ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of MCQs Questions for Algebra as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 6th |

Chapter-9 | Algebra |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of MCQs |

Edition | 2023-2024 |

**Algebra MCQs **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-198

**Mental Maths**

**Question 1.** **Fill in the blanks:**

(i) In algebra, we use …………… to represent variables (generalized numbers).

(ii) A symbol or letter which can be given various numerical values is called a ……………

(iii) If Jaggu’s present age is x years, then his age 7 years from now is ……………

(iv) If one pen costs ₹ x, then the cost of 9 pens is ……………

(v) An equation is a statement that the two expressions are ……………

(vi) The Numerical coefficient of the monomial -5x^{2}y^{3} is ……

(vii) 7 less than thrice a number y is ……………

(viii) If 3x + 4 = 19, then the value of x is ……………

(ix) The number of pencils bought for ₹ x at the rate of ₹2 per pencil is ……………

(x) 3pq and -5pq are …. terms.

(xi) The value of the expression 3 – 5x for x = 4 is ……

**Answer:**

(i) In algebra, we use **letters** to represent variables (generalized numbers).

(ii) A symbol or letter which can be given various numerical values is called a **variable.**

(iii) If Jaggu’s present age is x years, then his age 7 years from now is **(x + 7) years**.

(iv) If one pen costs ₹ x, then the cost of 9 pens is ₹**9x.**

(v) An equation is a statement that the two expressions are **equal.**

(vi) The Numerical coefficient of the monomial -5x^{2}y^{3} is **-5**

(vii) 7 less than thrice a number y is** 3y – 7.**

(viii) If 3x + 4 = 19, then the value of x is** 5.**

(ix) The number of pencils bought for ₹ x at the rate of ₹2 per pencil is** x/2**.

(x) 3pq and -5pq are **unlike** terms.

(xi) The value of the expression 3 – 5x for x = 4 is **-17**

**Algebra MCQs **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-199

**Question 2. State whether the following statements are ture (T) or false (F):**

(i) If x is variable then 5x is also variable.

(ii) If y is variable then y – 5 is also variable.

(iii) The number of angles in a triangle is a variable.

(iv) The value of an algebraic expression changes with the change in the value of the variable.

(v) If the length of a rectangle is twice its breadth, then its area is a constant.

(vi) An equation is satisfied only for a definite value of the variable.

(vii) If x toffees are distributed equally among 5 children, then each child gets 5x toffees.

(viii) t minutes are equal to 60 t seconds.

(ix) If x is a negative integer, then -x is a positive integer.

(x) x = 5 is a solution of the equation 3x + 2 = 13.

(xi) 2y- 7 > 13 is an equation.

(xii) ‘One third of a number x added to itself gives 8’ can be expressed as x/3 + 8 = x.

(xiii)The difference between the ages of two sisters Lata and Asha is a variable.

**Answer:**

(i) If x is variable then 5x is also variable. **True**

(ii) If y is variable then y – 5 is also variable. **True**

(iii) The number of angles in a triangle is a variable. **False**

(iv) The value of an algebraic expression changes with the change in the value of the variable. **True**

(v) If the length of a rectangle is twice its breadth, then its area is a constant. **False**

(vi) An equation is satisfied only for a definite value of the variable. **True**

(vii) If x toffees are distributed equally among 5 children, then each child gets 5x toffees. **False**

(viii) t minutes are equal to 60 t seconds. **True**

(ix) If x is a negative integer, then -x is a positive integer. **True**

(x) x = 5 is a solution of the equation 3x + 2 = 13. **False**

(xi) 2y – 1 > 13 is an equation. **False**

(xii) ‘One third of a number x added to itself gives 8’ can be expressed as x/3 + 8 = x. **False**

(xiii)The difference between the ages of two sisters Lata and Asha is a variable. **False**

**Algebra MCQs **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-199

**Choose the correct answer from the given four options (3 to 19):
**

**Question 3. I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement is**

(a) x + 5 × 2 = 24

(b) (x + 5) × 2 = 24

(c) 2 × x + 5 = 24

(d) x + 5 = 2 × 24

**Answer:**

Let number = x

Add 5 to the number

⇒ i.e. x + 5

Now multiply result with 2

i.e. (x + 5) × 2

Now, final result is 24

i.e. (x + 5) × 2 = 24 (b)

**Question 4. ****Which of the following is an equation?**

(a) x + 5

(b) 7x

(c) 2y + 3 = 11

(d) 2p < 1

**Answer:**

2y + 3 = 11 (c)

**Question 5. If each matchbox contains 48 matchsticks, then the number of matchsticks required to fill n such boxes is**

