Grade 2 Practice Problems: Numbers
Examples from Standards Revision and GLEs
2N-109) Larry picked 53 tomatoes. Did he pick about 50 or about 60 tomatoes? Write how you know.
2N-108) Sandy picked 38 carrots. Did she pick about 30 or about 40 carrots? Write how you know.
2N-107) Brad put cookie dough on a baking sheet.
He made 4 rows of cookies.
Each row had 5 cookies.
How many cookies did he put on the baking sheet?
Draw a picture of the cookie sheet and use it to solve the problem.
2N-106) Use the picture below to answer the questions that follow.
- Circle each monkey. Write how many there are.
- How many monkeys and bunnies are there?
- How many more monkeys than bunnies are there?
- How many bunny ears are there? Write a number sentence to show how you got your answer.
2N-105) Would you rather have one-half of the melon or one-third of the melon? Why?
Why would someone make a different choice? 
2N-104) Fill in the blanks.
046
40 + ____
+28___+008
______+_____ = _____
036 ___+_____
+19 ___+_____
___________ = _____
2N-103) Finish this sample problem.
0 54 50 + 4
+37 30 + 7
80 + 11 =
2N-102) Write the fact families.
2N-101) Show 2 ways to find the sum of all the numbers in the squares.
2N-100) Build different models for the number 24. Use place value ten-rods and ones. Draw a picture to show different ways to make 24. Then fill in the number sentence to show the expanded form for each picture.
2N-99)
What number is this? Write it in expanded form. If you add ten to the number, what number would you have? |
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2N-98) Jessica read 43 pages of her book on Monday. On Tuesday, she read another 28 pages. On Wednesday, she read 19 more pages to finish the book. How many pages did Jessica read all together?
2N-97) What number does this picture represent?
A. 324 B. 300204 C. 30204 D. None of these
2N-96) 5 hundreds, 8 tens, and 3 ones is the same as which of these numbers?
A. 500803 B. 583 C. 16 hundreds D. None of these
2N-95) What number is shown by this chart?
A. 300605 B. 3651 C. 365 D. 3605
2N-94) When 10 is added to four hundred thirty-four, the sum is: _________________
2N-93) There are 20 cars for sale. One half of the cars are red. One fourth of the cars are yellow. The rest are green. How many cars are green?
2N-92) We have 100 sandwiches to pass out to the people in our class. How many sandwiches would each person get if there were 20 people in the class?
2N-91) The plum tree has 8 plums. The peach tree has 10 peaches. The apple tree has 12 apples. Two of us are picking the fruit. We will each get the same number of each kind of fruit. How much fruit will we each get?
2N-90) You made a chocolate pie. You cut it into 3 equal parts. You eat one third of the pie. How many pieces are left? Draw a picture to show your solution. Shade in the pieces that are left.
2N-89) All spiders have 8 legs. How many legs will 3 spiders have?
2N-88) 4 men are playing tennis. Each man holds 2 tennis balls. How many balls are there in all?
2N-87) 3 people go on a picnic. Each person uses 2 napkins. Each one eats 3 drumsticks. How many napkins? How many drumsticks?
2N-86) My sisters and I are triplets. How many dinners do we need? How many mittens do we need?
2N-85) We are jumping on circles on the playground. Henry is on the third circle. Mary is on the fifth circle. Jimmy is on the one in between. Which circle is Jimmy on?
2N-84) Franklin has 2 orange papers and 1 yellow one. Betsy has the same number of papers as Franklin. How many papers does Betsy have?
2N-83) 9 children are at a Halloween party. 2 are dressed as chimpanzees. 3 are dressed as butterflies. The rest are dressed as clowns. How many children are dressed as clowns?
2N-82) Some rattlesnakes sit in the sun. 3 rattlesnakes are eating. 4 are sleeping. How many rattlesnakes are there?
2N-81) A gray squirrel had 5 walnuts in his nest. A red squirrel had 2 more walnuts than the gray squirrel had. How many walnuts did the red squirrel have?
2N-80) A big fish swam in a tank with 8 goldfish. The big fish ate some of the goldfish. 3 goldfish were left. How many goldfish did the big fish eat?
2N-79) Kate and Tanya find 3 blocks to build with. Len and Ron find 4 blocks. How many blocks did everyone find?
2N-78) This small parking lot holds only 10 cars. The parking lot is divided into 5 parts. How many cars can park in each part?
2N-77) Each doe has 1 fawn. We see 7 does. How many fawns do we see?
2N-76) Mort has 3 black horses and 2 white horses. Gordon has an equal number of horses. How many horses does Gordon have?
