4th Grade Number and Shape Patterns Test Solutions and Scoring (PDF)

4th Grade math test solutions: Number and Shape Patterns – Maths PDF

Cover of the book Grade 4 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 4 tests book with answer keysPrintable PDFSee the book ›

Sommaire

This grade 4 patterns test answers for 4th Grade covers number and shape patterns (Common Core 4.OA.C.5), with a free PDF to print.

Use this answer key and scoring guide to grade the number patterns test. Each solution shows the terms and the reasoning, and the scoring notes explain partial credit out of 20 points.

Grade 4 · Common Core State Standards: 4.OA.C.5

Grade 4 patterns test answers: worked solutions

Question 1 – Add 7 pattern [2 pts]

8, 15, 22, 29, 36, 43.

8, 15, 22, 29, 36, 43

Scoring: 2 points for all six terms; 1 point if one term is wrong or one is missing.

Question 2 – Doubling pattern [2 pts]

\(3 \times 2 = 6\), \(6 \times 2 = 12\), \(12 \times 2 = 24\), \(24 \times 2 = 48\).

3, 6, 12, 24, 48

Scoring: 2 points for all five terms; 1 point if the first three terms are correct.

Question 3 – Missing terms [2 pts]

Each term is 8 more than the one before. \(36 + 8 = 44\), \(44 + 8 = 52\).

Completed pattern.

Add 8; 44 and 52

Scoring: 1 point for the rule; 1 point for both missing numbers.

Question 4 – Input-output table [2 pts]

\(10 – 4 = 6\), \(12 – 4 = 8\), \(15 – 4 = 11\), \(18 – 4 = 14\), \(20 – 4 = 16\).

Completed table.

6, 8, 11, 14, 16

Scoring: 2 points for five correct outputs; 1 point for three or four correct.

Question 5 – Find the table rule [2 pts]

\(3 \times 4 = 12\), \(5 \times 4 = 20\), \(7 \times 4 = 28\), \(9 \times 4 = 36\). The rule is multiply by 4.

\(11 \times 4 = 44\).

Multiply by 4; output 44

Scoring: 1 point for the rule; 1 point for 44.

Question 6 – Toothpick squares [3 pts]

(a) 4, 7, 10: add 3 each time, starting at 4.

(b) 13, 16, 19. Six squares need 19 toothpicks.

Squares 4, 5 and 6.

(a) start at 4, add 3 (b) 19 (c) yes, 8 squares

Scoring: 1 point for each part.

Question 7 – Odd or even feature [2 pts]

5, 9, 13, 17, 21, 25.

Every term is odd, because adding an even number to an odd number always gives an odd number.

5, 9, 13, 17, 21, 25; all odd

Scoring: 1 point for the six terms; 1 point for a correct feature.

Question 8 – Flower garden rows [3 pts]

(a) 3, 7, 11, 15, 19.

(b) Continue: 23, 27, 31. Row 8 has 31 flowers.

(a) 3, 7, 11, 15, 19 (b) 31 (c) no, all rows are odd

Scoring: 1 point for each part.

Question 9 – Diego's claim [2 pts]

2, 5, 8, 11, 14, 17.

The terms alternate even, odd, even, odd. Adding 3 (an odd number) changes odd and even each time.

Diego is not correct.

Scoring: 1 point for the six terms; 1 point for a correct conclusion with a reason.

Total score

Total

20 points

Key facts behind this grade 4 patterns test answers

Key facts

A pattern rule gives a starting number and an operation to repeat.
Each number in a pattern is called a term.
Adding an odd number makes terms alternate odd and even; adding an even number keeps them all odd or all even.
In an input-output table, the same rule turns every input into its output.
Shape patterns grow by adding the same number of pieces at each step.

How to use this grade 4 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 4 patterns test answers as a PDF with the button below and keep it with your notes.

All Grade 4 chapters: Grade 4 math.

Voter.. post

Free printable PDF