Patterns and Relationships Worksheets
Apply and compare explicit arithmetic rules to inputs and sequences.
Before you begin
Use signed arithmetic, substitute values and read expressions with variables.
Worked example
Sequence A starts at 0 and adds 5 each step. Sequence B starts at 0 and adds 35 each step. What is the value of B after 5 steps?
- Sequence B adds 35 per step.
- Multiply by 5 steps.
Answer: 175
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
Sequence A starts at 0 and adds 3 each step. Sequence B starts at 0 and adds 12 each step. What is the value of B after 7 steps?
2
Sequence A starts at 0 and adds 7 each step. Sequence B starts at 0 and adds 7 each step. What is the value of B after 6 steps?
3
Sequence A starts at 0 and adds 8 each step. Sequence B starts at 0 and adds 48 each step. What is the value of B after 2 steps?
4
Sequence A starts at 0 and adds 7 each step. Sequence B starts at 0 and adds 21 each step. What is the value of B after 6 steps?
5
Sequence A starts at 0 and adds 6 each step. Sequence B starts at 0 and adds 48 each step. What is the value of B after 4 steps?
6
Sequence A starts at 0 and adds 9 each step. Sequence B starts at 0 and adds 72 each step. What is the value of B after 5 steps?
Answer Key
1. 842. 423. 964. 1265. 1926. 360