Problems of the Week 1 - NCWiseOwlmath.ncwiseowl.org/UserFiles/Servers/Server_4507209/File...2 Problems of the Week Visual Multi-Step Make a Good "Expression" Problem-Solving ... questions

Grade 7 • Page 1

1Problems of the Week

Visual

Multi-Step

Make a Good"Expression"

Problem-SolvingStrategies

Geometry/Measurement

What Do You Say?

Grade 7

If represents +1 and represents a –2,

then what would the following collection of buttonsrepresent?

Translate into an equation and solve:

Eight more than a number is twenty-seven.

Point of ViewBob and his dad visited the hardware store onSaturday. They observed the followingtransactions: Mr. Harris bought 4 for $0.50,Mrs. Clarke bought 21 for $1.00, Mr. Montarobought 1,134 for $2.00 and Ms. Park bought450 for $1.50 What were they buying?

1. One thing I like about math is __________.2. One thing I do not like about math is ______.3. One thing I can do well in math is _________.4. One thing I would like to improve on in math

is __________.5. This year in math I hope my teacher

________________.

= 55.775 lb

= 30.675 lb

= 37.65 lb

Explain how you solved the problem.

= ? = ?

= ?

+ +

+

+

What is the volumeof this rectangularprism?

4 cm

3 cm6 cm

Grade 7 • Page 2

MentalMath

Essentials

WE

EK

BY W

EE

K1

Keeping Skills Sharp

1.89

– 19

2.7

12 + 1

6

3. 3 yards = ___ feet

4. 2 years = ____ days

5. 5 hours = _____ minutes

6. Rename as a fraction and decimal: 75%

7. 132 ÷ 6

8.16

+ 36

9. 56 – 7

10. 3,290 + 90

1. 8,725 + 1,894 =

2. 24.96 ÷ 80 =

3. 15,234 – 7,500 =

4. 16 + 22 + 43 =

5. Write the prime factorization of 56.

6. Find the GCF of 25 and 35.

7. Find the area of the following rectangle:

8. Simplify: 200 + 25 × 30 – 20

9. Round to the nearest hundred: 249

10. Estimate: 2,347 + 6,782 + 413

12 m

14 m

*See answer key. The Mental Math section should not be duplicated for the students.

Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

Grade 7 • Page 3

1Visual

Multi-Step

Make A Good "Expression"


Problem-Solving Strategies

What Do You Say?

Mental Math

1.79

2.34

3. 9

4. 730

5. 270 minutes

6.34 ; 0.75

7. 22

8.23

9. 49

10. 3,380


1. 10,619

2. 0.312

3. 7,734

4. 81

5. 23 × 7

6. 5

7. A = 168 m2

8. 930

9. 200

10. 9,000

Answer: –1

n + 8 = 27n = 19

They were purchasing house numbers at 50¢ pernumeral.

Use this prompt at the beginning of the year asan ice breaker and as a way to get studentsthinking about math class. Students can finisheach prompt with only one word, or they maywant to elaborate.Things to Look ForLook for students who may feel anxious orworried about their math abilities. You will alsowant to identify students’ strengths as pointedout in #3 so that you can build on theseconfidences, especially at the beginning of theyear.

Answer: 72 cm3

= 12.55 lb. = 18.125 lb.

= 25.1 lb.

This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."

Answer Key

Grade 7 • Page 4


Visual

Multi-Step




What Do You Say?

If 100% of is

and 50% of

is

then what is 25% of ?

Write an equation and solve:

A number increased by 1.6 is nine.

Bertrand, a French mathematician, saidthere is at least one prime between anycounting number and its double. Explainin your own words what this means. Giveat least one mathematics example tosupport your written explanation.

A rectangle has an area of 128 cm2 anda perimeter of 48 cm. The measure ofone side is twice the other side. Whatare the measures of the rectangle?

Find the measure of ∠DIF.

A

B DC

E

FG

IH

JK

135°

Draw a DiagramA ball is dropped from a height of 48 feet.Each time the ball bounces, it travels backup half the distance from which it fell.How many feet has the ball traveled whenit hits the ground for the fifth time?

