May, 20206th to 7th Math

Rising 6th to 7th grader,

It is important to keep your math skills sharp. The attached packet was created to not only help you review 6th grade math skills but help make the transition into 7th grade easier. It is designed to be completed over 10 weeks, there are dates at the top to help you keep track and each week is divided into 4-days. To provide the maximum benefit, you will complete this packet a little at a time over the course of the summer, As you finish a page, please note that on the bottom of the back side of each page.

At the top of each of the 10 weeks is a QR code. Scan the code for helpful hints and videos about problems from that page. Answers are not available, but there are hints, tips, suggestions that will help if you have questions.

I realize that things come up and some weeks it may not be possible to complete that week’s work, you can adjust as needed. I would not recommend waiting until the end of summer or trying to complete all of it in a short amount of time. The work is best done spaced out over the summer.

On the next page is a list of IXL skills that correspond to many of the different skills found in the summer packet. The IXL skills are not necessary, but might be helpful if you find that you are having difficulty in a particular area.

There is also on the back of the next page links and resources for OPTIONAL math activities. Use as needed, please let me know if you have any questions or need more information about any of the options.

The summer packet is due the first full day of school in August. Make sure to document your thinking, work should be completed on these pages. If you need more room, attach your work. You can expect at the minimum a grade to be taken and possibly an assessment given over the material in the packet.

Do not worry about our remote learning putting you behind for next year. Going into spring break, we were ahead for the year. The concepts learned remotely are already what was planned to be reviewed at the beginning of 7th grade. I have communicated extensively with Mrs. Matthews and she is already planning how she will review, reinforce and build upon these concepts.

Have a great summer!

Mrs. Stirling

Complete below:

Mathematician: ____________________________________________________Please indicate how you completed your summer work:

________ Independently________ Independently, with a little outside help________ Received help from parent/sibling/etc to complete________ Worked with a tutor to complete summer work

Name of tutor:______________________________

Level H IXL D.2 Evaluate ExponentsLevel H IXL E.5 Prime Factorization Level H IXL E.7 Greatest Common FactorLevel H IXL E.8 Least Common Multiple

Level H IXL J.3 Add & Subtract FractionsLevel H IXL L.5 Divide fractionsLevel H IXL L.7 Divide fractions & mixed numbers

Level H IXL O.1 Add, Subtract, Multiple or Divide Whole NumbersLevel H IXL G.1 Add & Subtract Decimal NumbersLevel H IXL H.2 Multiple Decimals Level H IXL O.4 Add, Subtract, Multiple or Divide Decimals

Level G IXL O.4 Order of Operations- Evaluate Numerical ExpressionsLevel H IXL O.6 O. of O. - Evaluate Numerical Expressions DecimalsLevel H IXL O.9 O. of O. - Evaluate Numerical Expressions Fractions

Level H IXL R.4 Write an Equivalent Ratio Level H IXL R.5 Ratio Tables Level H IXL R.7 Unit Rates & Equivalent Rates

Level H IXL S.2 Convert between Fractions, Decimals Level H IXL S.5 Percent of a NumberLevel H IXL S.10 Find the Total Given a Part & a Percent

Level H IXL X.2 Graph Points on the Coordinate Plane

Level H IXL Z.6 Solve One-Step Equations Whole NumbersLevel H IXL Z.7 Solve One-Step Equations with Decimals & Fractions

Level H IXL FF.3 Area of Triangles Level H IXL FF.9 Area & Perimeter RectanglesLevel H IXL FF.14 Volume of Cubes & Rectangular PrismsLevel H IXL FF.15 Surface Area of Cubes & Rectangular Prisms

You have access to all IXL over the summer. This is just a list of skills that correspond to this packet. Do note your scores will reset near June 1st so that you can re do any of the skills from this year again over the summer.

Optional Math Activities

Math Enrichment Activities - a list of apps, websites with games and puzzles either played in class or used for optional activities during remote learning.

Links to printable games & other math related apps.

Freckle - an online adaptive math program (similar to IXL but more focused on problem solving), includes more video explanations. This is a form to request a login and the app installed on your ipad. Filling out the form will send a request for Mrs. Stirling to create an account for you. After the account is created (it will take a day or two), you will receive an email with login creditientals.

