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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

Name

Date

Score/ 16

  1. Question 1

    A parallelogram has base 20 cm and perpendicular height 11 cm. What is its area, in cm²?

    Answer

  2. Question 2

    An L-shaped room is a 11 m by 9 m rectangle with a 7 m by 6 m rectangle missing from one corner. What is its floor area, in m²?

    Answer

  3. Question 3

    Find the surface area of a cuboid 5 cm long, 9 cm wide and 4 cm tall, in cm².

    Answer

  4. Question 4

    A cuboid has edges 2/3 m, 6 m and 3 m. Find its volume in m³ as a fraction or mixed number.

    Answer(as a fraction)

  5. Question 5

    P (−4, 4) is reflected to P′ (−4, −4). How was it reflected?

    xy−10−8−6−4−2246810−10−8−6−4−22468100PP′
    • A. In the x-axis
    • B. In the y-axis
    • C. In both axes, one after the other

  6. Question 6

    A storage box with no lid is 6 dm long, 3 dm wide and 2 dm tall. How much card is needed to make it, in dm²?

    Answer

  7. Question 7

    A right triangle has legs b and 11 m. Its area is 77 m². Find b, in m.

    b11 m

    Answer

  8. Question 8

    Lucia marks a point P on the grid. What are its coordinates? Type them like (−3, 5).

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

    Answer

  9. Question 9

    A parallelogram has base 10 m and perpendicular height 12 m. Find its area in m².

    Answer

  10. Question 10

    A trapezoid has area 88 cm² and parallel sides 7 cm and 9 cm. What is its height, in cm?

    Answer

  11. Question 11

    A triangle has area 16.5 cm² and base 11 cm. What is its height, in cm?

    11 cm

    Answer

  12. Question 12

    What is the distance between (−2, 1) and (3, 1)?

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

    Answer

  13. Question 13

    A rectangle has vertices (−7, −2), (2, −2), (2, 6) and (−7, 6). What is its area, in square units?

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

    Answer

  14. Question 14

    A cube has edges of 7 yd. What is its total surface area, in yd²?

    Answer

  15. Question 15

    Reflect (4, 2) in the x-axis. Type the new point like (2, −3).

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

    Answer

  16. Question 16

    A net is made of 1 square and 4 triangles. Which solid does it fold into?

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

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  1. 220
  2. 57
  3. 202
  4. 12
  5. In the x-axis
  6. 54
  7. 14
  8. (6, 1)
  9. 120
  10. 11
  11. 3
  12. 5
  13. 72
  14. 294
  15. (4, −2)
  16. square-based pyramid