MathsFreePrintable
Geometry Problem Solving Workshop
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Geometry Problem Solving Workshop
Help Hemi plan a new post office counter area. Solve each geometry problem and show enough working to explain your reasoning. Diagrams are not drawn to scale.
Angles and shape properties
1.A triangular sign beside the counter has angles of 48° and 67°. Find the third angle.
2.Two straight roads cross on the site plan. One angle is 113°. What is the size of the vertically opposite angle, and why?
3.A shelving unit is a parallelogram in a design sketch. One interior angle is 72°. Find the other three interior angles.
Scale, similarity and measurement
4.On a floor plan, 1 cm represents 2.5 m. The counter is drawn 3.6 cm long. What is its actual length?
5.A rectangular parcel-storage area is 8 m by 5 m. Hemi enlarges its plan by a scale factor of 1.4. Find the new dimensions and the perimeter of the enlarged rectangle.
6.Two similar triangular signs have corresponding side lengths in the ratio 4:7 (small sign to large sign). The small sign has a perimeter of 28 cm. Find the large sign's perimeter.
Multi-step workshop problems
7.A four-sided counter panel has one pair of parallel sides. Its two angles along the left side are 68° and 112°. The top-right interior angle is 104°. Find the bottom-right interior angle. Explain the angle rule you use.
8.A support cable runs from the top of a 2.4 m post to a peg 1.8 m from the post's base. Treat the post and ground as perpendicular. How long is the cable? Give your answer to 1 decimal place.
9.A triangular sign has side lengths 6 cm, 8 cm and 10 cm. Hemi says it is right-angled. Is he correct? Use a calculation to justify your answer.
10.The entrance ramp rises 0.9 m over a horizontal distance of 3.6 m. Find the ramp's length to 2 decimal places, then state which theorem you used.
3 printable pages
Page 1
Page 2
Page 3
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
