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Fact Families - Worksheet 9 - 2nd Grade

Hard

Understand relationships between addition and subtraction fact families (Hard)

23 problems · 10-15 minutes · Skills: addition, subtraction, number relationships

About This Worksheet

This hard-level worksheet contains 23 problems designed for 2nd Grade students practicing fact families. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Regular practice with worksheets helps students build fluency and confidence in essential math skills.

  • Practice core skills for this topic
  • Build confidence through repetition
  • Track progress across difficulty levels

How to Solve: Worked Example

Example Problem: Write all 4 facts for: 4, 7, 11
Solution Steps:
  1. 4 + 7 = 11
  2. 7 + 4 = 11
  3. 11 − 4 = 7
  4. 11 − 7 = 4
Answer: 4+7=11, 7+4=11, 11−4=7, 11−7=4
Tip: Knowing one fact family gives you four facts for free — use them to solve problems faster!
1
Write all 4 facts for: 7, 7, 14
2
Write all 4 facts for: 8, 9, 17
3
Write all 4 facts for: 7, 9, 16
4
Write all 4 facts for: 7, 9, 16
5
Write all 4 facts for: 6, 6, 12
6
Write all 4 facts for: 9, 9, 18
7
Write all 4 facts for: 8, 3, 11
8
Write all 4 facts for: 7, 3, 10
9
Write all 4 facts for: 3, 3, 6
10
Write all 4 facts for: 4, 3, 7
11
Write all 4 facts for: 4, 5, 9
12
Write all 4 facts for: 6, 7, 13
13
Write all 4 facts for: 9, 3, 12
14
Write all 4 facts for: 9, 4, 13
15
Write all 4 facts for: 4, 5, 9
16
Write all 4 facts for: 9, 5, 14
17
Write all 4 facts for: 4, 4, 8
18
Write all 4 facts for: 8, 9, 17
19
Write all 4 facts for: 5, 7, 12
20
Write all 4 facts for: 6, 3, 9
21
Write all 4 facts for: 8, 7, 15
22
Write all 4 facts for: 6, 3, 9
23
Write all 4 facts for: 9, 6, 15

Answer Key

1. 7+7=14, 7+7=14, 14-7=7, 14-7=72. 8+9=17, 9+8=17, 17-8=9, 17-9=83. 7+9=16, 9+7=16, 16-7=9, 16-9=74. 7+9=16, 9+7=16, 16-7=9, 16-9=75. 6+6=12, 6+6=12, 12-6=6, 12-6=66. 9+9=18, 9+9=18, 18-9=9, 18-9=97. 8+3=11, 3+8=11, 11-8=3, 11-3=88. 7+3=10, 3+7=10, 10-7=3, 10-3=79. 3+3=6, 3+3=6, 6-3=3, 6-3=310. 4+3=7, 3+4=7, 7-4=3, 7-3=411. 4+5=9, 5+4=9, 9-4=5, 9-5=412. 6+7=13, 7+6=13, 13-6=7, 13-7=613. 9+3=12, 3+9=12, 12-9=3, 12-3=914. 9+4=13, 4+9=13, 13-9=4, 13-4=915. 4+5=9, 5+4=9, 9-4=5, 9-5=416. 9+5=14, 5+9=14, 14-9=5, 14-5=917. 4+4=8, 4+4=8, 8-4=4, 8-4=418. 8+9=17, 9+8=17, 17-8=9, 17-9=819. 5+7=12, 7+5=12, 12-5=7, 12-7=520. 6+3=9, 3+6=9, 9-6=3, 9-3=621. 8+7=15, 7+8=15, 15-8=7, 15-7=822. 6+3=9, 3+6=9, 9-6=3, 9-3=623. 9+6=15, 6+9=15, 15-9=6, 15-6=9

Frequently Asked Questions

How do I download this fact families - 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 subtraction worksheet cover?

This worksheet focuses on addition, subtraction, number relationships. 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 23 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.