Problem of the Day

1
Problem of the Day

• Recreated by Jennifer Johnsen
• Source Scott Foresman Math 4th grade

2
Problem of the Day 1-1

• Tell what information is not needed. Then solve.
  
• Sue collected 73 bugs and Vern collected 65 bugs,
  including 47 with wings. How man of Verns bugs
  did not have wings?

3
Problem of the Day 1-2

• How many more milligrams of calcium does one
  orange have than one banana?
• Milligrams of Calcium in Fruit

Fruit Milligrams of Calcium
Apple 10
Banana 7
Orange 52
Peach 4
4
Problem of the Day 1-3

• The sum of my digits is 13.
• My hundreds place is 3 less than 5.
• My ones place is 4 more than 3.
• My thousands place is even.
• What 4-digit numbers can I be?

5
Problem of the Day 1-4

• How many more lines of symmetry does Figure A
  have than Figure B? (Hint Use objects.)

Rectangle
Square
6
Problem of the Day 1-5

• Heather, Erin, and Greg are going to the movies.
  List the different ways they could sit in a row.
  How many ways could Erin and Greg sit next to
  each other?

7
Problem of the Day 1-6

• Tell the operation needed to solve the problem.
• Toby, Neal, and Quinn each gave canned food to
  the Food Drive. How many cans did they give
  altogether?

8
Problem of the Day 1-7

• If you took a shape out of this box without
  looking, which shape would you be most likely to
  pick? Which shape would you be least likely to
  pick? Explain.

9
Problem of the Day 1-8

• How many more miles did Montel ride than Vicky?
• Train Rides

Monday Tuesday
Montel 15 miles 22 miles
Vicky 18 miles 13 miles
10
Problem of the Day 1-9

• How many triangles can you find in the picture?
  What other shapes can you find? (Hint Draw a
  picture.)

11
Problem of the Day 1-10

• Makenas turtle crawled 1 foot, 3 inches. Whits
  turtle crawled 16 inches. Ryans turtle crawled
  11 inches. Which turtle crawled the furthest?
  (Hint 12 inches 1 foot)

12
Problem of the Day 1-11

• Write a number sentence. Solve.
• Lacy bought a hat and a wrench. How much money
  did she spend?

9
12
13
Problem of the Day 1-12
Mayan Numerals
Value Symbol
1
5

• The Mayan civilization (A.D. 300 to 900) used
  these symbols to represent numbers. Copy and
  complete the table.

Value Symbol Value Symbol Value Symbol
3 9 14
4 10 15
7 13 19
14
Problem of the Day 1-13

• Mr. Cho bought 75 apples, 55 oranges, and some
  pears. After he sold 3 oranges, he had 212
  pieces of fruit left. How many pears did Mr. Cho
  buy?

15
Problem of the Day 1-14

• Jason had 0.87 in his pocket. He took out 3
  quarters. List all of the possible combinations
  of coins he could have left in his pocket.
  (Hint Make an organized list.)

16
Problem of the Day 2-1

• Ezra has an apple, a pear, a banana, and an
  orange. He can take only two pieces of fruit on
  his field trip. What different combinations of
  fruit can he take?

17
Problem of the Day 2-2
Available for Immediate Adoption 29 cats 15 dogs

• Draw a picture to show the main idea. Solve.
• The animal rescue association put this ad in the
  newspaper
• How many animals need adopting?

18
Problem of the Day 2-3

• Place these stadiums in order from least to
  greatest according to their seating capacity.

Stadium Seats
Stadium S 66,944
Stadium B 65,600
Stadium J 66,321
Stadium R 56,127
Stadium T 65,675
Stadium V 65,352
19
Problem of the Day 2-4

• Dennis had 9 on Monday. He earned 3 on Tuesday
  for mowing the yard. On Friday he spent 4 at a
  bookstore. How much did he have then?

20
Problem of the Day 2-5

• Sally made 8 bookmarks.
• Each bookmark was made with 3 ribbons. How many
  ribbons did she use?
• (Hint Make a table.)

