1. What does 6n mean?
- A6 plus n
- B6 times n
- Cn more than 6
- Dn divided by 6
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Answer: B) 6 times n
When a number is next to a variable with no operator between them, it means multiplication. So 6n = 6 × n.
Class 6 Algebra — practice questions with answers
Algebra · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. If 1 matchstick is needed for each side, the number of matchsticks to make a pattern of n triangles in a row (each triangle uses 3 sticks, sharing none) is 3n. How many matchsticks are needed for 5 such triangles?
- A16
- B30
- C14
- D15
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Answer: D) 15
Use the rule 3n with n = 5: 3 × 5 = 15 matchsticks.
3. The number of legs of t tables, each with 4 legs, is given by which expression?
- At + 4
- B4t
- Ct − 4
- D4 + t
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Answer: B) 4t
Legs per table × number of tables = 4 × t = 4t.
4. Solve .
- A3
- B12
- C8
- D4
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Answer: B) 12
means m shared into 2 equal parts, and that share must be 6. Since , m = 12. The trap 3 divides 6 by 2 instead of asking what number was divided; 8 and 4 add or subtract the 2.
5. Assertion (A): The equation 7k = 21 has solution k = 28. Reason (R): A solution is the value of the variable that makes the two sides of an equation equal. Which is correct?
- ABoth A and R are true and R explains A
- BBoth A and R are true but R does not explain A
- CA is true but R is false
- DA is false but R is true
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Answer: D) A is false but R is true
Substituting k = 28 gives 7 × 28 = 196, not 21, so A is false — 28 comes from adding 7 and 21 instead of asking what 7 is multiplied by. The correct solution is k = 3, since 7 × 3 = 21. R states the definition of a solution correctly, so R is true.
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