IB MYP Standard Math Mock Tests 1 – 2026 Edition
IB MYP Standard Math Mock Tests 1 – April/May 2026 Exam
IB MYP Standard Math Mock Tests 1 : Prepare for the MYP exams with subject-specific Prediction questions, model answers. All topics covered.
Prepared by MYP teachers: Access our IB MYP Standard Math Mock Tests 1 Mock with model answer. Students: Practice with exam-style papers for MYP Exam
Question 1: Sets and Color Theory [8 marks]
Richard H. Pray’s color theory represents colors as sets of wavelengths. The universal set W (white) contains all visible wavelengths (4000-7000Å). Other colors are subsets of W.
Given:
• R (red) = {x: 5950Å < x < 7000Å}
• G (green) = {x: 5100Å < x < 5950Å}
• B (blue) = {x: 4000Å < x < 5100Å}
a Question 1a [2 marks] – Yellow Color Set
Yellow (Y) is the union of red (R) and green (G). Write the set notation for yellow color.
Answer/Explanation
Step 1: Identify the component sets
R = {x: 5950Å < x < 7000Å}
G = {x: 5100Å < x < 5950Å}
Step 2: Perform the union operation
Y = R ∪ G = {x: x ∈ R OR x ∈ G}
Step 3: Combine adjacent intervals
Since the intervals are adjacent (5950Å connects them), we can combine into a single interval from 5100Å to 7000Å
Final Answer:
Y = {x: 5100Å < x < 7000Å}
b Question 1b [2 marks] – Cyan Color Composition
Given C (cyan) = {x: 4000Å < x < 5950Å}, express C as a combination of other color sets.
Answer/Explanation
Analysis:
Cyan is the combination of blue and green light. Mathematically, this corresponds to the union of the blue and green sets.
B = {x: 4000Å < x < 5100Å}
G = {x: 5100Å < x < 5950Å}
The union B ∪ G covers exactly the range 4000Å to 5950Å, which matches the definition of cyan.
Key Insight:
Cyan is what you get when you combine blue and green light, hence the union of their wavelength sets.
c Question 1c [2 marks] – Magenta Composition
Express M (magenta) = {x: 4000Å < x < 5100Å or 5950Å < x < 7000Å} in terms of other color sets.
Answer/Explanation
Understanding Magenta:
Magenta is a non-spectral color that results from mixing blue and red light. In set terms, this means taking the union of the blue and red wavelength sets.
B = {x: 4000Å < x < 5100Å}
R = {x: 5950Å < x < 7000Å}
The union creates a set with two distinct intervals, matching the given definition of magenta.
Note:
Magenta is special because it doesn’t correspond to a single continuous wavelength range in the spectrum.
d Question 1d [2 marks] – Black Color Representation
Black (K) represents the absence of color. Express K in terms of the universal set W.
Answer/Explanation
Concept:
In set theory, the absence of all elements in a universal set is represented by the complement of that set (W’).
W = {x: 4000Å < x < 7000Å} (all visible light)
W’ = {x: x ≤ 4000Å or x ≥ 7000Å}
This complement represents all wavelengths not in the visible spectrum, which we perceive as black.
Physical Interpretation:
Black is what we see when no visible wavelengths are present, hence the complement of W.
Syllabus Reference
Unit 6: Statistics & Probability
- Sets, including notation and operations
- Union and intersection of sets
- Complement of sets
Assessment Criteria: C (Applying mathematical concepts to real-world contexts)