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- Liam and Kevin each collect stamps. Liam has twice as many stamps as Kevin. Liam gives 8 of his stamps to Kevin. Liam now…
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 3 of 5
- Level Above grade 7
- Format Fill the blanks
- A basket contains 3 apples, 4 oranges, 5 bananas, and 8 pears. If one piece of fruit is randomly pulled from the basket, what…
- Type Probability
- NYS standards 6.SP.8a, 6.SP.6
- Difficulty 1 of 5
- Level Below grade 7
- Format Number line
- A chemical decays in such a way that the amount left at the end of each week is 20% less than the amount at…
- Maya read n pages for her English homework. Trevor read three times as many pages as Maya. Together, Maya and Trevor read 12 more…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a, 6.EE.3
- Difficulty 3 of 5
- Format Equation editor
- What is the distance between the midpoints of MN and RS?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- In a showing of an artist’s works, the ratio of the number of paintings, drawings, and photographs shown is 3:5:4, respectively. If the number…
- NUMBER OF VISITORS TO BROOKSIDE ZOO Male Female Children 360 340 Adults 210 290 The table above shows the number of people who visited…
- A teacher will randomly select 3 students to be on a school committee. He will choose either a student from Classroom A or a…
- Type Probability
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 2 of 5
- A deck of 52 playing cards contains 13 hearts. Sara has 12 cards from this deck in her hand, 3 of which are hearts.…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- A shipment contains 170 small boxes of medical supplies. In a random sample of 20 of these boxes, 8 have damage and the others…
- Type Proportions and scale
- NYS standards 7.RP.3, 6.SP.1b
- Difficulty 3 of 5
- Tariq is making a clay block in the shape of a cube with a side length of 20 cm. He hollows out the center…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.2
- Difficulty 2 of 5
- Format Grid-in
- Malik earns $10 per hour at his job. He wants to change to a job that will pay $12 per hour. What will be…
- A square metal plate has a side length of 3 inches. A circular hole with a diameter of 2 inches is cut out from…
- Type Circles, Area and perimeter
- NYS standards 7.G.4
- Difficulty 2 of 5
- Format Grid-in
- In a scale drawing of a triangular park, the sides measure 5 inches, 7 inches, and 8 inches. The perimeter of the actual park…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- In the right triangle shown above, what is the measure of the smallest angle?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- At Midville High School, 64 students are members of either the orchestra or the choir, or both. Of these students, 38 are members of…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 6.RP.1
- Difficulty 3 of 5
- A birdseed mixture is 2/5 sunflower seeds. The cost of the sunflower seeds is $0.10 per ounce. At this rate, what is the cost…
- Type Unit conversion, Ratios
- NYS standards 7.RP.3, 6.RP.3d
- Difficulty 3 of 5
- A box contains an unknown number of green marbles. An experimenter adds 100 red marbles to the box, mixes the marbles thoroughly, and then…
- Type Proportions and scale
- NYS standards 6.SP.1b, 6.RP.3
- Difficulty 3 of 5
- Melissa has a bag of marbles that are all the same size. The bag contains three red (R) marbles, three green (G) marbles, and…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Marcus and Isla are saving money to buy concert tickets. They decide to save the same amount each week. They already have $8 saved.…
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- Angle M and angle R are supplementary. The measure of angle R is 5 times the measure of angle M. What is the measure…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- RESULTS FROM SURVEY OF 110 FAMILIES Number of Children in the Family Number of Families 0 45 1 32 2 19 3 8 4…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that…
- A museum has a room in the shape of a rectangle. The area of the floor is 960 square feet. In a scale drawing…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 3 of 5
- A program on a computer randomly generates a sequence of whole numbers from 1 to 9, inclusive. If the computer generates a sequence of…
- Type Probability
- NYS standards 6.SP.7, 6.SP.8a
- Difficulty 2 of 5
- 8.9, 8.2, 8.5, 9.0, 8.4, 8.6, 8.8 At a skating championship, there are seven judges who each award a score for each skater’s performance.…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- A piece of wood that is 4 1/2 feet long is cut into 2 pieces of different lengths. The shorter piece has a length…
- Type Inequalities
- NYS standards 7.EE.4, 6.EE.8
- Difficulty 3 of 5
- Level Above grade 7
- What is the area, in square units, of the shaded region shown in the figure above?
- Type Area and perimeter, Coordinate plane
- NYS standards 6.G.1, 6.G.3
- Difficulty 2 of 5
- F = 9/5C + 32 Yesterday in Centerville, the highest Fahrenheit temperature, F, was 86°, and the lowest was 68°. What was the difference…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 3 of 5
- Let x be an odd number. In terms of x, what is the sum of the two even numbers closest to x?