Something different? Try the board game Prime Climb. This link will take you to the developers website with instructions and a link to shop. It is also available from Amazon

Addition:

32,456 + 42,317 5.43 + 4.21

Subtraction:

5.217 - 4.329 5.4 - 4.6

Multiplication:

325 ● 14 4.3 ● 1.25

Division:

7540 ➗ 6 75.6 ➗ 2.1

Problem Solving:What number divided by 7 gives a quotient (answer) of 652 with remainder 3?

Addition:

3.5 + 4.63 ⅔ + ⅘

Subtraction:

6.1 - 4.7 ⅔ - ⅝

Multiplication:

4.02 ● 5.1 ⅗ ● ⅝

Division:

12.6 ➗ 6 ⅘ ➗ 7/10

Problem Solving: If gasoline costs $1.25 per gallon and your car has a 16-gallon tank that is ¾ empty, how much will it cost to fill the tank?

Week 1: Ending May 29Document your thinking!

Day 1

Day 2

Mathematician: ________________

Addition:

¾ + ⅝ 4 ⅓ + 2 ⅔

Subtraction:

4 - 2 ½ 5/9 - ⅓

Multiplication:

4 ⅓ ● 2 ¼ ⅝ ● 3 ⅕ Division:

3 ½ ➗ ⅔ 2 ➗ ¾

Problem Solving: There are 250 soldiers in a company, 4 companies in a battalion, 3 battalions in a regiment, 3 regiments in a brigade, and 3 brigades in a division. How many soldiers are in a division?

Order of Operations:4 + 3 ● 2 + 7 A student made a mistake by working the problem from left 7 ● 2 + 7 to right. List the steps in the Order of Operations: 14 + 7 21 1.)

2.)

3.)

4.)

Day 4Problem Solving

Rework the problem correctly:4 + 3 ● 2 + 7

What common fraction of a class is boys if 15 of the 40 students are girls?

Kyle, Kate, and Kendall split the cost of a pizza evenly between the three of them. If Kyle paid $3.24, what was the total cost of the pizza in dollars?

100% 50% 25% 10% 5% 2 ½% 1%

32

Fill

in t

he c

hart

:

Date Week 1 completed:

Day 3

Addition:

4.3+5.17 ⅗ + ⅔ Subtraction:

6/7 - ½ 4 - 2.6

Multiplication:

5/7 ● 3/10 4 ½ ● ⅔

Division:

0.4 ➗5 ⅔ ➗ ¾

Problem Solving:A play has 3 acts that are 80 minutes, 50 minutes, and 45 minutes long, respectively. There are also two 15-minute intermissions. If the play starts at 5:30 p.m., at what time does it end?

Addition:

6.2 + 5.8 3 ⅓ + 4 ¼

Subtraction:

5 - 2 ½ 4 ⅓ - 2 ⅔

Multiplication:

⅚ ● ⅘ 1 ⅖ ● 2 ¼ Division:

6 ⅔ ➗ ⅚ 4 ➗ ⅛

Problem Solving: How many 32-passenger buses will be needed to take 200 students on a field trip?

6 to 7 Math Week 2: Ending June 5 Document your thinking!

Day 1

Day 2

Mathematician: ________________

Use the chart to calculate the following:

75% of 80 55% of 80 40% of 80 24% of 80 15% of 80

Addition or Subtraction:

4.56 + 7.89 5 ⅗ + 4 ½

Multiplication or Division:

3.27 ● 4.01 5 ⅕ ➗ 4/15

Use Order of Operations to simplify:

4 + 5 ● 8 - 12 ➗ 3 5 + 3(6 + 4 ● 2)➗ 7 7 + 23 - 5 + 8 ● 3

Problem Solving: A sheet of paper is 0.0075 cm thick. How many centimeters high is a stack of 500 sheets?

Perimeter is the distance around a shape in units. Area is the amount of space inside measured in square units. Calculate the perimeter and area of each of the following squares:

If you have a square with an area of 49 cm2, calculate the length of one side and find the perimeter of the square.

Day 4Problem Solving

100% 50% 25% 10% 5% 2 ½% 1%

80

Fill

in t

he c

hart

:

5 cm

12 cm

Date Week 2 completed:

Day 3

Add, Subtract, Multiple or Divide:

5 ⅚ + 4 ⅔ 6.1 - 4.32 30 ● 22 5.1 ➗ 0.3

Simplify (Remember to use Order of Operations):

15 + 8(6 + 3 ● 4) ➗ 12

Solve the equation, use properties of equality:

x + 12 = 18 3x = 39

Problem Solving: A club had collected an amount of money to split among the top three finishers of their science fair. The first place finisher will receive ½ of the money. The second place finisher will receive ⅓ of the money. The third place finisher will receive $200. How much money will the first place finisher receive?

Add, Subtract, Multiple or Divide:

12.8+ 7.09 8 - 3 ⅗ 2 ¾ ● ⅘ 240 ➗ 8

Simplify

24 53 82 103

Solve the equation, use properties of equality:

x - 21 = 39 x = 124

Problem Solving: The combined number of chickens and rabbits on a farm is 100. There are a total of 260 feet on these animals. How many chickens are there?

6 to 7 Math Week 3: Ending June 12 Document your thinking!

Day 1

Day 2

Mathematician: ________________

Add, Subtract, Multiply or Divide:

4 ⅔ + 5 ¼ 6 - 2 ⅖ 1.5 ● 0.8 1.2 ➗ 0.03

Solve, document your thinking.

20% of 80 35% of 54 55% of 70 24% of 36

Problem Solving: When the Smiths left home, their gas gauge red ⅞ full. When they arrived at their destination, it read ¼ full. Given that their tank hold 16 gallons, how many gallons of gas did they use on their trip?

Miles says the area of his rectangle is 20 cm2. Cory says his triangle is also 20 cm2. After looking at both shapes, Cory changes his mind, saying, “I forgot to do one thing.” What do you have to remember about finding areas of triangles?

Day 4Problem Solving

5 cm 5 cm

Date Week 3 completed:

Day 3

4 cm

4 cm

Find the area of the following shape (don’t forget your units):

15 cm

10 c

m

9 cm

6 cm

2 ½ inches

2 ½

inch

es

A red light blinks every 15 seconds, a white light blinks every 10 seconds. At the start of 10 minutes they both blink at the same time, how often will they blink together in that 10 minute time frame?

Add, Subtract, Multiple or Divide:

8 ¾ + 2 ⅕ 8 ⅚ - 5 ⅙ 21 ● ⅚ 6 ¾ ➗ ¾

Simplify (Remember to use Order of Operations):

48 ➗ 8 + 4

Solve the equation, use properties of equality:

x + 82 =95 5x = 125

Problem Solving: There are three 7th-grade math classes, each with 24 students. No student is taking more than on math class. How many students are in 7th grade math classes altogether?

Add, Subtract, Multiple or Divide:

5.109 + 0.45 6.2 - 3.98 14.59 ● 9 23.23➗ 10.1

Find the area & perimeter of the following shape:

Area: _______ ft2 Perimeter: ________ ft

Solve the equation, use properties of equality:

x - 23 = 15 x = 84

Problem Solving: Four friends are in line for movie tickets. Rick is behind Tom, but ahead of Mark. James and Tom are separated by one person. Who is last in line?

6 to 7 Math Week 4: Ending June 19 Document your thinking!

4.4f

t

6.3 ft

Day 1

Day 2

Mathematician: ________________

Add, Subtract, Multiply or Divide:

⅘ + ⅔ 15 - 7.8 0.17 ● 0.36 9 ➗ 27

Solve, document your thinking.

15 out of 20 is what percent? 12 out of 30 is what percent?

Problem Solving: How many more cents per item is 3 items for $10 than 2 items for $5? Express your answer to the nearest whole penny.

Rick’s family recipe for macaroni and cheese makes 4 servings of 310 calories each. Rick decided to make 1 ½ times the amount in the recipe. How many calories are in Rick’s batch of macaroni and cheese? Day 4

Problem Solving

Day 3

Fill in the blanks:

Fraction Decimal Percent

¼

0.26

55%

⅜

Date Week 4 completed:

A candle 25cm tall burns at the rate of 5 cm per hour. What percent of the original candle is left after it has burned for 2 hours?

Add, Subtract, Multiple or Divide:

15,346 + 20,456 16.8 - 12.4 3 ½ ● 4 ⅘ 6.8 ➗ 0.4

Simplify (Remember to use Order of Operations):

15 + 8 - (3 ● 4 ) ➗ 2

Solve the equation, use properties of equality:

x - 3 = 10 x + 12 = 31

Problem Solving: The ratio of girls to boys in the 7th grade at Hypatia Middle School is 3:2. There are 134 boys in the 7th grade. What is the total number of students in 7th grade at Hypatia Middle School?

Add, Subtract, Multiple or Divide:

4 ⅚ + 7 ⅓ 5 - 3 ⅘ 23 ● 405 ⅞ ➗ 14

Find the area & perimeter of the following shape:

Area: _______ ft2 Perimeter: ________ ft

Solve the equation, use properties of equality:

x + 9= 12 x = 12 6

Problem Solving: Aila ate at her favorite restaurant, the food cost $30. A 7% tip and an 18% tip were added to the food total. What was the total cost including tax and tip? [Think 7% + 18 % = ?]

6 to 7 Math Week 5: Ending June 26 Document your thinking!

9 cm

9 cm

15 cm

10 c

m

Day 1

Day 2

Mathematician: ________________

Add, Subtract, Multiply or Divide:

34.8 + 60.25 ⅞ - ⅔ 4.099 ● 20 14.5 ➗ 0.5

Solve, document your thinking.

The value of a car that cost $16,000 decreased by 20% the first year. What was the value of the card after the first year?

Problem Solving: If it takes 24 seconds to write a tweet and 8 seconds to send it, what is the greatest number of Tweets that can be written and sent in 6 minutes?

On their summer vacation, the Chase family flew from New York City to Raleigh and then to Atlanta on their way to New Orleans. Returning from New Orleans, they flew to St. Louis and then to Detroit on their way to New York City. According to the mileage chart below, what was the length of the family’s round trip?

Day 4Problem Solving

Date Week 5 completed:

Day 3

Rachel had 12 pens. 8 of them were blue and the other 4 were purple.

a.) What is the ratio of the number of blue pens to purple pens? Simplify your answer

b.) What is the ratio of the number of purple pens to the total number of pens? Simplify your answer.

Add, Subtract, Multiple or Divide:

5 ⅕ + 7 ⅔ 17 - 8 ½ 6 ½ ● 3 ¾ ⅚ ➗ ¾

Simplify::

24 63 105 82

Solve the equation, use properties of equality:

x + 7 = 19 x - 4 = 11

Problem Solving: The fuel tank in Alexia’s car holds 13.4 gallons of gas. How many gallons of gas does she have when her tank is ¼ full? Express your answer as a decimal to the nearest hundredth.

Add, Subtract, Multiple or Divide:

14.56 + 3.67 8.9 - 4.98 3.2 ● 5.08 12.78 ➗ 0.9

Volume= length x width height. Find the volume of the rectangular prism:

Volume: _______ ft3

Solve the equation, use properties of equality:

8x = 72 x = 134

Problem Solving: Tickets to a show cost $6.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. What is the cost for the show for the family?

6 to 7 Math Week 6: Ending July 3 Document your thinking!

8 ft

20 ft 4 ft

Day 1

Day 2

Mathematician: ________________

Add, Subtract, Multiply or Divide:

15, 689 + 13.8 21.5 - 14.7 0.87 ● 1.4 1 ⅙ ➗ 1/12

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party. Select all the statements that express this ratio.

A. The ratio of kids to pizzas is 7:3.B. The ratio of pizzas to kids is 3 to 7.C. The ratio of kids to pizzas is 3:7.D. The ratio of pizzas to kids is 7 to 3.E. For every 7 kids there need to be 3 pizzas.

Problem Solving: What is the positive difference between the value of 2●(3 + 4) and the value of 2●3+4?

Remember, when you graph in a coordinate plane, use ordered pairs(x,y). The first number tells you howto move on the x-axis either left orright. The second number tells youhow to move on the y-axis either upor down.

For example, look at the point (-3,1).-3 tell you to move left three from theorigin (0,0) and then 1 tells you to moveup one.

Day 4Problem Solving

Date Week 6 completed:

Day 3

Use the coordinate plane to the left, to identify the coordinate for each point:

A (____ ,______ ) B (____ ,______ )

C (____ ,______ ) D (____ ,______ )

E (____ ,______ ) F (____ ,______ )

Add, Subtract, Multiple or Divide:

15.089 + 6.89 5.9 - 3.02 4 ⅜ ● 4/7 7.89 ➗ 2

Simplify (Remember to use Order of Operations):

32 + 92 - (8 + 7) ➗ 5

Solve the equation, use properties of equality:

4x = 12 x + 4 = 21

Problem Solving: A bag of chocolates is labeled to contain 0.384 pound of chocolates. The actual weight of the chocolates is 0.3798 pound. How much heavier or lighter are the chocolates than stated on the label?

Add, Subtract, Multiple or Divide:

15 ⅔ + 7 ¾ 8 ¼ - 4 ½ ⅘ ● ⅝ 2 ½ ➗ ¾

Solve the equation, use properties of equality:

x - 9 = 17 x = 24 6

Problem Solving: A pound of blueberries costs $3.98 and a pound of clementines costs $2.49. What is the combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines? Round your answer to the nearest cent.

6 to 7 Math Week 7: Ending July 10Document your thinking!

Volume= length x width height. Find the volume of the rectangular prism (remember units):

Volume: _______

12 f

t

15 ½ ft 7 ½ f

t

Day 1

Day 2

Mathematician: ________________

A tournament has 32 competitors in a single elimination bracket, shown here. The table shows the number of points awarded For each correctly predicted match outcome in the tournament. what is the maximum number of points that can be earned?

a square that is in only two quadrants, label the vertices A, B, C & D A (____ ,______ ) B (____ ,______ )

C (____ ,______ ) D (____ ,______ )

Simplify using Order of Operations:

(1 + (3 + 9)2) ➗ 5 - 7 ● 2

Solve, document your thinking.

Find 20% of 48.

Problem Solving: An advertisement states that 4 out of 7 dentists recommended Minty Fresh Mouthwash. If 1,421 dentists were surveyed, how many dentists recommended Minty Fresh Mouthwash?

Sam can choose how he gets paid for a job. He can be paid $1,000 all at once, or he can earn $1 for the first day, $2 of the second, $4 for the third, and so on, so that each day’s pay is double that of the previous day. What is the positive difference of the total amounts Sam can be paid for completing a ten-day job, based on these two compensation plans?

Day 4Problem Solving

Date Week 7 completed:

Day 3

Add, Subtract, Multiple or Divide:

5 ⅚ + 9 ¾ 20 - 5 ⅘ 3 ½ ● 4/7 2 ⅔ ➗ ⅝

Fill in the blank with <, > or =

3 ______ 5 -5 ______ -8

7 ______ 4 ⅔ ______⅚

8 ______ -8 |-6|______ 6

Solve the equation, use properties of equality:

x + 56 = 90 x - 17 = 47

Problem Solving: Leah collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Leah raise?

Add, Subtract, Multiple or Divide:

15.6 + 8.07 12 - 6.91 0.075 ● 4.01 0.6 ➗ 1.5

Find the area & perimeter of the following shape (remember units)::

Area: _______ Perimeter: ________

Solve the equation, use properties of equality:

6x = 78 x = 114

Problem Solving: The ratio of Johnny’s cell phone bill to Williams’ cell phone bill was 7:5. Johnny’s bill was $14 more than William’s bill. How much was Johnny’s bill?

6 to 7 Math Week 8: Ending July 17Document your thinking!

5 ⅔

ft

4 ½ ft

Day 1

Day 2

Mathematician: ________________

a parallelogram that is in all four quadrants, label the vertices A, B, C & D A (____ ,______ ) B (____ ,______ )

C (____ ,______ ) D (____ ,______ )

Add, Subtract, Multiply or Divide:

5 ● ( 4 ➗(10 + 3 - 7 - 2))

Solve, document your thinking.What is the sum of the whole number factors of 12?

Problem Solving:

What is the product of the GCF (greatest common factor) of 4 and 10 and the LCM (least common multiple) of 4 and 10?

Michael will throw three darts that will hit the dartboard shown. His total score will be the sum of the scores for the three hits. How many different total scores could Michael earn? [A table may help organize the information]

Day 4Problem Solving

Date Week 8 completed:

Day 3

Use the chart to calculate the following:

75% of 64 55% of 64 60% of 64 26% of 64 15% of 64

Owen goes to the store and buys $1.80 worth of produce. He gives the clerk a $5 bill and receives change consisting of only quarters, dimes, nickels and pennies. What is the great number of quarters he could receive?

100% 50% 25% 10% 5% 2 ½% 1%

64

Fill

in t

he

char

t:

Add, Subtract, Multiple or Divide:

14.5 + 13.9 1 ⅔ - ⅘ 2 ⅔ ● 4 ½ 5 ½ ➗ ¾

Simplify (Remember to use Order of Operations):

15 - 3 ● 4 + 7 - (12 ● 3) ➗ 32

Solve the equation, use properties of equality:

14x = 42 x - 15 = 27

Problem Solving: A jar full of water weighs 295 grams. An empty jar weighs 52 grams. What does the water in the jar weigh?

Add, Subtract, Multiple or Divide:

5 ½ + 2 ½ 5 ½ - 2 ½ 5 ½ ● 2 ½ 5 ½ ➗ 2 ½

Find the area & perimeter of the following shape (remember uits):

Area: _______ Perimeter: ________

Solve the equation, use properties of equality:

x - 17 = 82 x = 6 18

Problem Solving: 1 is the first odd number and 3 is the second odd number. What is the tenth odd number?

6 to 7 Math Week 9: Ending July 24Document your thinking!

3.2f

t

7.1 ft

Day 1

Day 2

Mathematician: ________________

a triangle that is at least two quadrants and has one vertex on the y-axis. A (____ ,______ ) B (____ ,______ )

C (____ ,______ )

Add, Subtract, Multiply or Divide:

25 + (15 ➗ 3 + 2)+ 2 ● 32

Solve, document your thinking.

20 out of 50 students were boys. What percent of the students were girls?

Problem Solving: Use the numbers 6, 7, 8 & 9 to make the equation true:

x + - = 55

What is the sum of the numbers in the tenths row of this pattern? Explain how you know.

Row 1: 1 + 2 = 3Row 2: 2 + 3 = 5Row 3: 3 + 4 = 7Row 4: 4 + 5 = 9Row 5: 5 + 6 = 11Row 6: 6 + 7 = 13...

Day 4Problem Solving

Date Week 9 completed:

Day 3

How many pancakes can you make with three cups of mix?

If you have a stack of cards labeled 1 to 100, in how many ways can you pick two cards whose sum is 50?

Find the area & perimeter of the following shape (remember units)

Area: _______ Perimeter: ________

Add, Subtract, Multiple or Divide:

3 ½ + 0.4 3 ½ - 0.4 3 ½ ● 0.4 3 ½ ➗ 0.4

Simplify (Remember to use Order of Operations):

17 - 5 + 2+(8 + 4 ● 5) ➗ 7

Solve the equation, use properties of equality:

x - 31 = 52 x + 3 = 51

Problem Solving: Which costs more per pound, steak at $7.50 per pound a 4,000 pound car for $28,000? How much more per pound?

Add, Subtract, Multiple or Divide:

0.063 + 2.1 2.1 - 0.063 2.1 ● 0.063 0.063 ➗ 2.1

Solve the equation, use properties of equality:

4x = 60 x = 126

Problem Solving: In 1979, a 7-year old tree was plant. How old would the tree be in 2020?

6 to 7 Math Week 10: Ending July 31 Document your thinking!

Day 1

Day 2

10 cm

10 cm

8 cm

6 c

m

Mathematician: ________________

a pentagon of your choice that is in at least two quadrants, label the vertices A, B, C D & E A (____ ,______ ) B (____ ,______ )

C (____ ,______ ) D (____ ,______ )

E (____ ,______ )

Add, Subtract, Multiply or Divide:

(42 + 32) ● 3 + 12

Solve, document your thinking.

The ratio of cats to dog at a vets is 4:3. If there are 24 cats, how many dogs would you find?

Problem Solving: A glass holds 250 mL. How much water in the glass when it is ⅘ full?

Caden made a tic-tac-toe. He multiplied the numbers under his X’s and got a product of 336. On what numbers were Tom’s X’s?

Day 4Problem Solving

Date Week 10 completed:

Day 3

A clock strikes once at one o’clock, twice at two o’clock, and continues to strike for each hour. How many times does the clock strike in 24 hours?

The product of the ages of two dogs is 156. The sum of their ages is 25. How old are the two dogs?

Find the prime factorization of 336:

How could the prime factorization of 336 help you figure out the tic-tac-toe question?