Factors, Multiples, and Patterns Test

4th Grade MathFactors and Multiples5 pages

About this worksheet

A unit test for 4th grade covering Common Core 4.OA.4 and 4.OA.5 in ten questions. The factors half asks for the factor pairs of 36, the ordered factors of 24, a multiple-choice hunt for the list of true multiples of 7, a justified answer on whether 54 is a multiple of 6, and four true-false statements including whether 5 is a factor of 82. The primes half classifies 17, 27, 49 and 31 with reasons and takes on Marcus's claim that all odd numbers are prime. Patterns finish it: extend add-6 and multiply-by-2 sequences, explain the odd-even alternation of add-3-from-1, and predict Step 5 of a tile pattern that grows 2, 5, 8. Answer key included.

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$Factors, Multiples, and Patterns Test: Factors and Multiples - page 1$

$Factors, Multiples, and Patterns Test: Factors and Multiples - page 2$

$Factors, Multiples, and Patterns Test: Factors and Multiples - page 3$

$Factors, Multiples, and Patterns Test: Factors and Multiples - page 4$

$Factors, Multiples, and Patterns Test: Factors and Multiples - page 5$

Curriculum objectives covered

4.OA.4

“Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.”

Questions 1 through 7, from the 36 factor pairs to the Marcus counterexample.

4.OA.5

“Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.”

Questions 8 to 10, including the add-3-from-1 alternation explanation the standard quotes as its own example.

What's inside this worksheet

Part 1: Factors and Multiples

Questions 1 to 5: factor pairs of 36, factors of 24 least to greatest, a multiples-of-7 multiple choice whose wrong options smuggle in 22, 17 and the factor 1, the 54-and-6 justification, and four true-false items.

Part 2: Prime and Composite Numbers

A table classifies 17, 27, 49 and 31, each with a reason column for factors or factor counts. Question 7 asks whether Marcus is right that odd means prime, example required.

Part 3: Number Patterns

Add 6 from 4 and multiply by 2 from 3, four terms each. Question 9 explains why 1, 4, 7, 10 alternates odd and even. Question 10's tile pattern shows columns of 2, 5 and 8 squares and asks for the rule and Step 5.

How teachers use it

As the actual test

Ten questions fit one class period with time to check. The reason column in question 6 separates lucky sorts from understood ones; weight it in scoring.

Review mirror

Build the review day from the same question types the day before: one factor-pair task, one true-false volley, one pattern extension on the board.

Item analysis

Score question 5d (is 5 a factor of 82?) separately. It is the quickest read on whether students test claims or trust surfaces.

More 4th Grade Math worksheets

Multi-Digit Operations Fractions and Decimals Measurement and Data Geometry

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