Scholar Tests · Set 1
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: 82?, 2?0, 9?9. The average of the three numbers is 686. What is the sum of the three hidden digits?
- A129
- B8
- C20
- D21
- E9
- 2.
Yara, Hana and Fay are playing, and one of them has the ball.
Yara says: "Fay has the ball."
Hana says: "I do not have the ball."
Fay says: "I do not have the ball."
Exactly one of them is telling the truth. Who has the ball?- AHana
- BFay
- CAva
- DKai
- EYara
- 3.
How many triangles of any size are there in this figure?
- A5
- B3
- C4
- D2
- E6
- 4.
What fraction of the big square is shaded?
- A1/16
- B3/16
- C1/8
- D5/32
- E1/7
- 5.
Dina, Raj, Fay, Zoe and Carlos are playing, and one of them has the ball.
Dina says: "Carlos has the ball."
Raj says: "Zoe has the ball."
Fay says: "Raj does not have the ball."
Zoe says: "Carlos does not have the ball."
Carlos says: "Zoe has the ball."
Exactly one of them is telling the truth. Who has the ball?- ADina
- BRaj
- CCarlos
- DFay
- EZoe
- 6.
What fraction of the big square is shaded?
- A11/16
- B11/32
- C5/8
- D23/32
- E3/4
- 7.
How many triangles of any size are there in this figure?
- A9
- B4
- C7
- D6
- E8
- 8.
How many triangles of any size are there in this figure?
- A4
- B5
- C10
- D30
- E11
- 9.
Ava, Milo, Kai, Nia and Omar are playing, and one of them has the ball.
Ava says: "Kai has the ball."
Milo says: "I do not have the ball."
Kai says: "Omar has the ball."
Nia says: "Kai does not have the ball."
Omar says: "Milo does not have the ball."
Exactly one of them is not telling the truth. Who has the ball?- ANia
- BMilo
- COmar
- DKai
- EAva
- 10.
What fraction of the big square is shaded?
- A1/2
- B9/32
- C9/16
- D3/4
- 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.