Summer Math Fun Mastery and Practice

Seacrest Country Day School

For 4th Grade students entering 5th Grade

Student's name --------

Summer Math Fun ...

Warm-Ups. Try to do one a week. They include a quick review of our year.

Play Games. Yahtzee is a great way to practice addition facts. Clue is an excellent game to practice logic skills.

. Bake cookies, make spaghetti sauce, bake muffins. Pay attention to the fractions you use in the recipe.

Make a lemonade stand. Record what you spend and what you earn.

Look for geometric shapes in your neighborhood. Record them in a math journal.

Make a fort. Measure figure out what you design.

to complete

Ask your parents to let you figure out the change when you go to the store. Ask your parents to you figure out the tip at a restaurant.

Practice all math facts ! Very important! ! ! ! Use flash cards (make them!) or "ticker" sheets. Find a computer game that you like and that challenges you.

Plant a garden. Record the measurements of your plants. Plot out the area of your garden. Figure out what it would cost to plant it. What if you sold your produce?

Play school. Teach the children jn your neighborhood all that you know.

Look up famous mathematicians and learn why they are so passionate about numbers.

Look up math game and puzzle books at the library. There are lots of opportunities to exercise your brain!

Practice adding and subtracting large numbers. Make up your own problems.

Practice long division~ Remember how to tum remainders into fractions and decimals? Does McDonald's Sell Burgers??????

Take a vacation. Look for math in your world. How many miles are in your round trip? How much time will it take to get to where you are going? Keep a travel log.

I

1 1. Slim loves hamburgers. He bought 10 hamburgers for $.89 each.

How much did Slim pay?

2-:-Stim-gave-th-e-cl-e-rtca-$-te-bHI-:-How-mtJch-chCtng~-sh(JtJlcl-he-get-eaek-?-----II-----­

Try to do this mentally.

3. Complete the table. Use mental math.

COST CHANGE FROM $10

$4.99

$6.75

$7.95

$9.10

4. Christine bought candy for $1.65 and school supplies for $3.36. How muc.h change will she receive from a $20 bill?

5. Use the numbers: $5.25, $1.89, and $10. Write your own story problem using all three numbers. Be sure to .solve your problem.

CHALLENGE

Guess and Check is an important problem-solving strategy. Us'e guess and check to solve each puzzle.

(a) A number times itself is 100. What is the number?

(b) A number times itself is 225. What is the number? ______ ~

Copyright © Dale Seymour Publications

I

WARM-UP 2

1. lime yourself. See if you can do these mentally in less than 1 minute.

(a) 17 + 12 = (e) 13 + 9 = (b) 21 + 37 = (f) 29 + 11 = (c) 36 + 23 = _____ (g) 64 + 18 = (d) 54 + 45 = (h) 73 + 37 =

2. Write the following as one number.

Thirty-three more than three thousand three hundred

3. The PERIMETER of a figure is the distance

around. ~~ ~ Rnd the perimeter of this figure. 'l-~ "

E ()

0> ~

4. Notice that the word PERIMETER contains the word HIM. How could this help you remember the meaning of perimeter?

5. Bao bought the following items. How much change will she get from a $1,000 bill?

Bicycle $195 ____ _ Radio $95 _____ TV $295 ----

CHALLENGE

Solve this problem by using the Guess and Check strategy.

Claire has two more dimes than nickels. This amounts to $.80. How many of each coin does she have?

Copyright © Dale Seymour Publications

1. Add across.

15 11 == Add down. Add your results, across and down.

7 25 = Put these answers in the triangles.

II " What do you notice about your results?

2. 'Write the following using numerals.

Six less than two thousand five

3. Find the perimeter of this rectangle.

4. Farmer McDonald needs to 28 ft"· enclose a square garden with a fence. The garden is 27 feet on each side. How many feet of fencing does he need?

5. Farmer McDonald needs a new pigpen. Write a story problem about this situation. Be sure to solve your problem.

CHALLENGE

Use. Guess and Check to solve this puzzle.

I am thinking of a number. If you multiply it by 4 and then add 20, the answer is 80. What is the number?

HINT: First show that a guess of 10 is too small.

Cop¥right © Dale Seymour Publications

WARM-UP· 4

1. Add across.

= Add down. 36 16 Add your results, across and down.

22 28 = Put these answers in the triangles.

II II ~ What do you notice about your answers?

2. Round to the nearest dollar.

(a) $2.98 _____ (b) $3.87 ---- (c) $5.09 -----

3. First make an estimate. Then find the answer.

$2.98 + $3.87 + $5.09 + $1.93 Estimate _________ _

. Answer

How close was your estimate?

4. $3.51 + ______ = $5.00

5. Use the Guess and Check strategy. A number times itself is 169. What is the number?

CHALLENGE

Look for a Pa~ern is another important problem-solving strategy.

Look for a Pattern. Find the missing numbers.

(a) 1,8,15,22, __ ,_ (b) 2,4,8,16,-,_

(c) 20, 16, 12,8, __ , __ (d) 1,3,6,10,_, __

Copyright © Dale Seymour Publications

1. Use the boxes at the right. Put in your own numbers. = Use the same directions as before .

. What do you notice about your answer?· =

II " 2. Round to the nearest dollar.

(a) $8.49 ___ {b) $6.51 __ (c) $9.50-----,. __ (d) $1.32 __ _

3. Diego's little sister wants to know how to round to the nearest dollar. Write down how you would explain this to her.

4. First estimate. Then find the answer.

$509 + $98 + $307 + $419

How close was your estimate?

Estimate

Answer

5. $2.31 + $5.99 + ::::: $10.00 -------

CHALLENGE

Use the Look for a Pattern strategy.

Complete the following.

1x9+2=

12x9+3:::::

123 x 9 + 4:=

_x_+_= __

Copyright © Dale Seymour Publications

W RM-U 6

1. Time yourself. See if you can do these mentally in less than 1 minute.

(a) 28-13= __ ~_ (e) 53-41 = ___ _

(b) 75-6= ___ _ (f) 101 - 6 = ___ _

(c) 100-13= ___ _ (g) 50 -15 = ___ _

(d) 61 - 21 = ___ _ (h) 43 - 27 = ___ _

2. Draw a rectangle. Make it about twice as long as it is wide.

3. Round these numbers to the nearest hundred dollars.

(a) $585 ____ (b) $309 ____ (c) $1706 ____ _

4. ------ - 293 = 517

5. The cost of 4 grapefruit is $1.00. How much will 7 grapefruit cost?

CHALLENGE

Look for a Pattern in these stai rcase numbers.

D cB 3 6

Draw the next staircase. How many small squares does it contain? ____________ _

Copyright © Dale Seymour Publiicatiolns

1. Solve mentally.

$.99 + $1.99 + $2.99 + $3.99 ::: ____ _

(a) How many dimes are in $5.80?

