Scholar Tests · Set 1
Math contest practice test, Grade 8
Name ______________________ Date ____________
Grades 7 and 8
Circle the letter of the best answer. About 25 minutes.
- 1.
Jada, Wes and Nia are playing, and one of them has the ball.
Jada says: "Nia has the ball."
Wes says: "Nia does not have the ball."
Nia says: "Wes does not have the ball."
Exactly one of them is telling the truth. Who has the ball?- AHana
- BRaj
- CJada
- DWes
- ENia
- 2.
A rectangle is made from 36 square tiles, with none left over. A square counts as a rectangle, and a rectangle that is only turned on its side is still the same rectangle. How many different rectangles can be made?
- A4
- B6
- C9
- D7
- E5
- 3.
Each of these three numbers has one digit hidden by a question mark: 5?8, 63?, 5?0. The average of the three numbers is 575. What is the sum of the three hidden digits?
- A87
- B5
- C17
- D3
- E15
- 4.
How many triangles of any size are there in this figure?
- A7
- B10
- C5
- D4
- E9
- 5.
Use each of the digits 5, 6, 8, 0, 2 once to make the smallest even 5-digit number. What digit is in the tens place?
- A8
- B0
- C5
- D2
- E6
- 6.
How many triangles of any size are there in this figure?
- A20
- B19
- C5
- D10
- E4
- 7.
Lena, Omar, Hana, Uma and Raj are playing, and one of them has the ball.
Lena says: "Raj has the ball."
Omar says: "Uma does not have the ball."
Hana says: "Raj has the ball."
Uma says: "Lena does not have the ball."
Raj says: "Uma has the ball."
Exactly one of them is telling the truth. Who has the ball?- AHana
- BOmar
- CRaj
- DUma
- ELena
- 8.
Theo, Yara, Omar, Zoe and Kai are playing, and one of them has the ball.
Theo says: "I do not have the ball."
Yara says: "I do not have the ball."
Omar says: "Zoe has the ball."
Zoe says: "Omar does not have the ball."
Kai says: "Omar has the ball."
Exactly one of them is not telling the truth. Who has the ball?- ATheo
- BYara
- CKai
- DZoe
- EOmar
- 9.
Use each of the digits 2, 8, 0, 6, 9 once to make the smallest multiple of 5 5-digit number. What digit is in the thousands place?
- A6
- B9
- C8
- D2
- E0
- 10.
How many triangles of any size are there in this figure?
- A11
- B20
- C6
- D7
- E21
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.