Scholar Tests · Set 3
Math contest practice test, Grade 5
Name ______________________ Date ____________
Grades 5 and 6
Circle the letter of the best answer. About 25 minutes.
- 1.
How many triangles of any size are there in this figure?
- A3
- B4
- C6
- D5
- E7
- 2.
What fraction of the big square is shaded?
- A1/3
- B3/8
- C1/2
- D1/8
- E1/4
- 3.
Each of these three numbers has one digit hidden by a question mark: 52?, 1?4, 86?. The average of the three numbers is 521. What is the sum of the three hidden digits?
- A79
- B3
- C6
- D16
- E8
- 4.
Ivan, Theo and Zoe are playing, and one of them has the ball.
Ivan says: "Zoe does not have the ball."
Theo says: "Zoe does not have the ball."
Zoe says: "I have the ball."
Exactly one of them is telling the truth. Who has the ball?- ADina
- BUma
- CTheo
- DZoe
- EIvan
- 5.
What fraction of the big square is shaded?
- A1/3
- B1/4
- C3/16
- D5/16
- E1/8
- 6.
How many triangles of any size are there in this figure?
- A9
- B5
- C8
- D2
- E3
- 7.
Nia, Ivan, Dina, Gus and Jada are playing, and one of them has the ball.
Nia says: "Dina does not have the ball."
Ivan says: "I have the ball."
Dina says: "Jada does not have the ball."
Gus says: "Nia has the ball."
Jada says: "I have the ball."
Exactly one of them is telling the truth. Who has the ball?- ANia
- BDina
- CJada
- DGus
- EIvan
- 8.
How many triangles of any size are there in this figure?
- A15
- B5
- C30
- D29
- E6
- 9.
Wes, Fay, Kai, Sara and Lena are playing, and one of them has the ball.
Wes says: "Lena does not have the ball."
Fay says: "Wes does not have the ball."
Kai says: "Sara has the ball."
Sara says: "Wes has the ball."
Lena says: "I do not have the ball."
Exactly one of them is not telling the truth. Who has the ball?- ALena
- BFay
- CKai
- DSara
- EWes
- 10.
What fraction of the big square is shaded?
- A5/8
- B23/32
- C3/4
- D11/16
- E11/32
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.