21
Problem of the Day 2-6

• Mrs. Taylor makes hummingbird food. She uses 4
  cups of water for every 1 cup of sugar. How many
  cups of water does she need if she has 5 cups of
  sugar?

22
Problem of the Day 2-7

• What information is needed to solve the problem?
• In a football game, the winning team passed for
  47 more yards than the losing team. How many
  yards did the winning team pass for?

23
Problem of the Day 2-8

• Cinco de Mayo is a Mexican holiday. It helps
  people remember the victory of the Mexican Army
  over the French at the Battle of Puebla in 1862.
  How long has it been since the Battle of Puebla?

24
Problem of the Day 2-9

• Vincent has 383 football cards and 439 baseball
  cards. How many more does he need to have 1,000
  sports cards?

25
Problem of the Day 2-10

• How did the number of tickets sold change over
  the week? (Hint Make a bar graph.)
• High School Football Tickets Sold

Day Tickets
Monday 12
Tuesday 23
Wednesday 35
Thursday 40
Friday 55
26
Problem of the Day 2-11

• Between which two years did Trevor grow the most?
  (Hint Make a line graph.)
• Trevors Height

Year Height
Year 1 30 inches
Year 2 35 inches
Year 3 38 inches
Year 4 41 inches
Year 5 43 inches
27
Problem of the Day 2-12

• Write an expression. Find its value. Roger
  found 6 shells. Tom found 8 more shells than
  Roger. How many shells did Tom find?

28
Problem of the Day 2-13

• How many right angles are in each figure below?

Figure B
Figure C
Figure A
29
Problem of the Day 2-14

• Carrie bought a soccer ball and a bat. How much
  change should she get from 10.00?

3.49
3.49
2.89
30
Problem of the Day 3-1

• In which step will the number 200,000 appear?
  (Hint Look for a pattern.)
• Step 1 194,000
• Step 2 195,000
• Step 3 196,000 and so on.

31
Problem of the Day 3-2

• Look for a pattern. Draw the next two shapes.

32
Problem of the Day 3-3

• Write a number expression.
• Give its value.
• Antonio had 134 in his savings account. He put
  in 67 more. How much was in Antonios account
  then?

33
Problem of the Day 3-4

• The country of Indonesia is a group of islands
  between Asia and Australia. It has an area of
  704,400 square miles and the 4th greatest
  population in the world, 228,437,870 people.
  Write the word form for each number.

34
Problem of the Day 3-5

• Jason bought 4 packages of pencils and 3 packages
  of pencil erasers. How many extra erasers did he
  have?

8 erasers per package
5 pencils per package
35
Problem of the Day 3-6

• Lee and Amy fed their dog Sox 24 days in a row.
  Lee fed Sox two days more than Amy. How many
  days did each feed Sox? (Hint Try, check, and
  revise.)

36
Problem of the Day 3-7

• Mr. Carter spent 16 for museum admission. He
  had 3 people with him. Which tickets did he buy?
• Admission Prices

Ticket (age) Price
Child (0-18) 3
Adult (19-55) 6
Senior (56 and over) 4
37
Problem of the Day 3-8

• Draw a picture to show the main idea. Then
  solve.
• What is the area of water in South Carolina?
  South Carolina

Area (in square miles)
Land 30,109
Water ?
Total 32,020
38
Problem of the Day 3-9

• Jo spent 18. Copy and complete the table to
  show how much she had left if she started with d
  dollars.

d d-18
23
41
52 34
74
100
39
Problem of the Day 3-10

• Mona and Cora are playing a game that uses the
  spinner shown. Give the chances of spinning each
  outcome.

1
1
2
3
2
3
0
1
40
Problem of the Day 3-11

• Use the table to decide who came in first.
  (Hint Use logical reasoning.)
• Diane was third.
• Desi was NOT first.
• Kevin was second.

Kevin Diane Whitney Desi
1st
2nd
3rd
4th
41
Problem of the Day 3-12

• Suzannes birthday is in June. What is the date
  of her birthday?
• (Hint Use a calendar.)
• The date has 2 digits.
• The sum of the digits is 5.
• The date of her birthday is an odd number.

