Fourth Grade Praying Mantis - Bancroft PTO€¦ · Can you draw lines around the dots in the array...

4th Grade

Bancroft School

Math Bug Praying Mantis

Name: Teacher:

1

34 84 125 48 +48 +49 + 67 + 23 891 501 235 124 + 450 + 370 +218 + 164 2919 1309 + 1940 + 9503 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: Any number plus zero equals the same number.) 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 7 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 numbers.

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

5. 100,035 centimeters = _________ kilometers

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 1000 meters = 1 kilometer

9

Round decimals to the nearest tenths or hundredths:

Decimal Nearest tenths Nearest hundredths

1) 1.324

2) 0.569

3) 2.345 2.3

4) 9.257

5) 0.451

6) 1.823 1.82

7) 1.967

8) 0.938 0.9

9) 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 $14.50? Amount of tax: Total cost of toy, with tax:

In 2008 the tax rate increased 1%, from 5% to 6%, how much less would that toy cost in 2008?

Rounding Decimals!!

10

j 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

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41.52 - 14.87

82.85 - 17.45

61.06 - 8.56

20.02 - 5.43

15.54 - 2.36

8.87 - 4.99

Challenge question: Four boys work together painting houses for the summer. For each house they paint they get $1385.50. Expenses per house are $185.50. What is the profit for each house? Assuming each boy shares the profit equally, what is the portion for each boy?

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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? _______

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Solve the following equations. Hint: PEMDAS

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) =

Word Problem: If you begin with a one digit integer, multiply by 3, add 8, divide by 2 and subtract 6, you will get the integer back.

Find the number.

Each letter in the following equation represents a numeral from 0 to 9. Which numeral does each letter represent? (Hint: S plus S equals E…) 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!

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Write the equation and solve the problem.

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

and 13 to her sister. How many brownies did Andrea 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 three times as many games as Tyler. How many games did they play in all?


They played games.

3. The school fundraiser cost $500 to run. 369 families donated $6 each. How much money

did the fundraiser make?


$ was made.

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

baked two more batches. 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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1. 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?

2. A factory filled 9,432 bottles of soda in 3 hours. The same number of bottles

were filled each hour. How many bottles were filled each hour? What was

the rate per minute?


Bottles were filled each hour. Bottles/minute.

How long do you think it would take you to drink 9,432 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 Emily, Rachel, SaraBeth and Joe. The children

shared the cookies equally and finished them all right away.

Then Mrs. Hall made another batch of cookies, twice as big as the first. When she took the cookies off the cookie sheet, 6 of them crumbled, so she didn't serve them to the children. She gave the children the rest of the cookies.

Just then, Mr. Hall came home and ate 2 cookies from the children's tray. Each of the children ate 3 more cookies along with a glass of milk. They were stuffed, so they decided to leave the last 4 cookies on the tray.

How many cookies were in the first batch? How many cookies did each of the children eat?

2. Catrina, Glen, Lisa, Meg, and Wayne made 87 muffins altogether.

• Glen made 16 muffins. He put nuts in of them.

• Catrina made 1 less muffin than Glen. One third of them had nuts.

• Lisa and Meg each made 3 more muffins than Catrina made.

• Lisa put nuts in of her muffins.

• Meg put nuts in of her muffins.

• Wayne put nuts in of his muffins.

How many muffins in all had nuts?

3. Mr. Scanlon has 14 fruit trees. He has 1 apricot tree and 1 pear tree, and the rest are divided evenly among apple, peach, and plum trees.

Last Thursday, Mr. Scanlon picked 6 apples from each apple tree, 10 plums from each plum tree, 3 peaches from each peach tree, and 4 pears from the pear tree.

How many pieces of fruit did he pick last Thursday?

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4. Emily is having a birthday party with 10 people. When everyone gets there she asks everyone to introduce themselves and shake everyone's hand. How many handshakes will there be?

5. If Jane is older than Kim, Kim is older than Shawn. Shawn is younger than Jane and Rachel is older than Jane

List the people from oldest to youngest.

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

Answers to the brainteasers may be found on the back of this 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: $0.87, $15.37. $0.14 Page 11: $1200, $300 Page 13: S = 1, E = 2, and A = 6.

Fourth Grade Praying Mantis - Bancroft PTO€¦ · Can you draw lines around the dots in the array...

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