Practice Grade 6 math questions about fractions, decimals, ratios, percentages, integers, expressions, geometry, and data interpretation. Use hints when needed, choose an answer, and review the explanation after each question.
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These 10 questions cover unlike fractions, decimals, ratios, percentages, integers, algebraic expressions, one-step equations, perimeter, median, and probability. The important shift is learning to see relationships between quantities instead of treating every problem as a separate calculation.
Work with fractions, decimals, and percentages as connected representations of quantities.
Use total parts, unit values, and scale factors to reason about proportional relationships.
Combine like terms and undo operations to solve simple equations with an unknown.
Order data to find the median and use favorable outcomes over total outcomes for probability.
The quiz begins with 3/4 + 2/3. Fourths and thirds are different-sized parts, so convert both fractions to twelfths before adding the numerators.
If a total of 40 is split in the ratio 3:5, first find the size of one ratio part, then rebuild the quantity you need.
The current test asks for 15% of 200. In Grade 6, it is useful to see 15% as 10% + 5%, but also as the decimal multiplier 0.15.
One tenth of the quantity.
Half of 10%.
Combine the benchmarks or multiply by 0.15.
For -6 + 14, start at -6 and move 14 units to the right. Crossing zero is simply part of the movement.
The quiz includes both types. Keeping that distinction clear helps prevent students from trying to “solve” an expression that has no equals sign.
Combine only like terms. The constant remains separate from the x-terms.
Undo the operation applied to the variable while keeping both sides balanced.
The rectangle question asks for perimeter, so adding the side lengths around the outside is the correct model. Multiplying 18 × 7 would answer a different question: area.
Sort the data first, then select the middle value.
Count favorable outcomes and divide by the total number of possible outcomes in the model.
3/4 + 2/3 is not 5/7. First make the parts the same size.
7x and -2 are not like terms, so 7x - 2 cannot be reduced to 5x.
Perimeter uses linear units such as cm; area uses square units such as cm².
Review fraction addition, decimal place value, ratio parts, benchmark percentages, and integer movement.
Focus on the transition topics: algebraic expressions, one-step equations, ratios, percent, and interpreting data.
You are ready for more complex ratios, negative-number operations, multi-step equations, proportional reasoning, and Grade 7 algebra.