2N-75) Beth has read 3 books this week. Yoko has read 4 more books than Beth has read. How many books has Yoko read?
2N-74) My baby has 1 upper tooth. Soon he will have 1 upper tooth and 1 lower one. How many teeth will he have?
2N-73) 9 people have come to breakfast. Each one is waiting for 1 warm waffle. Mom has made only 7 waffles. How many more waffles must Mom make?
2N-72) There are 10 squares in my quilt. Each square has only 1 color. The colors are red, orange, yellow, blue and green. There is an equal number of each color. How many blue squares in my quilt?
2N-71) Fern ordered some desserts. 7 desserts were eaten. 2 desserts are left. How many desserts did Fern order?
2N-70) Dad gave me some balloons. 2 burst. I still have 3 balloons. How many balloons did Dad give me?
2N-69) 8 birds stand in a line. Every other bird is eating birdseed. The first, third and fifth birds are eating birdseed. Which other bird is eating birdseed?
2N-68) Mary has 4 fuzzy chicks. Betsy has 4 more chicks than Mary has. How many chicks does Betsy have?
2N-67) Pro basketball teams always have 5 players. 2 teams are on the court. How many players are on the court?
2N-66) I have 8 beautiful plants in my garden. My garden is divided into 4 equal parts. In one part the flowers are blue. In one part they are red. In one part they are yellow. In one part they are purple. How many plants in each part?
2N-65) Each child put 2 ornaments on the tree. 8 ornaments are on the tree. How many children are there?
2N-64) Sally, Doris, and Lory ate some corn. Each ate 3 ears of corn. How many ears of corn were eaten?
2N-63) Troy had 8 coins in his pocket. He tripped and fell, and some of the coins fell out of his pocket. He has one coin left. How many coins did Troy lose?
2N-62) We have 7 people coming to dinner. Pam has to set the table. She has 6 spoons in her hand. How many more spoons will she need?
2N-61) I have 9 coins. 5 of them are dull. The others are shiny. How many coins are shiny?
2N-60) 2 hornets stung Gloria. Norman got stung by that many plus 2 more. Norman is very sore. How many hornets stung Norman?
2N-59) There are 9 girls in second grade. A third of them wear red skirts and blue shoes. A third of them wear red skirts and green shoes. A third of them wear blue skirts and red shoes. How many girls wear red skirts?
2N-58) We must jump through 7 hoops to finish the race. I have already jumped through 3 hoops. How many more hoops must I jump through?
2N-57) His herd has 8 sheep. My herd has 6 sheep. How can we make the herds equal?
2N-56) 9 people come to the dance. Can everyone have a partner?
2N-55) Peter has 2 sisters. Peter's Dad gave each child in the family 3 dollars. How many dollars did Peter's Dad give?
2N-54) Ducks, geese, and hens live in the barnyard. There are 7 ducks, 8 geese, and 9 hens. Are there more ducks than geese? Are there more hens than ducks?
2N-54) Doris put 9 ornaments on the tree. The one at the top is a star. The rest are silver balls. How many balls are on the tree?
2N-53) The birdbath holds 9 birds. 6 birds perch on the birdbath. How many more birds can perch on the birdbath?
2N-52) 5 children sit at the table. Mom has 9 crackers. She gives each child the same number of crackers. How many crackers does each child get? How many crackers are left?
2N-51) Pearl hikes 5 miles to the bus terminal. Mervin hikes to the terminal, and then 3 miles farther. How many miles does Mervin hike?
2N-50) Our yard is full of birds. We have 2 robins, 3 larks, 1 warbler, and 3 sparrows. How many birds are in the yard in all?
2N-49) Kurt needs to earn 9 dollars. He earns 1 dollar an hour for serving meals. He has already worked for 6 hours. How much longer must Kurt work?
2N-48) Maria is putting 2 feathers on each hat. There are 4 hats. How many feathers?
2N-47) They played music on flutes and bugles. 7 people were playing. 4 of them played bugles. The rest played flutes. How many were playing flutes?
2N-46) Each beautiful ewe had 1 black lamb and 1 white lamb. There were 7 ewes. How many black lambs were there?
2N-45) How many shoes must you buy for a set of quintuplets?
2N-44) John bought enough apples for the class. 7 of them were ripe. 2 were still green. How many apples did John buy?
2N-43) 3 astronauts fit in each spaceship. 4 spaceships are up right now. How many astronauts are in space right now?
2N-42) Eve saw 6 fawns on the lawn. When she looked again, 4 were gone. How many fawns are still there?