42
Problem of the Day 3-13

• Write the hidden questions. Solve.
• In the 2000 Summer Olympics, how many more medals
  did the U.S. win than China?
• 2000 Summer Olympics

Gold Silver Bronze
U.S. 40 24 33
China 28 16 15
43
Problem of the Day 3-14

• How much longer do goose eggs incubate than
  pigeon eggs?

44
Problem of the Day 3-15

• The flower shop bought 27 red roses and 32 yellow
  roses. How many arrangements can they make like
  the one shown?

45
Problem of the Day 4-1

• Mr. Gilbert is putting new numbers on apartments
  1 through 20 in his apartment complex. How many
  digits will he use to number these apartments?
  (Hint Solve a simpler problem.)

46
Problem of the Day 4-2
Asian Rivers
River Length (miles)
Irrawaddy 1,337
Kolyma 1,323
Syr 1,370
Tarim 1,261

• Which river or rivers round to 1,300 miles when
  rounded to the nearest hundred and 1,320 miles
  when rounded to the nearest ten?

47
Problem of the Day 4-3
Land Area of States
State Square Miles
Maryland 9,774
Massachusetts 7,840
New Hampshire 8,968
New Jersey 7,417
Vermont 9,250

• Tell if you need an exact answer or an estimate.
  Then solve. Which states combined have about
  18,000 square miles of land area?

48
Problem of the Day 4-4

• Find the area of the playground below. Write
  your answer in square units.

49
Problem of the Day 4-5

• Jerico had 50.00. She bought a pair of shoes
  and a skirt. The tax was 3.81. How much money
  did Jerico have left?

25.99
18.99
50
Problem of the Day 4-6

• Mr. Greer cut a board into two equal pieces.
  After he cut 5 inches off one of the pieces, the
  rest of it was 7 inches. How long was the
  original board? (Hint Work backward.)

51
Problem of the Day 4-7

• Tessa bought a poster, a paperback book, and a
  bookmark. She had 0.55 left. How much did
  Tessa have before she bought these items?

Prices
Bookmarks 0.75
Paperback Books 2.95
Posters 1.75
52
Problem of the Day 4-8

• Tell what operation.
• Then solve.
• How many days are in 9 weeks?

53
Problem of the Day 4-9

• In 2000, the population of the state of Wyoming
  was 493,782. What would the population be if
  there were an increase of 10,000? Of 100,000?

54
Problem of the Day 4-10

• Mrs. Kelly bought 20 yards of material. She
  made 4 dresses. Each dress used 3 yards. How
  many yards of material did Mrs. Kelly have left?

55
Problem of the Day 4-11

• Rachel and Ryan are having a party. Rachel
  invited 6 friends, and Ryan invited 9. Write a
  number sentence to find how many friends Rachel
  and Ryan invited in all.

56
Problem of the Day 4-12

• Tiana received 13 greeting cards. Seven of the
  cards came from people who lived in other states.
  Write a number sentence to find how many cards
  came from people who live in her state.

57
Problem of the Day 4-13

• Write the hidden questions. Solve. Did Jackson
  ride more miles Tuesday and Wednesday or Thursday
  and Friday?

58
Problem of the Day 4-14

• Explain if the spinner below is fair or unfair.
  If it is unfair, draw a spinner that would be
  fair.

59
Problem of the Day 4-15

• Joy started her homework at 445 P.M. She
  worked for 20 minutes, ate dinner for 30 minutes,
  and then worked 20 more minutes. What time did
  Joy finish her homework?

60
Problem of the Day 5-1

• The figure below has a perimeter of 18 units.
  Where can you move two of the squares to make a
  figure with a perimeter of 12 units? (Hint Use
  objects.)

61
Problem of the Day 5-2

• Copy the parallelogram. Make one straight cut
  so that the two pieces can be arranged to form a
  rectangle.

62
Problem of the Day 5-3

• Write an expression. Then find its value.
• How much longer is the Amazon River than the
  Chang River?

63
Problem of the Day 5-4

• When will be the next Year of the Tiger? Year
  of the Horse?

