Scholar Tests · Set 3
Math contest practice test, Grade 6
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: 23?, 7?0, 7?7. The average of the three numbers is 598. What is the sum of the three hidden digits?
- A7
- B22
- C23
- D6
- E157
- 2.
What fraction of the big square is shaded?
- A5/16
- B5/11
- C3/8
- D5/32
- E1/4
- 3.
Eli, Milo and Ben are playing, and one of them has the ball.
Eli says: "Ben does not have the ball."
Milo says: "Eli does not have the ball."
Ben says: "Eli has the ball."
Exactly one of them is telling the truth. Who has the ball?- AMilo
- BAva
- CEli
- DBen
- EFay
- 4.
How many triangles of any size are there in this figure?
- A12
- B3
- C11
- D6
- E4
- 5.
What fraction of the big square is shaded?
- A3/8
- B7/16
- C7/32
- D7/9
- E1/2
- 6.
Carlos, Fay, Yara, Sara and Uma are playing, and one of them has the ball.
Carlos says: "I do not have the ball."
Fay says: "I have the ball."
Yara says: "Uma has the ball."
Sara says: "I do not have the ball."
Uma says: "Sara does not have the ball."
Exactly one of them is telling the truth. Who has the ball?- ASara
- BCarlos
- CYara
- DFay
- EUma
- 7.
How many triangles of any size are there in this figure?
- A4
- B15
- C5
- D14
- E10
- 8.
How many triangles of any size are there in this figure?
- A9
- B6
- C15
- D16
- E7
- 9.
Sara, Fay, Zoe, Gus and Dina are playing, and one of them has the ball.
Sara says: "I do not have the ball."
Fay says: "Sara does not have the ball."
Zoe says: "I have the ball."
Gus says: "Zoe does not have the ball."
Dina says: "Zoe has the ball."
Exactly one of them is not telling the truth. Who has the ball?- AGus
- BSara
- CDina
- DFay
- EZoe
- 10.
What fraction of the big square is shaded?
- A1/2
- B3/4
- C9/16
- D9/32
- E5/8
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.