Free Trail Marker Supply Ratio Worksheet gives learners a diagram, one worked example and five questions. The student sheet leaves space to show work. A second printable page gives the steps for each answer.
Start with the model
Keep the relationship fixed by multiplying or dividing both quantities by the same number.
One batch pairs 3 posts with 12 bolts. The diagram shows a base pair, a doubled pair and two missing entries.
Worked example
Double the base pair 3 to 12. The equivalent pair is 6 to 24.
Ask the learner to point to the information used in the example. When they move on to the exercises, have them record the quantity, unit or label that each step represents.
Practice questions
- How many bolts go with 9 posts?
- How many posts go with 48 bolts?
- How many bolts go with one post?
- Is 9 to 37 equivalent to 3 to 12? Explain.
- Combine batches of 6 and 9 posts. How many bolts are needed?
Separate answer key
- 9 is 3 times 3, so use 3 × 12 = 36 bolts.
- 48 ÷ 12 = 4 batches, so 4 × 3 = 12 posts.
- 12 ÷ 3 = 4 bolts per post.
- No. Multiplying 3 by 3 requires multiplying 12 by 3, which gives 36, not 37.
- Together there are 5 batches, so 24 + 36 = 60 bolts.
Download the student sheet and key
Each page has its own Download image and Download PDF controls. Choose US Letter or A4 for the PDF. Match the paper size in the print dialog and check the page edges before printing. The original PNGs are 2550 × 3300 pixels at 300 dpi. The pages are free for personal and classroom use.