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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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Score/ 16

  1. Question 1

    A shape is made by joining two cuboids. One is 7 cm × 5 cm × 3 cm and the other is 2 cm × 3 cm × 4 cm. What is the total volume?

    Answer

  2. Question 2

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

    xy12345678910123456789100A

    Answer

  3. Question 3

    A triangle has one angle of 90°. What type of triangle is it?

    • A. isosceles
    • B. equilateral
    • C. right-angled
    • D. scalene
  4. Question 4

    How far apart are (1, 1) and (9, 1), in grid units?

    xy12345678910123456789100PR

    Answer

  5. Question 5

    An isosceles triangle has a top angle of 26°. The two base angles are equal. What is each base angle?

    ??26°

    Answer

  6. Question 6

    Three angles sit on a straight line: 63°, 55° and y. Find y.

    Answer

  7. Question 7

    What is the name for the distance from the centre to the edge?

    • A. radius
    • B. diameter
    • C. circumference
  8. Question 8

    A triangle has sides of 11 cm, 11 cm, 11 cm. What type of triangle is it?

    11 cm11 cm11 cm
    • A. equilateral
    • B. isosceles
    • C. scalene
  9. Question 9

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

    Answer

  10. Question 10

    A fish tank has a base area of 30 dm² and holds 120 dm³ of water when full. How deep is the water when the tank is full, in dm?

    Answer

  11. Question 11

    On a straight line there are three angles: 82°, x and x (the two x angles are equal). Find x.

    Answer

  12. Question 12

    A parallelogram has one angle of 61°. Opposite angles are equal. What is the size of each of the other two angles?

    Answer

  13. Question 13

    An L-shape is made from a big rectangle, 9 m by 5 m, with a small rectangle, 6 m by 3 m, cut from one corner. What is its area?

    Answer

  14. Question 14

    Two straight lines cross. One of the angles is 78°. What is the angle vertically opposite it?

    Answer

  15. Question 15

    A triangle's corner moves from (4, 4) to (5, 5). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  16. Question 16

    An equilateral triangle has a perimeter of 45 cm. How long is each side?

    Answer

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Answer key: 5th grade geometry

  1. 1. 129

  2. 2. (2, 8)

  3. 3. C. right-angled

  4. 4. 8

  5. 5. 77

  6. 6. 62

  7. 7. A. radius

  8. 8. A. equilateral

  9. 9. 1800

  10. 10. 4

  11. 11. 49

  12. 12. 119

  13. 13. 27

  14. 14. 78

  15. 15. 1

  16. 16. 15