Grade 7 Math Review: Week 17-18 Exercises

Practice math skills with this Grade 7 benchmark review covering fractions, order of operations, percentages, and more. Solve problems on earning grades, calculating tax, finding circumference, and determining area. Enhance your math proficiency with these daily exercises.

• Grade 7
• Math review
• Fractions
• Percentages
• Order of operations

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1. DAILY MATH REVIEW GRADE 7 BENCHMARK 3 Revised: January 2018

2. BENCHMARK 3 WEEK 17

3. WEEK 17, DAY 1 1.) 3/5 of your class earned an A or a B last week. 1/4 of those teammates earned an A. What fraction of your class earned an A? 2.) Solve using the correct order of operations: 12 + 3(8-3) = 2 3.) What is 12% of 123? _ 4_ 33 4.) 1 +( - )= 5 5.) Zac buys jeans that are 33% off. If the original price was $72, what did he pay?

4. WEEK 17, DAY 2 Lilly s bill at a restaurant is $16.75. They add 8% tax. How much is the tax? 1.) You earn 5% interest on your $52. How much do you have? 2.) 3.) What is 40% of 17? 4.) 9 is 12% of what number? 6_ _ +(- )= 21 -33 5.) 5

5. WEEK 17, DAY 3 8_ 1 _ x = 10 2.) 5 What is the circumference? 1.) d = 3cm 3.) What is 130% of 12? 4.) What is 7% of 120? 5_ _ -21 +(- )= 31 5.) 2

6. WEEK 17, DAY 4 2.3 -1.6 = How much did I spend on my $24 meal with 7% tax and a 20% tip left after tax? 2.) 1.) 3.) 3.9 3 = 4.) 27 is 18% of what number? 4_ _ -63 +( )= -21 5.) 4

7. FRIDAY FIVE 3/5 of your class earned an A or a B last week. 1/4 of those teammates earned an A. What fraction of your class earned an A? 1.) 2.) You earn 5% interest on your $52. How much do you have? 3.) What is 130% of 12? 5_ _ 3.9 3 = -33 4.) 5.) +(- )= 21 6

8. BENCHMARK 3 WEEK 18

9. WEEK 18, DAY 1 If you read 40 pages in 2.5 hours, how many pages can you read in one hour? 2.) 1 4 1.) 5.75 - 2 = What is the diameter of this circle with a circumference of 22 inches? 3.) Your bill at a restaurant is $22.50. They add 8.5% tax. How much is the tax? 4.) d = ? If you add a 21% tip to the total (including tax) from problem #4, how much do you pay in total? 5.)

10. WEEK 18, DAY 2 -72 4 2.) Find the perimeter and area of a rectangle with a length of 12 inches and a width of 7 inches. 1.) Simplify: 4_ _ 3.) 53 +(- )= 11 3 A $61.50 video game is 78% off. How much do you pay? 4.) Simplify: 3(2x - 2) - 2(3 + x) 5.)

11. WEEK 18, DAY 3 Is it possible or not possible to draw a triangle with sides lengths of 4, 5 and 7? A field is 55 feet long and 15 feet wide. What is the area? 2.) 1.) -63 + (3.5 )= 3.) 4 Your bill at a restaurant is $20.30. They add 8% tax. How much is the tax? 4.) If you add a 20% tip to the total (including tax) in problem #4, how much do you pay in total? 5.)

12. WEEK 18, DAY 4 You are charged 27% interest each month on your credit card. If you charge $324 and do not pay it off after the first month, how much do you actually owe? 2.) 1.) What is the approximate radius of a circle with an area of 113 square cm? 4 7+3 3.) 5= $6 $5 allowance 4.) What is the slope of the increased allowance graph? $4 $3 8 10 12 14 5.) -7(5)(-2)(-4) = age

13. FRIDAY FIVE Is it possible or not possible to draw a triangle with sides lengths of 4, 5 and 7? 2.) What is the approximate radius of a circle with an area of 113 square cm? 1.) If you read 40 pages in 2.5 hours, how many pages can you read in one hour? 3.) A $61.50 video game is 78% off. How much do you pay? 4.) Simplify: 3(2x - 2) - 2(3 + x) 5.)

14. BENCHMARK 3 WEEK 19

15. WEEK 19, DAY 1 2.) 1.) Solve: 20 - 6 2 = Solve for x: 15 x =60 300 3.) Solve: 5x - 70 = 10 4.) You earn 5% interest on your $52. How much do you have all together? Three angles of a quadrilateral measure 25 , 40 , and 90 . What is the measure of the fourth angle? 5.)

