Shape and SpaceP6 level24 questions in the full course

Classify TrianglesSEAG Practice Questions

Classifying triangles by sides (equilateral, isosceles, scalene) and by angles (right-angled, acute, obtuse).

Where your child meets this in real life: Identifying triangle types in structures, art, and design

What your child needs to know

In the SEAG test

Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks classify triangles into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Classify by Sides

    Classify triangles as equilateral, isosceles, or scalene based on the number of equal sides

  2. 2

    Classify by Angles

    Classify triangles as right-angled, acute, or obtuse based on their largest angle

  3. 3

    Dual Classification

    Describe triangles using both side and angle classifications together (e.g., 'right-angled isosceles')

Try these SEAG-style questions

Try three free questions from our classify triangles course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

The triangle shown has side lengths 9 cm, 9 cm and 13 cm. What type is it when classified by side lengths?

A triangle with two matching 9 cm sides and a 13 cm base.
Answer choices for question 1
Question 2Standard

Every angle in the triangle shown is 60°. What type of triangle is it by angles?

A rotated triangle with 60° marked at every corner.
Answer choices for question 2
Question 3Stretch

Triangle P has exactly two equal sides and angles 50°, 50° and 80°. Triangle Q has three different sides and angles 37°, 53° and 90°. Triangle R has three different sides and angles 30°, 42° and 108°. Which is acute isosceles?

Triangle P has two equal sides and angles 50°, 50°, 80°; Q has three different sides and a right angle; R has three different sides and a 108° angle.
Answer choices for question 3

Try the lesson: Classify by Sides

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Lucy is sorting triangular tiles for an art project. One tile has sides measuring 5 cm, 5 cm, and 8 cm.

What type of triangle is this tile?

5 cm, 5 cm, 8 cm

Count the equal sides
1

Look at the three side lengths: 5 cm, 5 cm, and 8 cm

Step 1 of 3

Prefer to read? See every step written out

Lucy is sorting triangular tiles for an art project. One tile has sides measuring 5 cm, 5 cm, and 8 cm.

What type of triangle is this tile?

  1. 1

    Count the equal sides

    • Look at the three side lengths: 5 cm, 5 cm, and 8 cm
    • Exactly two sides are equal (both 5 cm)
  2. 2

    Match to triangle type

    • A triangle with exactly 2 equal sides is isosceles

The tile is an isosceles triangle because it has exactly 2 equal sides.

The key insight: Count the matching sides: 3 equal = equilateral, 2 equal = isosceles, 0 equal = scalene!

Common mix-up: Calling it equilateral because two sides match. Equilateral means ALL three sides are equal, not just two.

Mistakes to watch for

These are the misconceptions we see most often in classify triangles, including the ones our practice questions are specifically designed to catch.

  • Mixing the three side-name categories instead of choosing the most specific primary classification
  • Not recognising right-angled triangles in different orientations
  • Confusing acute and obtuse

Build these skills first

Struggling with classify triangles? The real gap is often in one of these earlier topics.

More shape and space practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

24 questions on this topic alone

Master classify triangles and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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