- Type Number properties, Algebraic expressions
- NYS standards 6.EE.2a, 7.EE.1
- Difficulty 2 of 5
- On Wednesday, a baker produced 100 more loaves of bread than were produced on Tuesday. On Thursday, the baker produced 50 fewer loaves than…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- QUIZ SCORES IN MRS. ARCH’S CLASS Quiz Score Number of Students 60 9 70 7 80 4 90 5 100 3 In the table…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 3 of 5
- Nura made a square poster with a side length of 13 inches. Latrice made a square poster with a side length of 15 inches.…
- Type Area and perimeter
- NYS standards 6.EE.2c, 6.G.1
- Difficulty 2 of 5
- Level Below grade 7
- INGREDIENTS FOR 4 SERVINGS OF OATMEAL Ingredient Cups Oats 2/3 Water 3 1/4 The table shows the cups of ingredients used to make 4…
- Type Rates and speed, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 3 of 5
- In a certain state, the sales tax rate increased from 7.0% to 7.5%. What was the increase in the sales tax on a $200…
- On the number line above, the distance between X and Y is 1 unit, and the distance between Y and Z is 2 units.…
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- Level Below grade 7
- A tank with a 500-gallon capacity currently contains 75 gallons of water. Additional water is poured into this tank at a rate of 5…
- Carolyn walked 3 miles from her house to the library and then 2 1/2 miles farther to the grocery store. Returning home by the…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
- Two number cubes have sides labeled 1 through 6. Both number cubes are rolled. How many different outcomes will have a sum of 6?
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Format Grid-in
- At one location, the temperature increased from −7° F to 4° F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was…
- Type Arithmetic and order of operations
- NYS standards 7.NS.3, 7.NS.1c
- Difficulty 3 of 5
- Format Grid-in
- If 9/2x=3y/8, where x≠ 0 and y≠ 0, what is the product of x and y?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.2b
- Difficulty 3 of 5
- Level Above grade 7
- In a sports league, each team has 36 players and 3 coaches. There are also a number of team assistants. The ratio of team…
- Lena is building a fence. She will need to dig holes to help support the posts that hold up the fence. The holes need…
- Type Fractions and decimals
- NYS standards 7.NS.3
- Difficulty 1 of 5
- Level Below grade 7
- Claire is running on a circular track. She has already run 650 meters. Each lap around the track is a distance of 120 meters.…
- Type Arithmetic and order of operations
- NYS standards 7.EE.4b, 6.NS.2
- Difficulty 3 of 5
- A bowl contains 12 green candies, 4 yellow candies, and some red candies. The probability of choosing a green candy at random is twice…
- Type Probability
- NYS standards 6.SP.8a, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
- The high temperature on Monday was x° F. On Tuesday, the high temperature was 84° F, which was a 5% increase from Monday’s high…
- Michael received a check for $213 for working 20 hours at his part-time job. The amount on the check was his total pay after…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- A box contains a total of 30 paper clips with colors in the ratio red:white:blue=2:5:3. Suppose that one paper clip of each color is…
- Type Probability, Ratios
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
- Rita used 125 small solid cubes to build a large solid cube. The measure of each edge of the small cubes equals 1 inch.…
- Type Volume and surface area, Exponents and roots
- NYS standards 6.G.5, 6.G.2
- Difficulty 1 of 5
- Level Below grade 7
- Jamel works at a computer store. He is paid an hourly rate plus a 15% commission on all computer products he sells. Last week,…
- Type Percents, Rates and speed
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 3 of 5
- Points Y and Z are not shown on the number line above. If X is the midpoint of WY, and Y is the midpoint…
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- Level Below grade 7
- The product of two positive integers is 65. Which number could be the sum of the two integers?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 1 of 5
- Level Below grade 7
- A soccer coach purchased 15 pairs of cleats for team members and spent a total of $805.95, including tax. If the tax rate is…
- The numbers m, n, p, and q are different, and each is equal to one of the numbers 1, 2, 3, 6, or 12.…
- Type Linear equations
- NYS standards 6.EE.5, 6.EE.7
- Difficulty 3 of 5
- Level Above grade 7
- {0.1, 0.01, 0.001, 0.0001, 0.00001} If a person chooses a number at random from the set above, what is the probability that the number…
- Type Probability, Fractions and decimals
- NYS standards 6.SP.8a, 6.NS.7a
- Difficulty 2 of 5
- Level Below grade 7
- A student uses Spinner R and Spinner T to generate a list of two-digit numbers. Spinner R determines the digit in the tens place,…
- Type Probability, Number properties
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 4 of 5
- Level Above grade 7
- Lamel has a jar containing 6 red chips, 10 blue chips, and 4 yellow chips. If he removes one chip at random, what is…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- Level Below grade 7
- In the parallelogram above, what is the value of x + y?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
- The shaded sector of the circle shown above has an area of 18π square feet. What is the circumference of the circle?