16. WEEK 19, DAY 2 How much did Mike spend on a $14 meal with 7.5% tax? 1.) Is it possible to have a triangle with angles that measure 90 , 37.5 , and 52.5 ? Show your work! 2.) 3.) 37.62 4 = 4.) Solve and graph on a number line: -2x > 8 8_ 3_ 5.) +(- )= 31 -21

17. WEEK 19, DAY 3 What is the circumference in terms of ? What is the area? 1.) 2.) W = 5 cm L = 8 cm r = 4cm 3.) Solve: -4x + 20 = 0 4.) 108 is 90% of what number? 3 4 -1.25 = 5.)

18. WEEK 19, DAY 4 If you slice a cylinder perpendicularly to the base, what two dimensional shape will you create? 1.) 5 6 12 35 Multiply: 2.) 3.) 10.575 4.5 = 4.) Solve and graph on a number line: -3x > -9 4_ 5.) + (- ) = 31 -2.5

19. FRIDAY FIVE 8_ 1.) Solve for x: 3_ 2.) -21 +(- )= 31 15 x =60 300 108 is 90% of what number? 3.) 4.) Solve and graph on a number line: -2x > 8 If you slice a cylinder perpendicularly to the base, what two dimensional shape will you create? 5.)

20. BENCHMARK 3 WEEK 20

21. WEEK 20, DAY 1 Solve: 20 - 6 .24 = 1.) Solve for x: 15 30 2.) x = 250 4.) What shape will you create if you slice a triangular pyramid parallel to the base? 3.) Solve: -5(x - 10) = 30 Three angles of a quadrilateral measure 110 , 110 , and 70 . What is the measure of the fourth angle? What type of quadrilateral could this be? 5.)

22. WEEK 20, DAY 2 What is the length of a rectangle with a width of 7 cm an area of 84 square cm? Is it possible or not possible to draw a triangle with sides lengths of 4, 3 and 9? 2.) 1.) If you lose 20 games of solitaire for every 30 games you play, how many games will you lose if you play 270 games? 3.) Is it possible to slice a rectangular prism and get a triangle? Draw a picture to explain. 4.) 5.) Simplify: 4(2x - 2) - 2(3 - x)

23. WEEK 20, DAY 3 1.) List three shapes you can create by slicing a cone. Is it possible to have a triangle with angles that measure 110 , 37.2 , and 52.5 ? Show your work! 2.) What is the volume of triangular prism that has a base area of 15 cm2 and is 9 cm tall? 3.) 4.) Solve and graph on a number line: -2(x + 3) > 8 7 3 5 5.) = 30

24. WEEK 20, DAY 4 If you slice a cylinder parallel to the base, what two dimensional shape will you create? Why? 1.) 4 7 21 32 2.) Multiply: 56.25 - 2.25 = 3.) What is the circumference of circle with an area of 78.5 square feet? hint: use area to find the radius 4.) What is the volume of triangular prism that has a base area of 10 cm2 and is 8 cm tall? 5.)

25. FRIDAY FIVE 1 5 1.) What is the length of a rectangle with a width of 7 cm an area of 84 square cm? 2.) 37.5 = 3.) List three shapes you can create by slicing a cone. What is the volume of triangular prism that has a base area of 15 cm2 and is 9 cm tall? 4.) Solve: -5(x - 10) = 30 5.)

26. BENCHMARK 3 WEEK 21

27. WEEK 21, DAY 1 5 - 16 1 = . 1.) Solve: Name at least three 2D shapes you can create by slicing a triangular prism. Hint: draw a picture! 2.) Your date buys movie tickets ($22) and snacks ($14), then takes you to dinner ($47.50) and leaves a 22% tip. How much was spent for the entire night? 3.) What is the volume of a shoebox that is 12 inches long, 7 inches high, and 5 inches wide? 4.) 5.) _ 3_ - = 52 41 4

28. WEEK 21, DAY 2 1.) Solve using the correct order of operations: 9 (- 7) + 215 = 2.) (-24) - (824) - (-51) = Cindi finds a $89.50 sweater at 60% off. What percentage of the original price does she pay? From #3 above, what dollar amount does Cindi pay for her sweater? 3.) 4.) 1 7 4 9 5.) + =

29. WEEK 21, DAY 3 1.) 2.) A cereal box is 5 inches tall and 6 inches wide. If it can hold 360 cubic inches of rocks, what is the length? Solve for x: 2(x - 4) = 17 A circle has a diameter of 10 cm. What is the area? _ 4_ 3.) 4.) +(- )= 11 32 3 5 9 - .75 = 5.)

