Partitioning Shapes - Worksheet 10 - 2nd Grade

Hard

Divide shapes into halves, thirds, and fourths (Hard)

18 problems · 10-15 minutes · Skills: geometry, fractions

About This Worksheet

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

Partitioning shapes into equal areas bridges geometry and fractions — two of the most important Grade 3 content areas. Understanding that different-looking but equal-area parts represent the same fraction deepens both geometric and fractional reasoning.

  • Partition shapes into parts with equal areas and express each part as a fraction
  • Understand that equal parts of equal-sized shapes represent the same fraction even if they look different
  • Connect shape partitioning to the concept of equivalent fractions
  • Partition rectangles and circles into halves, thirds, fourths, sixths, and eighths
  • Describe partitioned parts using unit fraction notation like 1/4 and 1/6

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
18 + 3 =
2
20 + 9 =
3
9 + 15 =
4
4 + 1 =
5
15 + 11 =
6
7 + 5 =
7
11 + 4 =
8
6 + 19 =
9
17 + 4 =
10
7 + 4 =
11
6 + 2 =
12
10 + 20 =
13
3 + 2 =
14
5 + 3 =
15
7 + 18 =
16
20 + 17 =
17
12 + 12 =
18
9 + 20 =

Answer Key

1. 212. 293. 244. 55. 266. 127. 158. 259. 2110. 1111. 812. 3013. 514. 815. 2516. 3717. 2418. 29

Frequently Asked Questions

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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 geometry worksheet cover?

This worksheet focuses on geometry, fractions. 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.