Summary

This is a collection of 7th grade exam questions, likely from a secondary school. It features mathematical problems, such as probability questions that test students' understanding of probability concepts using real-world examples. There are word problems and other mathematical problems and questions which require critical analytical thinking to solve.

Full Transcript

7th Grade EXAMs Questions Name: Date: 1. Kerry has a bag containing white and yellow 3. Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from...

7th Grade EXAMs Questions Name: Date: 1. Kerry has a bag containing white and yellow 3. Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble the bag, records the result, and returns the marble to the bag. The results of the rst 65 selections to the bag. The results of the rst 65 selections are shown below. are shown below. A white marble was selected 41 times. A white marble was selected 41 times. A yellow marble was selected 24 times. A yellow marble was selected 24 times. Based on these results, what is the probability Based on these results, what is the probability that the next marble Kerry selects, rounded to the that the next marble Kerry selects, rounded to the nearest percent, will be white? nearest percent, will be white? A. 41% B. 50% C. 59% D. 63% A. 41% B. 50% C. 59% D. 63% 2. Kerry has a bag containing white and yellow 4. Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble the bag, records the result, and returns the marble to the bag. The results of the rst 65 selections to the bag. The results of the rst 65 selections are shown below. are shown below. A white marble was selected 41 times. A white marble was selected 41 times. A yellow marble was selected 24 times. A yellow marble was selected 24 times. Based on these results, what is the probability Based on these results, what is the probability that the next marble Kerry selects, rounded to the that the next marble Kerry selects, rounded to the nearest percent, will be white? nearest percent, will be white? A. 41% B. 50% C. 59% D. 63% A. 41% B. 50% C. 59% D. 63% page 1 5. At a grocery store, the price of a watermelon is 7. A candy store sells caramels and milk chocolate determined by how many pounds the watermelon by the pound. The table below shows the total weighs. The price of a watermelon that weighs cost, in dollars, for a pound of each type of candy 7.3 pounds is $4.38. the store sells. Write an equation that can be used to determine CANDY PRICES the price, p, in dollars, of any watermelon based Price per Pound on the number of pounds, w, the watermelon Type of Candy (dollars) weighs. Explain the process you used to determine the equation. Caramels $9.28 Milk chocolate $12.80 How much more is the cost for 1 34 pounds of milk chocolate than the cost for 1 43 pounds of caramels? 8. A museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based on these results, 6. Omar and Caleb each had a repair made on their about how many people out of 2,300 visitors to cars. The initial cost of each repair is $1,000. the museum would be expected to stop at the gift Omar and Caleb each have two coupons. Each of shop? them uses both of his coupons toward the cost of the repair. One coupon is for $80 o the repair cost. The other coupon is for 15% o the repair cost. Omar and Caleb use their coupons in a di erent order, as shown below. Omar uses the $80 o the repair cost coupon rst. He then uses the 15% o the repair cost coupon on the remaining balance. 9. Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of Caleb uses the 15% o the repair cost $3.25 is added to the cost of the order. The total coupon rst. He then uses the $80 o cost of Todd's order before tax is $85.75. How the repair cost coupon on the remaining many pictures did Todd order? balance. Who paid the least amount of money for his car repair and how much less did he pay? 10. A car travels 30 15 miles in 23 of an hour. What is the average speed, in miles per hour, of the car? page 2 7th Grade EXAMs Questions 11. A company starts to track the number of phone 14. What is the value of 3 0:1 5 7 21 ? calls received each month. Information about the number of phone calls the company received the 1 9 9 18 rst three months of tracking is listed below. A. 98 