End of Year Test B. Whole Numbers, Decimals, and Integers. Fractions. Name Date END OF YEAR TEST B. Answers. 5x 2 3y 3x 2y 5 8, 5 2 3, 1

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1 Whole Numbers Decimals and Integers 1. Which list orders the integers from greatest to least? A B C D The coldest U.S. temperature on record occurred at Prospect Creek Camp Alaska in 1971 when the thermometer dropped to 80 F. Alaska s record highest temperature is 100 F. The highest U.S. temperature on record occurred at Death Valley California in 191 when the thermometer soared to 14 F. California s record lowest temperature is 45 F. a. What is the difference between Alaska s record low and record high temperatures? b. What is the difference between California s record high and record low temperatures? c. What is the difference between the U.S. s record low and record high temperatures?. Widetry s employees are given a box of widgets and are asked to arrange them into two or more rows with each row containing the same number of widgets. An employee receiving a box with which number of widgets will be unable to successfully perform the task? A. 27 B. 8 C. 59 D What is the quotient 0.2? Fractions 5. A volunteer group is making gift baskets for hospitalized children. The volunteers have 00 teddy bears 525 coloring books and 450 boxes of crayons. Every basket must have the same contents and no items should be left over. a. What is the greatest number of gift baskets that can be made? b. What items will each basket contain? 6. Simplify the expression and then evaluate it when x 4 and y 2. 5x 2 y x 2y 7. Which list of fractions is in order from least to greatest? A B C D a. 2b. 2c a. 5b

2 8. What is the value of x x 4 x 6? 9. What is the product 1 4? A B. 2 4 C. 1 4 D By what do you multiply each side to solve the equation 16 4 b? 1 A. 16 B. C. 4 4 D Which statement is not true? A B. 1. C D Ratio Proportion and Percent 12. Latricia buys 24 roses for $96. What is the unit rate for a single rose? A. $4 B. $8 C. $16 D. $ For every raffle tickets he sells Marco earns 10 contest points. Marco sells 9 raffle tickets. He wants to know how many points he has earned. Which proportion can Marco use? A p B. 9 p 10 C p D. 10 p You are using an overhead projector to proportionally enlarge an image that measures 11 inches by 14 inches as much as possible so it fits on a 0.25-inch by 40-inch wall screen. a. What percent of the original width will the enlarged width be? b. What will be the length of the enlarged image? 15. A pair of hiking boots that regularly costs $49.95 is on sale for 20% off. What is the sale price of the boots? A. $9.99 B. $29.95 C. $9.96 D. $ You deposit $1000 into a savings account that earns simple interest at an annual rate of.5%. How much money will be in the account after 0 months? A. $87.50 B. $1050 C. $ D. $2050 Measurement 17. Trapezoid A has b 1 8 cm b 2 12 cm and h 4 cm. A similar trapezoid has dimensions that are half those of trapezoid A. How does the area change when the dimensions are halved? A. The area is 1 4 the area of trapezoid A. B. The area is 1 2 the area of trapezoid A. C. The area is 2 times the area of trapezoid A. D. The area is 4 times the area of trapezoid A a. 14b

3 18. A circular patio with a diameter of 16 feet is built in a backyard. To the nearest square foot what is the smallest amount of stone needed to cover the floor of the patio? Use.14 for. A. 50 ft 2 B. 100 ft 2 C. 201 ft 2 D. 804 ft What is the surface area of a square pyramid with a base side length of 8 inches and a slant height of 6 inches? A. 96 in. 2 B. 160 in. 2 C. 192 in. 2 D. 224 in Frozen orange juice comes in two different containers. One is a cylinder with a height of 6 inches and a diameter of 2 inches. The other is a square prism with a side length of inches and height of 4 inches. a. What is the surface area of each container? b. What is the volume of each container? c. Which container holds less orange juice? Explain. 21. Each of four cardboard containers has a height of 5 inches. Which has the least volume? A. a square pyramid with base side length of 7 in. B. a rectangular pyramid with base side lengths of 7 in. and 6 in. C. a cone with diameter 6 in. D. a cylinder with diameter 6 in. 22. Find the area of the figure. 5 in. 2 in. 2 in. 6 in. 2. A dartboard has a diameter of 18 inches and an inner circle with a diameter of inches. a. What is the circumference of the entire dartboard? b. What is the circumference of the inner circle? c. How many times longer around is the dartboard than its inner circle? a. 20b. 20c a. 2b. 2c. 6