(b) How many nickels are in $5.80?

3. Draw a rectangle whose width is about one-half its length.

4. Find the-perimeter of this triangle.

5. The perimeter of a square is 500 inches. How long is each side?

CHALLENGE

Use a Systematic List is an important problem-solving stra~egy.

Suppose you throw 3 darts. All of them hit the target.

Complete the list to show -ali 10 possibilities.

Copyright © Dale Seymour Publications

10

11/ v'1 /y

35 cm

5 1

V V

TOTAL

'!JO 15

WARM-UP 8

1. This problem can be done mentally. See if you can discover the method.

5 x 9 x 15 x 11 x 0 x 43 + 93

2e The length of AS is 1 inch. Estimate the width of this paper in inches. Do not use a ruler.

3. Estimate the length of this paper in inches.

4. Use Guess and Check. _ What number times itself is 1225?

5. Complete this pattern.

$.35, $.50, $.65, $.80, __ , _, _

CHALLENGE

Mr. Crow Dog has lots of nickles, dimes, and quarters.

Use the Systematic List strategy­

Show all the ways he can make change for 50¢.

25

'Iv v' V

A

~ B

10 5 TOTAL

50¢

vv' 50¢

V vV'v 50¢ 50¢

50¢

50¢

50¢ 50¢

50¢ 50¢

Copyright © Dale Seymour Publications

1. Solve this problem mentally.

Nathan went to sleep at 9:15 P.M.

He woke up at 7:00 the next morning. : How much sleep did he get?

2. The length of AS is 1 centimeter.

Estimate the length of your pencil in centimeters.

A

\

3. Draw a square that has a perimeter of about 4 cm ..

B

4. Slim has $8.00 to spend on hot dogs and colas. Hot dogs cost 75¢ each. If Slim buys 6 hot dogs, how much can he spend on colas?

s. Write a story problem involving Slim. Use hamburgers and shakes in your problem. Se sure to solve your problem.

CHALLENGE

Rajiv was studying the menu. He has these choices.

1 st course - soup or satad 2nd course - chicken, beef, or fish 3rd course - pie or cake

Use a Systematic List to show all combinations of three-course meals.

Copyright © Dale Seymour Publications

I

1. Find a path that adds up to the number at the bottom. You may enter any open gate.

2. Round to the nearest dollar.

START

7 10 9

++ 15 6 5

++ 4 12 7

40

(a) $5.91-- (b) $17.03-- (c) $11.85-- (d) $.97---

3. Nicole bought some items that cost $5.91 J $17.03, and $11.85, arid $.97.

(a) Make an estimate of the total cost. Estimate

(b) Find the actual cost. Answer

4. What is one less than one million? __________ _

5. DDD X 5

1 1 0 5

CHALLENGE

Make a Drawing is another important problem-solving strategy. Use a drawing to help you solve this problem.

Some girls are standing in a circle. They are evenly spaced and numbered in order. The 3rd girl is directly opposite the 7th. How many girls are in the circle? ---------------

Copyright © Dale Seymour Publications ~

Place'Value: Add and Subtract

Name: ~----------------------

1.. What Dumber is represented by the following group of blocks?

2. Place the commas correctly in each of the folJowing numbers:

89 750 00] 654 321

3. Write down the value of the 'underlined digit:

, 58,B71

24.2,067

7,1.17}421

The value of the 8 is '

The value of the 9 is '

The value of the 4 is ..

, , . .

4. \yrite, the foHowing number in expanded n?tation:

835,917 = t~ ; -'.

5. Write the ·standard numeral: '

(6)( lq,OOO).+J3x 1,000)'+'(2 x 100) + (1 x.JO) + (5 xl) = :. ....

831

6,742 '.

45,093·

581,462

$74.52, ':.

" -$3.'98 :.~'-: ;.,.

Place Value:, Add and Subtract

7. Write 4 equations to go with each of these diagrams:

7 8 15 b

8. Estimate the sum or djEference:

41 +68+35+ 14

9,014 - 2,768 :

293 + 402 + 4.81 + 843

9. Use renaming to find the value of each' expression:

8 tens + 14 ones = 6 hundreds + 18 tens + 5 ones =

57 tens = 83 hundred~ + 6 teris + 18 ones~ .

10. Use the properties of addition and renaming to soive··the following equations~

9+.6=6+ Name the property:

. 714 + 86 :: 86 + (70P'+ +)- 28 .. + 53 = 53 + (' + 8)

506 .:.- 35· z 34 + .

Name the ·propertY:·

56 + ( -'~r== '56 .

(74 + 18)-~. ( + 3"9 r - 40 = 17. .

Nrune .the· property: :

.Name the property: .. '

PI'ac~Va'lue: Add a 'f) 'd , Subtro:tt ,

] ]. Solve thes~ equations for n:

n + 293 = 562 n = n - 856 == 754 n ==

60] == n - 87 n = 238 = 549 - n n ==

] 2. Solve and check your work. Show your check.

98763

-' 3945

, ] 3. Solve the foHowjng ,problems:

Check:

+ 3945

ot 37iP3

] 0 + 20 + 30 + 40 + 50 + 60 +70 + 80 + 90 =

9834

- 2908

396

+ 794

800000

532986

..... ;: '.

". : .. l.. :.

8010

- 5093

IIIII

Name --------------------------

]. Write a multiplication eguation to go with each picture:

00000 00000 00000

:xxxx:xxx

xx:x:x:xxx

#####

#####

#####

#####

#####

2. Complete this m'ultipHcation table:

x 0 4 9

8 0 72

5 20 45

9 36 .-." ...

c" 24 ; -'<./ .;

eguatlon:

equation:

egua'tion:.

7

59

63

" •• y~'

Multi' I·i-cdtion.

'.3. 'Use ·the·properties '~f.in~tiplicatiot:t t~ fill in the' blanks. writ~ down the name of th~·pt9peity you ~e.: ..

7 i 64 = 64' x 7 pX-:0perty:.

4 x (9 x iO) = (4 x 9) x'10 property: ...

7 x (10 + 8) = (7 'X 10)' + (7 x ·8) p~operty:"

Multi lication.

65 x = 65

9 x ] =='

___ 4~.--,U~se~e-$€-GF@-t-le-fi·fJd-t-he-PTodu cts:

4 x 70 ==

8 x 600 =

90 x 40 ==

300 x 80 =

property: .

property:

5. Using the associative and commutatjye prope.rties;r rewrite the following probJerns, looking for groups of

ten or one hundred to make the mu1tjpJjc?~jon easier. Then flnd the product.

6.