Tiger 1986 1998
Ox 1985 1997
Rat 1984 1996
Hare 1987 1999
Pig 1983 1995
Dragon 1988 2000
Dog 1982 1994
Snake 1989 2001
Horse 1990 2002
Rooster 1981 1993
Sheep 1991 2003
Monkey 1992 2004
64
Problem of the Day 5-5

• Miss Amy had 178.34. Then she taught four
  2-hour flute lessons. She charged 20 an hour.
  How much did she have after the flute lessons?

65
Problem of the Day 5-6

• Sasha is making a border near her ceiling. She
  puts up 3 stars, 2 moons, 3 stars, 2 moons, and
  so on. If she uses 8 moons and then stops, how
  many stars has she used? (Hint Draw a picture.)

66
Problem of the Day 5-7

• Manny is shorter than Rex, but taller than
  Victor. Rex is shorter than Steve. Who is the
  tallest?

67
Problem of the Day 5-8

• Tell what information is not needed. Then
  solve. Mrs. Keagan needs 1 pound of meat and 2
  slices of bread to make 15 meatballs. How many
  meatballs can she make out of 5 pounds of meat?

68
Problem of the Day 5-9

• What is the probability of taking a star out of
  the bag? a circle? (Hint Use fractions.)

69
Problem of the Day 5-10

• Copy and complete the invoice. How much did
  Happy Kitties spend on supplies?
• Invoice

Quantity Item Price of One Price of All
3 Bags of Cat Litter 3.78 ?
2 Bags of Cat Food 4.96 ?
4 Bags of Cat Treats 3.19 ?
TAX 2.89
TOTAL ?
70
Problem of the Day 5-11
Uniform Choices

• Find all the different combinations of uniforms
  Kathleen could wear.
• (Hint Make an organized list.)

Bottoms Tops
Shorts Blue
Pants Navy
Red
White
71
Problem of the Day 5-12

• Hailey likes sausage, pepperoni, hamburger, and
  Canadian bacon on her pizza. List all the
  combinations of two meat toppings she could order

72
Problem of the Day 6-1

• Each package of trading cards has 20 cards.
  Mrs. Wininger bought 2 packages for each of her 4
  children. Write a number sentence to find the
  number of cards Mrs. Wininger purchased.

73
Problem of the Day 6-2

• These are Chinese words used for some numbers
• 1 yi 10 shi
• 3 san 11 shiyi
• liu 13 shisan
• What word is used for 16? Explain.

74
Problem of the Day 6-3

• How much greater is the perimeter of Figure A
  than Figure B? (Remember Perimeter is the
  distance around the shape.)

Figure A
Figure B
8 inches
4 inches
12 inches
12 inches
75
Problem of the Day 6-4

• Tyrone gets 2 after every third time he takes
  the dog out for a walk. If he has walked the dog
  27 times this month, how much money has he
  earned? (Hint Make a table.)

76
Problem of the Day 6-5

• The zoo offers 5 boat tours and 8 train tours
  every day. How many tours will the train have
  made when the boat has made 35 tours? (Hint
  Make a table.)

77
Problem of the Day 6-6

• Tell what operation. Solve.
• Mr. Top is printing programs for the seats at
  the dinner theater. There are 45 tables that
  each seat 4 people. How many programs must he
  print?

78
Problem of the Day 6-7

• Graph (4, 1), (1, 2), and (4,4). Then connect
  the points. Is the triangle you formed right,
  acute, or obtuse? (Hint Use graph paper.)

79
Problem of the Day 6-8

• Which state has a greater difference in
  altitude?

Altitude of States
State Highest Point Lowest Point
Arkansas Magazine Mountain 2,753 feet Ouachita River 55 feet
North Dakota White Butte 3,506 feet Red River 750 feet
80
Problem of the Day 6-9
Toris Plant Growth

• Between which two weeks did Toris plant grow
  the most? (Hint Make a line graph.)

Week Height in inches
1 1
2 3
3 4
4 8
5 9
81
Problem of the Day 6-10

• How did the attendance at after-school tutoring
  change over the week? (Hint Make a bar graph.)
  

After-School Tutoring Attendance
Day Monday Tuesday Wednesday Thursday Friday
Attendance 10 14 20 25 6