1

Credit Card

When you use a credit card and leave a balance, you owe interest. Suppose you used your credit card and left a $500 balance on it for a year. Your card has an 18% simple interest on it. How much will you owe after one year?

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Grade 7Simple/Compound Interest, Multiplication

2

Business

Suppose an employer starts employees at $6/h. The employer raises the wage $.50/h every six months. What kind of sequence is this? Write a rule to describe the sequence.

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Grade 7Number Patterns

3

Cuong

Cuong is taking art and music. There are 4 art teachers. There are also 3 music teachers. How many possible outcomes are there for the two teachers Cuong will have?

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Grade 7List/Table/Tree Diagram

4

Colorblind

The probability that a male is colorblind is 8%. Suppose you interview 1,000 males. About how many will be colorblind? Will you get exactly this number? Explain.

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Grade 7Probability

5

Trapezoid

One base of a trapezoid is three times as long as the other. The height is 6 cm. The area of the trapezoid is 48 cm squared. Write an equation to find the length of the bases. Solve the equation.

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Grade 7Division/area

6

Rectangle

The perimeter of a rectangle is found to be 21 in. The length is doubled. The width is also doubled. What will be the new perimeter?

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Grade 7Multiplication and Addition

7

Jacob

Each morning Jacob walks to school. At 8:20am. he passes a stoplight that is two blocks from home. He walks another block and reaches the town library at 8:24am. At this point he is three blocks from school and half the way there. If Jacob walks at the same pace all the way to school, at what time does he arrive at school?

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Grade 7Draw a diagram/Division

8

Video

A video cassette recorder uses 2m of tape in 3 min when set on extended play. The tape is about 240m long. How many hours can you record using extended play?

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Grade 7Division and Multiplication

9

Diamond

A softball diamond measures 65 ft by 65 ft. A baseball diamond measures 90 ft by 90 ft. Write a ratio in simplest form to find the area of a softball diamond to the area of a baseball diamond.

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Grade 7Multiplication/Area Ratios

10

Construction

A bolt must go through a sign that is 5/8 in. thick. The bolt also has to go through a support that is 1 1/2 in. thick. An additional 5/16 in. is needed for the washer and nut. How long should the bolt be?

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Grade 7Adding and subtracting mixed numbers

11

Cooking

Your recipe for a loaf of bread calls for 2 3/4c of flour. You want to triple the recipe. The label on a two-pound bag of flour says that it contains about 7c. Will that be enough flour to make three loaves of bread?Explain.

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Grade 7Estimating with Fractions and Mixed Numbers/Division

12

Pearl

Pearl kept track of the time she worked on her carpentry project. She worked a total of 345 min. Use mixed numbers to write Pearl's time in hours.

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Grade 7Mixed numbers/Division

13

Bones

An adult has 206 bones. Of these bones, 106 are in the feet, ankles, wrists, and hands. What fractions of the bones are in the feet, ankles, wrists, and hands? Write your answer in simplest form.

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Grade 7Writing fractions/Division

14

Josephina

On an average school day, Josephina spends 7 hours in school. She spends 1 hour delivering newspapers and 2 hours doing her homework. She also spends 3 hours reading or talking on the phone and 8 hours asleep. Write a fraction in the simplest form to express how much time she spends on each activity each day.

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Grade 7Simplifying/Writing Fractions

15

Charity

n 1997, Princess Diana auctioned some of her dresses to raise money for charity. The highest price for a dress was $222,500. The lowest price was $19,000. What was the range of prices?

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Grade 7Range

16

Prime

Write the prime factorization of each number and identify the common prime factors. The numbers are 24 and 36. Now find the product of the common prime factors. What is the GCF of 24 and 36?

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Grade 7Prime factorization and multiplication

17

Recipe

Compare the amounts of sugar, oatmeal, and oil in the recipe. 2 1/4 teas. yeast, 2 1/2 cups water, 1/2 cup sugar, 1/4 cup oil, 9 cups flour. Which has the greatest amount? Which has the least amount?

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Grade 7Ordering fractions

18

Homework

Takala had 20 homework problems. She finished 15 of them while she was at the library. What fraction of the problems did she have left to do at home? Write a fraction equivalent to your answer using common factors.

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Grade 7Equivalent Fractions

19

Teams

Mr. Quaid's class has 24 students. Mrs. Carlson's class has 30 students. Each class is divided into several teams. What is the greatest number of people on a team if both classes have teams that are equal in size?

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Grade 7Equivalent Fractions

20

Locker

Karen remembers that the three digits in her locker combination are 3, 5, and 7. Karen has forgotten the order the numbers go in. What is the maximum number of combinations she must check in order to open her lock?

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Grade 7Make a Table

21

Movie Rental

Movie Madness video rental rents movies at $3.95 for the first night. It's $1.25 for each additional night. When he returned his movie, Ravi paid $7.70. Solve the equation 3.95 + 1.25n = 7.7 to find the number of extra nights Ravi kept the movie.

