Geometry: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Geometry Test 2: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. Find the area of a rectangle whose length is 20 cm and breadth is 9 cm.
    1. 58 sq cm
    2. 184 sq cm
    3. 180 sq cm
    4. 186 sq cm

    Reference: q-10cf516b-72 · Report this question

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    Answer: C. 180 sq cm

    Area = length × breadth = 20 × 9 = 180 sq cm.
  2. 2. Find the circumference of a circle of radius 35 cm. (Take π = 22/7)
    1. 220 cm
    2. 110 cm
    3. 3,850 cm
    4. 187 cm

    Reference: q-aaeb4018-68 · Report this question

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    Answer: A. 220 cm

    Circumference = 2πr = 2 × 22/7 × 35 = 220 cm.
  3. 3. Two angles of a triangle measure 59° and 50°. Find the third angle.
    1. 19°
    2. 71°
    3. 81°
    4. 251°

    Reference: q-29f7c423-68 · Report this question

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    Answer: B. 71°

    The angles of a triangle add up to 180°. Third angle = 180° − 59° − 50° = 71°.
  4. 4. The two shorter sides of a right-angled triangle are 18 cm and 80 cm. Find the length of its hypotenuse.
    1. 98 cm
    2. 83 cm
    3. 84 cm
    4. 82 cm

    Reference: q-3ab025d2-105 · Report this question

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    Answer: D. 82 cm

    Hypotenuse = √(18² + 80²) = √6724 = 82 cm.
  5. 5. How many diagonals does a octagon (8 sides) have?
    1. 26
    2. 20
    3. 28
    4. 40

    Reference: q-bdfba20f-50 · Report this question

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    Answer: B. 20

    Number of diagonals = n(n − 3) / 2 = 8 × 5 / 2 = 20.
  6. 6. Find the volume of a cube whose edge is 6 cm.
    1. 252 cubic cm
    2. 240 cubic cm
    3. 144 cubic cm
    4. 216 cubic cm

    Reference: q-44eb39b3-46 · Report this question

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    Answer: D. 216 cubic cm

    Volume = edge³ = 6³ = 216 cubic cm.
  7. 7. Find the area of a rectangle whose length is 29 cm and breadth is 25 cm.
    1. 721 sq cm
    2. 725 sq cm
    3. 108 sq cm
    4. 723 sq cm

    Reference: q-5fe4588c-73 · Report this question

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    Answer: B. 725 sq cm

    Area = length × breadth = 29 × 25 = 725 sq cm.
  8. 8. Find the circumference of a circle of radius 28 cm. (Take π = 22/7)
    1. 176 cm
    2. 149 cm
    3. 2,464 cm
    4. 88 cm

    Reference: q-b139be46-68 · Report this question

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    Answer: A. 176 cm

    Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
  9. 9. Two angles of a triangle measure 69° and 36°. Find the third angle.
    1. 70°
    2. 75°
    3. 255°
    4. 15°

    Reference: q-62f84c0-68 · Report this question

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    Answer: B. 75°

    The angles of a triangle add up to 180°. Third angle = 180° − 69° − 36° = 75°.
  10. 10. The two shorter sides of a right-angled triangle are 24 cm and 45 cm. Find the length of its hypotenuse.
    1. 51 cm
    2. 54 cm
    3. 50 cm
    4. 69 cm

    Reference: q-9d38e906-105 · Report this question

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    Answer: A. 51 cm

    Hypotenuse = √(24² + 45²) = √2601 = 51 cm.

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