7th Grade Compound Events and Simulations Test with Point Values (PDF)

7th Grade math test: Compound Events and Simulations – Maths PDF

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This compound events test for 7th Grade covers compound events and simulations (Common Core 7.SP.C.8), with a free PDF to print.

This 45-minute test checks the probability of compound events using organized lists, tables, tree diagrams, and simulations (Common Core 7.SP.C.8). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Compound Events and Simulations
Standards: 7.SP.C.8
Time: 45 minutes
Total: 20 points

Compound events test: questions

Question 1 – Sample space [2 pts]

A tree diagram.

List the sample space shown and find the probability of an outcome with the letter A and an odd number.

Question 2 – Two dice [2 pts]

Sums of two dice.

Use the table to find P(sum is 8) and P(sum is less than 4).

Question 3 – Counting principle [2 pts]

A pizza shop offers 3 crusts, 4 sauces, and 5 toppings. How many different pizzas have one of each? What is the probability of picking one specific pizza at random?

Question 4 – With replacement [2 pts]

A bag has 3 green and 2 yellow marbles. One is drawn, replaced, and a second is drawn. Find P(both green).

Question 5 – At least one [2 pts]

A fair coin is tossed three times. Find the probability of getting at least one head. Hint: find P(no heads) first.

Question 6 – Design a simulation [2 pts]

A spinner lands on blue 30% of the time. Describe how to use random digits 0 to 9 to simulate three spins and how to estimate the probability of at least one blue.

Question 7 – Simulation results [2 pts]

Ten simulated trials.

The digits 0, 1, 2 mean blue. Use the ten trials to estimate P(at least one blue in three spins).

Question 8 – Spinner and coin [3 pts]

A spinner numbered 1 to 4 and a coin.

How many outcomes are there? (1 point)
Find P(even number and heads). (1 point)
Find P(number greater than 2 and tails). (1 point)

Question 9 – Dice differences [3 pts]

Two dice.

How many outcomes are there? (1 point)
Find P(the two numbers differ by exactly 1). (1 point)
Find P(the numbers are the same). (1 point)

Key facts behind this compound events test

Key facts

A compound event has two or more stages, such as two coin tosses.
The sample space lists every possible outcome.
Counting principle: \(m \times n\) outcomes for two stages with m and n ways.
Equally likely outcomes: \(P = favorable \div total\).
A simulation uses random numbers to estimate a probability.

How to use this compound events test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 7 chapters: Grade 7 math.

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