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Grade 7Two-Step Subtraction then Division

22

Astronomy

Ptolemy, an astronomer, lived from about A.D. 85 to about A.D. 165. He named 48 constellations. Today, there are 88 named constellations. How many constellations were not named by Ptolemy?

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Grade 7Writing an Equation, subtraction

23

Entertainment

Dr. H. Howard Hughes of Fort Worth, Texas saw 6,136 plays. He saw these plays in 31 years. Solve the equation 31p = 6,136 to find the average number of plays p he saw per year.

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Grade 7Solving Equations by Multiplying and Dividing

24

Dow

In one week, the Dow Jones Industrial Average rose 1 point on Monday. It fell 3 points on Tuesday and rose 4 points on Wednesday. It fell 4 points on Thursday, and fell again on Friday 3 points. What was the average daily change?

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Grade 7Add/Subtract and then Divide (finding average)

25

Temperature

The highest temperature recorded in the United States was 134 degrees. This temperature was measured at Death Valley, California. The coldest temperature was -80 degrees. This temperature was recorded at Prospect Creek, Alaska. What is the difference between these temperatures?

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Grade 7Subtracting Integers

26

Time

Nina uses the expression t + 3 to find the time in New York. t stands for the time in Los Angeles. Find the time in New York when it is 5 P.M. in Los Angeles.

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Grade 7Adding with variables

27

Bookshelf

There are b books on one shelf in the library. Write a variable expression for the number of books on 275 shelves. Evaluate your expression for 25 books per shelf.

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Grade 7Variable Expression

28

Fabric

Nikia bought 3.2 yd of fabric. Her total price was $13.92. How much did the fabric cost per yard?

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Grade 7Dividing Decimals

29

Shoe Store

Devon earns $25.50 per day working in a shoe store. His boss pays him $.50 extra for each package of sports socks he sells. After 5 days of work, Devon earned $157.50. How many packages of sports socks did he sell?

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Grade 7Multiplication of Decimals

30

Fair

Lamarr sold frozen slush at a fair from 12 noon to 5 pm. He charged $.50 for a small slush and $.75 for a large one. Twelve children bought a total of 15 small slushes. 24 adults bought a total of 28 large slushes. How much money did Lamarr collect?

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Grade 7Multiplication and Addition of Decimals

31

Banner

A group of friends made a 4-yd long rectangular banner. They paid $3.75 per yard for the fabric. They also paid $9 for the trim to go around the banner's 10-yd perimeter. What was the width of the banner?

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Grade 7Perimeter, Subtraction

32

Roller Skating

Lisa, Ana, and Lisa's brother Jacob went roller skating. Admission was $3.50 for those 12 and older, and $1.75 for those under 12. The roller skates rented for $2.75 a pair. Lisa and Ana are 13 years old, and Jacob is 10. What was the total cost of admission?

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Grade 7Adding Decimals

33

Bowling Ball

A bowling ball weighs 5.61 kg. A bowling pin weighs 1.57 kg. About how many bowling pins would it take to equal the weight of the bowling ball?

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Grade 7Estimating

34

Spider

The smallest spider is a male Patu marplesi that is 0.017 in. across, about the size of a period. The largest spider is a male goliath bird-eating spider that is 11.020 in. across. Write each number in words. Round each number to the nearest hundredth.

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Grade 7Ordering Decimals

35

Fund Raiser

Tadeo sold banners for a school fund raiser. Small banners cost $1.25. The large banners cost $1.75. How many banners of each size could he sell for $20? Write all the possible solutions.

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Grade 7Make a Table, Addition

36

Tennis

In doubles tennis, the width of the court is 10.97 meters. The net is between 0.91 m and 1.07 m tall. The court is 23.77 m long. Find the area of the court.

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Grade 7Area-Multiplication

37

Sandwich

Mario's Sandwich Shop received orders from people at three different addresses on the same street. The addresses were: 2525, 2432, and 2784. What order should the sandwiches be delivered in order to take the least amount of time?

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Grade 7Ordering Numbers

38

Survey

Suppose you are gathering information about visitors to Yosemite National Park. You survey every tenth person entering the park. Would you get a random sample of visitors to the park? Why or why not?

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Grade 7Random Sampling

39

Miles

Popsville is 20 mi from Topsville. Mopsville is 5 mi from Popsville along the same road. How far could Mopsville be from Topsville?

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Grade 7Addition

40

Sports

Three lockers contain the school's basketballs, footballs, and soccer balls. Each locker contains only one type of ball, but the labels on them are incorrect. The locker marked "footballs" has basketballs. Which balls are in the locker labeled "basketballs"? Which balls are in the locker labeled "soccer balls"?

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Grade 7Logical Reasoning

41

Foreign Language

Keesha, Frieda, Pascal, Jered, and Mika are each studying different foreign languages. Mika gave Ms. Sanchez the following information:

- The woman studying Italian is not Keesha.- Frieda and Pascal do not study Mandarin Chinese, but

one of them does study French.- Keesha, Frieda, and Jered drive to their classes together.

One of them studies German, one studies Spanish, and one studies Italian.

Who is studying which language?

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Grade 7Using Logical Reasoning, Make a Table