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6th Math: Ratios & Proportional Relationships practice questions and exam guide

150 multiple-choice questions and 85 flashcards, organised into 5 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
  • 5 chapters

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About the 6th Math: Ratios & Proportional Relationships exam

Common Core State Standards (CCSS) — Mathematics, Grade 6: Ratios and Proportional Relationships (6.RP.A.1, 6.RP.A.2, 6.RP.A.3a-d). Public standards from corestandards.org.

CoStudy's 6th Math: Ratios & Proportional Relationships bank holds 235 items organised into 5 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 6th 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 6th Math: Ratios & Proportional Relationships practice questions

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

A 20% tip on a $35 meal is:

  1. $5
  2. $7
  3. $35
  4. $4

Answer: B — $7

B) 0.20 · 35 = 7. A/C/D) Each is incorrect.

A snail moves 30 cm per minute. How many meters does it move in 1 hour?

  1. 0.3 m
  2. 1.8 m
  3. 18 m
  4. 1800 m

Answer: C — 18 m

30 cm/min × 60 min = 1800 cm = 18 m. (A), (B), (D) misapply.

Which is NOT a way to write a ratio of 5 to 8?

  1. 5:8
  2. 5 to 8
  3. 5/8
  4. 5 − 8

Answer: D — 5 − 8

D) Ratio is NOT subtraction. A), B), C) are the three standard forms.

The ratio 18:24 in simplest form is:

  1. 9:12
  2. 6:8
  3. 3:4
  4. 2:3

Answer: C — 3:4

GCF(18,24) = 6; 18÷6:24÷6 = 3:4. (A), (B) are still reducible; (D) is incorrect arithmetic.

A $24 shirt has 7% sales tax. The total cost is:

  1. $1.68
  2. $24.07
  3. $25.68
  4. $31.00

Answer: C — $25.68

C) Tax = $24 × 0.07 = $1.68; total = 24 + 1.68 = $25.68. A) Only the tax. B) Added 7 cents (wrong place value). D) Added $7.

Ratio 3:5 of boys to girls. Total 16 students. Boys =

  1. 3
  2. 6
  3. 10
  4. 8

Answer: B — 6

B) Total parts 8; 3/8 × 16 = 6. A/C/D) Each is incorrect.

Tip 20% on $25 bill:

  1. $4
  2. $5
  3. $6
  4. $20

Answer: B — $5

B) 0.20·25. A/C/D) Each is incorrect.

"Best buy" — compare $4 for 8 oz vs $5 for 16 oz:

  1. 8 oz is cheaper per oz
  2. 16 oz is cheaper per oz
  3. Equal
  4. Cannot tell

Answer: B — 16 oz is cheaper per oz

B) $0.50 vs $0.3125 per oz. A/C/D) Each is incorrect.

A jacket originally costs $80. It is on sale for 25% off. What is the sale price?

  1. $60
  2. $20
  3. $55
  4. $100

Answer: A — $60

Discount = 25% × 80 = $20. Sale price = 80 − 20 = $60. (B) is the discount, not the sale price; (C), (D) misapply.

A 6% sales tax on $50 item adds:

  1. $3
  2. $5
  3. $6
  4. $0.50

Answer: A — $3

A) 0.06 · 50 = 3. B/C/D) Each is incorrect.

In a survey, 36 of 60 students prefer pizza. What percent prefer pizza?

  1. 36%
  2. 60%
  3. 40%
  4. 96%

Answer: B — 60%

36 ÷ 60 = 0.60 = 60%. (A), (C), (D) are common errors.

If the ratio of cats to dogs is 4:3 and there are 12 cats, how many dogs are there?

  1. 9
  2. 16
  3. 7
  4. 12

Answer: A — 9

A) Scale by 3: 12 cats means 4 → 12 (× 3), so dogs = 3 · 3 = 9. B) Added 4 to the cat count. C) Used the sum 4 + 3. D) Reused the cat count.

6th Math: Ratios & Proportional Relationships flashcards

6 sample cards from the 85 in the bank.

At 60 mph, how far in 3 hours?

180 miles. (60 × 3.)

What percent of 200 is 50?

25%.

If the ratio of A:B = 5:3 and total = 40, how many of each?

A = 25, B = 15. (5+3=8 parts; 40÷8=5; A=5×5=25, B=3×5=15.)

Going from $50 to $60: percent increase?

20%. (10/50 × 100 = 20.)

Worked example: A recipe calls for 3/4 cup of sugar. You want to double the recipe. How much sugar?

Step 1: Identify the operation. Doubling means multiplying by 2. Step 2: Multiply 3/4 by 2. 3/4 · 2 = 6/4. Step 3: Simplify the result. 6/4 = 3/2 = 1 1/2 cups. Answer: 1 1/2 cups of sugar. Check: half of 1 1/2 = 3/4 ✓

Word: A test has 50 questions. You got 40 right. What percent?

80%.

Practise the full 6th 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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6th Math: Ratios & Proportional Relationships — frequently asked

What is the 6th Math: Ratios & Proportional Relationships exam?

Common Core State Standards (CCSS) — Mathematics, Grade 6: Ratios and Proportional Relationships (6.RP.A.1, 6.RP.A.2, 6.RP.A.3a-d). Public standards from corestandards.org.

How is CoStudy’s 6th Math: Ratios & Proportional Relationships bank organised?

It holds 235 items across 5 chapters: Understanding Ratios; Unit Rates and Rate Reasoning; Equivalent Ratios: Tables, Tape Diagrams, Double Number Lines; Percent as a Ratio per Hundred; Real-World Ratio Reasoning and Measurement Conversions. 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 6th 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 6th 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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