Geometry practice
Free geometry practice for grades 1 to 8: pick a skill and answer 10 picture questions, from naming shapes to the Pythagorean theorem.
🧒 Kids: pick a skill, look at the picture and tap Check ✓! Tap Read to me to hear the question.
Ready-made practice rounds: 18 skills by grade
| Skill | What your child does | Grade |
|---|---|---|
| Name the shape | Triangle, rhombus, hexagon, semicircle and more. | 1–3 |
| Sides and vertices | Count sides and corners, and say if a shape is a polygon. | 1–3 |
| Lines, rays and segments | Line, ray, segment, parallel and perpendicular lines. | 4 |
| Types of triangles | Equilateral, isosceles, scalene; acute, right, obtuse. | 4–5 |
| Quadrilaterals | Use the tick marks and arrows to name the shape. | 3–5 |
| Types of angles | Acute, right, obtuse, straight and reflex. | 4 |
| Read a protractor | Read the angle on a drawn protractor. | 4 |
| Missing angles | Triangles, straight lines, around a point, vertical angles. | 4–8 |
| Area and perimeter | Rectangles and squares with labelled sides. | 3–4 |
| Composite shapes | Area and perimeter of L shapes. | 3–6 |
| Triangles, parallelograms, trapezoids | Area with base and height, not the slanted side. | 6 |
| Circles | Radius, diameter, circumference and area with π ≈ 3.14. | 7 |
| 3D shapes | Name solids and count faces, edges and vertices. | 1–5 |
| Volume | Volume of a box: length × width × height. | 5 |
| Surface area | Add the six faces of a box. | 6 |
| Symmetry | How many lines of symmetry does the shape have? | 4 |
| Transformations | Translation, reflection or rotation on a grid. | 4–8 |
| Pythagorean theorem | Find the missing side of a right triangle. | 8 |
Each link opens the practice tool on that skill, so you can bookmark or share the one your child needs.
How to use the geometry practice
- Pick one skill. Use the grade column in the table, or start with the first skill your child finds tricky.
- Read the labels. Measurements, tick marks and arrows carry the information. A ruler on the screen won’t help.
- Say the rule out loud. “Area is length times width” or “a triangle’s angles make 180”. Saying it makes it stick.
- Read the hint after a mistake. It shows the method in one or two lines.
- Stop at 10 questions. One short round a day beats a long session once a week.
Reading the pictures
Geometry pictures use a few marks that children need to know. Tick marks on two sides mean those sides are equal. Arrows on two sides mean they are parallel.
A small square in a corner means a right angle, 90°. A dashed line in an area question is the height, which meets the base at a right angle.
For 3D shapes, dashed lines are the edges at the back that you can’t see. Count them too when you count edges.
How answers are marked
- Numbers are typed into one box, with the units shown after it. On a phone, a big number pad appears.
- Names, such as the type of triangle or angle, use big buttons.
- Circle answers use π ≈ 3.14 and are given as choices, so rounding never trips your child up.
- Angles are in degrees. Only the number is typed; the ° sign is already there.
A sensible order for practice
Geometry builds from grade 1 to grade 8. This order follows the US Common Core and the NCERT books:
- Shapes, sides and solids (1.G.A.1, 2.G.A.1): name 2D and 3D shapes and count their parts.
- Area and perimeter (3.MD.C.7, 3.MD.D.8): rectangles first, then L shapes.
- Lines, angles and symmetry (4.G.A.1–3, 4.MD.C.6): classify angles, read a protractor and find lines of symmetry.
- Triangles and quadrilaterals (4.G.A.2, 5.G.B.4): sort shapes by their sides and angles.
- Volume and area formulas (5.MD.C.5, 6.G.A.1, 6.G.A.4): boxes, triangles, parallelograms and surface area.
- Circles, angles and the Pythagorean theorem (7.G.B.4, 7.G.B.5, 8.G.B.7): the middle school formulas.
When a skill won’t stick
- Mixing up area and perimeter: area fills the inside and is measured in squares; perimeter is the fence around the outside.
- Calling a turned square a diamond: a square stays a square however it is turned. Look for 4 equal sides and 4 right angles.
- Reading the wrong scale on a protractor: start from the 0 on the arm the angle begins at, and ask “is it bigger or smaller than a right angle?”
- Using the slanted side for area: area always uses the height, the straight-up distance.
- Forgetting the hidden edges: a box has 12 edges, even though you can only see 9.
A 10-minute routine
- Minutes 1–2: find shapes in the room: a rectangle door, a circle clock, a cylinder can.
- Minutes 3–8: one round of 10 questions on the current skill.
- Minutes 9–10: one check with the area and perimeter calculator, or one real measurement with a ruler.
Geometry by grade
| Grade | What children practice | Standard |
|---|---|---|
| Grades 1–2 | Name and draw shapes, count sides and corners, split shapes into equal parts | 1.G.A, 2.G.A |
| Grade 3 | Quadrilaterals, area by counting squares and multiplying, perimeter | 3.G.A.1, 3.MD.C–D |
| Grade 4 | Lines, rays, angles, protractors, symmetry, classifying shapes | 4.G.A, 4.MD.C |
| Grade 5 | Volume of boxes, sorting shapes by their properties | 5.MD.C, 5.G.B |
| Grade 6 | Area of triangles and other polygons, surface area, volume with fractions | 6.G.A.1–4 |
| Grade 7 | Circles, angle relationships, scale drawings | 7.G.A–B |
| Grade 8 | Transformations, the Pythagorean theorem, volume of cylinders, cones and spheres | 8.G.A–C |
In India, the NCERT books teach the same ideas in chapters on shapes, symmetry, lines and angles, and perimeter and area.
For parents and teachers in the classroom
- Share a skill: add ?skill= and one of shape, sides, lines, tri, quad, angle, prot, miss, rect, comp, area2, circle, solid, vol, surf, sym, trans or pyth to the address.
- Projector friendly: big pictures and buttons work well for a whole-class warm-up.
- Private by design: no account and nothing stored online.
More geometry help
- Geometry practice: 10 picture questions on any of 18 skills, from naming shapes to the Pythagorean theorem.
- Area and perimeter calculator: six shapes, a labelled picture and every step.
- Lessons: shapes for kids · measuring angles · how to find area · how to find perimeter · how to find volume · the coordinate plane
- Worksheets: 2D shapes · types of angles · perimeter · area of rectangles · area of triangles · volume
- Charts to print: 2D shapes · 3D shapes · types of angles · area and perimeter
Back to geometry for kids · 3rd grade math · 4th grade math · 6th grade math · 8th grade math
Last reviewed
Questions parents ask
How can my child practice geometry online for free?
Use the practice tool at the top of this page. Pick a skill, such as naming shapes or finding area, and answer 10 picture questions. Every answer is marked straight away.
Which geometry skill should my child start with?
Younger children start with naming shapes, sides and vertices. Grades 3 and 4 move on to area, perimeter, angles and quadrilaterals. Grades 6 to 8 work on area formulas, volume and the Pythagorean theorem.
Are the pictures drawn to scale?
The shapes are drawn from the same numbers as the answer, so the proportions are right. Always use the labelled measurements, though, not a ruler on the screen.
Does it show how to get the answer?
Yes. After a wrong answer, a short hint shows the method, such as “Area = length × width” or “angles in a triangle add up to 180°”.
What grade is this geometry practice for?
Grades 1 to 8. Each skill in the table below has its grade, so you can choose the right one for your child.
Can teachers link to one skill?
Yes. Add ?skill= to the address, for example /geometry/practice/?skill=prot for reading a protractor. Every child gets their own random questions, with no login.