B. 50 C. 5 D. 1 During the rst month, the company received 4,264 phone calls. During the second month, the company received 25% more phone calls than in the rst month. During the third month, the company received 6,396 phone calls. What was the percent increase in the number of 15. A coach of a baseball team orders hats for the phone calls from the second month to the third players on his team. Each hat costs $9.95. The month? shipping charge for the entire order is $5.00. There is no tax on the order. The total cost of the coach's order is less than $125.00. Which inequality can be used to determine the greatest number of hats, h, the coach orders? A. 5h + 9:95 > 125 B. 5h + 9:95 < 125 12. Susan buys the items listed below at a grocery store. C. 9:95h + 5 > 125 D. 9:95h + 5 < 125 2 packages of chicken priced at $12.36 per package 1 2pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $3.49 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.80 in change. What amount of money does Susan use to pay for 16. A company sells artwork using a website. the items? Information about the number of people that visited the website and the number of pieces of artwork purchased on a single day is listed below. 117 people did not purchase any artwork 24 people purchased one piece of artwork 9 people purchased more than one piece 13. A worker at a snack stand opened a new box of of artwork cups. The rst day, the worker used 30 cups from Based on the data from that day, what is the the box. The second day, the worker used 15% probability that the next person to visit the website of the remaining cups in the box. A total of will purchase more than one piece of artwork? 90 cups were used on the second day. What was the original number of cups in the box before any cups were used? A. 1 B. 9 C. 3 D. 3 9 9 50 47 A. 400 B. 570 C. 630 D. 800 page 3 7th Grade EXAMs Questions 17. Which expression is equivalent to 2(x + 7) 18x + 54 ? 20. Manny goes bowling. He has $25.00 to spend. 74 139 A. 20x + 5 B. 20x + 5 He spends $4.25 to rent shoes. C. 16x + 74 D. 16x + 139 He spends $2.50 for each game he bowls. 5 5 Which inequality can Manny use to determine x, the greatest number of games he can bowl? A. 2:5 + 4:25x 25 B. 4:25 + 2:5x 25 C. 2:5 + 4:25x 25 D. 4:25 + 2:5x 25 18. Which situation results in a nal value of zero? A. the overall change in temperature when the temperature goes from 10 F to 10 F B. the total pro t made when a person buys an item for $2.25 and then sells the item for 21. What value will make the equation true? $2.25 2:1 ? = 1 21 C. the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level A. 3.6 B. 0.6 C. 0.6 D. 3.6 D. the total distance a person travels when he bikes 3.1 miles to school and then bikes 3.1 miles back home 22. Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the 19. A middle school principal wants to change the model is 1 inch = 47 feet. What is the actual lunch menu at the school. The principal surveys area, in square feet, of the base of the building? the students to determine how the students would feel about the changes. Which survey method will A. 141 B. 282 C. 2,209 D. 4,418 produce the best representative sample? A. survey every fth student who rides in a car to school B. survey 3 randomly selected students from every homeroom 23. Which expression is equivalent to 7a 8 12a + 4? C. survey every tenth seventh-grade student during lunch A. 9a B. 31a D. survey 5 randomly selected students from every art, drama, and music class C. 5a 4 D. 19a + 12 page 4 7th Grade EXAMs Questions 24. An object travels along a horizontal straight path 27. The ratio of boys to girls in Mr. Johnson's 1 at a constant rate. The object travels 20 of the after-school club is the same as the ratio of boys 3 length of the path in 4 second. At that rate, how to girls in Ms. Greene's after-school club. There many seconds does it take the object to travel the are 4 boys and 12 girls in Mr. Johnson's club. entire length of the path? There are 6 boys in Ms. Greene's club. How many girls are in Ms. Greene's club? A. 15 B. 15 43 C. 20 D. 20 43 A. 2 B. 12 C. 14 D. 18 25. Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 12 pounds of apples this week at the grocery store? 