If the length of each side of a regular hexagon is x metres, then the perimeter of given hexagon is-
- A(x + 6) metres
- B(x ÷ 6) metres
- C(x – 6) metres
- ✓(6 × x) metres
Answer: D.
View full solution →Question types
PART - 1 CH : 4 Expressions using Letter Numbers question types
32 questions across 10 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
32
Questions
10
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
4 Q→02Assertion (A) & Reason (B) MCQ
1 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
5 Q→051 Marks Question
5 Q→062 Marks Questions
1 Q→075 Marks Questions
7 Q→08case /data -based (4 Marks)
1 Q→09Match the following.
1 Q→103 Marks Question
2 Q→Sample Questions
PART - 1 CH : 4 Expressions using Letter Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If each match box contains 40 matchsticks, the number of matchsticks required to fill n such boxes is-
- A40 + n
- ✓40n
- C40 ÷ n
- D40 – n
Answer: B.
View full solution →11 more than three times the number x can be represented as
- A11 + x + 3
- B11x – 3
- ✓3x + 11
- D11x + 3
Answer: C.
View full solution →6a equals
- A6 + a
- ✓6 × a
- Ca × a × a × a × a × a
- D6 ÷ a
Answer: B.
View full solution →Assertion (A): The perimeter of an equilateral triangle, if side of the triangle is m is 4m.
Reason (R): In an equilateral triangle, each side length is equal.
Reason (R): In an equilateral triangle, each side length is equal.
- ABoth assertion and reason are true and the reason is the correct explanation of assertion.
- BBoth assertion and reason are true but the reason is not the correct explanation of the assertion.
- CAssertion is true and the reason is false.
- ✓Assertion is false and the reason is true.
Answer: D.
View full solution →t minutes are equal to 60/ seconds.
The letter-number in the expression 2p + 3 is 2 and 3.
Savita has p pencils in her box. She puts q more pencils in the box. The total number of pencils with her is p + q.
The expression obtained when x is multiplied by 2 and then subtracted from 3 is 3 – 2x.
The area of a square having each side x is 4x.
Expression for total cost if “a pencil costs x and a pen costs 5x” is _________.
The simplest form of 3x + 4y – 7 + x – 2y is _________.
The letter-number used in expression 4x + 8 is _________.
The number of days in w week is _________.
‘x exceeds by 9’ can be expressed as _________.
Subtract 2x + y from the sum of (x – 2xy + y) and (3x + 2xy – 2y).
Observe the following patterns and find a rule:
On my last birthday, I weighed 40 kg. If I put on m kg of weight after a year, what is my present weight?
Write the rule for formula of perimeter (P) of a triangle where a, b and c are the sides of the triangle.
What is the area of a square whose side is m cm?
Find the values of the following expressions for x = 2.
(a) 2x – 5
(b) 4 + 3x
(a) 2x – 5
(b) 4 + 3x
Case-Based Question :
Rita is organising a school fair. She is in charge of budgeting for various stalls. She notes the following expenses :
→ The cost of each food stall is ₹ x.
→ The cost of each game stall is ₹ y.
→ She plans to have 4 food stalls and 3 game stalls.
There is a fixed decoration cost of ₹ 500.
Based on the above information, answer the following questions.
(a) Write an expression for the total cost to organise the school fair.
(b) What does the term 4x represent?
(c) If the cost of each food stall is ₹200 and each game stall is ₹ 150, what will be the total cost?
Rita is organising a school fair. She is in charge of budgeting for various stalls. She notes the following expenses :
→ The cost of each food stall is ₹ x.
→ The cost of each game stall is ₹ y.
→ She plans to have 4 food stalls and 3 game stalls.
There is a fixed decoration cost of ₹ 500.
Based on the above information, answer the following questions.
(a) Write an expression for the total cost to organise the school fair.
(b) What does the term 4x represent?
(c) If the cost of each food stall is ₹200 and each game stall is ₹ 150, what will be the total cost?
In the given question, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option as :
(i) Assertion (A) : Every algebraic expression has at least one letter-numbers.
Reason (R) : A letter-number is a symbol used to represent an unknown value in an expression.
(ii) Assertion (A) : If Aditi is x years of age now. 5 years ago her age was 10 years, then her present age is 15 years.
Reason (R) : We can express the given situation in form of expression as, x – 5 = 15.
(i) Assertion (A) : Every algebraic expression has at least one letter-numbers.