3 x (5 x 2) x (2 x 5) x 7 x (5 x 2) x 3 == 3 X 3 X 7 X 10 X 10 X 10

product: i

(25 x 4) x 6 x 3 ==

product:

3x5xllx2=

product:

Compute:'

98

x 4 907

x 3

2583

x 8

68

x 27

893

x 76

7: Use the distributive property to :f~:write ilie ~ultip1ication ·p.t~blein. :Then find·the;produtt ..

6 x 453:::; (6x )) + (6.x50) + C .x3)

Product:

'.g~ ~en you m~tip1y two ·~dd nu~bers will the .product be 'o'dd or even? Answer:

I I I MuIr ication

-what combjnatjons of five odd or even factors wj11 give you an odd product?

Answer:

** 9. Complete the fol1owing tables. Then write the correspondjng equatjons.

TabJe ]: x y

6 2]

3 9

] ]

5

8

0

. Equation: y == /

Table 2: x y

4 13

7 22

0 1

2, ' .

9 -

3 10

Equation: y = :

Division

Name

1. Draw an array to find the mjssjng factor i,n the equatiem:

4 x = 28

2. Rewrite the equation as a division equation:

3. Draw a picture to show that 29 = (q x 8) + r;

4. Use the «multiple secret» to fill in the blanks 'in the foHowing equations:

8 x, ~ 560.

420.0. -7- ": = 60b

6x

4~ Divide:

, ,

-,'

" = 540.0.

7148732

: 5. Solve using long division and check,

810.0.+90.=

480. 7 = 80

720.07' ',= 9

The divisor is 8 and the dividend 1St 434~ The q:uotient is 54.

The relriamder is 2.

'32~6::::; (q ~ 5) +'r

q::::; "

r=l

3,90.074 =,

IIIII Division:

6. Compute:

64 + 856 + 2,985 + 145 = 70,006 - 9,853 =

7) 0] 4 - 768 = (361 + 643) x 4 =

83 x 46 = . (35 + 35) x 20 =

376 = (q x 60) + r, q = r =

7. Use repeated subtraction to show 32 7 8 = 4.

**8. Find the dividend: 912319

**9. Solve: 72 , 653

**10. Fill in the missing spaces on the table. Then write down the equation.

x y

3 17

0 -4

1 3

2 ......

·5 ..

111 I I . ~quation: Y =

**11. Find two c~nsecutiv~ numbers whose product is 1,332 ..

Name:

1. Write down a fraction that describeS each of the pictures:

Fraction: .

Fraction:

2. Draw a picture that represents each of the foJJowing fractions: 1

4 3 8

1 1. 3

3. Rename each of the fol1owingfractions to its simplest forJ?:

8 35 -16 45

9 42 15 48

'. . . .

4. Rename each of the following fractioJ)s to a mi;&:ed .nUinber: .

~. ~'= 8 7

19 48 _ - -,c.. .v 5

7 1 ·9 3 ::t : :::

6 7

8 t 1..!. - -' = -f. 12

Fractions'

Fractions

6. If a

= I, what do you know about a and b? -b

If a < 1, what do you know about a and b? -

b If a

> 1, what do you know about a and b? -

b

7. Name three fractions that are equal to ~: 8

3 8

8. Solve for n: 5 n 6 - 18 ' n =

n 3 24 = 4 ,n =

9. Fill jn the blanks using >, <, or = :

1 I

5 8 7 9

8

9

2 -

3

5 10

8 -9

21

n

32 - , n= n

7 11

,n =

3 -

4

3 -

6

10. Place the following fractions in order from least' to greatest: 3 5 1 3 4' 8' 2> 3

5 9 6

11

11. Solve the foIlowi~g problems. Write all anSWers in sImplest form .

.2 1. Z 3 5 2 6 6.. 2 2 9 9

1. + 2 . _ **2 ~ + 5 .2 8 8 3 .6

j:

5

. + .~ 3

~"..---:~'

.~

5 '6·

3 8.

2.

9·

'+ r· . 6

-"-"~'~

Ii 12

."(,.: ... ·.r

I **8 .3

... ~.':~ ~:' .. :.

IIIIIII

4 -7

3 -5

D-ecim'ols

Name, ____________ ~ ______________ __

1. If D ~ 1 , what decimal is represented in this picture?

II 2. Rename to a decimal:

3 10

137 ],000

Answer:

17 100

6~ ]00

9 1,000

400~ 1,000

3. Rename to a fraction or mixe~ number. Remember to 'W;I~te'a11 fractions in simplest form.

5 -. - ~05 = - 6.25 =

.18.1 == 400.04 ~

4. ~at number is .represented? .

(9 x 10) + (4 ~ '1) + (7 X ~ ) + '(6 x ~~-) + (2 X ~)' =': , 10 100' 1,000 -

5. Write'in expanded nbtation.' U~e b~th forms. ~C;7 OQh -'-',./ r "-' 'U'"./"'" -

= f •• .~

~ 125 "=

III .11 ·1.· 6. Round to the nearest tenth:

.47 .52 .093

Round to the nearest hundredth:

.492 .786 29.0095

7. FiU in the blanks with the appropriate symboJ: >,<, or = :

.. 6 .61 .423 .43

.3 .30 .6 .. 8

8. Arrange in order from least to greatest:

.08

.7

.359

.9

.4333

Answer: .

9. Compute~

7.83

.;.. 2.97

.. 376 +. 2.098 + 58 + 9.2 ~

9.876

- 3.976

.09 : .90

.7 .009

Decimal's

7.65

13.633

.006 .06

]

2 : .5

Name: ______ -----------------------

1. Fill in each of the blanks with the correct number:

3 feet == lnche-f

64 ounces == . c-ufJ

]2 weeks == : dayr 10 kilometers == me/err 64 quarts == .Jal/f/i'lJ

16,000 grams = . kilQgrams

2. Compute:

·3;· Write the tiine: .

4 feet 9 inches

+ 4 feet 8 inches

6 quarts

5 quarts 1 pint·

Measure·ment

4 pounds 8. ounces

~ 1 pound 9 ounces

i 0 hours 57 minutes

.+ 15 minutes

Geomet

Name: --------------------------~---

1. Draw a picture to go with each of the foJlowing. Be sure to label your pictures.

Point

Intersecting T • LInes

Trapezoid

Diameter

@'"-"' .. ~." ... ~ '. '.~ • c

Ray Line Segment

Parallel Triangle -. . Llnes

\.

ParaJ1 eI o gram"

Radius Pentagon

III III

Line

Square

Rectangle"

2. How "mariy differen~ lines can "be dra,v~ tt;Jough"tii~" point .A? IlluStrate you~ anS"uer.

"Answer:

, ,

?3.How m'~lny different Jines can be drawn th~H pass through hath points C and D? lUustrate your answer.

