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Basic Skills Review for rising 7th graders Name:________________________________________ 1. Find the perimeter. __________ 2. Find the area. __________ 8ft 12 in 7ft 4 in Round these decimals to the nearest hundredth then put them in order from least to greatest. 3. 4.0271, 0.0451, 0.2713 ___________________________ ESTIMATE the sum and difference of these two decimals. 4. (sum) 21.45 and 5.27 _____________ 5. (difference) 21.45 and 5.27 __________ 1 Using these two decimals (in this order), add, subtract, multiply, and divide them. (Round your answer to the nearest hundredth) 21.47 and 3.2 6. (addition) ______________ 7. (subtraction) ______________ 8. (multiplication) _____________ 9. (division) ______________ 11. 31 _____________________ Label these numbers Prime or Composite. 10. 49 ____________________ Answer the following. 12. 420 is divisible by which of these numbers? (Circle all that apply) 2, 3, 5, 6, 9, & 10 13. 2 ½ hr = ____________min 14. 3 ½ yards = _____________ ft. 15. 14 cups = ________ qts. 16. 1,000 lbs = __________ ton 2 17. 140 km = ________ m. 18. 350cm = __________ m 19. A box of specialty baking flour holds 1.8 kilograms. How many angel food cakes can be made from this box with a recipe that calls for 100 grams? ___________________ 20. Put the following numbers in order on the number line below. Be sure to label positive and negative numbers appropriately. 4 6 –2, 12, − , , 5 7 21. 1 9 , 10 – 1.2, 0.04, – 8 Order these fractions from least to greatest. 3 1 5 , , 4 2 8 ____________________ Write the mixed number as an improper fraction. 22. 1 5 9 __________ 23. 15 2 3 __________ 3 Write the improper fraction as a mixed number. 24. 23 6 __________ 25. 83 8 __________ Convert the decimal to a fraction or the fraction to a decimal. 26. 28. 3 8 __________ 27. 0.45 __________ 3 5 __________ 29. .125 __________ 1 For problems 29 to 40, make sure to simplify all fractions and leave final answer as an improper fraction or mixed number. NO DECIMALS!!! Add or Subtract. 30. 4 2 + __________ 7 7 31. 3 2 + 5 3 __________ 32. 7 3 − 17 17 33. 5 4 − 6 9 __________ __________ 4 34. 3 1 2 + 5 3 __________ 35. 3 5 3 − 8 4 __________ Multiply or Divide. 36. 2 4 ⋅ __________ 3 3 37. 5 ⋅12 __________ 6 38. 3 3 ÷ __________ 4 8 39. 3 5 ÷ __________ 5 6 40. 2 3 2 ⋅ 5 4 1 1 41. 8 ÷ 2 6 3 __________ __________ Simplify each expression by adding or subtracting. 42. -3 + 8 __________ 43. 8 – (-7) __________ 5 44. -9 + 12 __________ 45. -21– 4 __________ Solve for the variable. 46. -3 + d = 14 __________ 47. -2 + 4 + -7 = x __________ 48. -12 = -5 + x __________ 49. 5+x=5 __________ 50. 9 + x = 12 __________ 51. 6+x=8 __________ 53. Find the area. __________ Answer the following. 52. Find the circumference. __________ diameter is 6in. (use 3.14 for π) 8ft 7ft 6 For problems 53 to 55, use the graph below. First Year Sales 3500 Sales (dollars) 3000 2500 2000 1500 1000 500 0 1 2 3 4 5 6 7 8 9 10 11 12 Months 54. Between what two months did sales increase the most? __________ 55. Between what two months did sales decrease the most? __________ 56. Between what two months did sales stay the same? __________ Solve each of the following. 57. 2 x = 3 12 __________ 58. 12 x = 100 75 __________ 7 59. 18 arrows 162 arrows = 3 bows ? ______________ 60. Set up a proportion and solve. If there are 8 green-eyed students out of a group of 80 students, predict the number of green-eyed students there are out of a group of 1600 students. 61. What is 18% of $76.00? 62. 12 is what percent of 300? __________ 63. 50 is 75% of what number? __________ __________ Simplify the following. 64. 12(2 + 7) – 24 ÷ 12 65. 24 – 9 • 2 + 6 ÷ 3 8