ISIP Math Grades 6-8 Probability Practice

ISIP Math Grades 6-8 Probability. Practice it free.

The Probability domain (available at certain grade levels only) requires students to analyze chance events, organize samples, make predictions, and determine solutions to problems. This Grades 6-8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grades 6-86 mapped skills

Probability skills

Analyze chance events, organize samples, make predictions, and determine solutions to problems

Standards basis

National Council of Teachers of Mathematics (NCTM) domains and Curriculum Focal Points; Common Core State Standards Initiative; state standards from California, Florida, New York, Texas, and Virginia; Texas Essential Knowledge and Skills (TEKS) for Personal Financial Literacy — national

How the ISIP Math reports it

ISIP Math is an Istation adaptive assessment built on a blended content framework rather than a single external testing consortium. Its technical report says the item bank draws from NCTM domains, Common Core State Standards, and multiple state standards, with Texas TEKS specifically governing personal financial literacy. The technical report also enumerates an NCTM-derived list of reasoning domains (number sense, operations, algebra, geometry, measurement, data analysis, plus probability/statistics, ratios and proportional relationships, and PFL); the operational reporting domains students are scored on, however, are the grade-banded set published on Istation's 'Math Domains and Skills' help page and reproduced in this coverage_map.

Blueprint & weighting

Istation publishes no per-domain item-percentage blueprint for ISIP Math; it is a computer-adaptive assessment whose item selection is driven by student ability rather than a fixed-form domain distribution.

Official sources

Istation ISIP Math Technical Report
Istation ISIP Math Help Page
Istation Math Domains and Skills (help center)

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 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.

Multiply: $P(A \text{ and } B) = \tfrac{3}{6} \times \tfrac{1}{2} = \tfrac{1}{4}$ .

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 $P(\text{lime}) = \dfrac{9}{13}$ .

ISIP Math Grades 6-8 Probability. Practice it free.

Probability skills

Analyze chance events, organize samples, make predictions, and determine solutions to problems

Topics mapped to this domain

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn probability into game time.

More Grades 6-8 domains