Pyramids: Error Analysis & Misconceptions
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and identifying common misconceptions about pyramids, including error analysis and problem-solving tasks.
Worksheet Preview
Full preview • 10 questions
Pyramids: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key properties of pyramids. Remember, the surface area of a pyramid includes the base area plus the areas of the triangular faces. The volume is given by (1/3) × base area × height.
B
Fluency & Practice
Answer the following questions to strengthen your procedural understanding of pyramids.
1.
Calculate the volume of a square-based pyramid with a base side of 6 cm and a height of 9 cm.
[3 marks]2.
Find the surface area of a pyramid with a triangular face slant height of 10 cm, base perimeter of 24 cm, and base area of 36 cm^2.
[3 marks]3.
If the base of a pyramid is a rectangle measuring 8 cm by 12 cm, and the height is 15 cm, what is its volume?
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems and explain your reasoning clearly.
1.
A pyramid has a square base with side length 10 cm. The slant height of each triangular face is 13 cm. Find the total surface area of the pyramid.
[4 marks]2.
A student claims that increasing the slant height of a pyramid while keeping the base fixed will always increase its volume. Is this correct? Explain your reasoning.
[3 marks]D
Real-world Applications
Apply your understanding to real-world contexts.
1.
A pyramid-shaped monument has a square base of 4 meters on each side and a vertical height of 6 meters. Calculate its volume and explain how it might be used in architecture.
[4 marks]E
Challenge & Extension
Tackle these advanced problems and explore extension topics.
1.
Construct a triangular pyramid (tetrahedron) with edge lengths of 6 cm each. Calculate its volume and compare it to a square pyramid with the same base area and height.
[4 marks]2.
Explain the common misconception that all pyramids with the same base shape and height have equal surface areas. Provide a counterexample.
[3 marks]F
Mixed Review & Error Analysis
Identify and correct the errors in the following statements about pyramids.
1.
A student states that the volume of a pyramid can be found by multiplying the base area by the height, then dividing by 2. Is this correct? If not, correct the mistake.
[2 marks]2.
A pyramid has a base area of 20 cm^2 and a height of 9 cm. The student calculates its volume as 180 cm^3. Is this correct? Why or why not?
[2 marks]Unlock Answer Keys & Remix
Worksheets are FREE to download with a free account! Upgrade to PRO for these premium features:
Answer keys for all 1,899+ worksheets
Remix tool — customize any worksheet with AI
AI Generator — create unlimited custom worksheets
Cancel anytime • No commitment • Start today
Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet