math contest practice, Grade 8

Free printable math contest practice test for Grade 8

10 questions across every part of the test, to print and do on paper. The answers are not on the paper: enter your email and we will send the answer sheet.

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Scholar Tests · Set 3

Math contest practice test, Grade 8

Name ______________________ Date ____________

Grades 7 and 8

Circle the letter of the best answer. About 25 minutes.

  1. 1.

    Each of these three numbers has one digit hidden by a question mark: 4?2, 2?7, 89?. The average of the three numbers is 523. What is the sum of the three hidden digits?

    1. A10
    2. B4
    3. C70
    4. D0
    5. E7
  2. 2.

    Nia, Theo and Fay are playing, and one of them has the ball.
    Nia says: "Theo has the ball."
    Theo says: "I do not have the ball."
    Fay says: "Theo does not have the ball."
    Exactly one of them is telling the truth. Who has the ball?

    1. ABen
    2. BUma
    3. CTheo
    4. DNia
    5. EFay
  3. 3.

    How many triangles of any size are there in this figure?

    1. A4
    2. B3
    3. C7
    4. D5
    5. E6
  4. 4.

    A rectangle is made from 32 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?

    1. A6
    2. B2
    3. C5
    4. D3
    5. E4
  5. 5.

    How many triangles of any size are there in this figure?

    1. A12
    2. B11
    3. C6
    4. D13
    5. E8
  6. 6.

    Use each of the digits 4, 8, 0, 3, 6 once to make the smallest multiple of 5 5-digit number. What digit is in the hundreds place?

    1. A0
    2. B4
    3. C8
    4. D3
    5. E6
  7. 7.

    Ivan, Lena, Sara, Fay and Theo are playing, and one of them has the ball.
    Ivan says: "Fay has the ball."
    Lena says: "I have the ball."
    Sara says: "I do not have the ball."
    Fay says: "I have the ball."
    Theo says: "Fay does not have the ball."
    Exactly one of them is telling the truth. Who has the ball?

    1. AIvan
    2. BFay
    3. CTheo
    4. DLena
    5. ESara
  8. 8.

    How many triangles of any size are there in this figure?

    1. A6
    2. B29
    3. C15
    4. D30
    5. E14
  9. 9.

    Carlos, Kai, Omar, Uma and Ben are playing, and one of them has the ball.
    Carlos says: "Kai has the ball."
    Kai says: "I have the ball."
    Omar says: "Kai does not have the ball."
    Uma says: "Kai has the ball."
    Ben says: "I do not have the ball."
    Exactly one of them is not telling the truth. Who has the ball?

    1. AKai
    2. BOmar
    3. CBen
    4. DUma
    5. ECarlos
  10. 10.

    Each of these three numbers has one digit hidden by a question mark: ?56, 3?2, 40?. The average of the three numbers is 517. What is the sum of the three hidden digits?

    1. A3
    2. B13
    3. C19
    4. D793
    5. E7

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.