Reason (R) : A letter-number is a symbol used to represent an unknown value in an expression.
(ii) Assertion (A) : If Aditi is x years of age now. 5 years ago her age was 10 years, then her present age is 15 years.
Reason (R) : We can express the given situation in form of expression as, x – 5 = 15.
- ABoth assertion and reason are true and the reason is the correct explanation of assertion.
- BBoth assertion and reason are true but the reason is not the correct explanation of the assertion.
- CAssertion is true and the reason is false.
- DAssertion is false and the reason is true.
Subtract the following :
(a) 7a + 8b – c from 5a – b + 3c
(b) 2x – 3y from z – x
(c) 3pq – 2p + q from 4pq + 7p – 2p
(d) 11 xy – 5y + 2x from 15xy + y – x
(a) 7a + 8b – c from 5a – b + 3c
(b) 2x – 3y from z – x
(c) 3pq – 2p + q from 4pq + 7p – 2p
(d) 11 xy – 5y + 2x from 15xy + y – x
Write expression for the following :
Take Ruhi’s present age to be x years.
(a) What will be her age after 5 years from now?
(b) What was her age 3 years back?
(c) Ruhi’s grandfather is 6 times her age. What is the age of her grandfather?
(d) Grandmother is 2 years younger than grandfather. What is grandmother’s age?
(e) Ruhi’s father’s age is 5 years more than 3 times Ruhi’s age. What is her father’s age?
Take Ruhi’s present age to be x years.
(a) What will be her age after 5 years from now?
(b) What was her age 3 years back?
(c) Ruhi’s grandfather is 6 times her age. What is the age of her grandfather?
(d) Grandmother is 2 years younger than grandfather. What is grandmother’s age?
(e) Ruhi’s father’s age is 5 years more than 3 times Ruhi’s age. What is her father’s age?
Look at the following and answer the questions :
What is the length of the knife?
What is length of the handle of the screwdriver?
What is perimeter of the notebook?
If there are x apples and y bananas in the baskets. What is the total cost of the fruits altogether?
What is the length of the knife?
What is length of the handle of the screwdriver?
What is perimeter of the notebook?
If there are x apples and y bananas in the baskets. What is the total cost of the fruits altogether?
A teacher asked two students, Aarav and Neha to list the materials needed for a craft project.
→ Aarav wrote: 3x + 2y, where x represents coloured paper sheets and v represents glue sticks.
→ Neha wrote: 5x – y, with the same meanings for x and y.
Based on the above information, answer the following question:
Q.1. To avoid duplication, the teacher decides to combine the two lists. What is the combined list of materials in algebraic expression form?
Q.2. If Neha decides to remove her list from the total, what will the expression be?
Q.3. If 1 sheet of coloured paper costs ₹ 2 and 1 glue stick costs ₹ 5, what is the cost of the combined materials list?
→ Aarav wrote: 3x + 2y, where x represents coloured paper sheets and v represents glue sticks.
→ Neha wrote: 5x – y, with the same meanings for x and y.
Based on the above information, answer the following question:
Q.1. To avoid duplication, the teacher decides to combine the two lists. What is the combined list of materials in algebraic expression form?
Q.2. If Neha decides to remove her list from the total, what will the expression be?
Q.3. If 1 sheet of coloured paper costs ₹ 2 and 1 glue stick costs ₹ 5, what is the cost of the combined materials list?
If Ritika’s present age be x years. Match the statements with the expression.
| Situation | Expression |
| (a) Her brother is 4 years younger than her. | (i) x + 27 |
| (b) Her father’s age exceeds her age by 30 years. | (ii) 9x |
| (c) Mother’s age is 3 years less than that of her father. | (iii) 9x – 4 |
| (d) Her grandfather’s age is 9 times of her age. | (iv) x + 30 |
| (e) Her grandmother’s age is 4 years less than her grandfather. | (v) x – 4 |
Add the following :
(a) ab + bc and bc + ca
(b) 3x – y + z, 2y – 5z and 3z – 4x
(c) 3p – q + 5r, q – 2r and 3r – 2p + 7q
(a) ab + bc and bc + ca
(b) 3x – y + z, 2y – 5z and 3z – 4x
(c) 3p – q + 5r, q – 2r and 3r – 2p + 7q
Identify the following shape sequence. Can you identify the number pattern involved in it? Write it. And, extend the pattern by drawing next two shapes.
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