2N-41) In my room I have 1 bed, 3 chairs, 1 desk, and 1 couch. How many pieces of furniture do I have in my room?
2N-40) John and Guy try to fly the toy airplane. It flies for the first 2 tries. It doesn't fly the next 4 tries. How many times did they try?
2N-39) The cylinder on the left is 5 inches tall. The cylinder on the right is twice as tall. How tall is the cylinder on the right?
2N-38) Sarah must unsaddle 9 horses. She has unsaddled 5 of them. How many horses still have saddles on?
2N-37) We have 8 lambs in our flock. We must divide the flock in half. How many lambs will be in each half?
2N-36) We have 8 candleholders on our chandelier. We need new candles for some of them. 5 lights are still glowing. How many new candles do we need?
2N-35) There are 3 barns on my farm. Bart's farm has twice as many barns. How many barns are on Bart's farm?
2N-34) The bank had 9 million dollars. One day they had a big robbery. The robbers took a lot of money. The bank only has 1 million dollars left. How much money did the robbers take?
2N-33) 8 frogs were in the jungle. A python ate some of them. 3 frogs are left. How many frogs did the python eat?
2N-32) 4 honest boys told their teacher what they had for lunch. John ate 5 helpings of spaghetti. Gerry ate 3 helpings. Sam ate 8 helpings. Thomas ate 7 helpings. Graph this and then explain who ate the most.
2N-31) My favorite TV program has 4 commercials. Each commercial lasts 2 minutes. How many minutes of commercials must I sit through when I watch my favorite program?
2N-30) Make a picture of 2 circles. Divide the first circle in half. Divide the second circle into quarters.
2N-29) 3 giants planted flowers. Baby Giant planted 2 flowers. Mother Giant planted twice as many as Baby Giant. Father Giant planted twice as many as Mother Giant. How many flowers did Father Giant plant?
2N-28) Irene, Iris, and I are eating pie. We divided the pie equally. I took my slices first. I have 2 slices on my plate. How many slices are left for Irene and Iris?
2N-27) Roland and Wendy are cutting roses. There are 7 roses on the bush. If they cut them all, can they each cut the same number of roses?
2N-26) Nine crows sat on the farmer's fence, while one rested on the scarecrow in the garden. In all, how many crows were in the farmer's garden?
2N-25) Rod bought 7 pounds of potatoes and 2 pounds of tomatoes at the farmer's roadside stand. How many pounds of vegetables did Rod buy altogether?
2N-24) In the fall, John planted 6 tulip bulbs and his sister planted 4. How many tulips do they hope will bloom in the spring?
2N-23) The students sold flowers for a dime each. Tony sold 4 roses and Peter sold 2 marigolds. How much money did Tony and Peter make?
2N-22) There are 9 cats. 6 cats are black. The rest are yellow. How many yellow cats are there?
2N-21) Elena is selling turtles. She started with 10 turtles. She sold 3 to Rob, 2 to David, and 4 to Amy. How many turtles are left?
2N-20) Jan has 3 bananas and 4 apples. Peg has 1 more banana and 2 fewer apples than Jan has. Ed has 2 fewer bananas and 1 more apple than Peg has. Who has the most fruit?
2N-19) There are 6 boys and 4 girls on the green team. There are 5 boys and 7 girls on the blue team. Which team has more members?
2N-18) I have 4 red cups, 5 blue cups, and 6 green cups. How many more green cups than red cups do I have?
2N-17) 6 children are roasting marshmallows. Each child has 5 marshmallows on a stick. How many marshmallows are there?
2N-16) We have 4 brown cows and 3 black ones. Each brown cow has 1 calf. Each black cow has 2 calves. How many calves?
2N-15) Our barn holds 5 cows. How many barns of the same size would we need for 20 cows.
2N-14) Each plant has 2 red tomatoes, 3 green tomatoes, and 4 yellow tomatoes. There are 5 plants. How many tomatoes are there in all?
2N-13) 3 people play trumpets. Twice as many people play drums. How many people in all?
2N-12) There are 10 animals in the zoo. 3 are zebras, 2 are monkeys, 2 are lions, and the rest are tigers. How many tigers are there?
2N-11) We have an enormous birdbath. I see 7 blue birds, 8 red birds, 5 yellow birds, and 10 brown birds. How many birds in all?
2N-10) We are building a wall with blocks. My wall is 2 blocks high and 7 blocks long. Mary's wall is 3 blocks high and 2 blocks long. Ann's wall is 4 blocks high and 3 blocks long. Whose wall has used the most blocks?
2N-9) Dennis has 11 marbles. He trades 2 red marbles for 4 blue marbles. How many marbles does he have now?
