Algebra: Class 6 Mathematics Q&A
17 free answers on Algebra (Mathematics) for Class 6 students, across CBSE, ICSE and State boards. Includes questions such as “Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.”, “If the side of an equilateral triangle is x, find its perimeter.”, “Six less than a number equals to two. What is the number?”
Question & Answer
Questions
- MathematicsClass 6CBSE
Anshika’s Score in Science is 15 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science.
Anshika’s score in Sanskrit = x∴ Her marks in Science = 2/3x + 15∴ Thus, Anshika’s score in Science = 2/3x + 15
- MathematicsClass 6CBSE
A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar.
Time taken by A to reach Amritsar = 12.00 noon – 6.00 am = 6 hour.The uniform speed of the car = x km/ hr∴ Total distance covered by A = Time x speed = 6x km.∴ Distance between Delhi and Amritsar = (6x + 50) km
- MathematicsClass 6CBSE
Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.
Let the number be x.∴ Sum of x and 2 = x + 2Now by multiplying the sum by 6, we get6 × (x + 2) = 42⇒ 6 × x + 6 × 2 = 42⇒ 6x + 12 = 42By inspection, we get6 × 5 + 12 = 42⇒ 30 + 12 = 42∴ 42 = 42So, the required number = 5
- MathematicsClass 6CBSE
If the side of an equilateral triangle is x, find its perimeter.
We know that the three sides of an equilateral triangle are equal.∴ x + x + x = 3x.Thus, the required perimeter = 3x units.
- MathematicsClass 6CBSE
Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number.
Required number is (3x + 5)Now we have to subtract y from the result i.e., 3x + 5 – y
- MathematicsClass 6CBSE
Write an algebraic expression for the following expressions:(a) The sum of a number x and 4 is doubled.(b) One fourth of a number x is added to one third of the same number.
(a) The required expression is 2 x (x + 4)(b) The required expression is 1/4 x +1/3 x
- MathematicsClass 6CBSE
Write an algebraic expression for each of the following:(a) 3 subtracted from a number y.(b) 5 is added to three times a number x.
(a) The required expression is y – 3(b) The required expression is 5 + 3x
- MathematicsClass 6CBSE
Six less than a number equals to two. What is the number?
Let the number be ‘x’.According to condition, we have x – 6 = 2By inspections, we have 8 – 6 = 2∴ x = 8Thus, the required number is 8.
- MathematicsClass 6CBSE
Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Given expression = 2x – 3y + 4zIf x = 10, y = -12 and z = 11,The expression becomes, (2 × 10) (3 × -12) + (4 × 11)= 20 – (-36) + 44= 20 + 36 + 44= 100.
- MathematicsClass 6CBSE
Form expressions using y, 2 and 7. Every expression must have y in it. use only two number operations. These should be different.
The different expressions that can formed are: 2y + 7, 2y – 7, 7y + 2, 7y-2, (y/2) – 7, (y/7)-2, y – (7/2), y + (7/2)
- MathematicsClass 6CBSE
The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students ? (Use s for number of students.)
Number of pencils to be distributed to each student= 5And, let the number of students in class be ‘s’. As per the logic, Number of pencils needed =(Number of students in the class) x. (Number of pencils to be distributed to one student )So, Number of pencils needed = 5 x s = 5s.
- MathematicsClass 6CBSE
Rearrange the terms of the following expressions in ascending order of powers of x:5x2, 2x, 4x4, 3x3, 7x5
If the given terms are arranged in the ascending order of powers of x, we get, 2x, 5x2, 3x3, 4x4, 7x5.
- MathematicsClass 6CBSE
Write which letters give us the same rule as that given by L.
The other letters which give us the same rule as L are T, V and X because the number of matchsticks required to make each of them is 2.
- MathematicsClass 6CBSE
The no. of terms in the expression 3x2y-4x2y2+12xy2-5x is
The no. of terms in the expression 3x2 y-4 x2 y2 +1/2 xy2 - 5x is 4.
- MathematicsClass 6CBSE
The numerical coefficient of the terms 12xy2+12xy2 is ________.
The numerical coefficient of the terms 1/2 xy2 + 1/2 xy2 is 1/2.
- MathematicsClass 6CBSE
The product of 2 and x is being added to the product of 3 and y is expressed as ________.
The product of 2 and x is being added to the product of 3 and y is expressed as 2x + 3y.
- MathematicsClass 6CBSE
The value of 2x – 12 is zero, when x = ________.
The value of 2x – 12 is zero, when x = 6.