Grade 7 • Page 5

MentalMath

2


1. 35,000 + 6,000

2. 873 – 752

3. 17 × 1000

4. 40 × 90

5. 312 + 673

6. 2 – 1

7. 66 – 27

8. 10,000 × 12

9. 4 + 5

10. 4 × 800

1. 1,007 – 759 =

2. 4.04 × 0.89 =

3. 234 + 3

18 =

4. 45% of 72 =


6. Find the Least Common Multiple of 12 and 16.

7. A rectangular fence is 27.8 meters by 34.2 meters. What is itsperimeter?

8. 3 + 23 – 5 =

9. Round 2,361 to the nearest hundred.

10. Estimate:

46.8 – 32.97


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

78

12

34

18

Grade 7 • Page 6

What Do You Say?

Answers will vary. Sample example: 12 17 24Counting Prime number Countingnumber number's double

2Visual

Multi-Step




Mental Math

1. 41,000

2. 121

3. 17,000

4. 3,600

5. 985

6. 1

7. 39

8. 120,000

9. 978

10. 3,200


1. 248

2. 3.5956

3. 578

4. 32.4

5. 24 × 32

6. 48

7. 124 m

8. 6

9. 2,400

10. 20 or 14

n + 1.6 = 9n = 7.4

Answer: 8 cm by 16 cm

Answer: 45°

4824241212663

+ 3138 feet

4824

24 1212 6

6 33


38

Answer Key

Grade 7 • Page 7



Visual

Multi-Step



What Do You Say?

If the volume of this rectangular prismis 80 cm3, what is the length measure?

5 cm

4 cm

Translate into an equation and solve.

A number added to eight equals five.

Make a Simpler ProblemWhat is the sum of the first 500 countingnumbers? i.e., The sum of 1 + 2 + 3 + 4 +…496 + 497 + 498 + 499 + 500? How aboutonly the odds: 1 + 3 + 5 + 7 + …493 + 495 +497 + 499?

The following chart showsthe fund raising goal for acommunity. About howmuch money have theycollected so far?

50%

100% $360,000

A triangle is placed on a coordinategrid on which each unit is acentimeter. It has vertices at points(2, –8), (2, 5), and (–4, 5). Find itsarea.

Your name is Herkle and you are hiding outon the Cartesian plane. Write directions toyour location so that your friend Smerklecan find you. Do not tell where you are —just give directions telling how to get there!

Grade 7 • Page 8

MentalMath

3


1. 70 × 7

2. 50 × 40

3.49

– 49

4. 129

10 – 64

10

5. 30 yards = ____ feet

6. 60 inches = ____ feet

7. + + =

8.74 × 2

9. 2 –

10. If you start your homework at6:45 p.m. and finish at 9:58p.m., how much time did youspend on homework?

1. 18 × 5 =

2. 8.26 – 0.79 =

3. 13 – 2 =

4. Rename as a decimal and percent: 38


6. Find the greatest common factor of 24 and 36.

7. Find the area.

8. 24 ÷ [(7 – 3) × 2]

9. Round $624.52 to the nearest dollar.

10. Estimate:

$563.48 + $4.72 + $327

7 m

3 m5 m

4 m


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

12

18

14

47

67

58

38

Grade 7 • Page 9

3Visual

Multi-Step




What Do You Say?

Answers will vary.

Mental Math

1. 490

2. 2,000

3. 0

4. 612 or 6

510

5. 90

6. 5

7.

8.72

or 3 12

9. 1

10. 3 hours and 13 minutes


1. 90

2. 7.47

3. 10

4. 0.375, 3712 %

5. 3 × 53

6. 12

7. A = 69 m2

8. 3

9. $625

10. $900

Answer: $216,000

Answer: 4 cm

Answer: 8 + a = 5a = –3

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 4510 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 =14520's = 245, 30's = 345, 40's = 445, 50's = 545, 60's =645, 70's = 745, 80's = 845, 90's = 94545 + 145 + 245 + 345 + 445 + 545 + 645 + 745 +845 + 945 = 4,950100's = 14,950, 200's = 24,950, 300's = 34,950, 400's= 44,9504,950 + 14,950 + 24,950 + 34,950 + 44,950 =123,750 + 500 = 125,250 answer

1 + 3 + 5 + 7 + 9 = 25, 11 + 13 + 15 + 17 + 19 = 7520's = 125, 30's = 175, 40's = 225, 50's = 275,60's = 325, 70's = 375, 80's = 425, 90's = 47525 + 75 + 125 + 175 + 225 + 275 + 325 + 375 + 425+ 475 = 2,500100's = 7,500, 200's = 12,500, 300's = 17,500, 400's= 22,5002,500 + 7,500 + 12,500 + 17,500 + 22,500 = 62,500 answer

Answer: 39 cm2


78

57

34

Answer Key

Grade 7 • Page 10



Visual

Multi-Step



What Do You Say?

