math contest practice, Grade 7

Free printable math contest practice test for Grade 7

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 1

Math contest practice test, Grade 7

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: 2?1, 5?2, 1?7. The average of the three numbers is 320. What is the sum of the three hidden digits?

    1. A1
    2. B8
    3. C5
    4. D150
    5. E15
  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. A12
    2. B5
    3. C7
    4. D4
    5. E2
  3. 3.

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

    1. A3
    2. B4
    3. C8
    4. D9
    5. E7
  4. 4.

    Eli, Carlos and Zoe are playing, and one of them has the ball.
    Eli says: "Carlos has the ball."
    Carlos says: "I have the ball."
    Zoe says: "Eli has the ball."
    Exactly one of them is telling the truth. Who has the ball?

    1. AZoe
    2. BMilo
    3. CEli
    4. DCarlos
    5. ELena
  5. 5.

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

    1. AMilo
    2. BPia
    3. CBen
    4. DGus
    5. ELena
  6. 6.

    Use each of the digits 2, 8, 0, 7, 1 once to make the largest odd 5-digit number. What digit is in the thousands place?

    1. A7
    2. B0
    3. C1
    4. D8
    5. E2
  7. 7.

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

    1. A4
    2. B10
    3. C15
    4. D14
    5. E5
  8. 8.

    Use each of the digits 2, 0, 5, 3, 6 once to make the smallest even 5-digit number. What digit is in the tens place?

    1. A0
    2. B3
    3. C6
    4. D2
    5. E5
  9. 9.

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

    1. A14
    2. B15
    3. C4
    4. D5
    5. E10
  10. 10.

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

    1. AOmar
    2. BMilo
    3. CNia
    4. DEli
    5. EFay

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.