Download FOR STUDENTS ENTERING HONORS PRE

FOR STUDENTS ENTERING HONORS PRE-ALGEBRA
Name __________________________________
DIRECTIONS: All work must be shown on the squares attached to this sheet. Draw a box around your final answer. If
you choose to not show work, then no credit will be given for the problem. This summer packet will count for two quiz
grades.
1. Use digits to write two hundred five million, fifty-six thousand.
1
3
1
2. 1 3 + 3 4 + 1 6
3.
5
6
2
× 3 × 23
4. 5.62+0.8+4
5. 0.08÷(1÷0.4)
6. The children held hands and stood in a circle. The diameter of the circle was 10 m. What was the circumference of
the circle? (Use 3.14 for pi.)
7. Write the prime factorization of 750 using exponents.
8. Divide 555 by 12. Write the answer with a remainder and as a mixed number.
9. Reduce:
1
2
10. 2 − 1
60
84
2
3
11. At noon the temperature was -3 degrees Fahrenheit. By sunset the temperature had dropped another five degrees.
What was the temperature at sunset?
12. What is the total price, including 7% tax, of a $14.49 item?
13. As Elsa peered out her window she saw 48 trucks, 84 cars, and 12 motorcycles go by her home. What was the ratio
of trucks to cars that Elsa saw?
2
1
14. 6 3 ÷ 4 6
15. Write one hundred five thousandths as a decimal number.
16. Round the quotient of $7.00 ÷ 9 to the nearest cent.
17. 0.625 x 2.4
18. The heights of the five starters on the basketball team are listed below. Find the mean, median, and range of these
measures. 181 cm, 177 cm, 189 cm, 158 cm, 195 cm
19. Six is what fraction of 15?
20. Six is what percent of 15?
21. Arrange in order from least to greatest. 9.9, 9.95, 9.925, 9.09
22. Round 58,697,284 to the nearest million.
Use the rhombus at the right for problems 23-25.
23. What is the perimeter of the rhombus?
24. What is the area of this rhombus?
25. If an acute angle of this rhombus measures
61 degrees, then what is the measure of each obtuse angle?
1
3
1
4
26. 3 𝑓𝑡 × 2 𝑓𝑡
27. Find the least common multiple of 6, 8, and 12.
28. What is the area of the triangle to the right?
29. Find the greatest common factor of 30 and 45.
30. What is the sum of the first five positive even numbers?
31. The perimeter of this isosceles triangle is 18 cm.
What is the length of its longest side?
4cm
32. (1 + 0.5) ÷ (1 − 0.5)
Use the figure to the right to answer questions 33-35.
33. What is the area of the shaded rectangle?
34. What is the area of the unshaded rectangle?
35. What is the combined area of the two rectangles?
36. 1
1
9
×2
1
5
37. 36 + 472 + 3614
38. 5207 – 948
39. 164 • 89
40. 36 + 18 + 23 + n = 175
5
41. What number is 6 of 180?
42. Jenny rode her bike on a trip with her bicycling club. After the first day Jenny’s trip odometer showed that she had
traveled 86 miles. After the second day the trip odometer showed that she had traveled a total of 163 miles. How far
did Jenny ride the second day?
43. At Russell Middle School there were 232 seventh-grade students in eight classrooms. If there were the same
number of students in each classroom, how many students would be in each seventh-grade classroom at Russell Middle
School?
44. List all the prime numbers less than 20.
45. Write 5280 is expanded notation.
46. Write 65% as a reduced fraction.
47. x – 5.3 = 12
48. Write 1.2 as a reduced mixed number.
3
49. √36 − 𝑚 = 2 10
50. 32 + 𝑛 = 5.39
51. If the area of a square is 36 square centimeters, what is the perimeter of the square?
52. Nine dollars is what percent of $12?
53. Robert flipped a coin. It landed heads up. He flipped the coin a second time. It landed heads up. If he flips the coin
a third time, what is the probability that it will land heads up?
1
54. Arrange in order from least to greatest. 6.1, √36, 6 4
55. If a 32 ounce box of cereal costs $3.84, what is the cost per ounce?
56. A classroom that is 30 feet long, 30 feet wide, and 10 feet high has a volume of how many cubic feet?
57. Two fifths of the 160 acres were planted with alfalfa. How many acres were not planted with alfalfa?
58. If the chance of rain is 80%, what is the probability that it will not rain. Express the answer as a decimal.
59. The first three prime numbers are 2, 3, and 5. What is the product of the next three prime numbers?
60. The average of three numbers is 20. If the greatest is 28 and the least is 15, what is the third number?
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