Leveled Problem Solving Think Math

Grade 4

Chapters 8-11

Chapter 8 Lesson 1

1. What is the value of the first 9 in the number?

2. How many times greater is the value of the first 9 than the value of the second 9?

3. What would the number be if the final zero were dropped?

Chapter 8 Lesson 2

1. Bobbi wrote a spider’s speed as 1.__ __. What are the greatest possible values for __ and __?

2. A giant tortoise travels 0.__ __ miles an hour. What is the greatest possible difference between the speeds of a tortoise and a spider?

3. A mouse travels 8.00 miles an hour. How much faster than a spider does a mouse travel?

Chapter 8 Lesson 3

1. The area has 2 digits to the right of the decimal point. What is the least it can be?

2. The area has 2 digits to the right of the decimal point. What is the greatest it can be?

3. If the area of the ride is exactly halfway between 3.5 and 3.6 acres, what is its area?

Chapter 8 Lesson 4

1. How many of the racers took more than 1 minute?

2. Which racer’s time was the closest to exactly 1 minute?

3. Joe was faster than Antwan but slower than Emanuel. What might his time have been?

Chapter 8 Lesson 5

1. Luisa did 4/10 of the problems. How could you write what she did as a decimal?

2. Write a decimal and a fraction for the part of her homework that she could have done.

3. She told a friend she had done 1/3. or 0.3, of the problems. Do 1/3 and 0.3 represent the same number?

Chapter 8 Lesson 6

1. Collin has tiled ¾ of the floor. How many tiles has he put down?

2. Collin tiled 0.4 of the floor today. He wanted to do 3/5 of it. Has he tiled at least 3/5?

3. Could he have tiled exactly 1/3 of the floor today?

Chapter 8 Lesson 7

1. The chef makes a cake using 1 pound of flour. How much flour is left?

2. The chef makes some cookies using ½ pound of flour. How much flour is left?

3. The chef makes pizza dough using 1 ½ pounds of flour. How much flour is left?

Chapter 8 Lesson 8

1. If you hike both trails, how far will you have hiked?

2. If you hike 3.5 kilometers of Cape Final Trail before lunch, how far will you have to hike after lunch?

3. If you hike 9.3 kilometers in all, how much more than the length of both trails have you hiked?

Chapter 8 Lesson 9

1. If you drive from Kennedy Airport to LaGuardia Airport and then to Newark Liberty Airport, how far will you drive in all?

2. If you drive from Kennedy Airport to LaGuardia Airport and back again, how far will you drive?

3. How much farther is it from LaGuardia Airport to Newark Liberty Airport than from LaGuardia Airport to Kennedy Airport?

Chapter 8 Lesson 10

1. Carlos buys a notebook for $5.99 and a backpack. How much does he spend?

2. Carlos pays for a backpack with a $20 bill. How much change does he get?

3. After buying a backpack, Carlos gets $0.21 in change. If he paid with bills, what is the least number of bills he could have used?

Chapter 9 Lesson 1

1. How many days is Monica at camp?

2. On her way home, she visits her cousin for 2 days. How long is she away from home?

3. Cornell spends 1 week at one camp and 10 days at another camp. Who spends more time at camp?

Chapter 9 Lesson 2

1. Inside, the temperature is 72°F. Is it warmer inside or outside?

2. An hour later, the temperature is 14° warmer. What is the temperature then?

3. At 1:00 P.M. it is 59°F. In the next hour it falls 8°. What is the change in temperature from noon to 2:00 P.M.?

Chapter 9 Lesson 3

1. The red pencil measures 4 ¾ inches. The blue pencil measures 5 inches. Which pencil is longer?

2. The red pencil measures 4 ¾ inches, and the green pencil measures 4 5/8 inches. Which pencil is longer?

3. The red pencil measures 4 ¾ inches, the blue pencil measures 5 inches and green pencil measures 4 5/8 inches. Which is the shortest pencil?

Chapter 9 Lesson 4

1. Ally is 3 feet 11 inches tall. How tall is Nadia?

2. Nadia is 4 feet 9 inches tall. How tall is Ally?

3. Ally is 1 foot 3 inches shorter than Ed. Ed is 5 feet 2 inches tall. How tall is Nadia?

Chapter 9 Lesson 5

1. The book is about 4 hands wide. About how wide is the book in centimeters?

2. The book is about 3.5 hands wide. About how wide is the book in centimeters?

3. Cal knows that 1 inch is about 2.5 centimeters. About how many inches long is his book if it is about 5 hands long.

Chapter 9 Lesson 6

1. How many pints of ice cream should Melody buy to make one cake?

2. Melody has 10 pints of ice cream. Can she make the cake?

3. Each serving of cake will contain 1 cup of ice cream. How many servings will there be?

Chapter 9 Lesson 7

1. Ken’s bucket holds 2 gallons of water. Whose bucket hold more?

2. Anya’s bucket holds 4 quarts of water. Whose bucket holds more?

3. Ben’s bucket holds 12 cups of water. Whose bucket holds more?

Chapter 9 Lesson 8

1. How many cups do 2 bowls hold?

2. Karen estimates that each person at her party will drink about 2 cups of juice. How many people will the juice bowl serve?

