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7th Math: The Number System practice questions and exam guide

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.

Last reviewed 2026-10-26 · CoStudy · how we write and review questions

  • 235 total items
  • 150 multiple choice
  • 85 flashcards
  • 4 chapters

Study 7th Math: The Number System in CoStudy →

About the 7th Math: The Number System exam

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.

What the 7th Math: The Number System bank covers

Each chapter follows a domain of the published exam outline. Practise one on its own (chapter URLs are in the app and on this page for navigation; they are not sitemap targets):

Free 7th Math: The Number System practice questions

A sample of 12 multiple-choice questions from the bank, with the full rationale shown.

The decimal form of 1/3 is:

  1. 0.333… (repeating)
  2. 0.13
  3. 0.30
  4. 0.13333…

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

  1. Undefined
  2. 5
  3. 0
  4. Infinity

Answer: C — 0

C) 0 divided is 0. A) 5/0 undefined. B/D) Each is incorrect.

−2 × 3/4 =

  1. −3/2
  2. 3/2
  3. −2/3
  4. −5/4

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:

  1. 1/10 cup
  2. 5 cups
  3. 5/2 cups (2.5)
  4. 10/2 cups

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)?

  1. 5
  2. −5
  3. 10
  4. −10

Answer: B — −5

2.5 − 7.5 = −5. (A), (C), (D) misread.

A terminating decimal like 0.25 equals which fraction?

  1. 1/5
  2. 25/10
  3. 1/4
  4. 25

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?

  1. −5
  2. −3
  3. Equal
  4. Cannot compare

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:

  1. 32°F
  2. −8°F
  3. 8°F
  4. −12°F

Answer: B — −8°F

12 − 20 = −8°F. (A), (C), (D) misread.

Word: Bank balance −$28; deposit $40. New balance:

  1. −$12
  2. $68
  3. −$68
  4. $12

Answer: D — $12

D) −28 + 40 = 12. A) Sign. B/C) Added magnitudes.

Compute: |−4| + |6 − 9|

  1. −1
  2. 7
  3. 1
  4. 13

Answer: B — 7

B) 4 + |−3| = 4 + 3 = 7. A) Sign error. C) Subtracted. D) Used 9.

Compute: (−4) × (−5)

  1. −20
  2. 9
  3. −9
  4. 20

Answer: D — 20

D) Neg × neg = pos. A/B/C) Each is incorrect.

Word: −$48 debt split equally among 4 people. Each owes:

  1. $12
  2. −$12
  3. $52
  4. −$52

Answer: B — −$12

B) −48/4 = −12. A) Forgot sign. C/D) Added.

7th Math: The Number System flashcards

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.

Practise the full 7th Math: The Number System bank

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 →

7th Math: The Number System — frequently asked

What is the 7th Math: The Number System exam?

Common Core State Standards (CCSS) — Mathematics, Grade 7: The Number System (7.NS.A.1-3). Public standards from corestandards.org.

How is CoStudy’s 7th Math: The Number System bank organised?

It holds 235 items across 4 chapters: 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). Free samples on this page include the full rationale, with no account. Chapter counts in the bank are our mix; they are not a promise that the live exam uses the same item counts.

Does CoStudy replace the certifying body?

No. the certifying body owns the outline, the badge, and the sitting rules. This is independent practice with written rationales. We do not sell live items and we do not guarantee a pass.

Where do 7th Math: The Number System fees, cut scores, and pass rates live?

On the certifying body’s site. CoStudy will not invent a sitting fee or a pass rate. If a table on this page lacks a citation, treat it as unverified.

Are these real 7th Math: The Number System exam questions?

No. CoStudy does not have live items. The samples below are original practice written to the published outline, with rationales. Anyone selling “real exam dumps” is describing something you should not buy.

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