NJSLA Grade 7 Statistics and Probability. Practice it free.

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. This Grade 7 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 7SP7 mapped skills
What the test measures

Statistics and Probability skills

  1. 7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population

  2. 7.SP.A.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest

  3. 7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions

  4. 7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences

  5. 7.SP.C.5 Understand that the probability of a chance event is a number between 0 and 1

  6. 7.SP.C.6 Approximate the probability of a chance event by collecting data on the chance process

  7. 7.SP.C.7 Develop a probability model and use it to find probabilities of events

  8. 7.SP.C.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Practice by skill

Topics mapped to this domain

Compound probability

Grade 718 questions

One-event probability word problems

Grade 710 questions

Probability basics

Grade 718 questions

Probability from number sets

Grade 710 questions

Probability of simple events

Grade 716 questions

Sampling and inference

Grade 715 questions

Two-event compound probability word problems

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

For two independent events, the probability of an even roll then a head: P(A)=36P(A)=\tfrac{3}{6}, P(B)=12P(B)=\tfrac{1}{2}. Find P(A and B)P(A \text{ and } B) as a simplified fraction.

Multiply: P(A and B)=36×12=14P(A \text{ and } B) = \tfrac{3}{6} \times \tfrac{1}{2} = \tfrac{1}{4}.

Practice playeasy

A game spinner is divided into 1212 equal sections. Exactly 44 sections are gold and the rest are silver. What is the probability that the spinner lands on gold on one spin?

P(gold)=412=13P(\text{gold}) = \dfrac{4}{12} = \dfrac{1}{3}.

Practice playeasy

A standard six-sided die is rolled once. What is the probability of rolling a 44?

Exactly one of the 66 equally likely faces shows a 44, so the probability is 16\dfrac{1}{6}.

Practice playeasy

The whole numbers 11 through 2424 were each written on separate slips of paper. Those 2424 slips were placed in a box. One slip will be randomly drawn from this box. What is the probability that the slip will show a factor of 2424?

Factors of 2424 from 11 to 2424 are 1,2,3,4,6,8,12,241, 2, 3, 4, 6, 8, 12, 24, giving 88 favorable outcomes: P=824=13P = \tfrac{8}{24} = \tfrac{1}{3}.

Practice playeasy

What is the probability of drawing an Ace from a deck? Give a simplified fraction.

P=favorabletotal=452=113P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{4}{52} = \dfrac{1}{13}.

Practice playeasy

In a random sample of 20, 7 were voters favoring the plan. Estimate how many of 100 are favoring in the whole population.

Proportion =720= \dfrac{7}{20}. Estimate =720×100=35= \dfrac{7}{20} \times 100 = 35.

Practice playmedium

A game spinner has 66 equal sections numbered 11 through 66. The spinner is spun twice. What is the probability that both spins land on a number greater than 44?

P(greater than 4)=26=13P(\text{greater than }4) = \dfrac{2}{6} = \dfrac{1}{3} on each spin. The spins are independent, so P(both)=13×13=19P(\text{both}) = \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}.

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: 3×4=123 \times 4 = 12.

Keep practicing

Turn statistics and probability into game time.

The NJSLA placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.SP.C.87.SP.C.77.SP.C.57.SP.A.2
Statistics and Probability in other NJSLA grades
Grade 6Grade 8
The same skills on other tests
i-ReadyAASAACAPForward
Source and test overview
All NJSLA prepOfficial test source
Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsAnalyze proportional relationships and use them to solve real-world and mathematical problems.8 QsPractice →The Number SystemApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.8 QsPractice →Expressions and EquationsUse properties of operations to generate equivalent expressions; solve real-life and mathematical problems using numerical and algebraic expressions and equations.8 QsPractice →GeometryDraw, construct, and describe geometrical figures and solve problems involving angle measure, area, surface area, and volume.8 QsPractice →