4 Geometry 24. An angle measures 55. What is the measure of an angle that is complementary to it? A. 5 B. 45 C. 55 D Use the figure to answer the questions (x 50) a. 25b. 25c. 25d x a. 27b. a. Identify the polygon. b. Find the sum of the angle measures in this type of polygon. c. Find the unknown angle measures. d. Is the polygon regular? 26. Polygon MNOP polygon QRST. What is the value of x? N O R S c. M (2x 5) P Q T A. 7.5 B. 40 C. 45 D A ramp that sits against a building is 50 feet long and makes a 25 angle with the ground. 50 ft 25 a. What is the ramp s horizontal distance from the building? b. What is the height of the ramp? c. Is the ramp taller than it is wide or wider than it is tall? 64

5 Algebra 28. Aubrey scores 10 points more than Bryan on a trivia quiz. The sum of Aubrey and Carlos s scores is 100. Bryan scored 5 points. How many points did Carlos score? A. 5 B. 45 C. 55 D Use the figure to answer the questions. 15 w 5 y x a. 29b. 29c. 29d. 15 z 5 15 y x 0. See left a. Identify the figure and its vertices. b. Find the length of the figure. c. Find the width of the figure.. 4. d. Find the perimeter of the figure. 0. Solve the inequality and then graph its solution: 5 11 b. 1. What is the solution of the inequality 4c 5? A. c 1 2 B. c 1 2 C. c 2 D. c 8 2. Simplify the expression d 5 d 7. A. 5d B. 5d 2 C. d 12 D. d 5. Simplify the expression 18x. x 2 A. 6x x 5 B. x 5 6 C. 6x 5 D. 6 x 5 4. Hexagon ABCDEF is reflected in the y-axis to form hexagon A'B'C'D'E'F'. The coordinates of point B are (2 1). What are the coordinates of B'? A. ( 2 1) B. ( 2 1) C. (2 1) D. (2 1) 65

6 5. Which transformation of figure B could produce figure A? y A x See left. 7. 8a. 4 5 B A. reflection in the x-axis B. 180 rotation C. (x y) (x 4 y 2) D. (x y) (x 4 y 2) 8b. 8c. 6. Graph the linear equation on the grid: y x y O x What is the slope of the line that passes through the points (6 5) and ( 2 1)? A. 4 B. 4 C. 4 D The population of a country is The population increases by per year. a. Write a verbal model. b. Write an algebraic model in slope-intercept form. c. Find the population 6 years from now. 66

7 9. What is the sum of (5x x 2 8) and (x x 2 7x)? A. 6x 2x 2 x B. 6x 2x 2 7x 8 C. x 2x 2 2x 8 D. x 8x 2 8x The height of a cylinder is 4 times its diameter. Which expression represents the volume of the cylinder? A. 1 4 r B. r C. 4 r D. 8 r 41. What is the product (4x 1) (6 x)? A. 4x 2 25x 6 B. 4x 2 25x 6 C. 4x 2 25x 6 D. 4x 2 25x 6 Probability and Statistics 42. The histogram shows how many people of a certain age group attended a musical production. How many people under the age of 60 attended? Attendance People Age (yrs.) A. 0 B. 70 C. 90 D Ten students were randomly selected to rate the school assembly speaker on a scale of 1 to 10. Their ratings are shown below. Which averages best represent the data? A. mean and median B. mean and mode C. median and mode D. mean median and mode 44. Darnell rolls a number cube 90 times. Predict the number of times he rolls a 6. A. 6 B. 9 C. 12 D

8 45. The 8 members of your bowling team posted the following scores: Make a box-and-whisker plot of your team s scores. a. Find the range median quartiles and extremes. b. Draw the box-and-whisker plot Which would be the most appropriate display for the data in the table below? Profession Percent People Medical 8% Legal 9% Manufacturing 27% Education 1% Other 4% A. bar graph B. line graph C. circle graph D. histogram 47. You and two friends each think of a number from 1 5 in your head. What is the probability that you all think of the same number? a. List the favorable outcomes. b. Find the number of possible outcomes. c. Find the probability you all think of the same number. 48. Evaluate the permutations 8 P and 7 P You have 8 different colored flowers. How many different bouquets of 5 flowers can you make? A. 8 B. 56 C. 6 D A box contains 12 red blocks and 8 blue blocks. You choose one block. Then without replacing it you choose another. What is the probability you choose 2 blue blocks? A B C D a. 45b. See left a. 47b. 47c