2N-8) Ann had 40 names in her address book. She crossed out 8 names. She added 3 new names. How many names are in Ann's address book now?
2N-7) Each classroom gets 4 kickballs, 3 footballs, 1 baseball, and 2 basketballs. How many balls does each classroom get?
2N-6) Nine children stand in line at the drinking fountain. The odd ones are boys. The even ones are girls. Are there more boys or girls?
2N-5) Roy had 18 toy whistles. He gave 6 friends 2 whistles each. How many does he have left?
2N-4) The top shelf of the bookcase holds 24 books. The second shelf holds 35 books. The bottom shelf holds 48 books. How many books are in the bookcase?
2N-3) Mary caught 12 salmon. She caught 13 trout. She threw 5 fish back in the water. How many fish does she have now?
2N-2) 18 people were on the bus. 4 people got off. 7 people got on. How many people are on the bus now?
2N-1) Mr. Brown divided his herd into thirds. He has 27 cows. One third of the cows are brown. One third of the cows are black. One third of the cows are red. How many black and brown cows together?
Expectations & Examples of Numbers from the 2008 Math Standards Revision (draft) - Grade 2
Count by tens or hundreds forward and backward starting at any number from 1 through 1,000.
Represent numbers to at least 1,000 in different ways using written words, numerals, or models, and translate among representations. Models may include money, drawings, or manipulatives such as base ten blocks. Identify relationships between digits and their place values in numbers up to 1,000.
Connect the place of a digit with its value in a number and determine the value represented by a digit based on its position in a number.
Compose and decompose two- and three digit numbers based on the values of the digits used to write the number.
Compare and order numbers from 0 to at least 1,000 using the words equal to, greater than, less than, greatest, or least when appropriate. Interpret a fraction as a number of equal parts of a whole or a set. |
Expectations and Examples of Operations from the 2008 Math Standards Revision (draft) – Grade 2
Explain and use strategies for remembering addition and subtraction facts to 20. For example, since doubles are reliable memory points for most students, one strategy for remembering 7 + 8 = 15 is that it is one more than 7 + 7.
Quickly recall addition facts to 20 and related subtraction facts. Determine whether the computed answer to an addition or subtraction problem is reasonable. Solve a variety of addition and subtraction problems and justify the solutions. Problems should include those involving takeaway situations, missing addends, and comparisons.
Compute two-digit sums and differences efficiently and accurately using a method that can be generalized, including the standard algorithms, and explain why the procedure works. Progression of two-digit computation begins with an operation between a two-digit number and a one-digit number, then a two-digit number and a multiple of 10, and finally two two-digit numbers. An explanation of why a procedure works would be based on place value and properties of operations. Add and subtract two-digit numbers mentally and explain the strategies used. Extend and create additive patterns, including growing patterns, and explain the rule used to extend/create the pattern.
Determine the value of a collection of coins with a total value less than $1.00. Model, create, and describe multiplication situations in which sets of equal size are joined.
Model, create, and describe division situations in which sets are separated into equal parts.
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Examples of Number Sense from the 2006 GLEs – Grade 2
Represent a number to at least 1,000 in different ways, including numerals, words, pictures, and physical models; and translate from one representation to another. Explain how to group and regroup objects into 1’s, 10’s, and 100’s and explain relationships. Determine the value of a digit based on its position in a number. Explain and/or show how to read and write numbers to at least 1,000. Order three or more numbers to at least 1,000 from least to greatest. Express sequential relationships using comparative language, including equal to, less than, or more than, to order numbers to at least 1,000. Show relationships between addition and subtraction using words, pictures, and/or numbers. Use joining, separating, part whole, and comparison situations to add and subtract. Describe real life situations involving addition using physical models and diagrams from various cultures and acting out situations. Illustrate addition and subtraction using words, pictures, and/or numbers. Apply strategies, including counting on, counting back, doubling, and halving, for addition and subtraction facts. Use addition and/or subtraction procedures in a given situation. Explain strategies or procedures used to determine sums and differences. Add and subtract with 2 or 3 digit numbers using a calculator and explain the procedures used Apply mental math strategies, including composing and decomposing numbers or finding combinations that are easy to add or subtract, to compute with numbers through 100. Use calculator, manipulatives, or paper and pencil to add or subtract in a given situation. Explain methods to mentally group numbers efficiently. Apply estimation strategies, including using multiples of 10 and rounding to the nearest 10, to predict computation results. Apply estimation strategies, including using multiples of 10 and rounding to the nearest 10, to determine the reasonableness of answers. |