Fourth Grade Millipedes · Can you draw lines around the dots in the array below, to indicate the following arrays, without overlapping lines? 3 x 4 2 x 5 3 x 6 “Zero” is one

4th Grade

Bancroft School

Math Bug Millipedes

Name: Teacher:

1

34 84 125 48 +48 +49 + 67 + 23 891 501 235 24 + 450 + 370 + 18 + 64 291 309 + 194 + 503 How does a cow add?

With a Cow-culator!

Each letter in the following equation represents a numeral from 0 to 9. Which numeral does each letter represent? (Be careful not to confuse the letter O with the numeral 0!) (Hint: P=0, T=2.) T O P T = O = P = + T O T

O P T

2

56 23 98 77

- 45 -14 -81 -28 891 501 235 - 450 -370 -187

9 6 2 3 9 8 7 7 - cc -cc -cc -cc

54 13 9 18

Q: If you take three oranges away from five oranges, how many do you have? A: YOU have three oranges!

3

Write each number with digits/numbers.

1) Three hundred forty-nine million, seven hundred ninety-one thousand,

two hundred twelve

2) Thirteen million, nine hundred eighty-three thousand, four hundred

twenty-three

3) Seven hundred twenty-five million, six hundred eight thousand, twelve

What is the place value for the 3 in each of these number.

1) 382,541,709

2) 71,639,016

3) 1,089,357

4) 935,214,098

5) 18,493,501

6) 485,030

7) 1,000,300

4

12

x 5

23 x 3

7 x 8

123 x 2

11 x 3

12 x 4

8 x 6

56 x 5

283 x 9

199 x 8

233 x 4

892 x 7

A very long problem with a very short answer!

9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 x 0 =

5

1. Circle the correct name for the lines and line segments below.

line segment DB line DB line segment BD

line segment MN line NM ray MN

ray XY line XY line segment XY

line segment AB line AB line segment BA

2. Circle either Right Angle or Not a Right Angle for the angles below.

Right Angle

Not a Right Angle

Right Angle

Not a Right Angle

Right Angle

Not a Right Angle

Right Angle

Not a Right Angle

3. Write the number of right angles each shape has.

_______ right angles _______ right angles



M N � �

D B � �

6

Find the Mode, Median, and Range for the following:

1) 1, 3, 2, 1, 2 , 2 Mode = ____ Median = ____ Range = ____ Maximum = ______ Minimum = ______

2) 5, 3, 2, 4, 6, 4 Mode = ____ Median = ____ Range = ____ Maximum = ______ Minimum = ______

3) 7, 3, 2, 5, 7 Mode = ____ Median = ____ Range = ____ Maximum = ______ Minimum = ______

Can you draw lines around the dots in the array below, to indicate the following arrays, without overlapping lines?

3 x 4 2 x 5 3 x 6

“Zero” is one of the most important ideas in math. It shows the difference between numbers such as 25, 205, 2005, etc. Zero means “nothing” or “no thing.” Can you draw an array that shows 0 x 0?

Think of a number between 1 and 10. Then multiply it by 9. Add the digits of

your answer. Subtract 5. The answer is always: .

Do you know why?

� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � �

7

Please show your work!

23 62 25 26 x 18 x 50 x 27 x 12

16 45 82 x 29 x 37 x 14

Think of a number between 1 and 10. Then multiply it by 3. Add 4.

Double the answer, then subtract 2. Divide it by 6. Now, take away

the number you first thought of… The answer is always: .

8

1. 4 feet = inches

2. 36 inches = feet

3. 24 yards = feet

4. 144 inches = feet

5. 86 inches = feet, inches

6. 9 feet = yards

7. 40 inches = feet, inches

How long is your foot? My foot is inches long.

How tall are you? I am inches tall, which is the same as saying

I am feet, inches tall.

Metric system!

1. 1.2 meters = centimeters

2. 830 centimeters = meters

3. 2.5 meters = centimeters.

4. 235 millimeters = centimeters

How long is your foot in centimeters? My foot is cm long.

Units of Length 1 foot = 12 inches 1 yard = 3 feet

Metric Units of Length 1 centimeter = 10 millimeters 100 centimeters = 1 meter

9

Round decimals to the nearest tenths or hundredths:

Decimal Nearest tenths Nearest hundredths

1) 1.324 1.3 1.32

2) 0.569

3) 2.345 2.3

4) 8.763

5) 9.257

6) 0.451

7) 1.823 1.82

8) 1.967

9) 0.938 0.9

10) 0.340

Challenge question: One of the reasons we practice rounding decimals is because we need to count money this way! For example, Massachusetts has a 6% (0.06) sales tax. How much money, including tax, would you need to pay if you bought a toy that cost $14.00?