(i) 48 + n

(b) 48 – n

(c) 48 ÷ n

(d) 48n

**Answer:**

Matchstick required to fill 1 matchbox

= 48 × 1 = 48

Matchstick required to fill 2 matchbox

= 48 × 2 = 96

Matchstick required to fill 3 matchbox

= 48 × 3 – 144

∴ Matchstick required to fill n matchbox

= 48 n (d)

**Question 6. ****If the perimeter of a regular hexagon is x metres, then the length of each of its sides is**

(a) (x + 6) metres

(b) (x – 6) metres

(c) (x ÷ 6) metres

(d) (6 ÷ x) metres

**Answer:**

Perimeter of hexagon = x metres

6(side) = x metres

Side = (x ÷ 6) metres

∴ Side = (x ÷ 6) metres (c)

**Question 7. ****x = 3 is the solution of the equation**

(a) x + 7 = 4

(b) x + 10 = 7

(c) x + 7 = 10

(d) x + 3 = 7

**Answer:**

When put the value of x = 3

3 + 7=10 (c)

**Question 8. ****The solution of the equation 3x – 2 = 10 is**

(a) x = 1

(b) x = 2

(c) x = 3

(d) x = 4

**Answer:**

3x – 2 = 10

3x = 10 + 2

x = 12/3 = x = 4 (d)

**Question 9.****The operation not involved in forming the expression 5x + 5/x from the variable x and number 5 is**

(a) addition

(b) subtraction

(c) multiplication

(d) division

**Answer:**

Subtraction (b)

**Algebra MCQs **

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-200

**Question 10. ****The quotient of x by 3 added to 7 is written as**

(a) x/3 + 7

(b) 3/x + 7

(c) (x + 3)/7

(x/(3 + 7))

**Answer:**

(a) x/3 + 7

**Question 11. ****If there are x chairs in a row, then the number of persons that can be seated in 8 rows are**

(a) 64

(b) x + 8

(c) 8x

(d) none of these

**Answer:**

Let the no. of chairs in a row = x

⇒ Number of persons that can be seated in a row = x

Hence, number of persons that can be seoted in 8 row = 8x (c)

**Question 12. If Arshad earns ₹ x per day and spends ₹ y per day, then his saving for the month of March is**

(a) ₹(31x – y)

(b) ₹31(x – y)

(c) ₹31 (x + y)

(d) ₹31 (y – x)

**Answer:**

Earning of Arshad for 1 day = ₹ x

Spending of Arshad for 1 day = ₹ y

Saving for 1 day = ₹(x – y)

Saving for 31 days = ₹31 (x – y) (b)

**Question 13. ****If the length of a rectangle is 3 times its breadth and the breadth is x units, then its perimeter is**

(a) 4x units

(b) 6x units

(c) 8x units

(d) 10x units

**Answer:**

Breadth of rectangle = x units

Length of rectangle = 3(Breadth) = 3x

Perimeter of rectangle = 2(l + b)

= 2(3x + x)

= 2(4x) = 8x units (c)

**Question 14. ****Rashmi has a sum of ₹ x. She spend ₹800 on grocery, ₹600 on cloths and ₹500 on education and received as ₹200 as a gift. How much money (in ₹) is left with her?**

(a) x – 1700

(b) x – 1900

(c) x + 200

(d) x – 2100

**Answer:**

Total money = ₹ x

Money spent = ₹800 on grocery

Money spent = ₹600 on cloths .

Money spent = ₹500 on education

Money left with Rashmi

= x – ₹800 + ₹600 + ₹500

= x – 1900

She received a gift of = ₹200

∴ Money left = x – 1900 + 200

= x – 1700 (a)

**Question 15. ****For any two integers a and b, which of the following suggests that the operation of addition is commutative?**

(a) a × b = b × a

(b) a + b = b + a

(c) a – b = b – a

(d) a + b > a

**Answer:**

a + b = b + a

**Question 16. The number of unlike terms in the expression**

2x^{2}y -3y^{2}z – 5yx^{2} + yz (x + y) + 7 is

(a) 3

(b) 4

(c) 5

(d) 6

**Answer: (b) 4**

**Question 17. The value of the polynomial 3x**^{2} – 5x |+ 3 when x = 1 is

^{2}– 5x |+ 3 when x = 1 is

(a) -1

(b) 0

(c) 1

(d) 11

**Answer: (c) 1**

— : End of ML Aggarwal Algebra MCQs Class 6 ICSE Maths Solutions :–

Return to **–** ML Aggarwal Maths Solutions for ICSE Class -6

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