Chapter 7, Shapes and Patterns, looks at how triangles are classified by their sides and angles, which flat shapes can tile a surface without gaps (tessellation), and the faces, edges and corners of solid (3D) shapes. These questions revisit those ideas with quick checks.
Practice Questions
Q1. A triangle has all three sides of different lengths. What type of triangle is it?
It is a scalene triangle.
Q2. A triangle has two equal sides and two equal angles. What is it called?
It is an isosceles triangle.
Q3. Which of these shapes tessellates on its own with no gaps: circles, squares, or regular pentagons?
Squares tessellate perfectly; circles and regular pentagons leave gaps when placed side by side alone.
Q4. How many faces does a cube have, and what shape is each face?
A cube has 6 faces, and each one is a square.
Q5. A triangle has one angle of exactly 90°. What is it called?
It is a right-angled triangle.
Why These Help
Recognising triangle types and tessellating patterns trains the eye to spot structure in tiles, textiles, honeycombs and building designs, while naming the faces of solids builds the vocabulary needed for later work on volume and surface area.
Frequently Asked Questions
Q. What does tessellation mean?
It means covering a flat surface completely with repeated copies of one or more shapes, leaving no gaps and no overlaps.
See the Chapter 7 Solutions and Revision Notes for the full walkthrough.