• C

4. Find the area of each polygon:

7 cm.

D

4 cm. 11---1 __ ----11.

4 em.

7 cm.

6 in.

7 in.

5. Find the perimeter ·of each figu~e:

7 ft.

Sm.

,6

ft. &--_----:.. ___ --1116 ft. 7 ft.'

i () m. . " 2 in.,

7 in.

12 in.

'4 in.

, 7 in:

1in·LJnn. '7 0'

f ill.

Area =

Area =

Area =

, Perimeter:::: '.

, PerImeter =.','

Summer Mad Minute Quiz Score:

Name: --------------------11

x 11

11 x 12

9 x 9

3 x 6

5 x 11

12 x 9

6 x 5

6 x 12

3 x 4

9 x 7

12 x 6

4 x 12

12 x 4

12 x 10

10 x 4

3 x 3

10 x 3

5 x 2

4 x 11

11 x 6

3 x 9

7 x 9

10 x 7

11 x 7

10 x 7

12 x 8

6 x 6

3 x 3

8 x 9

9 x 7

(in 2.5 minutes) Sheet #: 1 a

Date: -======-__ _

7 x 5

4 x 3

9 x 8

6 x 10

.5 x 4

10 x 6

2 x 11

2 x 11

4 x 3

5 x 4

12 x 4

5 x 8

8 x 10

10 x 11

7 x 11

6 x 4

3 x 12

4 x 3

9 x 3

8 x 2

9 11

4 3

12 x 3

12 x 12

10 x 2

6 x 2

9 x 5

6 x ,9

5

3 x 3

5 x 7

8 x 11

12 x 2

2 x 12

3 x 2

12 x 5

12 x 11

8 x 6

8

5 x 2

11 x 2

7 x 2

10 x 2

8 x 9

11 x 6

9 x 11

6 x 4

6 x 5

11 x. 6

9 5

Sheet #: 1 b

11 x 7

4 x 8

9 x 4

9 x 4

'10 x 8

9 x 6

3 x 5

5 x 9

3 x 9

9

~12

8 x 8

10 x 6

5 x 5

7 x 9

2 x .8

12 x 9

10 x 2

9 x 10

4

Summer Mad Minute Quiz

Name:

10 x 5

8 x 12

8 x 6

3 x 6

8 x 6

4 x 9

9 x 4

8 x 5

9 x 9

4 x 8

9 x 2

11 x 9

2 x 8

3 x 10

7 x 5

11 x 2

12 x 9

11 x 3

12 x 12

9 x 5

Score:

7 x 10

12 x 12

8 x 7

8 x 9

6 x 2

9 x 3

4 x 11

7 x 4

10 x 3

12 x 11

(in 2.5 minutes) Sheet #:

Date:

5 x 5

2 x 4

11 x 8

9 x 2

.6 x 12

5 x 8

5 x 4

11 x 10

11 x 6

8 x 11

2a

8 x 2

6 x 9

11 x 3

3 x 12

3 x 2

9 x 10

2 x 2

7 x 8

10 x 12

5 x 8

4

11 x 4

5 x 6

3 x 6

2 x 8

5 x 10

12 x 7

10 x 11

4

5 x 5

2

5 x 2

8 x 9

6 x 12

12 ..

x 11

3 x 11

9 x 2

11 x 11

5

2

4

7 x 2

3

11 x 6

5' x 7

8 x 3

4 x 7

7 x 7

4 x 9

5 x 12

Sheet #: 2 b

10 x 3

4 x 6

8 x 8

3 4

10 ' x 12

3 x 7

5 x 8

8 x 11

2

7

12 x 3

9

12

8 x 10

3 x 4

12 x 4

7 x 5

10 x 4

5

2 x4

Summer Mad Minute Quiz

Name:

12 x 9

7 x 11

6 x 2

3 x 11

5 x 6

11 x 8

6 x 4

3 x 12

5 x 3

9 x 6

5 x 10

9 x 12

2 x 6

8 x 9

3 x 10

7 x 5

8 x 10

10 x 2

3 x 6

4 x 12

Score:

5 x 7

8 x 12

12 x 12

10 x 8

3 x 3

11 x 2

12 x 9

11 x 3

6 x 9

2 x 10

(in 2.5 minutes) Sheet #:

Date:

4 x 8

10 x 6

10 x 10

11 x 10

.. 11 x 3

8 x 7

4 x 3

4 x 6

8 x 7

9 x 11

3a

11 x 4

3 x 11

3 x 11

8 x 8

9 x 12

5 x 6

3 x 9

8 x 8

9 x 6

9 x 4

2 x 7

2 x 7

11 x 6

12

8 x 6

8 x 10

3 x 8

10 x 8

6 x 10

10

9 x 6

9 x 8

3 x 4

2 x 6

-9 x 5

4 x 6

9 x 12

"9 x 12

12 3

7 x 10

7 x 7

8 x 3

8

10 x 4

6 x 2

12 x 12

10 x 3'

2 x 4

2 x 4

8 x 9

Sheet #: 3 b

5 8

7 x 9

9 x 12

4 x 8

8 x 3

12 x 2

12 x 6

2 x 2

6 v 11 A. I I

9 x 8

7 x 6

7 x 9

11

8 x 2

2 x 9

9 x 10

6 x 8

7 x 5

7

5 x 12

Summer Math Fun Answer Key

Seacrest Country Day School

For 4th Grade students entering 5th Grade

TEACHER'S ,·COMME:NTA,RY Answer Key

WARM-UP 1

1. $8.90

2~ '$1.10

3 .. Changeffom$10.00

$5.01 Emphasize the importance of $3.25 doing problems mentally. . $2.05 SrudeniS should be given an $.90 opportunity to discuss their

mental computation procedures.

4~ $14.99

5. Problems wiJI vary.

Students will have many opportunities to write problems of their own Their problems should be sha.red as offen as possible.

'CHALLENGE

a) 10

,-b) 15

:WAffM--UP 2

.1. a) ~ '.b) 58

c) 59,.' ,d) 99 e)."22. ,',

, . ~f)' ,~~~ .: .~ , g):.82, .. h) 11U

:'2., 3;333 3 .. 122cm

.: -..

Encourage all students fo 90 the ChalJenge in Warm-Ups 1-through 15. These introduce and reinforce problem-Solving strategies that can be used frequently in later problems. You may wish to start a buijerin board display ~hat '(Sis f]8ch problem-­solving strategy as it is introduced $ee problem Solving ;0 MathemaUcs~ written by the Lape County Mathematics . Project; for more problems that , can be solved by using this strategy. This bOok i$ alsO avai!;Jble from -pale Seymour Publications ..

students should hav-8 en '-' -Opportunity to dis~uss theif I' , •

. mental computation procedures.

