Free original lessons
Draw Pascal's Triangle
Draw Pascal's Triangle is a free printable worksheet pack for building rows 3, 5, 6 and 7 of Pascal's triangle. The top row is numbered 0. Both edge values are 1, and each inner value is the sum of its two parents.
Letter & A4
PDF & SVG
The pack contains separate reference, student and answer PDFs in both A4 and US Letter, plus a per-page SVG for each page. The reference PDF solves the first task as a guided example: it shows row 3 completed from the supplied row 2, with 1 at each edge and each inner value added from the two parents above it. The student PDF keeps the same row-building layout but leaves a blank attempt area for the learner to fill in. That blank area is deliberate, so students work the rows themselves rather than copying a finished triangle. The answer PDF gives the completed rows for checking. The four tasks ask students to complete rows 3, 5, 6 and 7, each time using the supplied previous row and adding the two parents above each inner position.
Download the complete resource pack
All individual editable SVG pages (18)
- A4 reference page 1
- A4 student page 1
- A4 student page 2
- A4 student page 3
- A4 student page 4
- A4 answer page 1
- A4 answer page 2
- A4 answer page 3
- A4 answer page 4
- LETTER reference page 1
- LETTER student page 1
- LETTER student page 2
- LETTER student page 3
- LETTER student page 4
- LETTER answer page 1
- LETTER answer page 2
- LETTER answer page 3
- LETTER answer page 4
Print at 100% / actual size. Use the stated scale on any schematic diagram; physical cutting templates are identified separately. A4 and US Letter are separate files. Free access, no signup; CC BY 4.0.
How to use these pages
- Choose the A4 or US Letter set, then open the reference PDF and read the worked row 3 example.
- Print the student PDF and have the learner complete row 3 in the blank attempt area, placing 1 at each edge and adding the two parents above each inner position.
- Continue with rows 5, 6 and 7, using the supplied previous row for each task.
- Check each completed row against the answer PDF, and use the row-sum check to confirm the work.
Four practice tasks and complete answers
Task 1
Complete row 3 of Pascal's triangle, counting the top 1 as row 0. Use the supplied row 2; add the two parents above each inner position.
Show answer 1
1, 3, 3, 1.
Place 1 at each edge. Each inner value is the sum of the two adjacent values in the previous row.
Check: The row sum is 8 = 2^3.
Task 2
Complete row 5 of Pascal's triangle, counting the top 1 as row 0. Use the supplied row 4; add the two parents above each inner position.
Show answer 2
1, 5, 10, 10, 5, 1.
Place 1 at each edge. Each inner value is the sum of the two adjacent values in the previous row.
Check: The row sum is 32 = 2^5.
Task 3
Complete row 6 of Pascal's triangle, counting the top 1 as row 0. Use the supplied row 5; add the two parents above each inner position.
Show answer 3
1, 6, 15, 20, 15, 6, 1.
Place 1 at each edge. Each inner value is the sum of the two adjacent values in the previous row.
Check: The row sum is 64 = 2^6.
Task 4
Complete row 7 of Pascal's triangle, counting the top 1 as row 0. Use the supplied row 6; add the two parents above each inner position.
Show answer 4
1, 7, 21, 35, 35, 21, 7, 1.
Place 1 at each edge. Each inner value is the sum of the two adjacent values in the previous row.
Check: The row sum is 128 = 2^7.
Useful checks
- Numbering the top 1 as row 1 instead of row 0 shifts every later row.
- Filling only the inner values and forgetting the 1 at each edge leaves the row incomplete.
- Adding values from the same row instead of the two parents in the row above gives incorrect inner values.
Questions about this resource
Is the blank attempt area a mistake?
No. It is deliberate: the student PDF leaves space for the learner to build each row, and the answer PDF provides the completed rows for checking.
Which rows does the printable cover?
The four tasks cover rows 3, 5, 6 and 7, counting the top 1 as row 0. Each task supplies the previous row.