MAST Grade 7 Probability Practice — Sports Academy Games

Probability skills

Approximate the probability of a chance event using a probability model or observed frequencies.

Represent and use sample spaces for compound events to find the probability of a compound chance event.

Standards: 7.SP.5, 7.SP.6, 7.SP.7, 7.SP.7.a, 7.SP.7.b, 7.SP.8, 7.SP.8.a, 7.SP.8.b

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

8 free questions · 0/0 correct

Practice playeasy

Mia can pick from $5$ shirts and $2$ hats. How many different (shirt, hat) outfits are possible?

By the counting principle: $5 \times 2 = 10$ .

Practice playeasy

A jar contains $5$ red tokens and $7$ blue tokens. One token is chosen at random. What is the probability that the token is red?

There are $5 + 7 = 12$ tokens in all and $5$ are red, so $P(\text{red}) = \dfrac{5}{12}$ .

Practice playeasy

One letter is chosen at random from the word GAMES. What is the probability the letter is a vowel?

GAMES has $5$ letters, and $2$ of them ( $A$ and $E$ ) are vowels, so $P = \dfrac{2}{5}$ .

Practice playeasy

The whole numbers $1$ through $24$ were each written on separate cards. Those $24$ cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a number divisible by $4$ ?

Multiples of $4$ from $1$ to $24$ are $4, 8, 12, 16, 20, 24$ , so there are $6$ favorable outcomes: $P = \tfrac{6}{24} = \tfrac{1}{4}$ .

Practice playeasy

A bag holds $4$ red marbles and $5$ green marbles. One marble is drawn at random. What is the probability it is green? Give a simplified fraction.

There are $4 + 5 = 9$ marbles in all and $5$ are green, so $P(\text{green}) = \dfrac{5}{9}$ .

Practice playeasy

Spinner A has $5$ equal sections and exactly $1$ section is gold. Spinner B has $4$ equal sections and exactly $1$ section is gold. Each spinner is spun once. What is the probability that both spinners land on gold?

$P(\text{gold on A}) = \dfrac{1}{5}$ and $P(\text{gold on B}) = \dfrac{1}{4}$ . So $P(\text{both gold}) = \dfrac{1}{5} \times \dfrac{1}{4} = \dfrac{1}{20}$ .

Practice playeasy

For two independent events, the probability of a head then a 4: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{6}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{6} = \tfrac{1}{12}$ .

Practice playeasy

A game spinner is divided into $12$ equal sections. Exactly $4$ sections are gold and the rest are silver. What is the probability that the spinner lands on gold on one spin?