4~ Answers wnJ vary.

5. $415

CHALl.ENGE . , 6 dimes and

4 nickels

WARM-UP 3

1.

15

7

n 22

11

JJ

36

2. 1,999

3. 86 feet

4. 1081eet

e 26

Discuss the importance of adjusting or refining a guess when using the Guess and Check strategy .

Students may be surprised that the final answers are the same. Of courseF this will always be the case, but studenrs should be allOWed to discover this for Ihem­selves. Once again mental computation should be stressed.

DisCuss different ways students used to find Ihe perimeter.

2 x 15 -t 2 x 28

2'x (15 -+ 28)

15+18+15+18

Point out that this is a perimeter problem.

5'- Problems wiJI Sludents should have a chance vary _ ' to sli,are their problfJms wl.lh 'theit ~

CHAllENGE' 15

WARM;.UP4

1~

36 .1-6

22 '28

. =

=

52

50 » ., ~ 58 44

, .

classmates.

Emphasize the importance '01 refinIng a guess when using the Guess and Check strategy • .-' . ,

Mental compUtation ~oiJtd , be emphiJs!zecl Fo;'more· ,menlal computalidn, see Mental Math ;n the Middle, . Grades, Da'~ Seymour

. ~iJbIFcallon$~

Point c)u., 'iha~ this problem can lie .. '$Owed meJ#a(ly if the numoors -aregroupedpropeily: . (19 of 21).j. (40'+'42).

'. 2.. ~) $3,;00 _b) $4A>O

c} $5:0Q ".

3. A reasonable estimate is $14.00. The answer is' $13.87.

4. $1.49

5 .. 13

CHAllENGE

Note the connection between this problem and problem 2. Emphasize the importance of rounding when making estimates.

a} 1, 8, 15, 22r Refer to Problem Solving in 29,,36 Mathematics for more problems -

b) 2.4,8.16, that use Look for a Pattern and 32, 64 other problem-solving strategies.

c) 20,16,12.8,4,0

d) 1,3,6, 10} 15,21

WARM-UP 5

1. ProbJems will vary: The resuHs should be the same. Perhaps som& students will discover why the final answers are the same, regardless of the numbers used.

, !

2. a) $8.00

b) $7.00

c) '$10.00

'd) $1.00

3" Responses will vary. , '

4 .. ' A reasonable Students should realize the ' estimate is $13.mj. imporlance of estimation in' The answer is mathema.tics. For more '$13.33. ' estimalionpractice, see-

5. $1.70

CHALLENG'E

1x9+2=

. 12x9+3:; 11

111

123 x 9 + 4 .=' 1111.

1234x9+5 ~ 111'11

COmputational Estimation, Dale Seymour pubiicalions ..

2. See student's drawing.

3~ a) $600

b) $300

c) $1700

4. 810

5. $1.75

CHALLENGE

This pattern is called the Triangle Number Pattern. It occurs often in mathematics,

1 0 small squares

WARM~UP7

1. $9.96

2. a) 58

b) 116

The answer can be found by subtracting $.04 from $10.00, .

3. See student's drawing.

4. 85 em Emphasize mental computation.

5. 125inches

. CHALLENGE '

10 '5 ' 1 '

./~.L

././ .I'

././ .".

/ ~ ".1'/

,/ .I' ," ./ i.l '

.1'././

.(.1' ./

.I' ,/./

-/...rj

WARM--UP',

Total, 30 25 21 20 16 1,2 15 11 7 3

You should display this completed list for' students to see. Stress the systematic way the lIst is organized.

, .,

1 .. 93 . . Emphasize the use oflhe muJ!ipDcatlon properly of o. ,

2.. Answers wiJJ' Students should be allowed,to :" '.' vary.. . use a ruler only after they htive .

'made an estimate. ' 'WARM-UPS .. ,1 .. ' a) 15

, 'b).69 c) 87 d) 40 e) 12 f}95 ,g) 35 h) 16' -

Have :siuiients disouss:fhelr, menta; col1!putatilih.:," , .

.. Ii

'.

3. ~riswers will vary.

.~. ~~ ,

5. $.35, $.5Q, $;S5 t $.80; $.95_ '$1.10,11.25 ,

CHALLENGE

25 10 5 ,/1'

./ ~/ ,/

./ ./ ,/,/,/

. ./ '/'/,/.1,/

.I'~.I'/I'

./'/.1'/ ,/.,/

//./ ,/",/.1

.1'/ ,r/,/,/,/.I

~ ,/.1.1,//,/.1,/

J./""./,/J,/,/,/

WARM-UP 9

1~ 9 hours and 45 minutes

..

Total 50~ SOt SOt SO¢ 50¢.

·50¢ .50¢ 50¢ 50¢ .50t

Stress the systematic way thai this list is organized.

2. Answers wiH Students should be allowed vary ~ to use a ruler only after they have

made an estimate. .

3. See student's drawing.

4. $3.50

5. Problems wiJI vary.

CHALLENGE

There are 12 possible combinations:

soup-.chfcken-p;e

soup-chicke Ji. cake

soup-beef-pie

soup-beef-cake

sovp:-.1;sh-pie '

_soOp·:fish~ake·

The other six combinations-are the same as above except that "soup" is repJaced by· '!saJad.7t

WARM-:UP10

STA~T . EmphfJslie. (he IJse;of . mental comPutaiIon ..

40

2 .. a) $6 . . . ,b) $17,

c). ~12 . ~ -: .. ~. 'd) . $1 J)O

.~. ~). A reasonab'f£f- Pointmltlhe ionJredtion . estimate Is $36.. ~een problem 2 and

. . '.~ . . /proolem 3.

'b) $35..76

4. 999,999

. 5. '221

CHAllENGE 2

Emphasize place value.

Emphasize the use ora drawing to help in solVing the problem.

BJ.--------;Il------I 4

6

,

III1IIIII

Name: ---------------------

Answer Key Place Value: Add and Subtract

1. What nu~ber is represented by Jhe folJowing group of bl<?cks?

Answer: 357

2. PJace the commas correctly in each of the foJJowing numbers:

6542..321

3. Write down the value of the underlined digjt: ..

58~B.7] The value of the 8 is 8 hundred.

The value of the 9 is 9 thousand. · 24.2,067

7,417,.421 The value of the 4 is 400thousand.

. 4. Write the foll<;>wing number jn exp~ded notation:

835,917 = 800,000 + 30,000 + 5.000 + 900 + 10 + 7

5. Write the standard numeral:

· (6 x 10,000) + (3 x 1)000) + (2 x 100) -I- (1 ~ 10) -I- (5 x 1) -;::; 631215

6~ Round to die greatest place value: -

£31 800

· 6,742 7.000

, .

