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## Understanding 11 to 19 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1, Mode=ct

Count the number of shaded squares.

### Complexity=1, Mode=eqv

Choose the tens + ones form of the number -- for example, 1X = 10 + X.

1.
 13 = 10 + 3
 13 = 1 + 3
 13 = 11 + 2
 13 = 13 + 0
 13 = 12 + 1
 13 = 10+1+1+1
2.
 12 = 11 + 1
 12 = 1 + 2
 12 = 10+1+1
 12 = 10 + 2
 12 = 12 + 0

### Complexity=1, Mode=eq

Complete the equation in the form of tens + ones (e.g., 10 + 5).

1.   11 =
 11 = 1 + 1
 11 = 11 + 0
 11 = 10 + 1
2.   14 =
 14 = 1 + 4
 14 = 14 + 0
 14 = 12 + 2
 14 = 10 + 4
 14 = 10+1+1+1+1
 14 = 11 + 3

### Complexity=2, Mode=eq

Complete the equation in the form of tens + ones (e.g., 10 + 5).

1.   72 =
 72 = 72 +
 72 = 72 + 0
 72 = 70+1+1
 72 = 70 + 2
 72 = 7 + 2
 72 = 71 + 1
2.   31 =
 31 = 31 + 0
 31 = 3 + 1
 31 = 30 + 1

### Complexity=1, Mode=ct

Count the number of shaded squares.

1

Solution
There is one block of ten and 8 ones.
 # Tens # Ones 1 8
2

Solution
There is one block of ten and 4 ones.
 # Tens # Ones 1 4

### Complexity=1, Mode=eqv

Choose the tens + ones form of the number -- for example, 1X = 10 + X.

1
 13 = 10 + 3
 13 = 1 + 3
 13 = 11 + 2
 13 = 13 + 0
 13 = 12 + 1
 13 = 10+1+1+1
Solution
 1 block of tens + 3 ones = 10 + 3 = 13
2
 12 = 11 + 1
 12 = 1 + 2
 12 = 10+1+1
 12 = 10 + 2
 12 = 12 + 0
Solution
 1 block of tens + 2 ones = 10 + 2 = 12

### Complexity=1, Mode=eq

Complete the equation in the form of tens + ones (e.g., 10 + 5).

111 =
 11 = 1 + 1
 11 = 11 + 0
 11 = 10 + 1
214 =
 14 = 1 + 4
 14 = 14 + 0
 14 = 12 + 2
 14 = 10 + 4
 14 = 10+1+1+1+1
 14 = 11 + 3

### Complexity=2, Mode=eq

Complete the equation in the form of tens + ones (e.g., 10 + 5).

172 =
 72 = 72 +
 72 = 72 + 0
 72 = 70+1+1
 72 = 70 + 2
 72 = 7 + 2
 72 = 71 + 1