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Class 6 Introduction to Variables — 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 of the following is a variable?
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Answer: B) x
A variable is a letter (like x) that can take different values. 7, 12 and 100 are fixed numbers (constants).
2. Which expression represents 'a number n divided by 4'?
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Answer: C)
'Divided by 4' is written as .
3. In a school assembly the students stand in rows. Each row has the same number of students, written as r. If there are 8 rows, the expression 8r stands for the total students.
If there are 25 students in each row, how many students are there in all?
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Answer: A) 200
Total students = 8r. Substitute r = 25: 8 × 25 = 200.
4. A pattern of dots grows like this: figure number 1 has 5 dots, figure 2 has 7 dots, figure 3 has 9 dots, and so on. Each new figure adds 2 dots.
Which rule gives the number of dots in figure number p?
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Answer: A) 2p + 3
Check the rule 2p + 3: p = 1 gives 5, p = 2 gives 7, p = 3 gives 9. It matches all figures.
5. A milkman delivers the same number of litres, x, each day. In a 30-day month he delivers 30x litres, but on 4 holidays he delivers nothing.
If he actually delivered 156 litres in the month, how many litres did he deliver per working day?
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Answer: C) 6
Working days = 30 - 4 = 26. Total delivered = 26x = 156, so x = litres per day.
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