5th Grade Patterns and Ordered Pairs Test Solutions and Scoring (PDF)

5th Grade math test solutions: Patterns and Ordered Pairs – Maths PDF

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This grade 5 patterns test answers for 5th Grade covers patterns and ordered pairs (Common Core 5.OA.B.3), with a free PDF to print.

Use this answer key to grade the patterns and ordered pairs test. Each solution shows the terms, the pairs and a scoring guide for partial credit. The total is 20 points. Give full credit to a correct answer even when the student explains it in different words.

Grade 5 · Common Core State Standards: 5.OA.B.3

Grade 5 patterns test answers: worked solutions

Question 1 – Two rules [2 pts]

(a) 0, 4, 8, 12, 16

(b) 0, 8, 16, 24, 32

Scoring: 1 point for each pattern. Take off the point if the first term is not 0 or any term is wrong.

Question 2 – Ordered pairs [2 pts]

Pair the terms in the same position, with the A term first.

\((0, 0), (6, 2), (12, 4), (18, 6), (24, 8)\)

Scoring: 2 points for all five pairs correct. 1 point for three or four correct pairs, or for all pairs written with the numbers in the wrong order.

Question 3 – Relationship [2 pts]

A: 0, 2, 4, 6. B: 0, 10, 20, 30. Each B term is \(10\div2=5\) times the A term, because \(10=5\times2\), \(20=5\times4\), \(30=5\times6\).

Answer: each B term is 5 times the A term

Scoring: 1 point for listing the terms, 1 point for the correct relationship (5 times).

Question 4 – Graph the pattern [3 pts]

(a) A: 0, 2, 4, 6. B: 0, 3, 6, 9. Pairs: \((0, 0), (2, 3), (4, 6), (6, 9)\).

(b) Plot each pair: right the first number, up the second.

Solution graph.

Scoring: (a) 1 point for four correct pairs. (b) 2 points for four correct points; 1 point for two or three correct points.

Question 5 – Missing terms [2 pts]

A adds 5: \(10+5=15\).

B adds 15: \(15+15=30\).

Answer: 15 and 30

Scoring: 1 point for each missing number.

Question 6 – Read the graph [2 pts]

First numbers: 0, 3, 6, 9: start at 0, add 3. Second numbers: 0, 2, 4, 6: start at 0, add 2.

Next pair: first 12, second \(6+2=8\). Answer: 8

The next point is (12,8).

Scoring: 1 point for both rules, 1 point for 8.

Question 7 – Lemonade stand [3 pts]

(a) Pitchers: 0, 1, 2, 3, 4. Cups: 0, 8, 16, 24, 32. Pairs: \((0, 0), (1, 8), (2, 16), (3, 24), (4, 32)\).

(b) Cups are 8 times the pitchers: \(7\times8=56\). Noah makes 56 cups.

Scoring: (a) 2 points for all five pairs, 1 point for four correct. (b) 1 point.

Question 8 – Reading pages [3 pts]

(a) Minutes add 10 and pages add 4. After 50 minutes she has read 20 pages. After 60 minutes: \(16+4=20\), \(20+4=24\). Answer: 24 pages.

(b) Pages 16, 20: the next pair is \((50, 20)\). Answer: 50 minutes.

Extended table.

Scoring: (a) 1 point. (b) 2 points: 1 for continuing the pattern correctly, 1 for 50.

Question 9 – Is the pair correct? [1 pt]

A: 0, 6, 12. B: 0, 10, 20. When A is 12, B is 20, not 18.

Answer: No, the correct pair is \((12, 20)\).

Scoring: 1 point for “no” with a correct reason.

Total score

Total

20 points

Key facts behind this grade 5 patterns test answers

Key facts

Each number in a pattern is called a term.
Corresponding terms are the terms in the same position in two patterns.
In an ordered pair (x, y), x tells how far right and y tells how far up.
If one pattern adds twice as much as the other, its terms are twice as large.
Points from patterns that add the same amount each time lie on a straight line.

How to use this grade 5 patterns test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

Download the grade 5 patterns test answers as a PDF with the button below and keep it with your notes.

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