45,093 50,000·

581, 462 . 600.000 .

. $74.52 $70.00

$3 .. 98 $4.00-'

Place Value: Add and Subtract

7. Write 4 equations to go with each of these diagraJns:

I 7

7 + 8 = 15

8+ 7=15

15 -7= 8

15-8=7

8 15

8. Estimate the sum or djfference:

41 + 68 + 35 + 14 ~40+70+40+10=160

9,014 - 2,768 :=::: 9,000 - 3,000 ~ 6.000

a+b~c

b+a::::c

c-b=a

G-a==b

293 + 402 + 481 + 843 = 300 + 400 + 500 + 800 == 2.000

9. Use renaming to find the value of each expression:

Answer Key

b

8 tens + 14 ones:::; 94 6 hundreds + 18 tens + 5 ones::::; 785

57 tens =: 570' 83 hundred~ ,t 6 tens + 18 ones := 8,378

10. Use the properties of addition and renaming to solve·the following equations:

9 + 6 :; 6 +9 Name th~ property; Commutative

724 + 86 ~ 86 + (700 +20 +4)

506 + 35 ;: 34 of 507

(5 + 9) - 9 = 5 + (9 ~ 9) .

(29+ 7) - 7 = 29

(74 + 18) - 19 ~ 73

I.

28 + 53 :: ?3 + (20+ 8) .

Name the property: Inverse Operations

56 + (8 - 8) c:: 56 .

(18+ 39) -,40 == 17

Name th~ property: Identity

Name the propertj,:" Associative

11. Solve these equations for n:

n + 293 ::: 5~2 n = 269

60] = n - 87 n = 688

Answer K~y

place Value:' Add and Subtract

n - 856 :::: 754 n:::: 1,610

238 ;::;: 549 - n n:;:: 311

]2. Solve and check your work: Show your check.

98763

-'3945 94,818

] 3. Solve the following problems:

Check: 94,818

+ 3945

98,763

J 0 + 20 + 30 + 40 + 50 + 6q +70 + 80 + 90 == 450

9834

2908

6,926

,.:: .. , .. ,' ',--:,',' '"

396

+ 794

1.190

800000

- 532986

267,014

. '., . .,.,}' , .....

80]0

- 5093

2,917

Name ________ ~ __________ ~_

1. Write a multiplication equation to go with each pictu.re:

00000 00000 00000

#####

#####

#####

#:/t###

#####

2. Complete this multiplication table~

x o 9

8 0 .32 72

5 0 20 ·45

..

9 0 36 81

6 0 24 54

equation; 3x5= 15

equation: 2x7=14

equation: 5x5:=25

7

56

35'

63

42

Answer Key

Multi lication

3. ,Use the properties ~f multiplication to fin in the blanks. Write down the n~e of th~ property you use~ 7 x 64 = 64 x 7 propert,t: Comm~tfVt~

4 x (9 x 10) = (4 x 9) x 10 property: As.5ociatfv8

.7 x'(lO -I- 8) ;::; (7 x ~P) + (7 i. 8) .'property: Dfs:trfbutive

\,

-A-nswer r\ey

MultipHca!~ ,'111111111 65 x 1 = 65 property: Identity

9 x ] :::: 9 property: Identity

4. Use the secret to find the products:

4 x 70:= 280

8 x 600 ~ 4.800

90 x 40 = 3,600

300 X 80 :::: 24,000

5. Using the associative and commutative properties, rewrit~ {he foJJowing problems, looking fOJ groups of

6.

ten OJ one hundred to make the muhjplic~tion easier. Then find ~he product.

3 x (5 x 2) i (2 x 5) x 7 x (5 x 2) x 3 := 3 x 3 x 7 x 10 x 10 x 10

product: 63.000

(25 x 4) x 6 x 3 =7 ,100 x 6 x 3

proquct: 1,800

3 x '5 x 11 x 2 == 3 x 11 x 10

product: 330

Compute:,

98 907 :x 4 x 3 392 2.721

2583 x' 8

20;664

68

x 27

tl?36

893

'x 76 67.868

7 ~ 'Use the distributive property to ~rite the' multiplication p~oble11l. Then 'find the' product ..

6 x 453 ~ (~x 400) + (6 X 50)"+ (6 x3)

Product: ~ 718

8. -when you multiply two ~dd numbers" will the product be odd or even?

. Answer: Odd

What combinations of four odd or even f~cto!s will give you an even £foduct?

Answer:' 4 event 0 odd; :3 even. 1 ~dd: 2 eve~: 2' odd; '1 event ,3 qM .

Answer Key

Multi lication

What combinations of five odd or even factors will give you an odd product?

Answer: 5 odd

** 9. Complete the fonowing tables. Then write the corresponding equations.

Table] : x y

6 21

3 9

1 1

5 17

8 29

0 -3

Equation: y = 4x - 3

TabJe 2= x y

·4 13

7 22

0 1

2 7

9 28

3 10.

Equation: y = Sx + 1

Division

Sanlule 'fest .1.

Name ______________________ ~ __ _

1. Draw an array to find the missing factor jn the equation:

4 x 7:;: 28 xxxxxxx xxxxxxx xxxxxxx xxxxxxx

2. Rewrite the equation as a djvision equation: 28 + 7 = 4

3. Draw a picture to show that 29 = (q x 8) + r:

Answers will vary.

4. Use the "multipJe secret» to fiJ1 in the blanks in the following equations: _

8 x 70 = 560

4200 + 7 =" 600

6 x 900 t:: 5400

6961 r5 il48732

8100 + 90 = 90

480 + 6 = 80

·7200 + 800 ~ 9

5: Solve usi~g 1:ong division and check:

The divisor is 8 and the dividend is, 4~4.

. The quotient is 54.

The remainder is. 2.

