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5th grade geometry

5th grade (Year 6 in England) · 16 questions · Common Core: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5, 5.G.A.1 · England: Y5 Measurement, Y6 Measurement, Y4 Geometry

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Date

Score/ 16

  1. Question 1

    An isosceles triangle has two equal base angles of 83° each. What is the third angle, in degrees?

    Answer

  2. Question 2

    A square has corners at (3, 6), (6, 6) and (6, 9). What is the fourth corner?

    xy12345678910123456789100(3, 6)(6, 6)(6, 9)

    Answer

  3. Question 3

    Sofia's treasure is at point A on the grid. What are its coordinates? Type them like (3, 5).

    xy12345678910123456789100A

    Answer

  4. Question 4

    Ethan builds a cuboid from unit cubes: 3 cubes long, 4 cubes wide and 2 cubes tall. How many cubes does Ethan use?

    Answer

  5. Question 5

    A circle has a radius of 12 cm. What is its diameter?

    12 cm

    Answer

  6. Question 6

    A box is 6 ft long, 5 ft wide and 8 ft high. What is its volume, in ft³?

    Answer

  7. Question 7

    A quadrilateral has angles of 107°, 122°, 61° and x. Find x.

    Answer

  8. Question 8

    Reflect the point (5, 2) in the vertical line x = 7. Where is its image?

    xy12345678910123456789100P

    Answer

  9. Question 9

    ABCD is a rectangle. A(5, 1), C(8, 5), D(5, 5). What are the coordinates of B?

    xy12345678910123456789100ACD

    Answer

  10. Question 10

    Start at (7, 7). Move 1 right and 2 up. Where are you now? Type it like (3, 5).

    xy12345678910123456789100S

    Answer

  11. Question 11

    A fish tank has a base area of 20 dm² and holds 160 dm³ of water when full. How deep is the water when the tank is full, in dm?

    Answer

  12. Question 12

    A rectangle has opposite corners at (4, 4) and (8, 7). What is its perimeter in grid units?

    xy12345678910123456789100

    Answer

  13. Question 13

    An L-shape is made from a big rectangle, 6 m by 7 m, with a small rectangle, 2 m by 3 m, cut from one corner. What is its area?

    Answer

  14. Question 14

    An equilateral triangle has a perimeter of 30 cm. How long is each side?

    Answer

  15. Question 15

    A cuboid has a volume of 48 cm³. Its length is 6 cm and its width is 2 cm. What is its height?

    Answer

  16. Question 16

    What do the interior angles of a hexagon add up to?

    Answer

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Answer key: 5th grade geometry

  1. 1. 14

  2. 2. (3, 9)

  3. 3. (9, 0)

  4. 4. 24

  5. 5. 24

  6. 6. 240

  7. 7. 70

  8. 8. (9, 2)

  9. 9. (8, 1)

  10. 10. (8, 9)

  11. 11. 8

  12. 12. 14

  13. 13. 36

  14. 14. 10

  15. 15. 4

  16. 16. 720