > Class 6 Notes > Mathematics Class 6 ICSE > Worksheet: Fundamental Concept of Algebra
Worksheet: Fundamental Concept of Algebra | Mathematics Class 6 ICSE PDF Download
A. Multiple Choice Questions (MCQs)
Q1. Which of the following is a variable?
(a) 7
(b) −5
(c) x
(d) 10
Q2. Which expression is a binomial?
(a) 4x
(b) x + 7
(c) 2a² + b² − 5
(d) 12
Q3. The degree of the polynomial 2x³ + 7x − 5 is:
(a) 1
(b) 2
(c) 3
(d) 0
Q4. Which of the following are like terms?
(a) 3xy and 5ab
(b) 4x² and 7x²
(c) x² and xy
(d) 2a and 3b
Q5. In the term −6ab², what is the numerical coefficient?
(a) −6
(b) a
(c) b²
(d) ab²
B. Short Answer Questions
Q6. Write the perimeter of a square with side l using algebra.
Ans:
Q7. Write the expression for the area of a rectangle with length l and breadth b.
Q8. If n boxes each contain 24 chocolates, write an expression for the total chocolates.
Q9. Identify the like terms: 3xy, −7a, 2xy, 5b, 10a.
Q10. Classify: 9x² − 4x + 7 as monomial, binomial, or trinomial.
C) Long Answer Questions
Q11. A pattern is made using matchsticks. For n squares in a row, the number of matchsticks is given by the rule: 3n + 1.
(a) How many matchsticks are needed for 5 squares?
(b) How many matchsticks are needed for 12 squares?
Q12. Meena is 8 years younger than Ritu.
(a) If Ritu’s age is x years, write Meena’s age.
(b) If Ritu is 15 years old, what is Meena’s age?
(c) Express Ritu’s age in terms of Meena’s age y.
Q13. A cube has edge length l.
(a) Write an expression for the total length of its edges.
(b) If l = 4 cm, find the total edge length.
(c) If l = 10 cm, find the total edge length.
You can access the solutions of this worksheet here
The document Worksheet: Fundamental Concept of Algebra | Mathematics Class 6 ICSE is a part of the Class 6 Course Mathematics Class 6 ICSE.
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FAQs on Worksheet: Fundamental Concept of Algebra - Mathematics Class 6 ICSE
| 1. What are the basic operations in algebra that a Class 6 student should know? |  |
Ans. The basic operations in algebra that a Class 6 student should know include addition, subtraction, multiplication, and division. Students should also be familiar with combining like terms, using variables to represent numbers, and understanding simple algebraic expressions and equations.
| 2. How can algebra be applied in real-life situations? | |
Ans. Algebra can be applied in various real-life situations such as budgeting, where one can use algebraic expressions to calculate expenses and savings. It is also used in cooking to adjust recipes, in construction to calculate areas and volumes, and in science to solve problems involving formulas.
| 3. What is an algebraic expression, and how is it different from an equation? | |
Ans. An algebraic expression is a combination of numbers, variables, and operations (such as addition or multiplication) without an equality sign. For example, 3x + 5 is an algebraic expression. An equation, on the other hand, is a statement that two expressions are equal, such as 3x + 5 = 11.
| 4. What are the steps to solve a simple algebraic equation? | |
Ans. To solve a simple algebraic equation, follow these steps: 1) Simplify both sides of the equation if necessary by combining like terms. 2) Isolate the variable on one side of the equation by performing inverse operations (adding, subtracting, multiplying, or dividing). 3) Check the solution by substituting the variable back into the original equation.
| 5. Why is it important for students to learn algebra at an early stage? | |
Ans. Learning algebra at an early stage is important because it builds a foundation for higher-level mathematics and problem-solving skills. It helps develop logical thinking, analytical reasoning, and the ability to work with abstract concepts, which are essential in various fields such as science, technology, and engineering.
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