Home › Certifications › 7th Math: The Number System
150 multiple-choice questions and 85 flashcards, organised into 4 chapters, written to the Common Core State Standards blueprint. Every question carries a full rationale.
Study 7th Math: The Number System in CoStudy →
Common Core State Standards (CCSS) — Mathematics, Grade 7: The Number System (7.NS.A.1-3). Public standards from corestandards.org.
CoStudy's 7th Math: The Number System bank holds 235 items organised into 4 chapters that follow the published blueprint. Every multiple-choice question carries a written rationale explaining why the correct answer is correct and why each distractor is tempting but wrong.
Each chapter follows a domain of the published exam outline. Practise one on its own:
A sample of 12 multiple-choice questions from the bank, with the full rationale shown.
The decimal form of 1/3 is:
Answer: A — 0.333… (repeating)
A) 1 ÷ 3 = 0.333… B) Misread numerator/denominator. C) Off by a digit. D) Inserted an extra leading 1.
Compute: 0 ÷ 5
Answer: C — 0
C) 0 divided is 0. A) 5/0 undefined. B/D) Each is incorrect.
−2 × 3/4 =
Answer: A — −3/2
A) −6/4 = −3/2. B/C/D) Each is incorrect.
A baker uses 1/2 cup flour for one cake. For 5 cakes:
Answer: C — 5/2 cups (2.5)
5 × (1/2) = 5/2 = 2.5 cups. (B), (A), (D) misapply.
What is 2.5 + (−7.5)?
Answer: B — −5
2.5 − 7.5 = −5. (A), (C), (D) misread.
A terminating decimal like 0.25 equals which fraction?
Answer: C — 1/4
C) 0.25 = 25/100 = 1/4. A) That's 0.20. B) Equals 2.5. D) Whole number.
On a number line, which is greater: −3 or −5?
Answer: B — −3
B) −3 is to the right of −5. A/C/D) Each is incorrect.
A temperature reads 12°F, then drops 20°F. New temperature:
Answer: B — −8°F
12 − 20 = −8°F. (A), (C), (D) misread.
Word: Bank balance −$28; deposit $40. New balance:
Answer: D — $12
D) −28 + 40 = 12. A) Sign. B/C) Added magnitudes.
Compute: |−4| + |6 − 9|
Answer: B — 7
B) 4 + |−3| = 4 + 3 = 7. A) Sign error. C) Subtracted. D) Used 9.
Compute: (−4) × (−5)
Answer: D — 20
D) Neg × neg = pos. A/B/C) Each is incorrect.
Word: −$48 debt split equally among 4 people. Each owes:
Answer: B — −$12
B) −48/4 = −12. A) Forgot sign. C/D) Added.
6 sample cards from the 85 in the bank.
Worked example: Distance between −3 and 7 on the number line
Step 1: Distance formula: |a − b|. Step 2: |−3 − 7| = |−10| = 10. Step 3: (Check: from −3 up to 0 is 3 units; 0 up to 7 is 7 units; 3 + 7 = 10.) Answer: 10 units.
What is a 'terminating decimal'?
A decimal that ends. Like 0.5, 0.25, 0.875.
What is (−1/2) ÷ 4?
−1/8.
What is 2/3 − (−1/2)?
7/6 (or 1 1/6). (2/3 + 1/2 = 4/6 + 3/6 = 7/6.)
What is 5/8 + (−7/8)?
−2/8 = −1/4.
What is −4.2 × 3?
−12.6.
These samples are a small slice. The full bank runs flashcards, multiple choice and timed mock exams with per-chapter progress tracking, on the web and in the iOS app.
Open 7th Math: The Number System →
The 7th Math: The Number System bank holds 235 items: 150 multiple-choice questions, 85 flashcards. 18 of them are on this page to read free, with no signup.
Yes. Every multiple-choice item carries a written rationale that states the controlling principle behind the correct answer and then addresses each wrong option in turn — why it tempts and precisely where it fails. Knowing why the plausible answer was wrong is worth more than knowing which letter was right.
It is organised into 4 chapters that follow the published exam blueprint: Adding and Subtracting Rational Numbers; Multiplying and Dividing Rational Numbers; Operations with Rational Numbers in Real-World Problems; Decimal Form of Rational Numbers (Terminating and Repeating). The number of questions in each chapter is proportional to that domain's published weight, so working through the bank exposes you to roughly the mix the real exam uses.
Common Core State Standards (CCSS) — Mathematics, Grade 7: The Number System (7.NS.A.1-3). Public standards from corestandards.org.
The samples on this page are free to read in full, rationales included, with no account. The complete 235-item bank, the timed mock exams and per-chapter progress tracking are part of CoStudy on the web and in the iOS app.
Last reviewed 2026-08-22. Banks are written against the certifying body's published exam outline and re-checked when that outline changes — exams get renumbered, retired and reweighted, and a bank written to a superseded outline teaches the wrong proportions. Figures that are re-indexed annually are deliberately not asserted as rules; the questions test the governing principle instead.