Home › Certifications › 6th Math: Ratios & Proportional Relationships › Equivalent Ratios: Tables, Tape Diagrams, Double Number Lines
26 multiple-choice questions and 12 flashcards on Equivalent Ratios: Tables, Tape Diagrams, Double Number Lines, about 17% of the 6th Math: Ratios & Proportional Relationships bank. Every one carries a written rationale.
Equivalent Ratios: Tables, Tape Diagrams, Double Number Lines is one of 5 chapters in CoStudy's 6th Math: Ratios & Proportional Relationships bank, and it holds 26 of the bank's 150 multiple-choice questions — roughly 17% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
10 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
Which is an equivalent ratio to 4:6?
Answer: A — 2:3
4:6 ÷ 2 = 2:3. (B) inverts; (C), (D) are different ratios entirely.
Which pair of ratios forms a proportion?
Answer: A — 3:7 and 6:14
A) 3:7 × 2 = 6:14 — same uniform scaling. B) Second term doesn't scale to the same factor. C) Inverse, not equivalent. D) Inverse, not equivalent.
A ratio table for 5:8 begins 5:8, 10:?, 15:?. The two missing values are:
Answer: A — 16 and 24
A) Multiply 8 by 2 and 3: 16, 24. B) Added 5 each row. C) Mixed columns. D) Reused the first column.
A ratio of 3:7. If 21 represents the first value, what does the second represent?
Answer: B — 49
21 ÷ 3 = 7 scale factor. 7 × 7 = 49. (A), (C), (D) are arithmetic errors.
Which ratio is NOT equivalent to 3:7?
Answer: C — 3:14
C) 3:14 has the same first term but a doubled second — not a uniform scaling. A) × 2. B) × 3. D) × 4.
A double number line shows 4 cups corresponds to 6 servings. How many servings for 10 cups?
Answer: A — 15
A) 4:6 unit-reduces to 1:1.5; 10 × 1.5 = 15. B) Used a 4:8 scaling (wrong ratio). C) Tripled instead of × 2.5. D) Reused the cup count.
In a fruit bowl with 5 apples and 8 oranges, the ratio of apples to oranges is:
Answer: A — 5:8
Ratio of apples to oranges = 5:8 (order matters). (B) is oranges-to-apples; (C), (D) confuse with totals.
Which ratio is NOT equivalent to 6:10?
Answer: D — 6:5
D) Only the second term was changed — not a uniform scaling. A) Reduced by 2. B) Multiplied by 2. C) Multiplied by 1.5.
A double number line shows that 10 minutes corresponds to 4 miles. How many minutes for 6 miles?
Answer: C — 15
10:4 = 2.5 min/mile, × 6 = 15 minutes. (A), (B), (D) misapply.
A recipe uses sugar:flour in a 2:5 ratio. How many cups of flour go with 8 cups of sugar?
Answer: A — 20
A) Scale by 4: 2(4):5(4) = 8:20. B) Inverted the relationship. C) Used a wrong scale factor. D) Added 8 to the wrong term.
3 cards from the 12 in this chapter.
What is the ratio 1:1 called?
Equal ratio (1 to 1). Both quantities are the same.
What is a 'tape diagram'?
A bar diagram split into equal parts to visualize ratios. Helpful for solving ratio problems.
What is the formula for percent change?
(New − Original) / Original × 100%.
These are a sample. The full Equivalent Ratios: Tables, Tape Diagrams, Double Number Lines chapter runs 38 items with per-chapter progress tracking, on the web and in the iOS app.
Open 6th Math: Ratios & Proportional Relationships in CoStudy →
All 6th Math: Ratios & Proportional Relationships practice questions →