Translate into an equation and solve:

Nine less than a number is three.

Complete the arrows on the mapping diagram. Yournumber pairs should support the relation statement inthe box.

Find the perimeter and area ofrectangle JKLM. What would be thearea and perimeter if the length ofJKLM was doubled?

Act out the ProblemBecome the director and choose your cast toact this out:Joey's little sister, Ella, must take four stepsfor every three steps Joey takes. Supposeone of Joey's steps covers 32 centimeters.How far will Ella travel when she has taken12 steps?

Sarah said: “I multiplied two numberstogether and the product is smaller than oneof the factors.”Write a short paragraph explaining how thiscould happen. What two numbers couldSarah have multiplied? How can the productof two numbers be smaller than one of theoriginal numbers?

25

169

36

16225

495

8

7

1315

4

is the square of 664 1

1

J K

LM

10 cm

5 cm

Kevin saves 34 of the money he

earns mowing yards each week.He earned $12.25 last week and$17.00 this week. Howmuch will Kevin save inthese two weeks?

Grade 7 • Page 11

MentalMath

4


1. If Jim awakes at 6:30 a.m. and leaves for school anhour and ten minutes later, what time does he leave for school?

2.12

47

×

3. 4 × ? = 20

4. 4 – 178

5. 36 × 10

6.3

10 + ? = 8

10

7. 212 gallons = ___ quarts

8. 12,000 pounds = ____ tons

9. ? ÷ 5 = 7

10.15

+ 1115

1. 2007 ÷ 9 =

2. 22.57 + 7.4 =

3. 956 – 4

13 =

4. 37% of 400 =

5. Write the prime factorizationof 153.

6. Find the least commonmultiple of 8 and 6.

7. Find the perimeter.13 ft

13 ft

5 ft5 ft

2 ft

8. (18 – 2) ÷ (1 + 1)3 =

9. Round 0.0341 to thenearest hundredth.

10. Estimate: 43.07 – 3.912


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

(Right angles at all vertices)

Grade 7 • Page 12

4Visual

Multi-Step




What Do You Say?

Mental Math

1. 7:40 a.m.

2.27

or 414

3. 5

4. 218

5. 360

6.5

10 or 1

2

7. 10

8. 6

9. 35

10.1415


1. 223

2. 29.97

3. 512

4. 148

5. 32 × 17

6. 24

7. 56 feet

8. 2

9. 0.03

10. 39

25

225

4964

1

57

13

4

6 1

169

36

16

815

P = 30 cm; A = 50 cm2

If length is doubled, P = 50 cm; A = 100 cm2

n – 9 = 3n = 12

Joey1 step = 32 cm3 steps = 96 cm

Ella4 steps = 96 cm12 steps = 4 steps × 3

= 96 cm × 3 = 288 cm

Students' answers could include finding a fraction ofa number, or multiplying decimal numbers.

34 × $12.25 = $9.186 = $9.19

34 × $17.00 = $17.00 = $12.75

$21.94Kevin will save $21.94 in these two weeks.


Answer Key

Grade 7 • Page 13


Visual

Multi-StepMake a Good"Expression"



What Do You Say?

Find the measure of angle x.

I spent $27 (plus tax) to purchase 9items for school. I bought somefolders at $2 each, some drawing pensat $3 each, and some large looseleafnotebooks at $5 each. How manyfolders, pens and notebooksdid I buy?

Write an equation that represents the problemand solve.

The $37 sale price of a sweater is $16 less thanthe original price. Find the original price.

What is the volume of this cube if eachedge measures 5 centimeters?

Make a TableA certain factory makes bikes and trikes. Seatscome in boxes of six. The foreman hates tohave any leftovers at the end of a shift. If 59wheels are sent by the home office, how manyboxes of seats should be ordered?

62°

61°

55°

112°x°

A school secretary has data on the people absentfrom school for ten days. The absences were: 2,5, 7, 3, 14, 11, 8, 10, 17, 6 on each of the tendays. If you were going to make a graph of this

data on the grid shown, whatscale and interval would youuse? Explain your choices.What did you consider whenchoosing the scale? Whatthings did you consider whenchoosing the interval?

