a^(m/n): Real-world Applications in Cooking & Recipes

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the application of fractional indices, a^(m/n), in cooking and recipes, with a focus on procedural mastery and real-world problem solving.

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Full preview • 11 questions

a^(m/n): Real-world Applications in Cooking & Recipes

Subject: MathematicsGrade: Grade 8
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 8^{2/3}.
[2 marks]
2.
Simplify the expression 16^{3/4}.
[2 marks]
3.
Calculate (64)^{1/2}.
[2 marks]
4.
Construct a triangle where one side length is proportional to 27^{2/3} meters. Estimate the length.
[3 marks]
5.
If a recipe calls for 3^{4/3} cups of sugar, what is the approximate amount needed?
[3 marks]
6.
Find the value of 125^{2/3}.
[2 marks]
7.
A cake recipe requires the ingredient in proportion to 64^{3/4} cups. Calculate the amount needed.
[3 marks]
8.
A chef needs 81^{1/4} liters of a solution. Determine this volume.
[2 marks]
9.
Calculate the value of (256)^{3/8}.
[2 marks]
10.
A smoothie recipe requires the fruit amount proportional to 125^{2/5}. What is the approximate quantity?
[3 marks]
11.
A common mistake is to calculate 8^{2/3} as (8^2)/3. Identify and explain the error.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet