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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.

1.  

# shaded squares:

2.  

# 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

Answers


Complexity=1, Mode=ct

Count the number of shaded squares.

#ProblemCorrect AnswerYour Answer
1

# shaded squares:
Solution
There is one block of ten and 8 ones.
# Tens# Ones
18
There are 18 shaded squares.
#ProblemCorrect AnswerYour Answer
2

# shaded squares:
Solution
There is one block of ten and 4 ones.
# Tens# Ones
14
There are 14 shaded squares.

Complexity=1, Mode=eqv

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

#ProblemCorrect AnswerYour Answer
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
#ProblemCorrect AnswerYour Answer
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).

#ProblemCorrect AnswerYour Answer
111 =
11 = 1 + 1
11 = 11 + 0
11 = 10 + 1
#ProblemCorrect AnswerYour Answer
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).

#ProblemCorrect AnswerYour Answer
172 =
72 = 72 +
72 = 72 + 0
72 = 70+1+1
72 = 70 + 2
72 = 7 + 2
72 = 71 + 1
#ProblemCorrect AnswerYour Answer
231 =
31 = 31 + 0
31 = 3 + 1
31 = 30 + 1
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