KAP 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

Estimate probabilities and interpret them as long-run relative frequencies

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

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

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

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

8 free questions · 0/0 correct

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 playmedium

A whole number from $1$ through $25$ is chosen at random. What is the probability that the number is a multiple of $4$ ?

The multiples of $4$ from $1$ to $25$ are $4, 8, 12, 16, 20,$ and $24$ , so $P = \dfrac{6}{25}$ .

Practice playeasy

A spinner has $8$ equal sections: $2$ are green and $6$ are yellow. What is the probability the spinner lands on green?

$P(\text{green}) = \dfrac{2}{8} = \dfrac{1}{4}$ .

Practice playeasy

The whole numbers $1$ through $50$ were each written on separate cards. Those $50$ 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 divisible by $5$ ?

Multiples of $5$ from $1$ to $50$ are $5, 10, 15, 20, 25, 30, 35, 40, 45, 50$ , giving $10$ favorable outcomes: $P = \tfrac{10}{50} = \tfrac{1}{5}$ .

Practice playeasy

What is the probability of rolling an even number on a die? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

A spinner with $3$ equal sections is spun, and a standard six-sided die is rolled. How many outcomes are in the sample space?

A tree diagram starts with $3$ branches for the spinner. Each of those splits into $6$ die branches, so the sample space has $3 \times 6 = 18\textsf{.}$

Practice playeasy

A random sample of 20 contained 5 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{5}{20} = \dfrac{1}{4}$ .

Practice playeasy

A game spinner has $8$ equal sections, exactly $2$ of which are blue. A fair coin is then flipped. What is the probability of landing on blue on the spinner and getting tails on the coin?

$P(\text{blue}) = \dfrac{2}{8} = \dfrac{1}{4}$ and $P(\text{tails}) = \dfrac{1}{2}$ . So $P(\text{both}) = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}$ .

KAP 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

Estimate probabilities and interpret them as long-run relative frequencies

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

Topics mapped to this domain

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Sample spaces for compound 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