Chapter 11.1
Perimeter and area (basic shapes review)
Review area and perimeter of rectangles, triangles, parallelograms, and trapeziums.
Chapters14
2D shapes, circles, prisms, cylinders, pyramids, cones, spheres.
Time invested11 hrs
Approximate guided learning.
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Chapter 11.2
Area of compound shapes
Calculate areas by breaking complex shapes into simpler components.
Chapter 11.3
Circles - circumference
Use C = πd and C = 2πr to find the circumference of circles.
Chapter 11.4
Circles - area
Use A = πr² to calculate the area of circles and solve problems.
Chapter 11.5
Arc length and sector area
Calculate arc lengths and sector areas using angle ratios and π.
Chapter 11.6
Volume of cuboids and prisms
Find volumes using V = area of cross-section × length.
Chapter 11.7
Surface area of prisms
Calculate total surface areas by summing all face areas.
Chapter 11.8
Volume of cylinders
Use V = πr²h to find the volume of cylinders.
Chapter 11.9
Surface area of cylinders
Calculate curved surface area and total surface area of cylinders.
Chapter 11.10
Volume of pyramids and cones
Use V = ⅓ × base area × height for pyramids and cones (Higher tier).
Chapter 11.11
Surface area of pyramids and cones
Calculate curved surface areas using slant height (Higher tier).
Chapter 11.12
Volume and surface area of spheres
Use V = 4/3πr³ and SA = 4πr² for sphere calculations (Higher tier).
Chapter 11.13
Frustums
Calculate volumes of frustums by subtracting cones or pyramids (Higher tier).
Chapter 11.14
Compound 3D shapes (GCSE)
Solve complex problems involving combinations of 3D shapes.
Next steps
Ready for statistics and probability? Continue to Section 12, or revisit Section 10 for transformations and vectors.