- A scientist mixed three chemicals, R, S, and T, in a glass container. The amount of R is 3 times the amount of S,…
- Yesterday Sarah read 15% of her entire book. Today she read another 17% of the entire book. In lowest terms, what fraction of the…
- Type Percents, Fractions and decimals
- NYS standards 7.EE.3, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
- {1,2,3,4,5,,198,199,200} How many members of the set shown above are multiples of 6 but not multiples of 9?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 4 of 5
- Level Above grade 7
- ESSAY LENGTH Number of Words Number of Essays 500 9 All 150 students in Grade 8 at a school are assigned to write an…
- Type Proportions and scale
- NYS standards 6.SP.1b, 6.RP.3
- Difficulty 3 of 5
- In the figure above, the shaded rectangle is similar to the outer rectangle. The length of the outer rectangle is 4 feet, and the…
- Type Area and perimeter, Proportions and scale
- NYS standards 8.G.4, 7.G.1
- Difficulty 4 of 5
- Level Above grade 7
- Vicente and Carla each ran 8 laps around a track. They started at the same time and place. If Vicente ran 1.5 times as…
- Type Proportions and scale
- NYS standards 7.RP.3, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
- A train travels 2,200 miles from Phoenix to New York City. The train covers the first 240 miles in 5 hours. If the train…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.NS.2
- Difficulty 3 of 5
- In a scale drawing of a rectangular garden, the length is 15 inches and the width is 9 inches. In the drawing, 2 inches…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- Format Grid-in
- The diagram above shows a rectangle with an inscribed triangle. The triangle’s vertex and base touch the sides of the rectangle as shown. What…
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 3 of 5
- Orange juice costs $2 per gallon, and grapefruit juice costs $3 per gallon. A recent shipment of equal amounts of the two types of…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- Five consecutive numbers have a sum of 110. What is the least of these consecutive numbers?
- Type Number properties
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- FRUIT SOLD AT STORE XYZ Fruit Number Sold Apples 8 Bananas 6 Cherries 12 Oranges 6 Peaches? Total 50 Peaches made up what percentage…
- The sum of the numbers x, y, and z is 40. The ratio of x to y is 1:2, and the ratio of y…
- PRICE OF A USED VIDEO GAME AT VARIOUS STORES Price of Used Video Game Number of Stores $10.99 5 $11.99 2 $12.99 1 $13.99…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 2 of 5
- The side length of square S is shorter than the side length of square T by 1 centimeter. The area of square S is…
- Type Area and perimeter
- NYS standards 6.G.5, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- The height of a tree in 2013 is 300% of the height it was in 2003. By what percentage did its height increase over…
- The Barnes family and the Ramirez family each have a pizza of equal size. The first pizza is cut into 18 equal slices, and…
- Type Inequalities, Fractions and decimals
- NYS standards 7.EE.4b, 6.RP.3
- Difficulty 4 of 5
- Level Above grade 7
- {3, 4, 5, 6, 7} A student made a list of all possible products of 2 different numbers in the set above. What fraction…
- Type Number properties, Counting and arrangements
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 3 of 5
- The garden design shown above is created in the shape of three semicircles whose diameters lie on the sides of an equilateral triangle. If…
- The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if…
- A survey asked students what pets they have. Based on the results, the following statements are all true. 20 students have cats. 23 students…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Format Grid-in
- Jenny starts a game with twice as many marbles as Keiko. Jenny gives Keiko 5 marbles, but she still has 10 more than Keiko.…
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
- PEOPLE PER VEHICLE AT CHECKPOINT Number of People in Vehicle Percent of Vehicles 1 40% 2 35% 3 15% 4 7% 5 or more…
- Type Tables, charts and graphs, Percents
- NYS standards 6.RP.3c, 6.SP.5
- Difficulty 3 of 5
- The sum of the numbers x, y, and z is 50. The ratio of x to y is 1:4, and the ratio of y…
- Today, Tien’s age is 1/4 of Jordan’s age. In 2 years, Tien’s age will be 1/3 of Jordan’s age. How old is Jordan today?
- Type Two-variable problems
- NYS standards 8.EE.8c, 8.EE.7b
- Difficulty 4 of 5
- Level Above grade 7
- An unmarked straight stick will be laid end over end to measure a distance of exactly 72 feet. The same stick will be used…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
- Ryan must read 150 pages for school this weekend. It took him 30 minutes to read the first 20 pages. At this rate, how…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.3d
- Difficulty 3 of 5
- In the set of consecutive integers from 12 to 30, inclusive, there are four integers that are multiples of both 2 and 3. How…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 4 of 5
- Level Above grade 7
- The graph above shows the number of schools per city for five small cities. Cities M and N each have 500 students per school.…
- Type Tables, charts and graphs
- NYS standards 6.RP.3b, 6.SP.5
- Difficulty 2 of 5
- Level Below grade 7
- On the number line above, points W, X, Y, and Z are integers, and WX:XY:YZ = 4:2:3. What is the value of WY?
