This grade 5 patterns test answer key gives the full solution and the scoring guide for each of the 8 test questions on patterns and relationships.
This key gives full solutions and a scoring guide for each question of the patterns test, 20 points in total. Reward correct terms, correct pairs with the first pattern written first, and relationships that are checked against every pair of corresponding terms.
Grade 5 Patterns Test Answer Key: questions 1–5
Question 1: Generate two patterns (3 points)
- \(0, 4, 8, 12, 16\)
- \(0, 12, 24, 36, 48\)
- Each term of B is 3 times the corresponding term of A, since \(4 \to 12\), \(8 \to 24\), \(12 \to 36\), and \(16 \to 48\).
Scoring: 1 point for each correct list in (a) and (b). 1 point for “3 times ” in (c); “B is 8 more” earns 0 points because it does not hold for every pair.
Question 2: Complete the table (2 points)
- Pattern A adds 5, so the 4th term is \(10 + 5 = 15\). Pattern B adds 15, so the 3rd term is \(15 + 15 = 30\).
- Each term of B is 3 times the corresponding term of A: \(5 \to 15\), \(10 \to 30\), \(15 \to 45\), \(20 \to 60\).
Scoring: (a) 1 point for both missing terms (15 and 30). (b) 1 point for “3 times .”
Question 3: Ordered pairs and graph (3 points)
- \((0, 0), (2, 6), (4, 12), (6, 18), (8, 24)\)
- Each point is plotted by moving right the first number and up the second number.
Scoring: (a) 1 point for all five pairs with A first. (b) 2 points for plotting all five points correctly; give 1 point if three or four are correct.
Question 4: Read a graph (3 points)
- \((0, 0), (3, 1), (6, 2), (9, 3), (12, 4)\)
- Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 1.
- Each term of A is 3 times the corresponding term of B.
Scoring: (a) 1 point for all five pairs. (b) 1 point for both rules. (c) 1 point for “3 times ” (accept “B is one third of A”).
Question 5: Is it a pair? (2 points)
- \(14\) is the 8th term of A, and the 8th term of B is \(28\). Yes, \((14, 28)\) is a pair of corresponding terms.
- \(10\) is the 6th term of A, and the 6th term of B is \(20\), not \(18\). No.
Scoring: 1 point for each correct decision with a supporting reason, such as B is 2 times A.
Grade 5 Patterns Test Answer Key: questions 6–8
Question 6: Weekly savings (3 points)
- Aisha: \(0, 3, 6, 9, 12\). Ethan: \(0, 9, 18, 27, 36\).
- \((0, 0), (3, 9), (6, 18), (9, 27), (12, 36)\)
- Ethan’s amount is 3 times Aisha’s amount. When Aisha has $12, Ethan has $36.
Scoring: (a) 1 point for both lists. (b) 1 point for the pairs with Aisha first. (c) 1 point for “3 times ” and $36.
Question 7: Different starting numbers (2 points)
- Pattern A: \(1, 4, 7, 10, 13\). Pattern B: \(2, 8, 14, 20, 26\).
- \(1 \to 2\), \(4 \to 8\), \(7 \to 14\), \(10 \to 20\), \(13 \to 26\). Each term of B is 2 times the corresponding term of A.
Scoring: 1 point for each part.
Question 8: Find the mistake (2 points)
Pattern A: \(0, 5, 10, 15\). Pattern B: \(0, 10, 20, 30\).
- Mei’s idea fails for the first terms (\(0 \to 0\)) and for \(10 \to 20\), where B is 10 more. It must work for every pair.
- Each term of B is 2 times the corresponding term of A.
Scoring: (a) 1 point for a counterexample or reason. (b) 1 point for “2 times .”
Scoring summary
20 points: add the points of every question of this grade 5 patterns test answer key.
How to use this grade 5 patterns test answer key
Use this grade 5 patterns test answer key to score the test fairly and to see which skills need more practice.
See every chapter on the Grade 5 math page.
