End-of-Year Test - Grade 7 Answers

Oct 4, 2026

Answer key for an End-of-Year Grade 7 mathematics test aligned to moving into Algebra 1. Includes guidance on readiness thresholds for Algebra 1 based on performance in integers, rational numbers, and algebra, plus recommendations for addressing weak areas. States which geometry items exceed 7th grade Common Core standards and clarifies calculator permissions by section. Provides point allocations by question across sections and supplies sample solutions and answer-check notes for problem sets spanning integers, rational numbers, algebra, ratios/proportions/percent, geometry, probability, and statistics.

LanguageEnglish

CategoryExam

FormatPDF

Pages13

Reading Time33 min

AccessFree to download

Integers

Rational Numbers

Algebra

Ratios, Proportions, and Percent

Geometry

Probability

Statistics

End-of-Year Test, Grade 7, Answer Key If you are using this test to evaluate a student’s readiness for Algebra 1, I recommend that the student score a minimum of 80% on the first four sections (Integers through Ratios, Proportions, and Percent) . The subtotal for those is 120 points. Ascore of 96 points is 80% . I also recommend that the teacher or parent review with the student any content areas in which the student may be weak. Students scoring between 70% and 80% in the first four sections may also continue to Algebra 1, depending on the types of errors (careless errors or not remembering something, versus a lack of understanding). Use your judgment. You can use the last three sections to evaluate the student’s mastery of topics in Math Mammoth Grade 7 Curriculum. However, mastery of those sections is not essential for a student’s success in an Algebra 1 course. The two geometry problems marked with an asterisk (*) are beyond the Common Core Standards for 7th grade. A calculator is not allowed for the first three sections of the test: Integers, Rational Numbers, and Algebra. A basic calculator is allowed for the last four sections of the test: Ratios, Proportions, and Percent; Geometry, Probability, and Statistics. My suggestion for points per item is as follows. | Question \# | Max. points | Student score | | --- | --- | --- | | Integers | | | |
1 2 points
2 2 points | | | | | | | | 3 | 2 points | | | 4a-f | 6 points | | | 4g-i | 6 points | | | 5 | 2 points | | | 6 | 2 points | | | 7 | 3 points | | | subtotal | | / 25 | | Rational Numbers | | | |
8 3 points
9 3 points | | | | | | | | 10 | 4 points | | | 11 | 4 points | | | 12 | 6 points | | | 13 | 2 points | | | 14 | 4 points | | | subtotal | | / 26 | | Algebra | | | |
15 6 points
16 3 points | | | | | | | | 17 | 8 points | | | 18 | 12 points | | | 19 | 2 points | | | Question \# | Max. points | Student score | | --- | --- | --- | | 20 | 2 points | | | 21 | 4 points | | | 22a | 2 points | | | 22b | 1 point | | | subtotal | | / 40 | | Ratios, Proportions, and Percent | | | |
23 4 points | | | | 24a | 1 point | | | 24b | 2 points | | | 24c | 1 point | | | 24d | 1 point | | | 25a | 1 point | | | 25b | 2 points | | | 26 | Proportion: 1 point
Solution: 2 points | | | 27 | 2 points | | | 28 | 2 points | | | 29 | 2 points | | | 30 | 2 points | | | 31 | 2 points | | | 32 | 2 points | | | 33 | 2 points | | | subtotal | | / 29 | | SUBTOTAL FOR THE FIRST FOUR SECTIONS: | | /120 | Question \# Max. points Student score Geometry 34a 2 points 34b 2 points 35 3 points 36 2 points 37a 2 points 37b 2 points 37c 1 point 38 2 points 39a 1 points 39b 3 points 40 2 points 41 2 points 42 3 points 43a 2 points 43b 2 points 44 3 points 45a 2 points 45b 1 point 46a 1 point 46b 1 point 47a 1 point 47b 1 point subtotal / 41 | Question \# | | Max. points | Student score | | --- | --- | --- | --- | | Probability | | | | |
48 3 points
49a 2 points | | | | | | | | | | 49b | 1 point | | | | 49c | 1 point | | | | 49d | 1 point | | | | 50 | 3 points | | | | 51 | 3 points | | | | subtotal | | | /14 | | Statistics | | | | |
52 2 points
53a 1 point | | | | | | | | | | 53b | 2 points | | | | 53c | 2 points | | | | 54 | 2 points | | | | 55a | 1 point | | | | 55b | 1 point | | | | 55c | 1 point | | | | subtotal | | | /12 | | | | | | | SUBTOTAL FOR THE
LAST THREE SECTIONS: | | | /67 | | | | | | | TOTAL | | | /187 | Integers 1. Answers will vary. Check the student’s answer. −15 + 10 = −5. For example: A fish swimming at a depth of 15 ft rose 10 ft, and now it is 5 ft below the surface. Or, Mary owed her mom $15. She paid back $10 of her debt, and now she only owes her mom $5. Or, the temperature was −15° . It rose 10 degrees and now the temperature is −5° . 2. Answers will vary. Check the student’s answer.

FAQs

How is Algebra 1 readiness determined from this Grade 7 test?

Students are recommended to score at least 80% on the first four sections (Integers through Ratios, Proportions, and Percent). A score of 96 points corresponds to 80%. Students scoring 70%–80% may continue depending on the error types and teacher/parent judgment.

Which parts of the test allow a calculator?

A calculator is not allowed for the first three sections: Integers, Rational Numbers, and Algebra. A basic calculator is allowed for the last four sections: Ratios, Proportions, and Percent; Geometry; Probability; and Statistics.

Are any geometry questions beyond the Grade 7 standards?

Yes. The two geometry problems marked with an asterisk (*) are beyond the Common Core Standards for 7th grade.

Oct 4, 2026

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