28. From 12:00 midnight to 6:00 am , the temperature decreased by 12 C. If the original temperature A. $4.77 B. $6.48 C. $6.75 D. $6.93 was 12 C, which expression can be used to represent this situation? A. 12 12 B. 12 + 12 C. 12 ( 12) D. 12 + ( 12) 26. The regular price of an item at a store is p dollars. The item is on sale for 20% o the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item. Expression A: 0:2p Expression B: 0:8p Expression C: 1 0:2p Expression D: p 0:2p Expression E: p 0:8p 29. On average, Shawnte drinks 12 of a 6-ounce glass of water in 32 hour. How much water does she Which two expressions each represent the sale drink in an hour? price of the item? A. 0.75 ounce B. 2 ounces A. Expression A and Expression E C. 4.5 ounces D. 9 ounces B. Expression B and Expression C C. Expression B and Expression D D. Expression C and Expression D page 5 7th Grade EXAMs Questions 30. Joseph's lunch at a restaurant costs $13.00, without 33. An o ce supply store sells boxes of pencils. Each tax. He leaves the waiter a tip of 17% of the cost box contains 160 pencils. Write an equation of the lunch, without tax. What is the total cost that represents the total number of pencils, y, in of the lunch, including the tip, without tax? x boxes. If x = 12 for one day of sales, use your equation A. $2.21 B. $10.79 to nd the total number of pencils the supply store sells. C. $13.17 D. $15.21 7 31. What is the exact decimal equivalent of 12 ? 34. A furniture store is advertising a 20% discount on the price of sofas. Scott chooses a sofa with a discounted price of $460.00. He must also pay an A. 0.583 B. 0:583 C. 1.714 D. 1:714 8% sales tax. How much money will Scott save on the discounted sofa, including tax, compared to the originally priced sofa, including tax? $ 32. Clara goes miniature gol ng. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs? 35. An equation is shown below. 1 A. 6:25x + 7:50 = 26:25 2(x 9) = 9 3 B. 6:25x 7:50 = 26:25 What value of x makes the equation true? C. 7:50x + 6:25 = 26:25 A. 9.0 B. 4.5 C. 3.0 D. 7.5 D. 7:50x 6:25 = 26:25 page 6 7th Grade EXAMs Questions 36. Which situation results in a nal value of zero? 39. Mario sells men's and women's shoes in his shoe store. He is considering selling children's shoes. He randomly selected 120 customers to participate A. the overall change in temperature when the in a survey. The survey results are shown below. temperature goes from 10 F to 10 F 42 customers said they would shop for B. the total pro t made when a person buys an children's shoes item for $2.25 and then sells the item for $2.25 78 customers said they would not shop for children's shoes C. the overall change in altitude of a hot air balloon after rising 21 kilometers from sea Mario has an average of 440 customers per month. level Based on the survey results, which value is the best estimate of the number of customers that D. the total distance a person travels when he would shop for children's shoes during an average bikes 3.1 miles to school and then bikes month? 3.1 miles back home A. 120 B. 154 C. 220 D. 286 37. Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from 1 1 the bag, records the result, and returns the marble 40. What is 2% of ( 0:5) 4 ? to the bag. The results of the rst 65 selections are shown below. A. 0.000625 B. 0.00025 A white marble was selected 41 times. C. 0.065 D. 0.025 A yellow marble was selected 24 times. Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white? A. 41% B. 50% C. 59% D. 63% 41. A box contains paper clips of three di erent sizes. The numbers of each size of paper clip are listed below. 100 small paper clips 250 medium paper clips 150 large paper clips 38. What value will make the equation true? One paper clip is randomly selected from the box. 2:1 ? = 1 12 What is the probability that the paper clip selected is either small or medium? A. 3.6 B. 0.6 C. 0.6 D. 3.6 1 2 3 7 A. 3 B. 3 C. 7 D. 10 page 7 7th Grade EXAMs Questions 42. Which expression is equivalent to 7a 8 12a + 4? 45. The ratio of boys to girls in Mr. Johnson's after-school club is the same as the ratio of boys to girls in Ms. Greene's after-school club. There A. 9a B. 31a are 4 boys and 12 girls in Mr. Johnson's club. There are 6 boys in Ms. Greene's club. How C. 5a 4 D. 19a + 12 many girls are in Ms. Greene's club? A. 2 B. 12 C. 14 D. 18 43. Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 12 pounds of apples this week at the grocery store? 46. Jordan prepares 200 name tags to use at a meeting. The number for each color of name tag A. $4.77 B. $6.48 C. $6.75 D. $6.93 is described below. 35% of the name tags are blue 3 8 of the name tags are yellow all of the remaining name tags are red How many of Jordan's name tags are red? 44. The regular price of an item at a store is p dollars. The item is on sale for 20% o the regular price. A. 55 B. 90 C. 110 D. 145 Some of the expressions shown below represent the sale price, in dollars, of the item. Expression A: 0:2p Expression B: 0:8p Expression C: 1 0:2p Expression D: p 0:2p Expression E: p 0:8p Which two expressions each represent the sale 47. From 12:00 midnight to 6:00 am , the temperature price of the item? decreased by 12 C. If the original temperature was 12 C, which expression can be used to represent this situation? A. Expression A and Expression E B. Expression B and Expression C A. 12 12 B. 12 + 12 C. Expression B and Expression D C. 12 ( 12) D. 12 + ( 12) D. Expression C and Expression D page 8 7th Grade EXAMs Questions 48. What is the value of the expression shown below? 49. Clara goes miniature gol ng. She pays $7.50 for an admission ticket and $6.25 for each round she 3 ( 4)( 6) 5 (10 + 15) golfs. The total amount Clara pays for admission 1 and the number of rounds she golfs is $26.25. 3 Which equation can be used to determine the number of rounds, x, that Clara golfs? A. 117 B. 13 C. 3 D. 27 A. 6:25x + 7:50 = 26:25 B. 6:25x 7:50 = 26:25 C. 7:50x + 6:25 = 26:25 D. 7:50x 6:25 = 26:25 page 9 7th Grade EXAMs Questions Problem-Attic format version 4.4.684 _c 2011–2024 EducAide Software Licensed for use by Hish kaz Terms of Use at www.problem-attic.com 7th Grade EXAMs Questions 12/20/2024 1. 12. Answer: D Answer: [response] Objective: CC 7.SP.6 Objective: CC 7.EE.3 Points: 1 Points: 1 2. 13. Answer: D Answer: C Objective: CC 7.SP.6 Objective: CC 7.EE.4a Points: 1 Points: 1 3. 14. Answer: D Answer: B Objective: CC 7.SP.6 Objective: CC 7.NS.2c Points: 1 Points: 1 4. 15. Answer: D Answer: D Objective: CC 7.SP.6 Objective: CC 7.EE.4b Points: 1 Points: 1 5. 16. Answer: [response] Answer: C Objective: CC 7.RP.2c Objective: CC 7.SP.6 Points: 1 Points: 1 6. 17. Answer: [response] Answer: C Objective: CC 7.EE.3 Objective: CC 7.EE.1 Points: 1 Points: 1 7. 18. Answer: [response] Answer: B Objective: CC 7.NS.3 Objective: CC 7.NS.1a Points: 1 Points: 1 8. 19. Answer: [response] Answer: B Objective: CC 7.SP.2 Objective: CC 7.SP.1 Points: 1 Points: 1 9. 20. Answer: [response] Answer: D Objective: CC 7.EE.4a Objective: CC 7.EE.4b Points: 1 Points: 1 10. 21. Answer: [response] Answer: C Objective: CC 7.RP.1 Objective: CC 7.NS.1c Points: 1 Points: 1 11. 22. Answer: [response] Answer: D Objective: CC 7.RP.3 Objective: CC 7.G.1 Points: 1 Points: 1 Teacher's Key Page 2 23. 35. Answer: C Answer: B Objective: CC 7.EE.1 Objective: CC 7.EE.3 Points: 1 Points: 1 24. 36. Answer: A Answer: B Objective: CC 7.RP.1 Objective: CC 7.NS.1a Points: 1 Points: 1 25. 37. Answer: B Answer: D Objective: CC 7.NS.3 Objective: CC 7.SP.6 Points: 1 Points: 1 26. 38. Answer: C Answer: C Objective: CC 7.EE.2 Objective: CC 7.NS.1c Points: 1 Points: 1 27. 39. Answer: D Answer: B Objective: CC 7.RP.3 Objective: CC 7.SP.2 Points: 1 Points: 1 40. 28. Answer: A Answer: A Objective: CC 7.EE.3 Objective: CC 7.NS.1a Points: 1 Points: 1 41. 29. Answer: D Answer: C Objective: CC 7.SP.7b Objective: CC 7.RP.1 Points: 1 Points: 1 42. 30. Answer: C Answer: D Objective: CC 7.EE.1 Objective: CC 7.RP.3 Points: 1 Points: 1 43. 31. Answer: B Answer: B Objective: CC 7.NS.3 Objective: CC 7.NS.2d Points: 1 Points: 1 44. 32. Answer: C Answer: A Objective: CC 7.EE.2 Objective: CC 7.EE.4a Points: 1 Points: 1 45. 33. Answer: D Answer: 1,920 pencils Objective: CC 7.RP.3 Objective: CC 6.EE.9 Points: 1 Points: 1 46. 34. Answer: A Answer: 124.20 Objective: CC 7.EE.3 Objective: CC 7.RP.3 Points: 1 Points: 1 47. Answer: A Objective: CC 7.NS.1a Points: 1 Teacher's Key Page 3 48. Answer: A Objective: CC 7.NS.3 Points: 1 49. Answer: A Objective: CC 7.EE.4a Points: 1

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