Grade 4 Math Problem Solving Practice

1. MATHUNIT 1 4TH GRADE

2. PROBLEM SOLVING Jacob helps at the family flower shop in the summer. He keeps a record of how many flower bouquets he sells. How many bouquets did he sell on Tuesday and Wednesday?

3. Use a Bar Diagram Total: total number of bouquets he sold on Tuesday and Wednesday. ? Part Part 24 + 26 = ?

4. Emily is saving to buy a sweatshirt from the college her brother attends. She has $13. How much more money does she need to buy the sweatshirt? Total: Cost of the sweatshirt _____$32_____ 32 – 13 = _____ $32 $32

5. Tickets to a movie on Saturday cost only $5 each no matter what age you are. What is the cost of tickets for a family of three? Total cost ? 3 X 5 = ____

6. Twenty-four students traveled in 3 vans to the zoo. The same number of students were in each van. How many students were in each van? 24 24 divided by 3

7. The race was 5 kilometers. Markers were at the starting line and the finish line. Markers showed each kilometer of the race. Find the number of markers used. What should your strategy be? Start Line 1 km 2 km 3 km 4 km Finish Line

8. How many ways can you make change for a quarter using dimes and nickels?

9. Michael and Madison spent all day Saturday at the County Fair. Michael rode 3 rides every half hour and Madison rode 2 rides every half hour. How many rides had Madison ridden after Michael rode 24 rides? Strategy: Make a chart

10. The house numbers on Forest Road change in a planned way. Describe the pattern. Tell what the next two house numbers should be. 3 6 10 15 ___ ___ ___

11. Joshua spent $27, not including tax, on supplies for his dog. He bought two of one item and one of another item. What did he buy? Strategy: Guess and Check

12. Emma’s new CD player can hold 6 discs at one time. If she has 204 CDs, how many times can the player be filled without repeating a CD? • divided by 6 = 204 n n

13. How many different ways can 4 students shake each other’s hand? Strategy: Act it out

14. What is the perimeter of the figure? Each side of each triangle in the figure is one centimeter. If there are 12 triangles in a row, what is the perimeter of the figure shown? Strategy: Make a table ( function chart )

15. Matthew collected some shells, rocks, and beach glass. How many of each object are in his collection?

16. Olivia was in a jump rope contest. How did her number of jumps change over the five days of the contest? M T W T F 80 60 40 20

17. Daniel has band practice at 10:15 a.m. It takes 20 minutes to get from his home to practice and 5 minutes to warm up. What time should he leave home to get to practice on time? Strategy: work backward

18. Writing to Explain What will happen to the area of a rectangle if the lengths of its sides are doubled? 2 inches 1 inch ____________________________________________________________________________________________________________________________________________________________________________________

19. Writing to Explain Use blocks to show 13 X 14. Draw a picture of what you would do with the blocks.

20. REVIEW digit compare even period odd number line

21. Compare each set of numbers using > greater than < less than = equal to

22. Tell if the highlighted digit is in the ones, tens, or hundreds place.

23. Writing to Explain How does using commas to separate periods help you read very large numbers? __ __ __, __ __ __, __ __ __, __ __ __ ____________________________________________________________________________________________________________________________________

24. Representing Numbers What are some ways to write numbers in the thousands? Hannah is 4,276 feet above sea level. There are many different ways to represent 4,276.

25. How do you read and write numbers in the thousands?

26. Writing to Explain Why is the value of the 5 in 5,784 = 5,000? Explain: __________________________ Is the expanded form for 6,348 the same as 6,348? Explain: __________________________

27. Write the word form of each. What is the value of the red digit in each number?

28. Write each number in expanded form.

29. Write each number in standard form.

30. Can you read this number? .

31. Write each number in Standard form.

32. Which digit is in the same place in all three numbers? What is the place-value position? 574,632 24,376 204,581 Write the number 403,867 in word form. ________________________________ Can you expand it? _______________________________

33. What is the largest 4 digit number you can make? _____________ What is the smallest 4 digit number? ______________ Write to explain: __________________________________

34. The city of Port Orange has 124,763 books in their Library with 3,142 DVDs in their collection. This year they will purchase an additional 1,500 books and 2,000 DVDs. How many books will the library have after the purchase? What is the operation? Set up and solve. _____ _____ = ______

35. The Everglades National Park is the largest national park in Florida. It was established in 1947. What is this number in expanded form? ___________ This is the year 2013. How long ago was the Everglades National Park established? ____________

36. The Egyptians created a number system that used symbols, or hieroglyphs. The chart shows the symbols and their equivalent numbers. Hieroglyphs are drawn with the greater number in front of the lesser number. 31 Hieroglyphs can be read from left to right. 523 If the symbols are stacked, the greater number is on the top. 214,413

37. Write 217 in word form and using hieroglyphs. ___________ ___________ Write 2,523 in word form and using hieroglyphs. ____________ ____________

38. Which number will take less time to write with hieroglyphs, 9 or 100? Explain… Use hieroglyphs to write the greatest 5 digit number possible.

39. Use hieroglyphs to draw the number one greater than 249. ____________ It is believed that the Egyptian number system was created around 3000 B.C. Use hieroglyphs to represent this number. ____________

40. Roman Numerals is another number system. How does it compare to the Egyptian system?

41. What are some ways to write numbers in the millions? Between 2001 through 2005, 356,039,763 fans attended professional baseball games. Write the expanded form and word form for 356,039,763. Draw a place-value chart to help.

42. Write the number in word form. Then tell the value of the red digit in each number.

43. Write each number in standard form.

44. Tell the value of the red digit in each number. Write each number in word form.

45. In 2005, seventy-four million, nine hundred fifteen thousand, two hundred sixty-eight fans attended baseball games. Which choice shows this number in standard form?

46. The vault at Fort Knox holds 147,300,000 ounces of gold. Write the number that is one million more.

47. Write the expanded form of 123,456,789 and 987,654,321. Which digit has the same value in both numbers?

48. Write the standard form of a 9-digit number with a 5 in the millions place and a 9 in the tens place. ___________________ Write a number that is ten million more than the number you chose. ______________ Write a number that is one million less than the number you chose. ______________

49. How can you estimate an unknown distance? Mrs. Vale asked her students to estimate the distance around their classroom. Is the distance closer to 50 feet, 100 feet, or 150 feet?

50. When trying to estimate an unknown distance you should use a distance that you already know. (benchmark) You know that when you take a large step it is about 3 feet. Using this information you can estimate any distance. If it takes you 10 steps to cross the classroom it would be about _____ feet.