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Algebra Class 6 MCQs Questions with Answers
Students are advised to solve Algebra Multiple Choice Questions of Class 6 Maths to know different concepts. Practicing the MCQ Questions on Algebra Class 6 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of Algebra Class 6 with answers provided with detailed solutions by looking below.
Question 1.
An …………………. is a condition on a variable.
(a) expression
(b) equation
(c) equal
(d) none of these
Answer
Answer: (b) equation
Question 2.
What do literals usually represent?
(a) Known quantities
(b) Variables
(c) Constants
(d) Depends on the problem
Answer
Answer: (b) Variables
Question 3.
Which of the following is an equation?
(a) 2x + 3 = 5
(b) 2x + 3 < 5
(c) 2x + 3 > 5
(d) 2x + 3 ≤ 5
Answer
Answer: (a) 2x + 3 = 5
Question 4.
Give expression for 25 added to r.
(a) 25 + r
(b) 25 – r
(c) 25r
(d) None of these
Answer
Answer: (a) 25 + r
Question 5.
Pick out the solution from the values given in the bracket next to each equation. p – 5 = 5 (0, 10, 5 – 5)
(a) 0
(b) 5
(c) -5
(d) 10
Answer
Answer: (d) 10
Question 6.
A basket has x mangoes, how many mangoes are there in 5 baskets?
(a) 5
(b) 5x
(c) 6x
(d) x
Answer
Answer: (b) 5x
Question 7.
The expression for the statement: “5 times the sum of x and y” is
(a) 5 + x + y
(b) 5 – x – y
(c) 5 x (x + y)
(d) None of these
Answer
Answer: (c) 5 x (x + y)
Question 8.
5 ÷ x has the operation
(a) Addition
(b) Subtraction
(c) Multiplication
(d) Division
Answer
Answer: (d) Division
Question 9.
Perimeter of the square, whose each side is ‘n’ cm is
(a) 4n
(b) 2n
(c) 3n
(d) None of these
Answer
Answer: (a) 4n
Question 10.
x + 5 = -11. Then x = ?
(a) x = -14
(b) x = -16
(c) x = -6
(d) None of these
Answer
Answer: (b) x = -16
Question 11.
Which of the following is the perimeter of a regular hexagon of side ‘s’ units?
(a) 6 s units
(b) 12 s units
(c) 6 s2 sq units
(d) -6 s units
Answer
Answer: (a) 6 s units
Question 12.
Form equation: Half of a number is 12.
(a) \(\frac{1}{2}\) + x=25
(b) \(\frac{1}{2}\)x x=12
(c) \(\frac{x}{12}\) + \(\frac{1}{2}\)
(d) none of these
Answer
Answer: (b) \(\frac{1}{2}\) × x=12
Question 13.
Form equation: A number when added to 7 gives 10 as answer.
(a) x + 7 = 10
(b) x + 10 = 7
(c) x – 7 = 10
(d) None of these
Answer
Answer: (a) x + 7 = 10
Question 14.
x- 12 = -20. Then x = ?
(a) x = -20
(b) x = 4
(c) x = \(\frac{8}{12}\)
(d) None of these
Answer
Answer: (b) x = 4
Question 15.
What is the method of finding a solution by trying out various values for the variable called?
(a) Error method
(b) Trial and error method
(c) Testing method
(d) Checking method
Answer
Answer: (b) Trial and error method
Question 16.
Form equation: Twice a number added to 12 gives 27.
(a) 2x – 12 = 27
(b) 2x + 12 = 27
(c) \(\frac{2x}{12}\) = 27
(d) None of these
Answer
Answer: (b) 2x + 12 = 27
Question 17.
2m – 3 has the operation
(a) Addition
(b) Subtraction
(c) Multiplication
(d) Division
Answer
Answer: (b) Subtraction
Question 18.
Which of the following does 2n – 1 represent?
(a) 1 subtracted from the product of n and 2.
(b) The difference of two times n and 2.
(c) 2n added to 1.
(d) n subtracted from 2.
Answer
Answer: (a) 1 subtracted from the product of n and 2.
Question 19.
Form equation: Product of variable x and itself is 64.
(a) \(x^{2}\) = 64
(b) x + x = 64
(c) x = 64
(d) None of these
Answer
Answer: (a) \(x^{2}\) = 64
Question 20.
The expression for the statement: “5 more than a number” is
(a) 5 – x
(b) 5 + x
(c) 5x
(d) 5 ÷ x
Answer
Answer: (b) 5 + x
Question 21.
Identify the operation 2m + 5.
(a) Addition
(b) Subtraction
(c) Multiplication
(d) Division
Answer
Answer: (a) Addition
Question 22.
Perimeter of an equilateral triangle, whose each side is ‘x’ unit is
(a) 4x
(b) 2x
(c) 3 + x
(d) 3x
Answer
Answer: (d) 3x
Question 23.
x – 1 = -7. Then x = ?
(a) x = 6
(b) x = 8
(c) x = -6
(d) x = -7
Answer
Answer: (c) x = -6
Question 24.
Perimeter of an __________ = 3 × length of a side
(a) equilateral triangle
(b) isosceles triangle
(c) right-angled triangle
(d) None of these
Answer
Answer: (a) equilateral triangle
Question 25.
y – 7 = -6. Then y = ?
(a) y = 13
(b) y = \(\frac{7}{6}\)
(c) y = 42
(d) y = 1
Answer
Answer: (d) y = 1
Question 26.
Number of matchsticks required to make a pattern of “U”
(a) 4
(b) 5
(c) 3
(d) 6
Answer
Answer: (c) 3
Question 27.
Form equation: One fifth of x added to x get 25.
