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Arrays - Worksheet 9 - 2nd Grade

Hard

Use arrays to model multiplication equations (Hard)

18 problems · 10-15 minutes · Skills: multiplication, arrays

About This Worksheet

This hard-level worksheet contains 18 problems designed for 2nd Grade students practicing arrays. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Arrays are a powerful visual model for multiplication that students will return to when learning area in Grade 3. They also make the commutative property obvious: a 3×4 array contains the same number of objects as a 4×3 array.

  • Arrange objects into rows and columns to form an array
  • Write a multiplication sentence for a given array
  • Understand that switching rows and columns gives the same product (commutative property)
  • Draw an array to represent a given multiplication fact
  • Find the total in an array by multiplying rows by columns

How to Solve: Worked Example

Example Problem: An array contains 24 items arranged in 4 equal rows. How many columns does the array have?
Solution Steps:
  1. We know total items = 24 and rows = 4.
  2. Write the equation: 4 × ? = 24.
  3. Divide to find the missing factor: 24 ÷ 4 = 6.
  4. The array has 6 columns.
  5. Check: 4 × 6 = 24. Correct!
Answer: 6 columns
Tip: To find a missing dimension in an array, divide the total by the known dimension.
1
6 rows × 7 columns = ___ total
2
An array shows 35 objects in 5 equal rows. How many columns?
3
8 rows × 8 columns = ___ total
4
An array shows 28 objects in 4 equal rows. How many columns?
5
An array shows 36 objects in 4 equal rows. How many columns?
6
An array shows 12 objects in 4 equal rows. How many columns?
7
An array shows 28 objects in 4 equal rows. How many columns?
8
An array shows 40 objects in 8 equal rows. How many columns?
9
3 rows × 4 columns = ___ total
10
8 rows × 4 columns = ___ total
11
An array shows 36 objects in 9 equal rows. How many columns?
12
An array shows 12 objects in 3 equal rows. How many columns?
13
4 rows × 4 columns = ___ total
14
3 rows × 4 columns = ___ total
15
8 rows × 8 columns = ___ total
16
An array shows 81 objects in 9 equal rows. How many columns?
17
An array shows 56 objects in 8 equal rows. How many columns?
18
3 rows × 9 columns = ___ total

Answer Key

1. 422. 73. 644. 75. 96. 37. 78. 59. 1210. 3211. 412. 413. 1614. 1215. 6416. 917. 718. 27

Frequently Asked Questions

How do I download this arrays - worksheet 9 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this introduction to multiplication worksheet cover?

This worksheet focuses on multiplication, arrays. It is designed for 2nd Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 10-15 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.