Geometry Practice Test

Name: ______________________   Date: __________   Score: ____ / 40

40 questions. Calculator allowed. Show your working. steplyclass.com/geometry/practice-test/

1. 1

   Angles in a triangle 50, 60, x. Find x.
   1. A) x = 180
   2. B) x = 70
   3. C) x = 110

2. 2

   Complementary angles 2x and 3x. Find x.

   Answer: ____________________

3. 3

   Find the exterior angle 3x + 10, inside angles x and 50.

   Answer: ____________________

4. 4

   The bearing of Q from P is 120°, find the bearing of P from Q

   Answer: ____________________

5. 5

   Circle circumference 31.4, find the radius

   Answer: ____________________

6. 6

   Sector radius 6, area 12π, find the angle

   Answer: ____________________

7. 7

   Find the surface area of cube side 3 cm.

   Answer: ____________________

8. 8

   Triangle with sides 7, 24, 25: is it a right triangle?
   1. A) Yes
   2. B) No

9. 9

   Calculate 45-45-90 triangle leg 2.5

   Answer: ____________________

10. 10

    Right angle at A, AD ⊥ BC, DC = 9, BC = 25, find AC

    Answer: ____________________

11. 11

    Are the lines parallel? co-interior angles 90 and 90
    1. A) Parallel
    2. B) Not parallel

12. 12

    Find the perimeter of parallelogram sides 6.5 m and 4 m.

    Answer: ____________________

13. 13

    Find the area of rectangle 8 m by 5 m with a triangle on top height 2 m.

    Answer: ____________________

14. 14

    Find the perimeter of a quarter circle radius 4 m.

    Answer: ____________________

15. 15

    Find the volume of pyramid square base 5 height 4.

    Answer: ____________________

16. 16

    Net of a box 6 by 4 by 3
    1. A) 24
    2. B) 54
    3. C) 108
    4. D) 18

17. 17

    Slice a cylinder radius 5 parallel to the base

    Answer: ____________________

18. 18

    Find the volume of frustum top radius 2, bottom radius 6, height 6.

    Answer: ____________________

19. 19

    Find the surface area of sphere radius 1 m.

    Answer: ____________________

20. 20

    Similar solids, lengths 3 and 4, small volume 54, find the large volume

    Answer: ____________________

21. 21

    Scale 1 : 25000, 8 cm on the map

    Answer: ____________________

22. 22

    A 1.5 m person has a 2 m shadow, a tree has a 8 m shadow, find the height of the tree

    Answer: ____________________

23. 23

    Angle of elevation, tree 12 m tall, 20 m away, find the angle

    Answer: ____________________

24. 24

    Square pyramid base 6 height 4, angle between a slant edge and the base

    Answer: ____________________

25. 25

    tan A = 34, find cos A
    1. A) 9
    2. B) 25
    3. C) 45
    4. D) 16

26. 26

    Find the midpoint (3, −5) (−1, 1).

    Answer: ____________________

27. 27

    Find the perpendicular bisector of (−3, 8) and (9, −2).

    Answer: ____________________

28. 28

    Angles in a quadrilateral 90, 110, 70, x. Find x.
    1. A) x = 360
    2. B) x = 270
    3. C) x = 2
    4. D) x = 90

29. 29

    Regular polygon interior angle 160, how many sides

    Answer: ____________________

30. 30

    Radius 6, chord 8, find the distance from the center

    Answer: ____________________

31. 31

    Triangles ABC and DEF: AB = DE = 6, angle A = angle D = 50, angle B = angle E = 60, find angle F

    Answer: ____________________

32. 32

    Isosceles triangle top angle 120

    Answer: ____________________

33. 33

    Isosceles triangle perimeter 31 m, base 9 m, find the equal sides

    Answer: ____________________

34. 34

    G is the centroid, GD = 3, find AD

    Answer: ____________________

35. 35

    Two tangents from P: PA = 3x − 1, PB = x + 7. Find x.

    Answer: ____________________

36. 36

    Translate (2, 3) by (x, y) -> (x − 4, y + 1)
    1. A) (−2, 4)
    2. B) (4, −2)
    3. C) (6, 4)

37. 37

    Reflect (3, 2) in the y-axis

    Answer: ____________________

38. 38

    Rotate (2, 4) 90° clockwise about (1, 1)

    Answer: ____________________

39. 39

    Dilate (−2, 1) by scale factor 2
    1. A) (−4, 2)
    2. B) (2, −4)
    3. C) (0, 3)

40. 40

    Glide reflect (4, 2): translate 2 right, then reflect in the x-axis

    Answer: ____________________