y = x²: Real-world Applications in Cooking
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the quadratic function y = x² through cooking and recipe-based real-world problems, enhancing procedural skills and problem-solving.
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y = x²: Real-world Applications in Cooking
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of y when x = 3 in the equation y = x².
[1 mark]2.
Plot the point corresponding to x = -2 on the grid for y = x².
[1 mark]3.
Find y when x = 0 on the graph y = x².
[1 mark]4.
What is the value of y when x = 5?
[1 mark]B
Problem Solving & Reasoning
Answer all questions with detailed explanations.
1.
A chef measures out a teaspoon of a spice and notices it forms a parabola when plotted against the amount of ingredient added. If y = x² and x represents teaspoons added, how much spice is in the parabola at x = 4? Explain your reasoning.
[3 marks]2.
If a baking recipe adjusts the number of chocolate chips using y = x², where x is the number of tablespoons added, how many chips are added when x = 7? Show your working.
[2 marks]C
Real-world Applications
Solve these context-based problems involving y = x².
1.
A baker uses a special cake mold where the height y in centimeters is proportional to the square of the radius x in centimeters, according to y = x². What is the height of the cake if the radius is 6 cm? Describe the steps you take.
[3 marks]2.
A chef wants to double the size of a pancake that has a diameter x centimeters, following y = x². If the original pancake has a diameter of 4 cm, what will be the new diameter for the larger pancake?
[2 marks]D
Challenge & Extension
Attempt these more advanced problems. Provide detailed solutions.
1.
A recipe scaling problem: To make a larger batch, the quantity y (grams) of sugar is proportional to the square of the number of times x the recipe is doubled, with y = x². If the original amount is 50 grams at x=1, how much sugar is needed when the recipe is doubled 5 times? Show your calculations.
[3 marks]2.
A baking tray's height y (cm) increases quadratically with the length x (cm), y = x². If the tray's height at 10cm is 100cm, what is the height when the length is 15cm? Explain your reasoning.
[3 marks]E
Mixed Review
Answer these questions combining different skills related to y = x².
1.
Plot the point where x = 3 and y = 9 on the graph grid.
[1 mark]2.
Calculate y for x = -4.
[1 mark]3.
Identify and correct the mistake in plotting y = x² when a student plots the point (−3, 6).
[2 marks]F
Error Analysis
Examine these common mistakes and identify or correct them.
1.
A student claims that when x = 5, y = 20 in the graph y = x². Is this correct? Explain your reasoning and correct the mistake if necessary.
[2 marks]2.
A student plots the point (4, 16) but labels it as (4, 15). Identify and fix the labeling mistake.
[2 marks]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