Scholar Tests · Set 2
Math contest practice test, Grade 5
Name ______________________ Date ____________
Grades 5 and 6
Circle the letter of the best answer. About 25 minutes.
- 1.
Each of these three numbers has one digit hidden by a question mark: 3?6, 29?, 5?2. The average of the three numbers is 387. What is the sum of the three hidden digits?
- A18
- B2
- C4
- D63
- E9
- 2.
How many triangles of any size are there in this figure?
- A9
- B8
- C10
- D11
- E5
- 3.
Kai, Uma and Omar are playing, and one of them has the ball.
Kai says: "Uma does not have the ball."
Uma says: "Omar has the ball."
Omar says: "I have the ball."
Exactly one of them is telling the truth. Who has the ball?- AUma
- BKai
- CWes
- DOmar
- ERaj
- 4.
What fraction of the big square is shaded?
- A1/2
- B1/3
- C1/8
- D1/4
- E3/8
- 5.
What fraction of the big square is shaded?
- A1/16
- B1/8
- C1/32
- D3/32
- E1/15
- 6.
Yara, Wes, Sara, Omar and Gus are playing, and one of them has the ball.
Yara says: "Sara does not have the ball."
Wes says: "Yara has the ball."
Sara says: "I do not have the ball."
Omar says: "Wes does not have the ball."
Gus says: "Sara does not have the ball."
Exactly one of them is telling the truth. Who has the ball?- AOmar
- BYara
- CGus
- DWes
- ESara
- 7.
How many triangles of any size are there in this figure?
- A9
- B8
- C4
- D7
- E6
- 8.
How many triangles of any size are there in this figure?
- A8
- B6
- C3
- D4
- E18
- 9.
What fraction of the big square is shaded?
- A3/16
- B1/4
- C5/16
- D3/13
- E1/8
- 10.
Milo, Nia, Hana, Omar and Yara are playing, and one of them has the ball.
Milo says: "Yara has the ball."
Nia says: "Milo has the ball."
Hana says: "Nia does not have the ball."
Omar says: "Nia does not have the ball."
Yara says: "Milo does not have the ball."
Exactly one of them is not telling the truth. Who has the ball?- ANia
- BOmar
- CHana
- DMilo
- EYara
Written by Scholar Tests in the style of the published math contest question types. Not a real math contest test, and a practice score is not a real score.