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 2

Math contest practice test, Grade 8

Name ______________________ Date ____________

Grades 7 and 8

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

  1. 1.

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

    1. ABen
    2. BUma
    3. CIvan
    4. DWes
    5. EZoe
  2. 2.

    Square tiles are joined edge to edge to make flat shapes. A shape that matches another when it is turned round or flipped over is not a new shape. How many different shapes can be made from four tiles?

    1. A5
    2. B2
    3. C4
    4. D7
    5. E12
  3. 3.

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

    1. A8
    2. B7
    3. C5
    4. D4
    5. E6
  4. 4.

    Each of these three numbers has one digit hidden by a question mark: 5?1, 4?3, 6?7. The average of the three numbers is 557. What is the sum of the three hidden digits?

    1. A17
    2. B0
    3. C9
    4. D160
    5. E16
  5. 5.

    Use each of the digits 6, 3, 1, 5, 8 once to make the smallest even 5-digit number. What digit is in the tens place?

    1. A5
    2. B8
    3. C1
    4. D6
    5. E3
  6. 6.

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

    1. A9
    2. B15
    3. C6
    4. D14
    5. E5
  7. 7.

    Yara, Ava, Wes, Raj and Jada are playing, and one of them has the ball.
    Yara says: "Jada has the ball."
    Ava says: "I do not have the ball."
    Wes says: "Ava does not have the ball."
    Raj says: "I do not have the ball."
    Jada says: "Yara has the ball."
    Exactly one of them is telling the truth. Who has the ball?

    1. AWes
    2. BYara
    3. CAva
    4. DJada
    5. ERaj
  8. 8.

    Each of these three numbers has one digit hidden by a question mark: ?79, 55?, ?70. The average of the three numbers is 436. What is the sum of the three hidden digits?

    1. A13
    2. B4
    3. C2
    4. D15
    5. E609
  9. 9.

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

    1. A20
    2. B10
    3. C36
    4. D35
    5. E34
  10. 10.

    Theo, Milo, Carlos, Eli and Uma are playing, and one of them has the ball.
    Theo says: "Eli has the ball."
    Milo says: "Theo does not have the ball."
    Carlos says: "Theo does not have the ball."
    Eli says: "Milo has the ball."
    Uma says: "Eli does not have the ball."
    Exactly one of them is not telling the truth. Who has the ball?

    1. ATheo
    2. BEli
    3. CUma
    4. DCarlos
    5. EMilo

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.