Class 6 Forming Expressions — practice questions with answers
Algebra · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. Which expression means '5 more than x'?
Ax + 5
Bx - 5
C5x
D5x
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Answer: A) x + 5
'More than' means addition, so 5 more than x is x + 5.
2. Write an expression for 'the sum of x and y, multiplied by 2'.
A2(x + y)
B2x + y
Cx + 2y
D2xy
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Answer: A) 2(x + y)
First form the sum x + y, then multiply the whole sum by 2: 2(x + y).
3. A taxi charges ₹50 fixed plus ₹12 per kilometre. For k km the fare is:
A50 + 12k
B12 + 50k
C62k
D50k + 12
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Answer: A) 50 + 12k
Fixed ₹50 plus ₹12 for each of k km gives 50 + 12k.
4. A bus has d seats downstairs and twice as many seats upstairs. Write an expression for the total number of seats in the bus.
A3d
B2d
Cd + 2
D2d + 1
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Answer: A) 3d
Upstairs has 2d seats; total = d + 2d = 3d seats.
5. Two numbers add up to a fixed total of 100. If one number is x, write an expression for the other number, and then for the product of the two numbers.
A100 - x; x(100 - x)
Bx - 100; x(x - 100)
C100 + x; x(100 + x)
D100 - x; 100x
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Answer: A) 100 - x; x(100 - x)
Since both add to 100, the other number is 100 - x. Their product is x times (100 - x) = x(100 - x).