Grid Method: Real-world Applications in Engineering
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying the Grid Method for multiplication in engineering contexts, designed for GCSE Higher students.
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Grid Method: Real-world Applications in Engineering
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Use the Grid Method to calculate 47 × 36. Show your breakdown in the grid.
[2 marks]2.
Calculate 52 × 29 using the grid method. Write your partial products and final answer.
[2 marks]3.
Multiply 48 by 35 employing the grid technique and record all steps.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems related to engineering scenarios. Show all working clearly.
1.
An engineer needs to produce 46 components in one batch. Each component costs £29 to produce. Calculate the total cost using the grid method.
[3 marks]2.
A construction project requires 53 meters of wiring, and each meter costs £36. Find the total cost of wiring, showing your grid calculation.
[3 marks]3.
An engineer orders 48 units of steel beams, each weighing 27 kg. Calculate the total weight using the grid method.
[3 marks]C
Real-world Applications
Apply the grid method to solve the following engineering-related word problems. Show all steps.
1.
A factory produces 44 units of a product per day. If each unit takes up 27 square meters of space, calculate the total space used in a week.
[3 marks]2.
An engineer designs 49 circuits, each requiring 36 resistors. Find the total number of resistors needed for all circuits.
[2 marks]D
Challenge & Extension
Tackle these advanced problems. Show detailed working and reasoning.
1.
A machine produces 45 parts every hour. Over 8 hours, how many parts are produced? Use the grid method to find the total.
[3 marks]2.
An engineer needs to assemble 58 modules, each requiring 37 screws. Calculate the total number of screws needed, showing your grid work.
[3 marks]E
Mixed Review
Answer the following questions to reinforce your understanding of the grid method.
1.
Multiply 49 by 32 using the grid method. Show all your steps.
[2 marks]2.
Construct a grid to multiply 53 by 27. Write out each partial product and the final answer.
[2 marks]F
Error Analysis
Below are common mistakes made when using the grid method. Identify the mistake and correct it.
1.
A student calculated 46 × 29 and obtained 124 not 1334. What mistake might they have made? Correct the error.
[2 marks]2.
A learner wrote 48 × 35 = 1685. Find the mistake and recalculate the correct answer using the grid method.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet