4th Grade Multiplicative Comparison Test with Answer Key (Free PDF)

4th grade multiplicative comparison test – Maths PDF

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This 4th grade multiplicative comparison test covers multiplicative comparison (Common Core 4.OA.A.1, 4.OA.A.2), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can write and solve multiplicative comparison problems, tell them apart from additive comparisons, and explain their reasoning.

Topic: Multiplicative Comparison (4th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 4.OA.A.1, 4.OA.A.2
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This test helps fourth grade students show that they can write and solve multiplicative comparison problems, tell them apart from additive comparisons, and explain their reasoning. Also, it is worth 20 points and takes 40 minutes.

The nine questions start with equations and sentences, then compare additive and multiplicative statements and use a bar model. Then, later questions use a letter for an unknown length and a number of times, and find savings. Also, one question is a three part marble problem, another corrects a classmate, and the last compares a bus and a van. Then, show an equation for each problem.

This 20-point test checks multiplicative comparison (Common Core 4.OA.A.1 and 4.OA.A.2). Work alone, write equations with letters for the unknowns, and show your thinking. You have 40 minutes.

Time and points

About this test

Grade: Grade 4
Chapter: Multiplicative Comparison
Standards: 4.OA.A.1, 4.OA.A.2
Time: 40 minutes
Total: 20 points

4th grade multiplicative comparison test: questions

1 – Equations and sentences [2 pts]

Write a sentence that tells what $36 = 9 \times 4$ means. (1 point)
Write a multiplication equation for this sentence: 56 is 7 times as many as 8. (1 point)

2 – More and times [2 pts]

Mei has 5 stickers. Sofia has 20 stickers.

Write a sentence that tells how many more stickers Sofia has than Mei. (1 point)
Write a sentence that tells how many times as many stickers Sofia has as Mei. (1 point)

3 – Bar model [2 pts]

Each small bar equals the number of pens.

Then, the bar model compares the number of pens with the number of pencils in a drawer. There are 8 pens. There are 3 times as many pencils as pens. Write an equation with the letter p for the number of pencils and solve it.

4 – Unknown length [2 pts]

Now, a python is 21 feet long. It is 7 times as long as a garden snake. Write an equation with the letter s for the length of the garden snake and solve it.

5 – How many times [2 pts]

Also, a scooter costs $72. A helmet costs $9. The scooter costs how many times as much as the helmet? Write an equation with the letter n and solve it.

Question 6 and after

6 – Saving money [2 pts]

Noah saved $\$15.00$. His sister saved 4 times as much as Noah.

How much did his sister save? (1 point)
How much more did his sister save than Noah? (1 point)

7 – Marble collection [3 pts]

Marbles: Aisha has 6.

Aisha has 6 marbles. Liam has 5 times as many marbles as Aisha. Diego has 3 times as many marbles as Liam.

How many marbles does Liam have? (1 point)
Also, how many marbles does Diego have? (1 point)
How many marbles do the three friends have in all? (1 point)

8 – Find the mistake [3 pts]

Ethan says that if Mei has 4 times as many stickers as Jamal, who has 6, then Mei has 10 stickers because 6 + 4 = 10.

Find how many stickers Mei has. (1 point)
Explain Ethan’s mistake. (1 point)
Find how many more stickers Mei has than Jamal. (1 point)

9 – Bus and van [2 pts]

A van seats 6 students.

Now, a school bus holds 48 students. A minivan holds 6 students. The bus holds how many times as many students as the minivan? Write an equation with the letter n and solve it.

Key facts behind this 4th grade multiplicative comparison test

Key facts

“A is n times as many as B” means A = n × B.
“More than” and “fewer than” are additive comparisons; “times as many” is multiplicative.
To find the bigger amount, multiply. To find the smaller amount or the number of times, divide.
Next, use a letter for the unknown, such as 28 = 4 × b.
A bar model with equal units shows the comparison clearly.

Common mistakes with this 4th grade multiplicative comparison test

Students correct an answer but do not explain a classmate’s mistake. Instead, if someone adds when the story says times as many, say that the story calls for multiplying.
Students write the same sentence twice when asked for both kinds of comparison. Also, one sentence uses how many more, and the other uses how many times as many.
Students answer only the last part of a chain problem. The middle amount must be found first, because the last amount depends on it.
Students multiply when asked how many times as much. Instead, to find the number of times, divide the larger amount by the smaller.

Test-taking strategy

Write the equation first, then solve. Then, a correct equation with a small arithmetic slip still earns partial credit.
For multi part problems, label each answer with part a, b, or c. This keeps your steps organized.
Parents can help the night before by asking the child to make up one additive and one multiplicative comparison story.

Download the 4th grade multiplicative comparison test as a PDF with the button below and keep it with your notes.

4th grade multiplicative comparison test: frequently asked questions

What should I include in an explanation of a mistake?

Say what the student did, what they should have done, and the correct answer. For example, write that the student added 3 to 5, but 3 times as many means multiply 5 by 3. A short, clear reason earns full credit.

How do I solve for how many times as much?

Divide the larger amount by the smaller amount. A drum that costs 80 dollars and a stick that costs 10 dollars give 80 divided by 10, which is 8. So the drum costs 8 times as much as the stick.

Can I use a bar model on the test?

Yes. A labeled bar model is a good way to show your thinking and can earn credit even when the final answer has a slip. Draw one bar for the smaller amount and a longer bar made of equal parts for the larger amount.

All Grade 4 chapters: Grade 4 math.

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