Scholar Tests · Set 1
Math contest practice test, Grade 5
Name ______________________ Date ____________
Grades 5 and 6
Circle the letter of the best answer. About 25 minutes.
- 1.
What fraction of the big square is shaded?
- A4/5
- B4/9
- C5/9
- D1/3
- E2/9
- 2.
Ben, Ivan and Wes are playing, and one of them has the ball.
Ben says: "I have the ball."
Ivan says: "Wes has the ball."
Wes says: "Ben has the ball."
Exactly one of them is telling the truth. Who has the ball?- AKai
- BWes
- CPia
- DIvan
- EBen
- 3.
Each of these three numbers has one digit hidden by a question mark: 30?, 79?, 69?. The average of the three numbers is 597. What is the sum of the three hidden digits?
- A6
- B11
- C21
- D3
- E12
- 4.
How many triangles of any size are there in this figure?
- A3
- B4
- C6
- D11
- E12
- 5.
Ben, Ivan, Yara, Sara and Raj are playing, and one of them has the ball.
Ben says: "Raj does not have the ball."
Ivan says: "Ben does not have the ball."
Yara says: "Raj has the ball."
Sara says: "I have the ball."
Raj says: "Sara has the ball."
Exactly one of them is telling the truth. Who has the ball?- ARaj
- BBen
- CSara
- DYara
- EIvan
- 6.
What fraction of the big square is shaded?
- A7/16
- B7/9
- C3/8
- D7/32
- E1/2
- 7.
How many triangles of any size are there in this figure?
- A15
- B8
- C12
- D16
- E17
- 8.
What fraction of the big square is shaded?
- A11/16
- B9/16
- C5/8
- D9/32
- E1/2
- 9.
How many triangles of any size are there in this figure?
- A9
- B7
- C15
- D16
- E6
- 10.
Yara, Ava, Dina, Fay and Lena are playing, and one of them has the ball.
Yara says: "Lena does not have the ball."
Ava says: "I have the ball."
Dina says: "Yara has the ball."
Fay says: "Ava has the ball."
Lena says: "I do not have the ball."
Exactly one of them is not telling the truth. Who has the ball?- AFay
- BAva
- CYara
- DLena
- EDina
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.