Grade 7 Math Worksheets

Solve multi-step problems using positive and negative numbers in any form — whole numbers, fractions, decimals and percents — then check that the answer is reasonable.

Solve two-step linear equations of the form ax + b = c using inverse operations.

Solve two-step inequalities of the form ax + b < c, correctly reversing the sign with negative coefficients.

Express the gap between two means as a multiple of the mean absolute deviation, then judge whether the two groups genuinely differ or simply overlap.

Find the theoretical probability of a single event as a fraction of favorable to total outcomes.

Judge whether a sampling method fairly represents the whole population, and explain why. Random selection gives a representative sample; convenience and self-selected samples do not.

Use a random sample to estimate a count for the whole population, and look at how much the estimate varies between samples of the same size.

Find the median and range of two data sets, decide which group tends to be higher, and say whether the two groups overlap.

Estimate a probability from the results of many trials, or use a known probability to predict how often something will happen — and understand why more trials give a better estimate.

Compare what a fair model predicts with what actually happened in an experiment, and decide whether the difference is ordinary variation or evidence that the model is wrong.