Test on Understanding Mathematical Patterns and Sequences
Understanding Mathematical Patterns and Sequences for Students
Test: Number patterns
20 questions
Question 1: A pattern without a constant ratio or difference is formed when the amount added or subtracted changes with each step.
A. Ano
B. Ne
Explanation: Patterns without a constant ratio or difference occur when the number is increased or decreased by a different amount each time.
Question 2: A numeric pattern is primarily identified by repeating shapes.
A. Ano
B. Ne
Explanation: According to the study materials, a numeric pattern is defined as 'a list of numbers that follow a certain sequence or pattern'. Geometric patterns, on the other hand, are 'patterns that are repeated using shapes'. Therefore, identifying a numeric pattern by repeating shapes is incorrect.
Question 3: In an arithmetic sequence, each term (except the first term) is found by multiplying the previous term by a constant number.
A. Ano
B. Ne
Explanation: In an arithmetic sequence, the difference between one term and the next is constant, meaning each term (except the first term) is found by adding the constant to the previous term, not by multiplying.
Question 4: A basic two-line pattern table provides a way to calculate the progressions for a number pattern.
A. Ano
B. Ne
Explanation: The study materials state that a basic two-line pattern table provides a way to record the pattern that you see. It is the four-line pattern table that helps calculate the progressions for the pattern.
Question 5: In the arithmetic pattern table provided, the 'Counters added to get to next term' row indicates a constant increase of +3 for each progression.
A. Ano
B. Ne
Explanation: The arithmetic pattern table explicitly shows the 'Counters added to get to next term' as '+3' consistently across all terms, indicating a constant difference.