Grade 7 • Page 14

MentalMath

5


1.25 of 45

2. 8 – 323

3. ? + 9.5 = 10

4. Sum of 25 and 52

5. 112 pounds = _____ ounces

6. 0.2 = 100

7.35

56

×

8. 25% = 100

9. 0.08 × 0.09

10. 9 × = 72

1. 825 + 575 + 450

2. 2.72 ÷ 0.8

3. 8 – 2 × 3 =

4. Rename as a fraction and decimal: 5559 %


6. Find the GCF: 18, 45

7. Find the area:

8. 7.4 + (5 – 1)2

9. Round 0.423 to the nearest tenth.

10. Estimate: 434 × 748

12 ft

8 ft


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

?

?

?

Grade 7 • Page 15

5Visual

Multi-Step




What Do You Say?

Mental Math

1. 18

2. 413

3. 0.5

4. 77

5. 24

6. 20

7.12

8. 25

9. 0.0072

10. 8


1. 1,850

2. 3.4

3. 2

4.59

, 0.5

5. 22 × 32 × 5

6. 9

7. 48 ft2

8. 23.4

9. 0.4

10. 280,000

Answer: 70°

Answer: 4 folders3 pens2 notebooks

Answer: 125 cm3

p – $16 = $37p = $53

For one box of seats, the following combinations ofbikes and trikes are possible:

Bikes Trikes Wheels0 6 181 5 172 4 163 3 154 2 145 1 136 0 12

The solution is found by finding a combination ofnumbers of wheels that will add up to 59. Example:17 + 17 + 13 + 12 adds up to 59. Four boxes ofseats could be used to make 2 sets of 1 bike and 5trikes (34 wheels) and 1 set of 5 bikes and 1 trike(13 wheels) and 1 set of 6 bikes and no trikes (12wheels). The four boxes of seats would use up allthe wheels and the foreman would be happy sincethere are no leftovers.

Scales and intervals may vary. When choosingscale, students should be sure to include all values ofthe data. One example of an appropriate scale is 0 to20. When choosing an interval, students mustchoose an interval which separates the scale intoequal parts. Possible scales for this data are 2 or 4.


Answer Key

Grade 7 • Page 16



Visual

Multi-Step



What Do You Say?

Susan’s age this year is a multiple of 3.Next year her age will be a multiple of 4.If Susan’s younger sister is in kindergartenand her older brother is 23, how old isSusan?

Find the area of the shaded region inthe congruent shapes below.(Right angles at all vertices)

Write a word expression for:

p – 3

Using ObjectsPlace the first six countingnumbers in the circles so thatthe sum on each side of thetriangle is nine. Is itpossible to use thenumbers four to nine tomake the sum of eachside the same?

Your second grade sister is learning aboutsubtraction and she says to you: “Whenyou subtract, you always take the smallernumber away from the larger number.”Based on what you have learned aboutsubtracting integers, explain why yoursister’s statement is not always true. Writea problem that supports your writtenexplanation.

A telemarketer is expected to make acertain number of phone contacts perday. Here is a graph showing thecontacts made for one week. What isthe mean of this data.

10 cm

10 cm

5040302010

–10–20–30–40–50

Target Target

Mon Tue Wed Thur Fri Sat Sun

Grade 7 • Page 17

MentalMath

6


1. ? ÷ 1,000 = 100

2. Round 7.526 to the nearest hundredth.

3. 0.99 – 0.76

4.5

10 = %

5.45

1520

×

6. $20 – $15.99

7. 875 + 155 = 155 + ?8. 700 mm = ____ m

9. 12.5 ÷ 12

10. Find the LCM of 12 and 20.

1. 14,542 – 9,875 =

2. 3.7 × 0.009 =

3. 45 ÷ 9 + 6 × 3 =

4. 58% of 42 =


6. 40 minutes + 55 minutes + 10 minutes =

___ hour(s) ___ minutes

7. Find the circumference:

30 ft

8. 3 × [5 + (7 – 5)2] =

9. 2 × (12 × 3) =( ? × 12) × 3

10. Estimate: 8.907 × 7.7


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

Grade 7 • Page 18

6Visual

Multi-Step




What Do You Say?

Mental Math

1. 100,000

2. 7.53

3. 0.23

4. 50

5.35

6. $4.01

7. 875

8. 0.7

9. 25

10. 60


1. 4,667

2. 0.0333

3. 23

4. 24.36

5. 3 × 47

6. 1 hour 45 minutes

7. 94.2 feet

8. 27

9. 2

10. 72

Answer: +1.4

Answer: 15 years

Answer: 2 × 102 + 102 – 25π is about 221.5 cm2.

