Math Practice Problems - Arithmetic Word Problems

Arithmetic Word Problems - 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=5, Mode=1

Answer these word problems.

1.	Suppose you start out with 22 coins. At your request, Jack then decides to triple your quantity of coins. How many coins do you now have?
2.	Suppose you start out with 14 stamps. At your request, John then decides to quadruple your quantity of stamps. How many stamps do you now have?

Complexity=8, Mode=2

Answer these word problems.

1.	Suppose you start out with 8 baseball cards. Jose then takes half of your baseball cards. At your request, Jane then decides to quadruple your quantity of baseball cards. How many baseball cards do you now have?
2.	Suppose you start out with 8 jelly beans. At your request, George then decides to triple your quantity of jelly beans. Then, because you're nice, you give John 3 jelly beans. How many jelly beans do you now have?

Complexity=10, Mode=3

Answer these word problems.

1.	Suppose you start out with 21 pencils. At your request, Alice then decides to quadruple your quantity of pencils. Jose then takes half of your pencils. At your request, Lisa then decides to quadruple your quantity of pencils. How many pencils do you now have?
2.	Suppose you start out with 24 baseball cards. Then, because you're nice, you give Jeff 8 baseball cards. Ben ends up giving you another 17 baseball cards. Isabel ends up giving you another 16 baseball cards. How many baseball cards do you now have?

Complexity=20, Mode=4

Answer these word problems.

1.	Suppose you start out with 9 balls. Christine then takes half of one less than the number of balls you have. At your request, Jeff then decides to quadruple your quantity of balls. Then, because you're nice, you give Sam 2 balls. Christine ends up giving you another 12 balls. How many balls do you now have?
2.	Suppose you start out with 14 marbles. Sam then takes half of your marbles. At your request, George then decides to triple your quantity of marbles. Then, because you're nice, you give Patricia 9 marbles. Then, because you're nice, you give Daphne 7 marbles. How many marbles do you now have?

Answers

Complexity=5, Mode=1

Answer these word problems.

#	Problem	Correct Answer	Your Answer
1	Suppose you start out with 22 coins. At your request, Jack then decides to triple your quantity of coins. How many coins do you now have?
Solution You begin with 22 coins. Jack triples the number of coins you have: 22 × 3 = 66 coins.

#	Problem	Correct Answer	Your Answer
2	Suppose you start out with 14 stamps. At your request, John then decides to quadruple your quantity of stamps. How many stamps do you now have?
Solution You begin with 14 stamps. John quadruples the number of stamps you have: 14 × 4 = 56 stamps.

Complexity=8, Mode=2

Answer these word problems.

#	Problem	Correct Answer	Your Answer
1	Suppose you start out with 8 baseball cards. Jose then takes half of your baseball cards. At your request, Jane then decides to quadruple your quantity of baseball cards. How many baseball cards do you now have?
Solution You begin with 8 baseball cards. Jose takes half of the number of baseball cards you have: 8 - (8 ÷ 2) = 8 - 4 = 4. Jane quadruples the number of baseball cards you have: 4 × 4 = 16 baseball cards.

#	Problem	Correct Answer	Your Answer
2	Suppose you start out with 8 jelly beans. At your request, George then decides to triple your quantity of jelly beans. Then, because you're nice, you give John 3 jelly beans. How many jelly beans do you now have?
Solution You begin with 8 jelly beans. George triples the number of jelly beans you have: 8 × 3 = 24 jelly beans. John takes 3 jelly beans from you: 24 - 3 = 21 jelly beans.

Complexity=10, Mode=3

Answer these word problems.

#	Problem	Correct Answer	Your Answer
1	Suppose you start out with 21 pencils. At your request, Alice then decides to quadruple your quantity of pencils. Jose then takes half of your pencils. At your request, Lisa then decides to quadruple your quantity of pencils. How many pencils do you now have?
Solution You begin with 21 pencils. Alice quadruples the number of pencils you have: 21 × 4 = 84 pencils. Jose takes half of the number of pencils you have: 84 - (84 ÷ 2) = 84 - 42 = 42. Lisa quadruples the number of pencils you have: 42 × 4 = 168 pencils.

#	Problem	Correct Answer	Your Answer
2	Suppose you start out with 24 baseball cards. Then, because you're nice, you give Jeff 8 baseball cards. Ben ends up giving you another 17 baseball cards. Isabel ends up giving you another 16 baseball cards. How many baseball cards do you now have?
Solution You begin with 24 baseball cards. Jeff takes 8 baseball cards from you: 24 - 8 = 16 baseball cards. Ben gives you 17 baseball cards: 16 + 17 = 33 baseball cards. Isabel gives you 16 baseball cards: 33 + 16 = 49 baseball cards.

Complexity=20, Mode=4

Answer these word problems.

#	Problem	Correct Answer	Your Answer
1	Suppose you start out with 9 balls. Christine then takes half of one less than the number of balls you have. At your request, Jeff then decides to quadruple your quantity of balls. Then, because you're nice, you give Sam 2 balls. Christine ends up giving you another 12 balls. How many balls do you now have?
Solution You begin with 9 balls. Christine takes half of one less than the number of balls you have: 9 - ((9 - 1) ÷ 2) = 9 - 4 = 5. Jeff quadruples the number of balls you have: 5 × 4 = 20 balls. Sam takes 2 balls from you: 20 - 2 = 18 balls. Christine gives you 12 balls: 18 + 12 = 30 balls.

#	Problem	Correct Answer	Your Answer
2	Suppose you start out with 14 marbles. Sam then takes half of your marbles. At your request, George then decides to triple your quantity of marbles. Then, because you're nice, you give Patricia 9 marbles. Then, because you're nice, you give Daphne 7 marbles. How many marbles do you now have?
Solution You begin with 14 marbles. Sam takes half of the number of marbles you have: 14 - (14 ÷ 2) = 14 - 7 = 7. George triples the number of marbles you have: 7 × 3 = 21 marbles. Patricia takes 9 marbles from you: 21 - 9 = 12 marbles. Daphne takes 7 marbles from you: 12 - 7 = 5 marbles.

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