Geometry Practice Test
40 questions from 40 lessons · 80 minutes · percent score and grade · step-by-step answers
How it works
- 40 questions, about 80 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 8 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Geometry formula sheet.
1 Question 1
Angles in a triangle 50, 60, x. Find x.- A) x = 180
- B) x = 70
- C) x = 110
2 Question 2
Complementary angles 2x and 3x. Find x.Type the answer.
3 Question 3
Find the exterior angle 3x + 10, inside angles x and 50.Type the answer.
4 Question 4
The bearing of Q from P is 120°, find the bearing of P from QType the answer.
5 Question 5
Circle circumference 31.4, find the radiusType the answer.
6 Question 6
Sector radius 6, area 12π, find the angleType the answer.
7 Question 7
Find the surface area of cube side 3 cm.Type the answer.
8 Question 8
Triangle with sides 7, 24, 25: is it a right triangle?- A) Yes
- B) No
9 Question 9
Calculate 45-45-90 triangle leg 2.5Type the answer.
10 Question 10
Right angle at A, AD ⊥ BC, DC = 9, BC = 25, find ACType the answer.
11 Question 11
Are the lines parallel? co-interior angles 90 and 90- A) Parallel
- B) Not parallel
12 Question 12
Find the perimeter of parallelogram sides 6.5 m and 4 m.Type the answer.
13 Question 13
Find the area of rectangle 8 m by 5 m with a triangle on top height 2 m.Type the answer.
14 Question 14
Find the perimeter of a quarter circle radius 4 m.Type the answer.
15 Question 15
Find the volume of pyramid square base 5 height 4.Type the answer.
16 Question 16
Net of a box 6 by 4 by 3- A) 24
- B) 54
- C) 108
- D) 18
17 Question 17
Slice a cylinder radius 5 parallel to the baseType the answer.
18 Question 18
Find the volume of frustum top radius 2, bottom radius 6, height 6.Type the answer.
19 Question 19
Find the surface area of sphere radius 1 m.Type the answer.
20 Question 20
Similar solids, lengths 3 and 4, small volume 54, find the large volumeType the answer.
21 Question 21
Scale 1 : 25000, 8 cm on the mapType the answer.
22 Question 22
A 1.5 m person has a 2 m shadow, a tree has a 8 m shadow, find the height of the treeType the answer.
23 Question 23
Angle of elevation, tree 12 m tall, 20 m away, find the angleType the answer.
24 Question 24
Square pyramid base 6 height 4, angle between a slant edge and the baseType the answer.
25 Question 25
tan A = 34, find cos A- A) 9
- B) 25
- C) 45
- D) 16
26 Question 26
Find the midpoint (3, −5) (−1, 1).Type the answer.
27 Question 27
Find the perpendicular bisector of (−3, 8) and (9, −2).Type the answer.
28 Question 28
Angles in a quadrilateral 90, 110, 70, x. Find x.- A) x = 360
- B) x = 270
- C) x = 2
- D) x = 90
29 Question 29
Regular polygon interior angle 160, how many sidesType the answer.
30 Question 30
Radius 6, chord 8, find the distance from the centerType the answer.
31 Question 31
Triangles ABC and DEF: AB = DE = 6, angle A = angle D = 50, angle B = angle E = 60, find angle FType the answer.
32 Question 32
Isosceles triangle top angle 120Type the answer.
33 Question 33
Isosceles triangle perimeter 31 m, base 9 m, find the equal sidesType the answer.
34 Question 34
G is the centroid, GD = 3, find ADType the answer.
35 Question 35
Two tangents from P: PA = 3x − 1, PB = x + 7. Find x.Type the answer.
36 Question 36
Translate (2, 3) by (x, y) -> (x − 4, y + 1)- A) (−2, 4)
- B) (4, −2)
- C) (6, 4)
37 Question 37
Reflect (3, 2) in the y-axisType the answer.
38 Question 38
Rotate (2, 4) 90° clockwise about (1, 1)Type the answer.
39 Question 39
Dilate (−2, 1) by scale factor 2- A) (−4, 2)
- B) (2, −4)
- C) (0, 3)
40 Question 40
Glide reflect (4, 2): translate 2 right, then reflect in the x-axisType the answer.