30. WEEK 21, DAY 4 Write two sentences answering the following question. How is adding fractions different from multiplying them? 8 9 4 8 9 4 1.) 3 + = 2.) 3 3.) = 4.) Shannon buys chicken, mashed potatoes, and a soda for $13.50. With 7.5% tax and a 18% tip, how much does she pay? 12 ft 5.) What is the volume: 6 ft 6 ft

31. FRIDAY FIVE 1.) Solve using the correct order of operations: 9 (- 7) + 215 = 2.) A circle has a diameter of 10 cm. What is the area? 5 9 3.) - .75 = 4.) What is the volume of a shoebox that is 12 inches long, 7 inches high, and 5 inches wide? Shannon buys chicken, mashed potatoes, and a soda for $13.50. With 7.5% tax and a 18% tip, how much does she pay? 5.)

32. BENCHMARK 3 WEEK 22

33. WEEK 22, DAY 1 What is the SURFACE AREA of a CUBE with a side length of 3 cm? 1.) You are charged 14% interest on your loan. If you borrow $725, how much do you actually owe? 2.) A square box is 9 cm tall. If you fill it 2/3 with water, how much water did you use? 3.) 4.) Simplify: 3x + 7 + 4(x - 2) 3 7 7 8 5.) - =

34. WEEK 22, DAY 2 1.) Your bill at a restaurant is $84.90. What will the tip be if you leave 20% for the server? What is the difference between the height of triangular prism and the height of the base of a triangular prism? Draw a picture to justify your answer. 2.) 3.) Solve for x and graph on a number line: -4(x + 3) = 62 4.) -5.24 4 = _ 123 Hint: How can you work SMARTER (not harder!) to solve this problem? + (-1.25) = 5.) 6

35. WEEK 22, DAY 3 60 - 7 9 = . Solve using the correct order of operations: 1.) 3 in 2.) What is the surface area: 4 in 3 4 7 in 9 = 3.) 20 You want to find out approximately how many 7th grade students in the state prefer math or language arts. You survey 50 students at your school. Is this a good sample? Why or why not? 4.) Robin buys a new outfit. Her total comes to $120.40. If the amount on the tags added up to $112, what was the tax percentage? 5.)

36. WEEK 22, DAY 4 Is it possible to create a trapezoid by slicing a rectangular pyramid? Draw a picture to prove your answer. 1.) 2.) (-5)(25)(-1)(-3) = A square box is 9 cm tall. If you fill it 1/3 with water, how much water did you use? Find the volume of a triangular prism that is 10 cm tall and has a triangular base with a height of 4 cm and a width of 5 cm. 3.) 4.) Every 10th shopper is asked to take a survey. What kind of sampling method is this? 5.)

37. FRIDAY FIVE Is it possible to create a trapezoid by slicing a rectangular pyramid? Draw a picture to prove your answer. 1.) 2.) -5.24 4 = A square box is 9 cm tall. If you fill it 2/3 with water, how much water did you use? 3.) 3 in 4 in 4.) What is the surface area: 7 in You want to find out approximately how many 7th grade students in the state prefer math or language arts. You survey 50 students at your school. Is this a good sample? Why or why not? 5.)

38. BENCHMARK 3 WEEK 23

39. WEEK 23, DAY 1 Mike rolls two dice, adds up the sum, and records his results, below. What is the experimental probability of the sum being odd? 1.) 20 out of 80 seventh graders prefer shopping over studying. What percentage of them prefer to shop? 2.) How many 2D shapes can you create by slicing a triangular prism? Support your answer with a drawing. 3.) Two angles of a triangle are each 50 . What must the third angle measure? What kind of triangle is this? 5.) 6 8 3.6 - ( - ) = 4.)

