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7th Math: Ratios & Proportional Relationships 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

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About the 7th Math: Ratios & Proportional Relationships exam

Common Core State Standards (CCSS) — Mathematics, Grade 7: Ratios and Proportional Relationships (7.RP.A.1-3). Public standards from corestandards.org.

CoStudy's 7th Math: Ratios & Proportional Relationships 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: Ratios & Proportional Relationships 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: Ratios & Proportional Relationships practice questions

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

Find the unit rate: 1/4 mile in 1/8 hour.

  1. 2 mph
  2. 1/2 mph
  3. 1/32 mph
  4. 4 mph

Answer: A — 2 mph

A) (1/4) ÷ (1/8) = (1/4)·8 = 2 mph. B) Reciprocated. C) Multiplied instead of dividing. D) Doubled the time, not divided.

A 20% discount on a $75 item saves:

  1. $25
  2. $55
  3. $15
  4. $20

Answer: C — $15

C) 0.20 · 75 = $15. A) Used 33%. B) Used remaining price minus 20. D) Used the 20% as $20.

In a proportional relationship, doubling x:

  1. Has no effect on y
  2. Doubles y
  3. Halves y
  4. Squares y

Answer: B — Doubles y

B) In y = kx, replacing x with 2x gives y = k(2x) = 2(kx). A) Wrong; y depends on x. C) Inverse relationship, not proportional. D) Quadratic relationship, not proportional.

Convert 60 mph to km/h (1 mi ≈ 1.6 km):

  1. 6 km/h
  2. 60 km/h
  3. 96 km/h
  4. 600 km/h

Answer: C — 96 km/h

C) 60·1.6. A/B/D) Each is incorrect.

A salesperson earns a 6% commission on $4,500 in sales. The commission is:

  1. $270.00
  2. $27.00
  3. $750.00
  4. $2,700.00

Answer: A — $270.00

A) 0.06 × $4,500 = $270. B) Decimal misplaced. C) Used 1/6, not 6%. D) Decimal misplaced upward.

If 4 books cost $20, the cost per book (constant of proportionality) is:

  1. $5
  2. $4
  3. $0.20
  4. $20

Answer: A — $5

A) $20 / 4 = $5. B) Used the count. C) Took the reciprocal. D) Used the total.

If 8 ounces of juice cost $1.60, the unit price per ounce is:

  1. $0.20
  2. $0.80
  3. $2.00
  4. $1.60

Answer: A — $0.20

A) $1.60 ÷ 8 = $0.20. B) Off by a factor of 4. C) Misplaced decimal. D) Total cost.

A 6-pack of soda costs $4.20. The cost of one can is:

  1. $0.70
  2. $0.42
  3. $0.84
  4. $1.05

Answer: A — $0.70

A) $4.20 ÷ 6 = $0.70. B) Decimal shifted. C) Used 5 cans. D) Used 4 cans.

A blueprint scale is 1/4 inch = 1 foot. A wall measuring 3 inches on the blueprint is how many feet long in reality?

  1. 0.75 ft
  2. 3 ft
  3. 12 ft
  4. 24 ft

Answer: C — 12 ft

C) 3 ÷ (1/4) = 3 × 4 = 12 feet. A) Multiplied 3 × 1/4. B) Used scale numerator. D) Doubled.

Map scale 1 inch = 50 miles. 2.5 inches represents:

  1. 100 miles
  2. 125 miles
  3. 150 miles
  4. 250 miles

Answer: B — 125 miles

B) 2.5 · 50. A/C/D) Each is incorrect.

Convert 2 km to meters:

  1. 20
  2. 200
  3. 2,000
  4. 20,000

Answer: C — 2,000

C) 1 km = 1000 m. A/B/D) Each is incorrect.

If 6 oranges cost $3, how much will 10 oranges cost (proportional pricing)?

  1. $4
  2. $5
  3. $7
  4. $13

Answer: B — $5

Unit price = $0.50/orange. 10 × $0.50 = $5. (A), (C), (D) miscalculate.

7th Math: Ratios & Proportional Relationships flashcards

6 sample cards from the 85 in the bank.

In y = 0.75x, if y = 6, what's x?

8. (x = y/k = 6/0.75 = 8.)

Calculate 18% tip on a $35 dinner.

$6.30.

How do you calculate sales tax?

Tax = price × tax rate (as decimal). Total = price + tax.

A jacket marked up 20% over a $40 cost — final price?

$48.

What is the 'constant of proportionality' (k)?

The ratio between two proportional quantities. y/x = k. For y = 5x, k = 5.

5% of $20 is what?

$1.

Practise the full 7th Math: Ratios & Proportional Relationships 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.

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7th Math: Ratios & Proportional Relationships — frequently asked

What is the 7th Math: Ratios & Proportional Relationships exam?

Common Core State Standards (CCSS) — Mathematics, Grade 7: Ratios and Proportional Relationships (7.RP.A.1-3). Public standards from corestandards.org.

How is CoStudy’s 7th Math: Ratios & Proportional Relationships bank organised?

It holds 235 items across 4 chapters: Computing Unit Rates with Complex Fractions; Recognizing Proportional Relationships; Constant of Proportionality (Equations and Graphs); Percent Problems: Discount, Tax, Markup, Interest. 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: Ratios & Proportional Relationships 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: Ratios & Proportional Relationships 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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