3286 == (q x 5) .:;.. r . q=657

r =.1

3,900 + 4 =:: 975

Answer Key

IIII III

1°11111 6. Compute:

, 64 + 856 +- 2,985·+ 145 = 4,050

7,014 -768 = 6.246

83 x 46 == 3,818

376 = (q x 60) + f, q = 6; r = 16

70)006 - 9,853 = 60,153

(361 + 643) x 4 ~ 4,016

(35 + 35) x 20 == 1,400

7. Use repeated subtraction to show 32 7- 8 = 4. 32 - 8

8 can be subtracted 4 times. 24

**8. Find the dividend:

9r5 **9. Solve:. 721 653

257 r6 912319

- 8

16 - 8

8 - 8 . 0

**10. Fill in the missing.spac~s on the table. Then write down the equation.

x . y

3 17

0 -4

1 3·

2 10

5 31

11 .7'3

Equation: y == 7x - 4

--

nswer Key

-- Divi-sion

**11.- Find two consecutive numbers whose product is 1,332. Answers: 36,Z>7.

IIIIIII

Name: ---------------------------

J. Write down a fraction that describe,s each of the pictures:

4-Frac'tion: i

F . 7

racoon: 10

F . 3 ractlon: 4

2. Draw a picture that represents each of the folJowing fractions: ]

4

, [lJIustrations will vary.] _

3. Rename each of the following fractions to its simplest form:

8 16

1 -2

9 :::: 2)

15 5

35 :': 7 45 9

42 48

7 8

4. Rename each of the following fractions to a mtted, number:

~=7~ ~:::3~ 8 B '7 ,7

19 =- 3 1. '48 :: 9 ~, 6' 6 5 ~-

5. ~ename each of the fo~owiD:g mixed numbers -to a.fraction:,

1 43 ' -3 66 7- -9 - = 6 6 7 7

S! 55 12- 13 ::

4 4 12 12

Answer Key Fractions

Fractions

6. If a = I, what do you lmow about a and b? a= b' -b

If a < 1) wh~t do you know about a and b? a < b -

b If a > 1, what do you know about a and b? a > b -

b

7. Name three fractions that are equal to ~ : 3 6 9 12 8 "8 16.- 24 32 . [Answers will vary.]

8. Solve for n; 5 n 6 == 18 ' n ~ 15

..!.!.. == ~ n := 18 24 4'

9. FiU in the bJanks using >, <, or = : 1 1 - > -

, ? 8

7 8 < -

9 9

2

3

5 .10

8 9

21 n

<

::::::

32 ) n = 36

7 ,n =:: 33 11

3 ,,4,

3 6

10. Place the following fractions in order from least to greatest: 3 ,5 I 3 4'.8'2'3

5. :3 3

5 -9 6· 11

11. Solve the followiJ:lg probJems. Write all answers in simp1t:st form ..

2. 1 2 7 3 ,=2 .5 - = -,6 6 3 2 2 9 1 3 1 **2 ~ ..... 5 2. = 8 2-- + -8 B 2 3 6 6 .

3 5 2 U· **8 ! -

5 6 9 12 3

+ 2 3 1 3 -' 1 3 - - + - ·r 3 8 6 4 4· 11- 7 1 7 115

- 512 24· 18 6

nswer Key

IIIIIIII

4 < 7

3 < 5

2 =

9 :3

nswer'·Key

.Decimdls IIIII 1'1'

Name. __________ ~ ________ ~~ __

1. If D ~ 1 ,what decimal is represented in this picture?

II Answer: .05

2. Rename to a decimal:

~ ==.3 17 :::: .17 ]00

9 i:::.009 10 1,000

137 = .137 ],000

6~]- ='6.01 100

-40022-- == 400.029 ' 1,000 '

3. Rename to a"fraction or mixed number. Remember to write all fractions in simplest form. 1 1 ' 1 1

.5 ::: 2 .05 = 20 6.25 = 6 4' . )25 = "8 1 1"" 1

18.2 = 18 5 243.1 = 243 10 400.04 :: 400 25

4. What number is represented? , . '1 . 1 1

(9 x 10) + (4 xl) + (7 x -) + (6 x -) +,(2 x -) :; 94.762 .' 10 100 1,000

5. Write in expanded notation. Use both forms.

357.096 ;;:; 3 hundreds + 5.tens + 7 Dries +.0 tenths + 9 hundredths + 6 thousandths.

=(3X100)+(5X1?)+(7X1}~(OX 1~ )+(9X"1~O )::(6x.1.0~O j

1111'1111 . 6. Round to the nearest tenth:

.47 .5 .52 .5 .093 .1

Round to the nearest hundredth:

.492 ,49 .786 .79. 29.0095 29.01

7. Fill in the blanks ~ith the appropriate symbol: »<, or = :

.6 < .61

.3:::; .30 .6 < .8

8. Arrange in order from least to greatest:

.08

.7

.359

.9

.4333

Answer: .08 . . 359, .433, .7, .9

9. Compute: .

..

7.83

- 2.97

4.86

9.876

- 3.976

5.9

. 376 of' 2.098 + 58 + 9.2 = 69;674 -

6.54 - 2.986 = 3.554

.09 < .90

.7 > .009

t~ ....: •• l'

Answer Key Decimals

7.65 7.7 .

13.633 13.63

.006 < .06

1 =: .5

2

III

Name __________________________ _

1. FiJI in each of the bJanks with the correct number:

3 feet = 36 inches

64 ounces =: 8 cups

12 weeks ~ 84 days

10 kilometers := 10tOOO meters

64 quarts ~ 16 gallons

16) 000 grams = 1. 6 kilograms

2. Compute:

3. write the tinle.

3:15

4 feet 9 inches

~ 4' feet 8 inches

9 feet 5 inches

6 quarts

"5 quarts 1 pint

1 pint

7:30

Answer Meo§.urement. ey

4 pounds 8 ounces

. - I pound 9 ~unces

2 pounds 15 ounces

10 hours 57 min.utes

+ 15 minutes

11 hours 12 minutes

9:55

Geometr

_ nswerKey

··11111111 ;f ..... '

N~e: ______________ ~ ______ ~ __ _

1. Dra~ a picture to go with each of the fol1owing. Be sure to Jabel your pictures.

Point Ray Line Segment Line

• • ... '

Intersecting , ParalJel TriangJe Square T •

Lines LjneS PIctures

>< ' -may

~ )Do vary. <II( )Do D

Trapezoid ParalJelogram Rho.mbus Rectangle

/- ~ / 7 D I Diameter Radius Pentagon

G G. Pictures

may.. vary.,

2 .. Haw many different lines can be drawn through ·dte point A?-I11ustrate your 2ilswer~ Answer: An infinite number of lines can be drawn.

- .- ,',

~III'IIII Answer Key

Geo'metr

. 3. How many different lines can be drawn that pass through bom points C and D? llIustrate your answer.

Answer: 1

4. Find the area of each polygon: .

-7 em.

4 em. I '----:-------' 4 em.

7 em.

6in.~ 7 in .

. 5. Find the per.imeter of each figure;

7 ft.

7ft.

10 in.; 2 in.

D.in~

7 in: 4' In.

12m.

5m.

5 m:

7 in.

Area;:::: 28 em square centimeters

Area;::: 25 m square meters

Area = 21ln.square jnches .

Perimeter:::: 26 ft.

Perimeter = 28 In.