40. WEEK 23, DAY 2 1.) Zac surveyed his friends and found out that 6 out of 10 of them liked hip-hop. What percentage is that? Nicole has 6 red marbles and 6 blue marbles in a bag. She draws 2 marbles at a time, records the results, and returns them to the bag. Using the table below, what is the experimental probability of her drawing 2 blue marbles next? 2.) 3.) What is 110% of 24? Laura saves 25% on a $249 hotel room. How much does she pay? 5.) 4.) Solve for x: 30 - 4x = 68

41. WEEK 23, DAY 3 A square box is 9 cm tall. If you fill it 1/3 with water, how much water did you use? 1.) 2.) What is the area of circle with a circumference of 12.56 feet? 3_ 2 5_ 3.) 42 +( - )= 4.) -5.48 + 2.24= From a survey of 100 individuals who enjoy pizza, 10 said they like pepperoni, 30 said they like combination, 18 said they like cheese, and 42 said they like sausage. Out of 3,000 individuals, predict how many would like either pepperoni or sausage pizza. 5.)

42. WEEK 23, DAY 4 What is the volume of a rectangular prism which measures 6 feet by 9 feet by 3 feet? 1.) Find the surface area of a cube with a side length of 4 cm. 2.) 3.) What is 3/4 as a percent and a decimal? At a store, 3 people buy hats, 1 person buys jeans, 4 people buy sunglasses and 1 person buys nothing. What is the experimental probability that the next person will buy jeans? 60 350 240 = 4.) 50 5.)

43. FRIDAY FIVE Mike rolls two dice, adds up the sum, and records his results, below. What is the experimental probability of the sum being odd? 1.) 2.) Find the surface area of a cube with a side length of 4 cm. Nicole has 6 red marbles and 6 blue marbles in a bag. She draws 2 marbles at a time, records the results, and returns them to the bag. Using the table below, what is the experimental probability of her drawing 2 blue marbles next? 3.) 60 350 50 Solve for x: 30 - 4x = 68 = 240 4.) 5.)

44. BENCHMARK 3 WEEK 24

45. WEEK 24, DAY 1 1.) 18 out of 90 seventh graders prefer pizza over burgers. What percentage of them prefer burgers? 2.) A bowl contains 7 grapes, 4 strawberries and 10 blueberries. You choose two without looking. What is the probability that you chooses a grape and then a blueberry? 4.) A box of cookies is 12 inches tall and 5 inches wide and holds 600 cubic inches. What is the length of the box? What is the surface area: 3.) 4 in 2 in 11 in 5.) You earn 5% interest each month on your $600. How much do you have at the end of one month?

46. WEEK 24, DAY 2 An ice rink is 35 feet long and 12 feet wide. What is the area? 1.) 2.) A jar contains 7 quarters, 4 pennies and 10 dimes. Lilly chooses two coins without looking. What is the probability that she chooses a quarter and then a dime? 5_ 3.) -23 4.) +( )= 1.25 (-3)(30) = A square container is 9 cm tall. If you fill it 2/3 with apple juice, how much juice did you use? 5.)

47. WEEK 24, DAY 3 Name one 2D shape you can create by slicing a cone that you cannot create by slicing a cylinder. Justify your answer with a drawing. 1.) 3.) Find the surface area of object A. 2.) Find the volume of object A. 4.) There are 4 green marbles, 6 blue marbles, 5 red marbles, and 3 teal marbles in a jar. Two marbles are selected and marbles are not replaced. What is the probability of selecting a blue marble, then a teal marble? object A You are buying a circular carpet for your bedroom. The diameter is 9 feet. How much carpet should you buy? 5.)

48. WEEK 24, DAY 4 Object A 1.) 2.) What is the surface area of object A: 5 in What is the volume of object A: 3.) -105.504 8.4 = 2 in 10 in You have 4 Oreos and 2 chocolate chip cookies in a jar. What is the probability of pulling (and eating) two Oreos in a row? 4.) Mike rolls two dice, adds up the sum, and records his results, below. What is the experimental probability of the sum being EVEN? 5.)

49. FRIDAY FIVE A square container is 9 cm tall. If you fill it 2/3 with apple juice, how much juice did you use? 1.) A bowl contains 7 grapes, 4 strawberries and 10 blueberries. You choose two without looking. What is the probability that you chooses a grape and then a blueberry? Name one 2D shape you can create by slicing a cone that you cannot create by slicing a cylinder. Justify your answer with a drawing. 2.) 3.) 4.) You are buying a carpet for a circular bedroom. The diameter is 9 feet. How much carpet should you buy? Object A What is the surface area of object A: 5.) 5 in 10 in 2 in