Answer: A number decreased by three.

Yes, using 4, 5, 6, 7, 8, 9.

They all equal 18.

1

65

3 4 2

4

98

6 7 5

Answers will vary.


Answer Key

Grade 7 • Page 19


Essentials

WE

E

K BY W

EE

K7Problems of the Week

Visual

Multi-Step



What Do You Say?

In order to construct atrapezoid ABCD, whatwould the coordinate ofpoint C be?

Tommy is wrapping a birthday presentin a box which has a top with an area of120 square inches. The front of the boxhas an area of 96 square inches. Thearea of the end is 80 square inches.What are the dimensions of the box?

If the volume of this cube is 343 cm3,what is the height measurement?

Write and solve an equation:Rita has $5 in her purse. This is $12 less thanshe had before she went shopping. How muchdid she have when she went to the mall?

Guess and then checkMo, Ro and Bo have less than 20 tokens. Rohas more than Mo and Mo has more than Bo.Ro gives Bo three tokens and Mo gives Botwo. Now they each have the same number.What did they start with?

–1

–2

–3

–4

4

3

2

1

1 2 3 4–4 –3 –2 –1

D

AB

Look at this equation:

7x = 84

Write a story or situation to “fit” thisequation.

Grade 7 • Page 20

1. 150 × 2 ÷ 6 + 7

2. 84 – 35.8

3.23 ÷ 8

4. What is the difference between 452 and 225?

5. 129

10 – 625

6. Rename 58 as a percent.

7. ? + 53.7 = 100

8. 30 × 600

9.38 of 64

10. ? + 7.5 + 2 = 12

1. 15 × 72 =

2. 6 – 2 + 4 × 2 =

3.9

16 × 623 =

4. Determine the missing number:

{1, 3, 7, 13, , ...}

5. Write the primefactorization of 360.


7. Find the area:

8. 10 – 2 + 49 ÷ 7 =

9. Round 0.0795 to the nearestthousandth.

10. Estimate: 631 ÷ 86

MentalMath

Essentials

WE

EK

BY W

EE

K7


15 m


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

Grade 7 • Page 21

Mental Math

1. 57

2. 48.2

3.1

12 or 2

24

4. 227

5. 65

10 or 612

6. 6212 %

7. 46.3

8. 18,000

9.241 or 24

10. 2.5


1. 1,080

2. 12

3. 3 34

4. 21

5. 23 × 32 × 5

6. 6

7. 706.5 m2

8. 15

9. 0.080

10. 7

7Visual

Multi-Step




What Do You Say?

Answer: x = any number greater than –1y = 3

Answer: 12" × 10" × 8"

Answer: 7 centimeters

Answer: $5 = n – $12 n = $17

Mo M > B 7 – 2 = 5 15Ro R > M 8 – 3 = 5Bo 3 + 2 = 5

8 – 2 = 6 9 – 3 = 6 1 + 3 + 2 = 6 18

Mo = 8 tokens; Ro = 9 tokens; Bo = 1 tokenThe highest number of tokens each can start with.

Answers will vary. Sample:84 people are coming to a banquet. Each table seats7 people. How many tables will be needed for thebanquet?


Answer Key

Grade 7 • Page 22



Visual

Multi-Step



What Do You Say?

Write and solve an equation.

Dee picked 24 apples. This is 8 fewer thanJack picked. How many did Jack pick?

Find a Pattern31 = 3, 32 = 9, 33 = 27, 34 = 81; the productshave 3, 9, 7, 1 respectively in the one’s place.If you compute 315, what number will be inone’s place? Is there a similar pattern for 41,42, 43, 44…?

Read this statement carefully:“In an addition problem, the sum is alwaysgreater than either of the addends.”Example: 5 + 4 = 9 9 > 5 and 9 > 4Based on what you have learned about addingintegers, write an explanation which provesthe above statement is false. Explain how asum can be smaller than one or both of theaddends.

For the pattern above, write arelationship between n, the numberof squares in the figure and P, theperimeter of the shape.

n = 1, P = 4 n = 4, P = 10

One number is 12 less than the other.Their product is –32. What is the leastvalue your smaller number could be?

If you cut on the solid lines and foldon the dotted lines, what geometricsolid would you build?

Grade 7 • Page 23

MentalMath

8


1. 1 kilometer = _____ meter(s)

2.13 = ? %

3. 312 + 5.5

4. 72 - 6.5

5. 103 × 52

6. (1,252)0

7.35

65

÷

8. What is the product of 17 and 10?

9. 32 – 23 + 30

10. 42 = 51 – ?