Amount of tax: Total cost of toy, with tax:

Rounding Decimals!!

10

41.52 + 14.87

82.85 + 17.45

61.06 + 9.62

20.02 + 4.69

15.54 + 16.35

8.87 + 4.97

35.63 + 19.82

26.58 + 14.82

51.91 + 16.31

41.52 - 14.87

82.85 - 17.45

61.06 - 8.56

20.02 - 5.43

15.54 - 2.36

8.87 - 4.99

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Color 2/8 blue. Color 1/8 red. How much is not colored? _______

Color 3/4 red.

How much is not colored? ______



Molly eats 2/10. Color them blue. Jake eats 4/10. Color them red. How much is not eaten? _______

12

Solve the following equations. Hint: PEMDAS or

Please Excuse My Dear Aunt Sally. Parenthesis,

Exponents, Multiplication, Division, Addition, Subtraction

1) (6 + 4) × 4 =

2) 80 ÷ (4 × 5) =

3) (3 + 2) × (8 – 1) =

4) (4 × 7) ÷ 4 =

5) (9 ÷ 3) – 3 =

6) 8 + (14 ÷ 2) =

7) (8 – 2) + (6 – 3) =

8) 4 + (8 × 7) =

9) 81 ÷ (18 – 9) =

10) (10 × 1) – (9 ÷ 3) = Each letter in the following equation represents a numeral from 0 to 9. Which numeral does each letter represent? (Hint: S=1, A = 6) S E E S = E = A = - A S A S

Q: How much dirt is there in a hole that is 3 feet long, 2 feet wide, and 5 feet deep?

A: None – it’s a hole. A hole

is empty!

13

Write the equation and solve the problem.

1. Rachel baked 48 brownies for her sister’s birthday. She gave 11 brownies to her brother

and 13 to her sister. How many brownies did Rachel have left for herself?

Write the math sentence:

She had brownies left.

2. Tyler and Blake played many games of tic-tac-toe at recess. Tyler won 7 games. Blake won

12 games. They tied twice. How many games did they play in all?


They played games.

3. For the school fundraiser, 369 families donated $6 each. How much money was donated?


$ was donated.

4. The teacher baked a batch of muffins. There are 16 in a batch. She ate ¼ of the batch.

How many muffins does she have now?


She has muffins.

Bonus question: If she brings them in to the class, how many muffins will you

get? (Your answer can be silly, or logical, your choice.)

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5. There are 780 calories in 6 granola bars. How many calories are there in each granola bar?


There are calories in each granola bar.

Should you eat all six granola bars at once? Why or why not?

6. A factory filled 9000 bottles of soda in 3 hours. The same number of bottles were filled

each hour. How many bottles were filled each hour?


Bottles were filled each hour.

How long do you think it would take you to drink 9000 bottles of soda?

Did you know… in 1920, nine-year-old Milton Sirotta invented the

name “googol” for the number which is 1 with 100 zeroes after it!

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1. Mrs. Hall made a batch of cookies for Rachel, Amy, Mary and Joe. 6 of the cookies crumbled so she didn’t serve those to the children. The remainder of the cookies were shared equally by the children. They each ate 3 cookies. How many cookies were in the batch? 2. Katherine is going on a walkathon. For every ½ mile she walks, she gets 75 cents. When she finishes her walk, she gets $3.75. How far did she walk?

3. Paula broke half as many balloons as Perry broke. Perry broke 10 balloons. How many balloons did they break altogether?

4. Jill wants to buy a new skateboard that costs $48.50. She has $12.54. How much more money does she need to buy the skateboard?

Yay! You’ve finished the Math Bug! Thank you for playing!

Answers to the brainteasers may be found on the next page.

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Brainteaser Answers:

Page 1: T = 2, O = 5, and P = 0 (zero). Page 4: 0 (Zero!) Page 6: The answer is always 4, because once you multiply your number

by 9, if you add the digits, they will always add up to 9. And 9

minus 5 is always 4!

Page 7: 1 Page 9: $0.84, $14.84. Page 12: S = 1, E = 2, and A = 6.

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Fourth Grade Millipedes · Can you draw lines around the dots in the array below, to indicate the following arrays, without overlapping lines? 3 x 4 2 x 5 3 x 6 “Zero” is one