- Type Ratios, Number line and absolute value
- NYS standards 7.RP.3, 7.NS.1c
- Difficulty 4 of 5
- Level Above grade 7
- SCORES ON BIOLOGY TEST Section Lowest Score Range I 65 28 II 62 25 III 67 22 Mr. Blake’s biology class is divided into…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.3
- Difficulty 3 of 5
- A sports store has a container of handballs: 4 blue, 5 red, 8 yellow, 9 white, and 11 green. If one ball is picked…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
- Using the approximation 2.54 centimeters = 1 inch, how many centimeters are in 4 feet 7 inches?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- On the number line above, JK=3 1/2, JM=9 3/4, and LM=1 1/8. What is the position of point L?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 7.NS.1b
- Difficulty 5 of 5
- Level Above grade 7
- SERVINGS OF FRUITS AND VEGETABLES Number of Servings of Fruits and Vegetables Number of Students 0 5 1 7 2 3 3 4 4…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c
- Difficulty 3 of 5
- A paste used to cover a billboard is made by mixing the following ingredients by weight: 4 parts powder, 3 parts water, 2 parts…
- Tyler has completed 60 pages in his French workbook. This is 20% of the total number of pages in the workbook. How many pages…
- In the figure above, PQRS is a parallelogram. The measure of ∠PQT is 50°, and the measure of ∠PTQ is 70°. What is the…
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
- A roofing contractor uses shingles at a rate of 3 bundles for every 96 square feet of roof covered. At this rate, how many…
- Type Proportions and scale
- NYS standards 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
- DESSERT CHOICES Dessert Number of Times Ordered Cookies 42 Pie 23 Cake 47 Ice Cream 48 The table above shows the number of times…
- Type Probability
- NYS standards 6.SP.8b, 6.RP.3c
- Difficulty 1 of 5
- Level Below grade 7
- A large circular dinner plate has a radius of 20 centimeters. A smaller circular plate with a circumference of 20π centimeters is placed in…
- PRICES FOR NEWSPAPER ADVERTISING Page Space Price 1/4 page $200 1/2 page $350 full page $600 The table above shows prices for newspaper advertising.…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
- A United States presidential coin is made from an alloy of four metals—copper, zinc, manganese, and nickel—with weights in the ratio of 177:12:7:4, respectively.…
- A cylindrical oil drum can hold 4,320 liters when it is completely full. Currently, the drum is 1/3 full of oil. How many kiloliters…
- Type Fractions and decimals, Unit conversion
- NYS standards 7.NS.3, 6.RP.3d
- Difficulty 3 of 5
- A chemical decays in such a way that the amount left at the end of each week is 20% less than the amount at…
- Three students stand at the starting line of a running track and begin running laps at the same time. Ann completes 1 lap every…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
- A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full.…
- Type Two-variable problems, Percents
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7
- R, S, and T are midpoints of the sides of square MNPQ, as shown above. What is the sum of the areas of the…
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 2 of 5
- Level Below grade 7
- SURVEY OF CATS PER FAMILY Number of Cats Number of Families 0 15 1 42 2 35 3 or more 8 The table above…
- On a bike trip, Rajiv traveled 65 kilometers in 5 hours, while Shaina traveled 72 kilometers in 4 hours. How much less was Rajiv’s…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.2
- Difficulty 1 of 5
- Level Below grade 7
- Points P, Q, R, and S represent −3, −1, 0, and 2, respectively, on a number line. How many units is the midpoint of…
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- In the quarter circle above, what is y in terms of x?
- In a sample of 50 cars at a local dealership, there are 12 red cars and 10 cars with backup cameras. Of the 12…
- Type Probability, Counting and arrangements
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
- 14/21=p/7 In the equation above, what is the value of p?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below grade 7
- A ball is selected at random from a box that contains 7 black balls, 14 green balls, and 21 red balls. What is the…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
- At North High School, a survey asked two questions, Question A and Question B. For each question, students could answer either “yes” or “no.”…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 7.EE.4
- Difficulty 5 of 5
- Level Above grade 7
- Carlos tossed a paper cup in the air 50 times and found that the probability of it landing on its side was 72%. If…
- Type Probability, Percents
- NYS standards 6.SP.7, 6.RP.3c
- Difficulty 3 of 5
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