(a) \(\frac{x}{5}\) – x = 25
(b) \(\frac{x}{5}\) + x = 25
(c) 5x + x=25
(d) x + \(\frac{5}{x}\) = 25
Answer
Answer: (b) \(\frac{x}{5}\) + x=25
Question 28.
The expression for the statement: “The product of x and y added to 7” is
(a) x + y + 7
(b) x – y + 7
(c) xy + 7
(d) None of these
Answer
Answer: (c) xy + 7
Question 29.
Ramu’s father is thrice as old as Ramu. If father’s age is 45 years, how old is Ramu?
(a) 45 years
(b) 30 years
(c) 15 years
(d) 10 years
Answer
Answer: (c) 15 years
Question 30.
Pick out the solution from the values given in the bracket next to each equation. x + 4 = 2 (– 2, 0, 2, 4)
(a) -2
(b) 4
(c) 2
(d) 0
Answer
Answer: (a) -2
Question 31.
x + 7 = 12. Then x = ?
(a) x = 3
(b) x = 4
(c) x = 5
(d) x = 6
Answer
Answer: (c) x = 5
Question 32.
The expression for the statement: “5 less than x is 6” is
(a) x – 6 = 5
(b) x – 5 = 6
(c ) x + 5 = 6
(d) None of these
Answer
Answer: (b) x – 5 = 6
Question 33.
Take Meena’s present age to be y years, what will be her age 5 years from now?
(a) y + 5
(b) \(\frac { 5 }{ y }\)
(c) y – 5
(d) 5y
Answer
Answer: (a) y + 5
Question 34.
Number of matchsticks required to make a pattern of “A”
(a) 4
(b) 3
(c) 6
(d) 5
Answer
Answer: (b) 3
Question 35.
7 p has the operation
(a) Addition
(b) Subtraction
(c) Multiplication
(d) Division
Answer
Answer: (c) Multiplication
Question 36.
The expression for the statement: “Five times x added to y” is
(a) 5x + y
(b) x + 5y
(c) x – 5y
(d) None of these
Answer
Answer: (b) x + 5y
Question 37.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
(a) 3l
(b) 2l
(c) l
(d) None of these
Answer
Answer: (a) 3l
Question 38.
Which out of the following are expressions with numbers only?
(a) (7 × 20) – (5 × 10) – 45
(b) 3x
(c) (7 × 20) – 8z
(d) 5 – 5n
Answer
Answer: (a) (7 × 20) – (5 × 10) – 45
Question 39.
Choose a value of ‘a’ that satisfies the equation 6a = -30.
(a) 5
(b) 30
(c) -5
(d) 10
Answer
Answer: (c) -5
Question 40.
The expression for the statement: “7 less than y” is
(a) 7 + y
(b) 7 – y
(c) y – 7
(d) None of these
Answer
Answer: (c) y – 7
Question 41.
The expression for the statement: “y multiplied by 10 and then 7 added to product” is
(a) 7y – 10
(b) 10y – 7
(c) 10y + 7
(d) None of these
Answer
Answer: (c) 10y + 7
Question 42.
Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.
(a) 66 m
(b) 11 m
(c) 3 m
(d) 22 m
Answer
Answer: (d) 22 m
Question 43.
The _______ of the variable in an equation which satisfies the equation is called a solution to the equation.
(a) value
(b) term
(c) factor
(d) None of these
Answer
Answer: (a) value
Question 44.
A number is multiplied by 6 and 12 is added to the product. The result is 84. What is the number?
(a) -12
(b) 72
(c) 12
(d) -72
Answer
Answer: (c) 12
Fill in the blanks:
1. \(\frac{x}{5}\) = 9 then x = ……………
Answer
Answer: 45
2. x – 12 = – 8 then x = ……………..
Answer
Answer: 4
3. 10y + 2 = -18 then y = ……………….
Answer
Answer: -2
4. x – 1 = -7 then x = ……………….
Answer
Answer: -6
5. 2x + 7 = 10 then x = ………………
Answer
Answer: \(\frac{3}{2}\)
6. x + 3 = 4 then x = …………..
Answer
Answer: 1
7. y – 2 = 7 then y = ………….
Answer
Answer: 9
8. 3y = 5 then y = …………….
Answer
Answer: \(\frac{5}{3}\)
9. 12x = 60 then x = ………..
Answer
Answer: 5
10. x / 5 = 6 then x = ……………..
Answer
Answer: 30
Match the following:
1.
| (a) Z – 1 = -3 | (i) p – 17 |
| (b) 7 added to x | (ii) x = 6 |
| (c) 17 subtracted from p | (iii) -9z + 15 |
| (d) y divided by 7 | (iv) p = 7 |
| (e) z multiplied by -9 & result added to 15 | (v) \(\frac{y}{7}\) |
| (f) 4 + x = 10 | (vi) z = – 2 |
| (g) 18 = p + 11 | (vii) 2y + 7 = 23 |
| (h) Twice a number plus 7 is 23 | (viii) 7 + x |
| (i) x2 = 49 | (ix) a = 5 |
| (j) 11a = 55 | (x) x = 7 |
Answer
Answer:
| (a) Z – 1 = -3 | (vi) z = – 2 |
| (b) 7 added to x | (viii) 7 + x |
| (c) 17 subtracted from p | (i) p – 17 |
| (d) y divided by 7 | (v) \(\frac{y}{7}\) |
| (e) z multiplied by -9 & result added to 15 | (iii) -9z + 15 |
| (f) 4 + x = 10 | (ii) x = 6 |
| (g) 18 = p + 11 | (iv) p = 7 |
| (h) Twice a number plus 7 is 23 | (vii) 2y + 7 = 23 |
| (i) x2 = 49 | (x) x = 7 |
| (j) 11a = 55 | (ix) a = 5 |
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