Key takeaway: Print this grade 5 patterns test to check how well students build and compare numerical patterns in about 45 minutes. Eight questions share 20 points. Students write terms from two rules, fill a table, list ordered pairs, read a graph and correct a classmate. A separate answer key lists how the points are earned.
This test has 8 questions and is worth 20 points. It covers generating two numerical patterns from rules, finding relationships between corresponding terms, and writing and graphing ordered pairs (5.OA.B.3). Show your work, and allow about 45 minutes.
- Grade: Grade 5
- Chapter: Patterns and Relationships
- Common Core: 5.OA.B.3
- Time: 45 minutes
- Total: 20 points (Question 1: 3 pts; Question 2: 2 pts; Question 3: 3 pts; Question 4: 3 pts; Question 5: 2 pts; Question 6: 3 pts; Question 7: 2 pts; Question 8: 2 pts)
Grade 5 Patterns Test: questions 1–5
1. Generate two patterns (3 points)
Pattern A starts at 0 and follows the rule “add 4.” Pattern B starts at 0 and follows the rule “add 12.”
- Write the first five terms of pattern A. (1 point)
- Write the first five terms of pattern B. (1 point)
- Describe how corresponding terms are related. (1 point)
2. Complete the table (2 points)
Two patterns both start at 0. Complete the table.
- Find the two missing terms. (1 point)
- Describe how each term of B is related to the corresponding term of A. (1 point)
3. Ordered pairs and graph (3 points)
Pattern A starts at 0 and adds 2. Pattern B starts at 0 and adds 6.
- Write the ordered pairs formed by the first five corresponding terms. (1 point)
- Plot the five ordered pairs on the grid. (2 points)
4. Read a graph (3 points)
The graph shows points made from corresponding terms of pattern A (across) and pattern B (up).
- Write the five ordered pairs. (1 point)
- Write a rule for each pattern. (1 point)
- Describe how each term of A is related to the corresponding term of B. (1 point)
5. Is it a pair? (2 points)
Pattern A starts at 0 and adds 2. Pattern B starts at 0 and adds 4. Decide whether each ordered pair is formed by corresponding terms. Explain each answer.
- \((14, 28)\) (1 point)
- \((10, 18)\) (1 point)
Grade 5 Patterns Test: questions 6–8
6. Weekly savings (3 points)
Aisha and Ethan each start with $0. Aisha adds $3 each week. Ethan adds $9 each week.
- Write the first five amounts for each person. (1 point)
- Write the ordered pairs (Aisha, Ethan). (1 point)
- Describe the relationship. Then find how much Ethan has when Aisha has $12. (1 point)
7. Different starting numbers (2 points)
Pattern A starts at 1 and adds 3. Pattern B starts at 2 and adds 6.
- Write the first five terms of each pattern. (1 point)
- Describe how corresponding terms are related. (1 point)
8. Find the mistake (2 points)
Pattern A starts at 0 and adds 5. Pattern B starts at 0 and adds 10. Mei says, “Each term of B is 5 more than the corresponding term of A.”
- Explain why Mei is wrong. (1 point)
- State the correct relationship. (1 point)
What is on a 5th grade patterns test?
The first question gives add 4 and add 12 from 0, and students write terms and describe how B compares with A. Then a table has two missing terms. Another question forms ordered pairs from add 2 and add 6, and students graph them. A graph question shows five points and asks for the rule behind the y-values.
How can you pace the grade 5 patterns test?
Give the first two questions about 12 minutes, since they are mostly writing terms. The pair, graph and read-a-graph questions need roughly 20 minutes. The weekly savings question has Aisha adding $3 and Ethan adding $9, so spend about 8 minutes on it. Keep the final 5 minutes for the question where Mei says each B term is 5 more than A.
What habits avoid lost points?
Write the A term first in every ordered pair, because (6, 2) and (2, 6) are different points. Check the relationship against every column. Also label the axes when you graph, and use a ruler for neat grid lines.
How should you use the score afterward?
Sort lost points into wrong terms, swapped pairs and weak explanations. Then redo one question from the largest group. Later in the week, try the quiz for a quick check.
See every chapter on the Grade 5 math page.