Summer Mad Minute Quiz Sheet#: 1 a

11 12 3 7 12 x 11 x 6 x 9 x 5 x 4

121 72 27 35 4.8

11 4 7 4 5 x 12 x 12, x ~ x 3 x 8

132 48 63 12 40

9 12 10 9 8 x 9 x 4 x 7 x 8 x 10

81 48 70 72 80

3 12 11 6 10 x 6 x 10 x 7 x 10 x 11

18 120 77 60 110

5. 1D . 10 5 7 x 11 x 4 x 7 x 4 x 11

55 40 70 20 ·77

12 3 12 10 6 x 9 x 3 x 8 x 6 x 4

108 9 96 60 24

6 10 6 2 3 x 5 x 3 x 6 x 11 x 12

30 30 36. 22 ' 36

6 5 3 2 4 x 12 x 2 x 3 x 11 x 3

72 10 9 22 12

3 4 8 4 9 x 4 x 11 x 9 x 3 x 3

12 44 72 12 27

9 11 9 5 8 x 7 x 6 x 7 x 4 x 2

63 66 63 20 1G

Summer Mad Minute Quiz Sheet#: 1 b

9 5 11 11 12 x 11 x 7 x 2 x 7 x 3

99 35 22 77 36

4 8 7 4 8 x 3 x 11 x 2 x 8 x 8

12 88 14 32 64

12 12 10 9 10 x 3 x 2 x 2 x 4 x 6

36 24 20 36 60

12 2 8 9 5 x 12 x 12 x 9 x 4 x 5

;

38 144 24 72 25

10 3 11 10 7 x 2 x 2 x 6 x 8 x 9

20 6 66 80 63

6 12 9 9 2 x 2 x 5 x ..,L 11 x 6 x 8

12 60 99 54 16

9 12 6 3 12 x 5 x 11 x 4 x 5 x 9

45 132 24 15 108

6 8 6 5 10 x 9 x 6 x 5 x 9 x 2

54 48 30 45 20

5 8 11 3 9 x .a

X 8 x 6 x 9 x 10 .q

20 64 66 27 90

3 5 9 9 4 x 3 x 2 x 5 x 8 x 11

9 10 45 72 44

Summer Mad Minute Quiz Sheet#: 2 a

10 9 7 5 8 x 5 x 2 x 10 x 5 x 2

50 18 70 25 16

8 11 12 2 6 x 12 x 9 x 1,2 x 4 x 9

96 99 144 8 54

8 2 8 11 11 x 6 x 8 x 7 x 8 x 3

48 16 56 88 33

3 3 8 9 3 x 6 x 10 x 9 x 2 x 12

18 30 72 18 36

8. 07 00 6 6 3 x 6 x 5 x 2 x 12 x 2

48 35 12 72 6

4 11 9 5 9 x 9 x 2 x 3 x 8 x 10

36 22 27 40 90

9 12 4 5 2 x 4 x 9 x 11 x 4 x 2

36 108 44 20 4

8 11 7 11 7 x 5 x 3 x 4 x 10 x 8

28 110 66 I

40 33

9 12 10 11 10 x 9 x 12 x 3 x 6 x 12

81 144 30 66 120

4 9 12 8 5 x 8 x 5 x 11 x 11 x 8

32 45 132 88 40

Summer Mad Minut~ Quiz Sheet#: 2 b

4 2 4 10 12 x 7 x 8 x 11 x 3 x 3

28 16 44 30 36

11 5 7 4 9 x 4 x 2 x -2 x 6 x 3

44 10 14 24 27

5 8 3 8 12 x 6 x 9 x 2 x 8 x 12

30 72 6 64 144

3 6 11 3 8 x 6 x 12 x-6 x 4 x 10

18 72 t:!t} 12 80 "V-

2 12 -' 5 -10 "3 x 8 x 11 x 7 x 12 x 4

16 132 35 120 12

5 3 8 3 12 x 10 x 11 x 3 x 7 x 4

50 33 24 21 48

12 9 4 5 7 x 7 X; 4 x 7 x 8 x 5

84 18 28 40 35

10 11 7 8 10 x 11 x 11 x 7 x 11 x 4

110 121 49 88 40

4 5 4 2 5 x ", x " x 9 x ...... x ..

.) 0 ~ "f

12 40 36 -4 20

5 2 5 7 2 x 5 x 10 x 12 x 12 x 4

25 20 60 84 8

Summer Mad Minute Quiz Sheet#: 3 a

12 5 5 4 11 x 9 x 10 x 7 x 6 x 4

108 50 35 32 44

7 9 8 10 3 x 11 x 12 x 12 x 6 x 11

77 108 96 60 33

6 2 12 10 3 x 2 x 6 X 12 x 10 x 11

12 12 144 100 33

3 8 10 11 8 x 11 X 9 x 8 x 10 x 8

33 12 80 110 64

5 3 3 11 9 X 6 x 10 X 3 x 3 x 12

30 30 9 33 108

11 7 11 8 5 x 8 x 5 x 2 x 7 x 6

88 35 22 56 30

6 8 12 4 3 x 4 x 10 x 9 x 3 x 9

24 80 108 1·2 27

3 10 11 4 8 x 12 x 2 x 3 X 6 x a

36 20 33 24 64

5 3 6 8 9 x 3 x 6 x 9 x 7 x 6

15 18 54 56 54

9 4 2 9 9 x 6 x 12 x 10 x 11 x 4

54 48 20 99 36

Summer Mad Minute Quiz Sheet#: 3b.

2 9 7 5 7 x 7 x 6 x 7 x 8 x 6

14 54 49 40 42

2 9 8 7 7 x 7 x 8 x 3 x 9 x 9

14 72 24 63 63

11 3 8 9 11 x 6 x 4 x 3 x 12 x 3

66 12 24 108 33

12 2 10 4 8 x 4 x 6 x 4 x 8 x 2

48 12 An "1"') .fQ. .... v '4J1114ia IIV

8 9 6 8 2 X 6 x 5 X 2 X 3 X 9

48 45 12 24 18

8 4 12 12 9 X 10 X 6 X 12 x 2 X 10

80 24 144 24 90

3 9 10 12 6 X 8 X 12 X 3 X 6 X 8

24 108 30 72 48

10 9 2 2 7 X 8 x 12 X 4 X 2 X 5

80 108 8 4 35

6 12 2 6 7 X 10 X

.., X 4 X 11 X 4 v

60 36 8 66 .28

10 7 8 9 5 X 2 X 10 X 9 X 8 X 12

20 70 72 72 60

· Bibliography

Foresman, Scott and Wesley, Addison, eds. Math~matics. Glenview, Illinois: Pearson Education, Inc., 2004~

McFadden, Scott. Math Warm-Ups. White Plains, NY: Dale Seymour Publications, 1993.

Stanton, Marsha. Building Mathematical Thinking. Toronto: Editors Publishing Service, Inc., 2000.

Staples, 'Caron, ed .. "Seacrest Country Day School Curriculum: . Grade Four." Naples, Florida: Seacrest Country Day School, 2005.