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6th Math: Geometry 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 6th Math: Geometry exam

Common Core State Standards (CCSS) — Mathematics, Grade 6: Geometry (6.G.A.1-4). Public standards from corestandards.org.

CoStudy's 6th Math: Geometry 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 6th Math: Geometry 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: Geometry practice questions

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

Surface area of a 4 × 3 × 2 rectangular prism:

  1. 24
  2. 26
  3. 52
  4. 13

Answer: C — 52

C) SA = 2(lw+lh+wh) = 2(12+8+6) = 52. A) Volume. B) Half. D) lw+lh+wh without doubling.

Net of a 3D figure:

  1. 2D pattern that folds into 3D figure
  2. Same as 3D
  3. Random
  4. Has no use

Answer: A — 2D pattern that folds into 3D figure

A) Definition. B/C/D) Each is incorrect.

Area of a triangle with base 12 and height 8:

  1. 48
  2. 96
  3. 20
  4. 40

Answer: A — 48

A) A = ½bh = ½(12)(8) = 48. B) Forgot the ½. C) Added base + height. D) Used a wrong factor.

Surface area of a 1 × 2 × 3 prism:

  1. 6
  2. 11
  3. 12
  4. 22

Answer: D — 22

D) 2(1·2 + 1·3 + 2·3) = 2(2+3+6) = 22. A) Volume. B) Half. C) Two faces.

Area of triangle base 10, height 6:

  1. 16
  2. 90
  3. 60
  4. 30

Answer: D — 30

D) (1/2)·10·6. A/B/C) Each is incorrect.

Perimeter of a rectangle 8 by 6:

  1. 14
  2. 28
  3. 48
  4. 56

Answer: B — 28

B) 2(8+6) = 28. A/C/D) Each is incorrect.

A rectangle has vertices (1, 2), (1, 8), (5, 8), (5, 2). Perimeter:

  1. 10
  2. 16
  3. 20
  4. 24

Answer: C — 20

Width = 4; Height = 6; P = 2(4+6) = 20. (A), (B), (D) miscalculate.

Area of a triangle with vertices (0, 0), (4, 0), (0, 3):

  1. 6
  2. 12
  3. 7
  4. 24

Answer: A — 6

A) Base 4, height 3 — area = ½(4)(3) = 6. B) Forgot the ½. C) Added base + height. D) Squared an edge.

Distance from (1, 2) to (4, 6):

  1. 3
  2. 4
  3. 5
  4. 7

Answer: C — 5

C) √(9+16). A/B/D) Each is incorrect.

A box has SA 166 sq in. If l=4, w=5, h=h, then 2(20+4h+5h) = 166. h equals:

  1. 5
  2. 6
  3. 7
  4. 8

Answer: C — 7

C) Correct — 2(20 + 4h + 5h) = 40 + 18h = 166, so 18h = 126 and h = 7. A) h = 5 gives a surface area of 130. B) h = 6 gives 148. D) h = 8 gives 184.

A box has dimensions 1/2 × 1/4 × 2/3 ft. Volume:

  1. 1/24
  2. 5/6
  3. 1/2
  4. 1/12

Answer: D — 1/12

V = (1/2)(1/4)(2/3) = 2/24 = 1/12 cu ft. (A) miscalculates; (C), (B) misapply.

A box is 10 × 4 × 6. Surface area:

  1. 240
  2. 124
  3. 248
  4. 64

Answer: C — 248

C) 2(40+60+24) = 2(124) = 248. A) Volume. B) Half (forgot to double). D) Two faces.

6th Math: Geometry flashcards

6 sample cards from the 85 in the bank.

A box is 1.5 × 2 × 3 ft. What's the volume?

9 cubic ft.

How can you tell if you have a cube?

All sides are equal length.

WORKED EXAMPLE — Volume of a box with edges ½ × ½ × 1.

STEP 1 — V = l · w · h with fractional edges. STEP 2 — Substitute l = ½, w = ½, h = 1. STEP 3 — Multiply the fractions: ½ · ½ = ¼. STEP 4 — Multiply by the third edge: ¼ · 1 = ¼. STEP 5 — Units: cubic units. (A common cube of edge ¼ would be (¼)³ = 1/64, which is different — the rule is multiply each edge separately.) ANSWER: ¼ cubic unit.

WORKED EXAMPLE — Area of a trapezoid with parallel sides 7 and 11 and height 4.

STEP 1 — Trapezoid formula: A = ½ · (b₁ + b₂) · h. STEP 2 — Add the parallel sides: 7 + 11 = 18. STEP 3 — Multiply by height: 18 · 4 = 72. STEP 4 — Take half: ½ · 72 = 36. STEP 5 — Square units. ANSWER: 36 square units.

How many faces does a triangular prism have?

5 (2 triangles + 3 rectangles).

Area of a rectangle 8 by 5?

40 square units.

Practise the full 6th Math: Geometry 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 6th Math: Geometry →

6th Math: Geometry — frequently asked

What is the 6th Math: Geometry exam?

Common Core State Standards (CCSS) — Mathematics, Grade 6: Geometry (6.G.A.1-4). Public standards from corestandards.org.

How is CoStudy’s 6th Math: Geometry bank organised?

It holds 235 items across 4 chapters: Area of Polygons (Composing and Decomposing); Volume of Right Rectangular Prisms with Fractional Edges; Polygons on the Coordinate Plane; Surface Area Using Nets. 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: Geometry 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: Geometry 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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