1. 1,672 ÷ 8 =

2. 1.4 + 2.5 + 3.6 =

3. 4 ÷ 29 =

4. 86% of 106 =


6. Find the LCM of 15 and 50.

7. Find the area:

8. [6.2 + (8.7 – 4)] × 10 =

9. Round $28.91 to the nearest dollar.

10. Estimate: 4.18 ÷ 0.68

3.5 m

4.8 m

2.1 m


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

Grade 7 • Page 24

8Visual

Multi-Step




What Do You Say?

Mental Math

1. 1,000

2. 3313

or 33.3

3. 9

4. 42.5

5. 25,000

6. 1

7.12

8. 170

9. 31

10. 9


1. 209

2. 7.5

3. 18

4. 91.16

5. 23 × 13

6. 150

7. 8.715 m2

8. 109

9. $29

10. 6 (Answers may vary.)

Answer: 24 = j – 8 j = 32

Answer:The digit 7 will be in the one's place.(315 = 14,348,907)

42 = 16, 43 = 64, 44 = 2566,4,6…. Evens are 6; odds are 4.

Sample answers:–4 + (–5) = –9 4 + –5 = –1 –4 + 5 = 1

Answer: –8

Answer: 2n + 2

Answer: triangular prism


Answer Key

Grade 7 • Page 25



Visual

Multi-Step



What Do You Say?

Mrs. Jones wants to put a wallpaperborder around her den. The border costs$15.99 per 5 yard roll. How many rollswill she have to buy and how much will itcost?

20 feet

12 feet

15 feet

5 feet

18 feet

Write and solve an equation.

A number increased by 1.8 is 5.03.

Make A ListYou receive a penny on January 1st, twocents the next day, four cents the next and soon, doubling every day. How long will it taketo be a millionaire? Suppose you started witha nickel and doubled, how long before youwere worth a million dollars?

Euclid, a Greek mathematician proved thatthere is no largest prime. Suppose you areEuclid. What kinds of things might you doto prove there is no largest prime? Explainyour approach and the things you might try.

Mark has the same secret number hidden in eachenvelope. The number sentence below is true. Whatnumber must be in the envelope?

✉ + ✉ + ✉ + 180 = 105

Name at least two3-dimensionalfigures for which thisis a base.

Grade 7 • Page 26

MentalMath

9




3. Round 5.7 to the nearest whole number.


5. Round 23.5 to the nearest ten.

6. Round 462 to the nearest hundred.





1. 3,584 + 8,258 =

2. 8.87 ÷ 0.4 =

3. 334 ÷ 1

18 =

4.12 % of 50 =



7. Find the circumference:

8. 125 – 43 + 13 =

9. Round 0.41275 to the nearest thousandth.

10. Estimate: 356 ÷ 59

2.1 cm


Write answers here:

1. ___________

2. ___________

3. ___________

4. ___________

5. ___________

6. ___________

7. ___________

8. ___________

9. ___________

10. __________

Grade 7 • Page 27

9Visual

Multi-Step




What Do You Say?

Answers will vary.

Mental Math

1. 2.35

2. 4.6

3. 6

4. 10

5. 20

6. 500

7. 50

8. 57.0

9. 700

10. 8.80


1. 11,842

2. 22.175

3. 313

4. 0.25

5. 33 × 7

6. 21

7. 13.188 cm

8. 95

9. 0.413

10. 6

Answer: –25 in the envelope

Answer: 6 rolls at $95.94

Answer: n + 1.8 = 5.03 n = 3.23

$ .05.10.20.40.80

1.603.206.40

12.8025.6051.20

102.40204.80

409.60819.20

1,638.403,276.806,553.60

13,107.2026,214.4052,428.80

104,857.60209,715.20419,430.40838,860.80

$1,000,000.0025 days

$ .01.02.04.08.16.32.64

1.282.565.12

10.2420.4840.9681.92

163.84327.68655.36

1,310.722,621.445,242.88

10,485.7620,971.5241,943.0483,886.08

167,772.16335,544.32671,088.64

$1,000,000.0027 days

Answer: cylinder, cone


Answer Key

Documents

Problems of the Week 1 - NCWiseOwlmath.ncwiseowl.org/UserFiles/Servers/Server_4507209/File...2 Problems of the Week Visual Multi-Step Make a Good "Expression" Problem-Solving ... questions