ISAT Grade 7 Statistics and Probability Practice

What the test measures

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

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two fair coins are tossed. What is the probability of getting exactly one head?

The sample space is HH, HT, TH, TT. Exactly one head appears in $2$ of the $4$ equally likely outcomes: $\dfrac{2}{4} = \dfrac{1}{2}$ .

Practice playeasy

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

STUDENT has $7$ letters. The vowels are U and E, so $P(\text{vowel}) = \dfrac{2}{7}$ .

Practice playeasy

A standard die is rolled. What is the probability of not rolling a $6$ ?

Five of the six faces are not $6$ , so $P = 1 - \dfrac{1}{6} = \dfrac{5}{6}$ .

Practice playeasy

The whole numbers $1$ through $40$ were each written on separate pieces of paper. Those $40$ pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a perfect square?

Perfect squares from $1$ to $40$ are $1, 4, 9, 16, 25, 36$ , so there are $6$ favorable outcomes: $P = \tfrac{6}{40} = \tfrac{3}{20}$ .

Practice playeasy

What is the probability of rolling a 4 on a standard die? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{1}{6} = \dfrac{1}{6}$ .

Practice playeasy

A random sample of 32 contained 8 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{8}{32} = \dfrac{1}{4}$ .

Practice playeasy

A standard six-sided number cube is rolled twice. What is the probability of rolling a $2$ both times?

$P(2\text{ on one roll}) = \dfrac{1}{6}$ . For two independent rolls, $P(\text{both }2\text{s}) = \dfrac{1}{6} \times \dfrac{1}{6} = \dfrac{1}{36}$ .

Practice playeasy

For two independent events, the probability of an even roll then a head: $P(A)=\tfrac{3}{6}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.