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There is a similar worksheet here on adding three numbers within 20 (although not always with two of them adding up to 10.) There is also another similar adding three numbers worksheet with numbers to 100.

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Related Resources
The various resources listed below are aligned to the same standard, (1OA06) taken from the CCSM (Common Core Standards For Mathematics) as the Addition and subtraction Worksheet shown above.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Chart
Addition/ Subtraction Chart
 Customizable Addition Chart/ Square (lots of options)
 Addition Facts Chart e.g. Square to 20
 Addition Facts Chart e.g. to 20 (4 per page)
Example/Guidance
Flashcard
 Sums to 9 e.g. 6 + 3
 Numbers to 9 e.g. 6 – 3
 Taking away from 1 thru 5
 Taking away from 6 thru 7
 Taking away from 8 thru 9
 Addition – Sums to 9
 Subtraction – Numbers to 9
Methods to learn addition and subtraction
 Adding one ( + 1)
 Adding doubles e.g. 3 + 3
 Subtracting one ( – 1) e.g. 4 – 1
 Adding zero e.g. 6 + 0
 Subtracting doubles e.g. 10 – 5
 Subtracting to one e.g. 7 – 6
 Subtracting doubles e.g. 8 – 4
 Adding two ( + 2) e.g. 4 + 2
Game
Build The Answer Games
 Fact Families to 20
 Number Bonds up to 10 e.g. 6 + ? = 8, 5 + ? = 8
Matching Game
Target Game
 1 or 2 more than (e.g. 1 more than 6)
Quiz
 Addition with making 10 e.g. 7 + 6 =13
Table
Worksheet
Addition and Subtraction Facts
 Basic Addition Number +1
 Basic Facts: Adding Zero
 Basic Facts: Zeros & Doubles
 Basic Facts
 Adding Doubles
 Basic Facts: Review
 Doubles Subtraction
 Basic Facts: Addition & Subtraction
 Addition & Subtraction Facts
 Subtraction Facts: Right Next To Each Other
 Basic Facts: Subtraction
 Basic Facts: Number Plus One
 Addition & Subtraction Facts
 Doubles Subtraction
 Adding & Subtracting Facts