MCA 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
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

MCA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Minnesota Department of Education MCA page
Minnesota Academic Standards in Mathematics implementation reference
MCA-III Mathematics Test Specifications, Grades 3-8 and 11

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.