Free printable math contest practice test for Grade 7

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. B8
   3. C11
   4. D5
   5. E10
2. 2.

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

   1. AJada
   2. BNia
   3. CIvan
   4. DCarlos
   5. EEli
3. 3.

   Each of these three numbers has one digit hidden by a question mark: 30?, 7?3, 5?8. The average of the three numbers is 525. What is the sum of the three hidden digits?

   1. A10
   2. B11
   3. C64
   4. D4
   5. E12
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. A5
   2. B6
   3. C3
   4. D4
   5. E2
5. 5.

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

   1. AOmar
   2. BLena
   3. CTheo
   4. DJada
   5. EUma
6. 6.

   Use each of the digits 8, 1, 5, 9, 4 once to make the largest odd 5-digit number. What digit is in the thousands place?

   1. A1
   2. B8
   3. C4
   4. D5
   5. E9
7. 7.

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

   1. A19
   2. B10
   3. C11
   4. D20
   5. E4
8. 8.

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

   1. AUma
   2. BWes
   3. CCarlos
   4. DYara
   5. EJada
9. 9.

   Use each of the digits 5, 9, 7, 0, 1 once to make the smallest even 5-digit number. What digit is in the hundreds place?

   1. A1
   2. B5
   3. C0
   4. D7
   5. E9
10. 10.

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

    1. A15
    2. B10
    3. C14
    4. D5
    5. E4