3. How many quarts of juice should Mike make if he wants to fill the bowl three times?

Chapter 9 Lesson 9

1. Which unit should he use to measure the weight of a serving of yogurt?

2. Which unit should he use to measure the combined weights of 6 fire trucks?

3. Which unit should he use to measure the weight of a classroom fish tank full of water?

Chapter 9 Lesson 10

1. How many grams does the baby weigh?

2. John’s baby sister weighs 3,600 grams. Who weighs more?

3. Greg’s puppy weighs 1,830 grams. Who weighs more?

Chapter 10 Lesson 1

1. How many meals will have a tuna sandwich and a glass of orange juice?

2. How many different meals will have a tuna sandwich, a drink and a fruit?

3. How many different meals can Jason make if a meal has a drink, a sandwich, and a fruit?

Chapter 10 Lesson 2

1. You choose a card that is a 1, 2, or 3.

2. You choose a card that is even or a multiple of 3.

3. You choose a card that is odd and a multiple of 2.

Chapter 10 Lesson 3

1. Are you more likely to choose an even card or a multiple of 3?

2. Are you more likely to choose a number less than 8 or a number greater than 14?

3. Compare the probability of choosing a multiple of 3 and the probability of choosing a multiple of 5.

Chapter 10 Lesson 4

1. If you do the experiment 60 times, about how many times would you expect to toss a number less than 4?

2. If you make 60 tosses, about how many times would you expect to toss a number that is even or less than 4?

3. If you do make 60 tosses, about how many times would you expect to toss a number that is less than 3 or greater than 4?

Chapter 10 Lesson 5

1. If you do the experiment 60 times, about how many times would you expect to toss a number less than 4?

2. If you make 60 tosses, about how many times would you expect to toss a number that is even or less than 4?

3. If you do make 60 tosses, about how many times would you expect to toss a number that is less than 3 or greater than 4?

Chapter 10 Lesson 6

1. What is the probability that a randomly chosen teacher takes less than 30 minutes?

2. What is the probability that a randomly chosen teacher takes at least 30 minutes but not more than 1 hour?

3. What is the probability that a randomly chosen teacher takes at least 30 minutes?

Chapter 10 Lesson 7

1. What was the most common number of paces needed?

2. What measurement is in the middle data, if the measurements are ordered smallest to largest?

3. If the fractional measurements were rounded to the nearest whole number, would the measurement in the middle of the data change?

Chapter 10 Lesson 8

1. For which graph or graphs would it be difficult to tell which class it represented?

2. Which graph for the eighth graders would probably have the greatest range?

3. Which graph or graphs would have no middle value?

Chapter 11 Lesson 1

1. How many squares are part of the net?

2. How many pairs of parallel faces does the figure have?

3. How many right angles do the faces of the cube have in all?

Chapter 11 Lesson 2

1. Can Sara’s figure be a pyramid?

2. Sara’s shape is a prism. What do you know about the two trapezoids?

3. Sara’s shape is a prism. Are all the rectangles congruent?

Chapter 11 Lesson 3

1. The figure has only rectangles. What figure is it?

2. The figure has more than one rectangular face. Could Jai be making a pyramid?

3. All the shapes have the same number of sides. Can you tell what it is?

Chapter 11 Lesson 4

1. The 6 faces are all congruent. The length of one edge is 3 inches. What is the total area of the faces?

2. Four of the faces are rectangles whose dimensions are 7 inches by 3 inches. Two are squares whose edges are 3 inches. What is the total area of the faces?

3. Four of the faces are rectangles whose dimensions are 6 inches by 4 inches. Two are squares. What is the greatest possible total area of the faces?

Chapter 11 Lesson 5

1. If he builds a bigger cube, what is the greatest number of small cubes he could have used?

2. He uses as many cubes as he can with 6 in the bottom layer. How many layers does he make?

3. If he uses 16 cubes, how many could be in the bottom layer?

Chapter 11 Lesson 6

1. Could the prism be 1 inch high?

2. The prism has 6 layers. What possible areas could the base have?

3. There are two possible prisms with 3 for one dimension and the others greater than 1. Which has a smaller total area for the faces?