Free printable resources · Original practice
Print 5 mm squares, with an optional heavier line every 10 mm. Use the original route exercise to separate paper length, path distance and drawing scale.
Print 5 mm squares, with an optional heavier line every 10 mm. Use the original route exercise to separate paper length, path distance and drawing scale.
Choose US Letter or A4, then download the PDF for printing or the SVG for editing. Keep the student worksheet separate from its answer or reference completion. All files, including the answers, are free without signup.
Original blank printable. Choose Letter or A4; print at actual size.
Original blank printable. Choose Letter or A4; print at actual size.
Plot (0,0) → (6,0) → (6,3) → (10,3) → (10,7), joining consecutive points. The coordinates count grid intervals, not millimeters. Its horizontal span is 10 × 5 = 50 mm; its height is 7 × 5 = 35 mm. The route has four segments of 30, 15, 20 and 20 mm, totaling 85 mm.
At the stated 1:20 drawing scale, its represented route is 85 × 20 = 1700 mm = 1.7 m. The straight start-to-finish displacement would instead be √(50² + 35²), about 61.03 mm on paper. Do not substitute that diagonal for the distance traveled along the route.
Original practice with a separate reference answer. Choose Letter or A4.
| Paper | Complete grid | Physical interval |
|---|---|---|
| US Letter | 38 columns × 45 rows | 5 mm |
| A4 | 36 columns × 49 rows | 5 mm |
| Major-line option | Every second line emphasized | 10 mm between major lines |
Choose plain 5 mm squares or the same grid with a heavier line every 10 mm. The files preserve a minimum 12.7 mm side inset and a 25.4 mm top and bottom region, then center complete cells in the available space. Actual ink margins therefore vary slightly with paper size. Letter contains 38 columns by 45 rows; A4 contains 36 by 49. Select the matching paper file and print at Actual size / 100%. A 5 mm interval is smaller than a quarter-inch interval of 6.35 mm; the two grids are not interchangeable for measured drawings.
Follow the specified polyline coordinates starting at zero zero, moving to six zero, then six three, ten three, and finally ten seven. This sequence creates a horizontal span of 50mm and a height of 35mm. The total path length measures 85mm on the printed sheet. Note that this route length differs from the straight endpoint displacement. Use the grid lines to guide your pencil or marker along each segment precisely. This activity demonstrates path distance versus direct displacement using the fixed 5mm grid structure for consistent measurement and visual tracking of the geometric progression.
Measure the 100 mm and 4 inch calibration bars with a physical ruler after printing. Check a perpendicular grid span too: ten 5 mm intervals should measure 50 mm along either axis. These checks can reveal scaling or distortion, although they do not certify every part of a printer’s output. In the activity, a stated 1:20 scale multiplies the 85 mm paper route by 20. Its represented length is 1700 mm, or 1.7 m. Keep the printed interval, drawing scale and represented length as three separate quantities.
| Watch for | Check instead |
|---|---|
| Assuming the grid uses quarter-inch intervals instead of the specified 5mm spacing. | Verify the grid uses exactly 5mm intervals, distinct from the 6.35mm quarter-inch standard, to ensure correct scaling. |
| Confusing the total path length with the straight-line distance between start and end points. | Remember the total path is 85mm, which differs from the straight endpoint displacement calculated by the coordinates. |
| Ignoring the calibration bars when checking print accuracy for the 1:20 scale activity. | Measure the 100mm and 4-inch bars first to confirm the print scale before tracing the 85mm route. |
Use the PDF that matches the paper loaded in your printer. Choose Actual size / 100% and turn off Fit, Shrink and browser headers. The SVG keeps millimeter dimensions, but an editor or browser can rescale it; the PDF is the simpler print path. Measure any calibration bars with a separate physical ruler when the exercise depends on printed size. A screen preview does not establish physical scale.
Packs combine the same individual pages; they are not extra different exercises. Print a student copy first and keep references nearby for review. Letter and A4 preserve the stated grid spacing or model definition while their surrounding white space can differ. Color is optional: the references also use line position, text or relative lightness to explain the result.
Letter sheets contain 38 columns and 45 rows, while A4 sheets provide 36 columns and 49 rows, all using 5mm intervals.
The printed path is 85mm, which converts to 1700mm or 1.7 meters when scaled at 1:20 for the activity.
Complete cells are centered inside a region reserved at least 12.7 mm from the sides and 25.4 mm from the top and bottom. Extra leftover space makes the final grid margins slightly larger; printer unprintable areas still vary.
Yes. Every linked PDF, SVG, worksheet and answer is free without signup. The original Zumola resources use CC BY 4.0: credit Zumola, link the license and indicate changes. Analytics consent is not required to download or use them.
Each square is 5 mm along both edges, so a run of four squares is 20 mm on paper. A drawing scale turns paper length into real length: at 1:20, 20 mm on paper represents 400 mm in reality, because 20 × 20 = 400. Keep the two ideas separate. The grid fixes paper distance; the scale fixes what that distance means.
Choose a scale that makes the real object fit the sheet with a margin. If the real object is 1.2 m long and the scale is 1:20, the drawing is 1200 ÷ 20 = 60 mm, or 12 squares. Check that this fits inside the usable area before drawing anything else.
Printing can shrink or enlarge a page slightly, so confirm the grid before trusting measurements. A calibration bar is a printed length with a stated value; measure it with a ruler and compare. If the bar reads short or long, the print scaling is wrong, not the grid design.
Do not adjust the drawing to compensate for a bad print. Reprint at 100% and re-measure the bar. Only then count squares as millimetres.
A metric plan has more than one acceptable appearance: line weight, label placement and shading are choices. Judge the measurable parts separately from the presentational parts. A drawing can be tidy but dimensionally wrong, or plain but accurate.
Use the rubric below to score construction and presentation independently, so a neat but mis-scaled plan does not pass on appearance alone.
Draw a rectangular plan 900 mm by 600 mm at 1:30 on 5 mm paper, with a 150 mm wide opening on the long side.
Divide by 30: 900 ÷ 30 = 30 mm and 600 ÷ 30 = 20 mm on paper. In squares: 30 ÷ 5 = 6 squares long, 20 ÷ 5 = 4 squares wide. The opening is 150 ÷ 30 = 5 mm, one square, placed along the long side. Check the boundary measures 30 mm by 20 mm with a ruler after printing at 100% and confirming the calibration bar.
One metre is 1000 mm; divided by 50 gives 20 mm on paper, which is four 5 mm squares.
Yes, if the feature genuinely falls at 2.5 mm. Mark it clearly and state the measurement rather than relying on the eye.
Reduce the real dimensions shown or choose a larger scale factor, then recalculate paper lengths before redrawing.
