IB MYP Extended Math Mock Test 2 – 2026 Edition
IB MYP Extended Math Mock Test 2 – April/May 2026 Exam
IB MYP Extended Math Mock Test 2: Prepare for the MYP exams with subject-specific Prediction questions, model answers. All topics covered.
Prepared by MYP teachers: Access our IB MYP Extended Math Mock Test 2 Mock with model answer. Students: Practice with exam-style papers for MYP Exam
Question 1: Knowing and Understanding [4 marks]
In this task (questions 1 to 5), you will interact with different aspects of form using a variety of related concepts. This task focuses on criterion A (Knowing and understanding) and criterion C (Communication).
Find the relationship between the size of pizza and the number of pepperonis.
An IB MYP student recorded the number of pepperonis for different sizes of pizza for a statistics project. The data is recorded in the following table.
| Type of Pizza | Radius | Pepperoni count |
|---|---|---|
| Personal | 4″ | 12 |
| Medium | 6″ | 27 |
| Large | 7″ | 37 |
| Extra Large | 8″ | 48 |
a Question 1a [1 mark] – Select the Correct Option
Select the correct option from the following options:
- A. The pepperoni count is directly proportional to radius.
- B. The pepperoni count is inversely proportional to radius.
- C. The pepperoni count is directly proportional to the square of radius.
- D. The pepperoni count is inversely proportional to the square root of radius.
▶️Answer/Explanation
Step 1: Understand proportionality
– Direct proportionality to radius: \( P = k \cdot r \)
– Inverse proportionality to radius: \( P = k / r \)
– Direct proportionality to square of radius: \( P = k \cdot r^2 \) (related to area since \( A = \pi r^2 \))
– Inverse proportionality to square root: \( P = k / \sqrt{r} \)
Step 2: Test with data
Calculate \( P / r^2 \) to check if it’s constant (indicating \( P \propto r^2 \)):
- Personal: \( 12 / 4^2 = 12 / 16 = 0.75 \)
- Medium: \( 27 / 6^2 = 27 / 36 = 0.75 \)
- Large: \( 37 / 7^2 = 37 / 49 \approx 0.755 \)
- Extra Large: \( 48 / 8^2 = 48 / 64 = 0.75 \)
The ratio \( P / r^2 \) is approximately constant (~0.75), suggesting the pepperoni count is proportional to the square of the radius (area of the pizza).
Step 3: Verify other options
– \( P / r \) (direct): 12/4 = 3, 27/6 = 4.5 (not constant)
– \( P \cdot r \) (inverse): 12 × 4 = 48, 27 × 6 = 162 (not constant)
– \( P \cdot \sqrt{r} \) (inverse sqrt): 12 × 2 = 24, 27 × 2.45 ≈ 66 (not constant)
Final Answer:
C. The pepperoni count is directly proportional to the square of radius.
b Question 1b [2 marks] – Determine Pepperoni Count Formula
Determine the pepperoni count \( (P) \) in terms of the radius \( (r) \) of pizza.
▶️Answer/Explanation
Step 1: Establish the relationship
From Q1a, \( P \propto r^2 \), so \( P = k \cdot r^2 \), where \( k \) is the constant of proportionality.
Step 2: Calculate \( k \) using data
Use any data point, e.g., Personal pizza:
\( 12 = k \cdot 4^2 \)
\( 12 = k \cdot 16 \)
\( k = 12 / 16 = 0.75 \)
Step 3: Verify with other points
- Medium: \( P = 0.75 \cdot 6^2 = 0.75 \cdot 36 = 27 \) (matches)
- Large: \( P = 0.75 \cdot 7^2 = 0.75 \cdot 49 = 36.75 \approx 37 \) (close)
- Extra Large: \( P = 0.75 \cdot 8^2 = 0.75 \cdot 64 = 48 \) (matches)
The slight variation (e.g., 36.75 vs. 37) may be due to rounding or practical pizza-making constraints, but \( k = 0.75 \) fits well.
Step 4: Write the formula
\( P = 0.75 r^2 \)
Final Answer:
\( P = 0.75 r^2 \)
c Question 1c [1 mark] – Estimate Pepperoni Count
The pizzeria launched a new 10″ pizza. Estimate the pepperoni count for this new pizza.
▶️Answer/Explanation
Step 1: Use the formula from Q1b
\( P = 0.75 r^2 \)
Step 2: Substitute \( r = 10 \)
\( P = 0.75 \cdot 10^2 \)
\( P = 0.75 \cdot 100 \)
\( P = 75 \)
Step 3: Interpret the result
Since pepperoni count must be a whole number, and the formula has been consistent with given data, we estimate 75 pepperonis.
Final Answer:
75 pepperonis
Syllabus Reference
Unit 1: Number
- Proportionality
- Estimation
Unit 2: Algebra
- Formulating equations
- Substitution
Assessment Criteria: A (Knowing and understanding), C (Communication)