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6th grade geometry

6th grade (Year 7 in England) · 16 questions · Common Core: 6.G.A.1, 6.NS.C.6, 6.NS.C.8, 6.G.A.3 · England: Y6 Measurement, KS3 Geometry, GCSE Foundation Geometry

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Date

Score/ 16

  1. Question 1

    A triangle has base 8 yd and perpendicular height 12 yd. What is its area, in yd²?

    8 yd

    Answer

  2. Question 2

    A net is made of 6 equal squares. Which solid does it fold into?

    • A. cube
    • B. hexagonal prism
    • C. tetrahedron (triangular pyramid)
    • D. square-based pyramid
  3. Question 3

    In which quadrant is the point (−1, −2)?

    • A. I
    • B. II
    • C. III
    • D. IV
  4. Question 4

    Reflect (8, −1) in the y-axis. Type the new point like (2, −3).

    xy−10−8−6−4−2246810−10−8−6−4−22468100P

    Answer

  5. Question 5

    A parallelogram has area 33 cm² and base 11 cm. What is its perpendicular height, in cm?

    Answer

  6. Question 6

    A cube has edges of 9 m. What is its total surface area, in m²?

    Answer

  7. Question 7

    A right triangle has legs of 13 yd and 4 yd. What is its area, in yd²?

    13 yd4 yd

    Answer

  8. Question 8

    A triangle has area 20 cm² and base 4 cm. What is its height, in cm?

    4 cm

    Answer

  9. Question 9

    A parallelogram has base 5 m and perpendicular height 3 m. What is its area, in m²?

    Answer

  10. Question 10

    Point A is (−7, −3). Point B is directly above A, 8 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  11. Question 11

    A trapezoid (trapezium) has parallel sides 3 cm and 10 cm, and height 2 cm. Find its area in cm².

    Answer

  12. Question 12

    A parallelogram has base 10 cm, slanted side 6 cm and perpendicular height 3 cm. Priya says the area is 60 cm². What is the correct area, in cm²?

    Answer

  13. Question 13

    A parallelogram has base 18 cm and perpendicular height 9 cm. Find its area in cm².

    Answer

  14. Question 14

    How long is the line segment from (−5, −8) to (1, −8)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  15. Question 15

    A rectangular pond is 5 m by 10 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

    Answer

  16. Question 16

    A triangle has area 45 ft² and base 10 ft. What is its height, in ft?

    Answer

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Answer key: 6th grade geometry

  1. 1. 48

  2. 2. A. cube

  3. 3. C. III

  4. 4. (−8, −1)

  5. 5. 3

  6. 6. 486

  7. 7. 26

  8. 8. 10

  9. 9. 15

  10. 10. (−7, 5)

  11. 11. 13

  12. 12. 30

  13. 13. 162

  14. 14. 6

  15. 15. 34

  16. 16. 9