Adding and Subtracting Integers Quiz

How the Scales are Structured
Who Usually Takes This Test?
See How You Compare
Below is a preview of how scores are typically distributed across each scale.
Example Questions From the Test
- Negative five
- Positive twenty-three
- Positive four
- Negative fourteen
- Negative one
- Positive eight
- Negative fifteen
- Negative fourteen
- Floor three
- Floor eleven
- Floor negative eight
- Floor negative five
Adding and Subtracting Integers Quiz - Description and methodology of the test
Students who want to strengthen signed-number reasoning can use the adding and subtracting integers quiz to check how reliably they solve signed-number problems across calculations and contexts. It suits learners reviewing classroom material or preparing for further practice, functioning as an integer operations quiz that connects procedures with meaning. The result shows tested integer understanding rather than broad mathematical ability.
What This Assessment Explores
The test focuses on how learners work with positive and negative values in calculations and situations. Examples involving temperature, money, floors, sea level, scores, and number lines require both directional interpretation and accurate computation. This adding and subtracting integers online quiz presents signed-number ideas through calculation and context during review.
The question themes show what the result can help you inspect:
- Calculation shows whether you combine signed numbers accurately.
- Modeling shows whether you turn a verbal change or movement into an appropriate expression.
- Explanation shows whether you understand opposites, subtraction direction and wording, and common sign errors.
The Adding and Subtracting Integers Knowledge scale ranges from 0-16. Foundations to Review (0-6) signals core rules to revisit; Developing Knowledge (7-12) indicates growing but inconsistent command; Strong Knowledge (13-16) indicates reliable command. This educational score does not measure overall mathematical ability.
Methodology and Scientific Basis
Items present calculations, applied situations, equations, or conceptual prompts, all with four answer choices. The set includes direct operations, equivalent expressions, number-line movement, and explanations of mistakes. This structure checks procedural accuracy and whether the learner can interpret what a change means. Used for integer subtraction practice, this assessment can help identify topics worth reviewing across calculation and conceptual reasoning.
The question themes are conceptually consistent with a 2018 study by Lamb and colleagues on students’ approaches to positive and negative integer problems. Research by Makonye and Fakude in 2016 describes recurring directed-number errors, while a 2014 study by Bishop and colleagues discusses direction, opposites, and movement in integer reasoning. These studies do not validate this questionnaire or provide norms for it; the questionnaire is conceptually consistent with their themes, not a reproduction or standardized adaptation.
The result condenses responses into the scale, whose bands guide review rather than provide norms, percentile ranks, or diagnostic categories. Performance can be affected by attention, instruction, wording, and error recognition. Use the outcome to choose practice topics and revisit answer reasoning.
- Lamb, Lisa L., Jessica Pierson Bishop, Randolph A. Philipp, Ian Whitacre, and Bonnie P. Schappelle. (2018). A Cross-Sectional Investigation of Students' Reasoning About Integer Addition and Subtraction: Ways of Reasoning, Problem Types, and Flexibility. Journal for Research in Mathematics Education, 49(5), 575-613. 10.5951/jresematheduc.49.5.0575
- Makonye, Judah Paul, and Josiah Fakude. (2016). A Study of Errors and Misconceptions in the Learning of Addition and Subtraction of Directed Numbers in Grade 8. SAGE Open, 6(4), 1-10. 10.1177/2158244016671375
- Bishop, Jessica Pierson, Lisa L. Lamb, Randolph A. Philipp, Ian Whitacre, Bonnie P. Schappelle, and Melinda L. Lewis. (2014). Obstacles and Affordances for Integer Reasoning: An Analysis of Children's Thinking and the History of Mathematics. Journal for Research in Mathematics Education, 45(1), 19-61. 10.5951/jresematheduc.45.1.0019
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