NDSA Grade 7 Statistics and Probability Practice

Statistics and Probability skills

Use random sampling to draw inferences about a population.

Draw informal comparative inferences about two populations.

Investigate chance processes and develop, use, and evaluate probability models.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Official sources

North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references

8 free questions · 0/0 correct

Practice playeasy

For two independent events, the probability of flipping two heads in a row: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{2} = \tfrac{1}{4}$ .

Practice playeasy

A bowl contains $4$ lemons and $9$ limes. One piece of fruit is chosen at random. What is the probability that the fruit is a lime?

There are $4 + 9 = 13$ pieces of fruit and $9$ are limes, so $P(\text{lime}) = \dfrac{9}{13}$ .

Practice playeasy

A number cube is rolled once. What is the probability of rolling an even number?

Three of the six faces ( $2, 4, 6$ ) are even, so $P = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

The whole numbers $1$ through $24$ were each written on separate cards. Those $24$ cards were placed in a hat. One card will be randomly drawn from this hat. What is the probability that the card will show a number greater than $15$ ?

Numbers greater than $15$ from $1$ to $24$ are $16, 17, 18, 19, 20, 21, 22, 23, 24$ , giving $9$ favorable outcomes: $P = \tfrac{9}{24} = \tfrac{3}{8}$ .

Practice playeasy

What is the probability of the spinner landing on a shaded section (5 of 8)? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{5}{8} = \dfrac{5}{8}$ .

Practice playeasy

In a random sample of 30, 9 were left-handed students. Estimate how many of 300 are left-handed in the whole population.

Proportion $= \dfrac{9}{30}$ . Estimate $= \dfrac{9}{30} \times 300 = 90$ .

Practice playmedium

A standard six-sided number cube is rolled twice. What is the probability of rolling a $4$ on the first roll and an even number on the second roll?

$P(4\text{ on first roll}) = \dfrac{1}{6}$ and $P(\text{even on second roll}) = \dfrac{3}{6} = \dfrac{1}{2}$ . So $P(\text{both}) = \dfrac{1}{6} \times \dfrac{1}{2} = \dfrac{1}{12}$ .

Practice playeasy

Two fair coins are flipped. How many outcomes are in the sample space?

Each coin has $2$ outcomes, so the sample space has $2 \times 2 = 4$ outcomes: HH, HT, TH, TT.

NDSA Grade 7 Statistics and Probability. Practice it free.

Statistics and Probability skills

Use random sampling to draw inferences about a population.

Draw informal comparative inferences about two populations.

Investigate chance processes and develop, use, and evaluate probability models.

Topics mapped to this domain

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Sampling and inference

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 7 domains