Place Value
These problems offer a variety of ways to review and expand the notion of place value. The problems utilize words and symbols. They ask children to be able to recognize place values into the thousands. They also check to see if students have made the connection of the power and ease of the base ten system. Can they raise a number by 10 or 100. Can they lower a number by 1000? Finally do they know the terminology of expanded notation, value, digit, more than, less than.
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1. 1 ten + 3 ones =
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2. 11 = __ tens + ___ ones
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3. In the number 345 what does each digit stand for?
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4. 472 = 400 + ____ + 2
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5. In 3547, the 5 stands for ____.
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6. In 3547 the digit ____ is in the hundreds place.
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7. In 3547 the value of the digit 3 is _______.
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8. _____is 10 more than 467.
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9. _____ is 10 less than 500.
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10. _____ is 100 more than 2467.
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11. _____ is 1000 less than 6308.
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12. Write the number 5642 in expanded notation.
Addition and Subtraction within 10
In these problem there are a variety of questions all centering on a common theme and all with numbers within 10. These are some of the basic types of questions from simple joining problems to part/ whole, comparison, and completion problems.
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1. Mary had 3 fish. Her grandmother bought her 4 new fish. How many fish does Mary have now?
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2. Mary had 5 fish. Two of her fish died. How many fish does Mary have now?
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3. Mary had some fish. Two of them died and she now has 4 fish left. How many fish did Mary start with?
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4. Mary’s fishbowl can hold 8 fish. Mary has 3 fish in the bowl now. How many more fish does Mary need to fill the fishbowl?
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5. Mary has 9 fish and her friend Crystal has 4 fish. How many more fish does Mary have than Crystal?
Addition and subtraction within 20
In these problems the type of problem does not really change but the numbers are becoming larger. There is also the use of the term “dozen” in question 4. In problem 5 there are 3 addends.
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1. John has 14 toy trucks. He got 4 more for his birthday. How many toy trucks does John have altogether?
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2. John has 15 toy trucks. Nine of the trucks are red. How many of the trucks are not red?
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3. John has 16 toy cars. He has 7 more than his friend Tommy. How many toy cars does Tommy have?
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4. Tommy had some toy trucks. He gave 4 to Mike. Now Tommy has a dozen left.
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How many toy trucks did Tommy start out with?
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5. Tommy has 4 cars, Joe has 7 and Mike has 5. How many cars do they have altogether?
Addition and Subtraction without Regrouping
In these problems the type of problems are similar to previous ones except that there is not regrouping. The numbers are increasing and there is also extraneous information in #4.
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1. Mary has 86 stickers. She gives 43 stickers to her sister. How many stickers does she have left?
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2. Mary’s stamp album holds 96 stickers. There are 42 stickers already in her album. How many stickers can she still fit in her album?
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3. There are 132 stickers in a small package and 256 in a large package. Mary bought a large and a small package of stickers. How many stickers did she buy?
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4. Mary had 34 animal stickers, 25 American flag stickers, and 58 food stickers.
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How many more food stickers does Mary have than animal stickers?
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5. Mary has 34 more stickers than Kate. Kate has 143 stickers. How many stickers does Mary have?
Addition and Subtraction with Regrouping
In this group of problems we now have larger numbers and we have begun to use money. The problems also include a multi- step problem in #4 and a problem which relies on the child being able to read number words and recognize what is meant by the term “weekend.”
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1. Billy had 275 marbles. He lost 87 marbles. How many marbles does he have left?
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2. Billy had 166 marbles and his mom gave him a bag of 125 marbles. How many marbles does Billy have now?
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3. Billy has $2.34. He needs $1.75 to buy another bag of marbles. How much does the bag of marbles cost.
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4. Malcolm needs a new tire for his bike. A tire costs $13.00. Malcolm has $7. 48.
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His brother will lend him $3.45. How much more money does Malcolm need to buy the new tire?
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5. Five hundred twenty-one people went to the baseball game on Tuesday. Seven hundred eighty-four went on Friday, and nine hundred fifty-four went on Saturday night. How many people went to the baseball games on the weekend?
