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 2

Math contest practice test, Grade 7

Name ______________________ Date ____________

Grades 7 and 8

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

  1. 1.

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

    1. A9
    2. B3
    3. C8
    4. D2
    5. E5
  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. A7
    2. B5
    3. C4
    4. D2
    5. E12
  3. 3.

    Each of these three numbers has one digit hidden by a question mark: 64?, 81?, 62?. The average of the three numbers is 696. What is the sum of the three hidden digits?

    1. A21
    2. B8
    3. C18
    4. D3
    5. E19
  4. 4.

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

    1. ANia
    2. BKai
    3. CLena
    4. DPia
    5. ETheo
  5. 5.

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

    1. AJada
    2. BCarlos
    3. CMilo
    4. DYara
    5. EHana
  6. 6.

    Use each of the digits 4, 6, 0, 9, 1 once to make the largest odd 5-digit number. What digit is in the thousands place?

    1. A9
    2. B4
    3. C1
    4. D6
    5. E0
  7. 7.

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

    1. A8
    2. B10
    3. C5
    4. D9
    5. E11
  8. 8.

    Each of these three numbers has one digit hidden by a question mark: ?89, 9?7, 52?. The average of the three numbers is 600. What is the sum of the three hidden digits?

    1. A4
    2. B2
    3. C6
    4. D14
    5. E284
  9. 9.

    Omar, Sara, Ivan, Zoe and Nia are playing, and one of them has the ball.
    Omar says: "Sara does not have the ball."
    Sara says: "Ivan does not have the ball."
    Ivan says: "I have the ball."
    Zoe says: "Nia does not have the ball."
    Nia says: "Omar has the ball."
    Exactly one of them is not telling the truth. Who has the ball?

    1. AIvan
    2. BOmar
    3. CNia
    4. DSara
    5. EZoe
  10. 10.

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

    1. A34
    2. B20
    3. C10
    4. D35
    5. E36

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.