Increasing Achievement for Schools, Teachers, & Students. United Learning Center. All rights reserved.

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1 Increasing Achievement for Schools, Teachers, & Students United Learning Center. All rights reserved. 1,000 Series

2 Mathematics Reference Sheet Area Triangle A = 1 2 bh Rectangle A = lw Trapezoid A = 1 2 h (b 1 + b 2 ) Parallelogram A = bh Key b = base h = height l = length w = width l = slant height S.A. = surface area d = diameter r = radius A = area C = circumference V = volume Circle A = πr² Use 3.14 or 22 7 for π. Circumference C = πd = 2πr Volume Total Surface Area Right Circular Cylinder V = πr²h S.A. = 2πrh + 2πr² Rectangular Solid V = lwh S.A. = 2(lw) + 2(hw) + 2(lh) Sphere V = 4 3 πr³ S.A. = 4 πr² In a polygon, the sum of the measures of the interior angles is equal to 180(n 2), with n representing the number of sides. 180(n - 2) In a regular polygon, the measure of an interior angle is equal to n. 1

3 Pythagorean theorem: c² = a² + b² y = mx + b Slope-intercept form of an equation of a line, where m = slope and b = the y-intercept. d = rt Distance, rate, time formula, where d = distance, r = rate, t = time. I = prt Simple interest formula, where p = principal, r = rate, t = time. a b c Conversions 1 yard = 3 feet = 36 inches 1 cup = 8 fluid ounces 1 mile = 1,760 yards = 5,280 feet 1 pint = 2 cups 1 acre = 43,560 square feet 1 quart = 2 pints 1 hour = 60 minutes 1 gallon = 4 quarts 1 minute = 60 seconds 1 liter = 1000 milliliters = 1000 cubic centimeters 1 pound = 16 ounces 1 meter = 100 centimeters = 1000 millimeters 1 ton = 2,000 pounds 1 kilometer = 1000 meters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Begin with Question #45 on Your Answer Sheet for the Math Portion of the Assessment. 45. What is the next number in the sequence? 8, 12, 18, 27,? A. 30 B C. 39 D. 45 2

4 46. Sam is buying dog food for his dog. The brands he has to pick from are reflected on the table below. Which statement is false? Brand Size Price Big & Mighty 15 lbs $32.85 Chow Time 20 lbs $31.80 Big Bark 10 lbs $18.90 A. Big Bark costs more per pound than Big & Mighty. B. Chow Time is the least expensive per pound. C. Big & Mighty costs more per pound than Chow Time. D. Big & Mighty is the most expensive per pound. A cooking magazine surveyed a group consisting of 5,000 of their subscribers to find out the most popular flavors of ice-cream. The table below shows the magazine s findings. Favorite Ice-cream Flavor % of Subscribers Chocolate 36% Vanilla 30% Strawberry 17% Butter Pecan 12% Tutti Frutti 5% Renee surveyed 75 customers who were buying ice-cream at the grocery store to find out their favorite flavors of ice-cream. The table below shows Renee s findings from the survey. Favorite Ice-cream Flavor # of Grocery Shoppers Chocolate 25 Vanilla 23 Strawberry 15 Butter Pecan 9 Orange Sherbet Based on the information provided in the tables above, which statement is true? A. In Renee s survey, 12% of the customers preferred butter pecan ice-cream, the same percentage preferring butter pecan for the magazine s survey. B. In Renee s survey, 36% of the customers preferred chocolate ice-cream. C. In Renee s survey, tutti frutti was the least favorite ice-cream flavor. D. Renee s survey is more reliable because her sample size is larger. 3

5 48. The company Linda works for gives monetary incentives when an employee has perfect attendance for 500 consecutive days. Linda has worked 446 consecutive days without being absent or late to work. What percent is equivalent to the number of days Linda has left before she earns her money for the company s perfect attendance goal? A. 89% B. 10.8% C. 54% D. none of the above 49. Elise worked 53 hours during one week over fall break. She earned $5.80 per hour for the first 40 hours and $8.70 per hour for overtime. How much did Elise earn during the week? A. $ B. $ C. $ D. $ Mercury, Venus, and Earth revolve around the sun once every 3, 7, and 12 months, respectively. If the three planets are now in the same straight line, what is the least number of months that must pass before the planets line up again? A. 252 months B. 84 months C. 21 months D. 12 months 51. A block layer has three lengths of blocks measuring 8 inches, 9 inches, and 14 inches. He plans to lay a wall of each type of block so that the three walls are the same length. Neglecting the mortar seams, what is the shortest length of wall possible? A. 31 inches B. 504 inches C. 1,008 inches D. 8 inches 4

6 52. Denita is making cookies for a bake sale. She is making two kinds of cookies. To make a batch of sugar cookies, she needs ten cups of sugar and eight cups of flour. To make a batch of chocolate melts, she needs four cups of sugar and six cups of flour. Denita has 120 cups of sugar and 120 cups of flour. She wants to make the maximum number of batches without having to buy more sugar or flour. How many batches of each cookie can she make? A. 10 batches of sugar cookies and 5 batches of chocolate melts B. 9 batches of sugar cookies and 7 batches of chocolate melts C. 8 batches of sugar cookies and 9 batches of chocolate melts D. 7 batches of sugar cookies and 11 batches of chocolate melts A family bought two pizzas for dinner, represented in the diagrams above. Several pieces of each pizza were not eaten. How much pizza was leftover? A B. 1 3 C D Find the least common multiple of 112 and 48. A. 336 B. 5,376 C. 48 D. 16 5

7 One method for stacking cannonballs is to form a pyramid. The first three such pyramids are shown below If the pattern above continues, how many cannonballs will be in the sixth pile? A. 140 cannonballs B. 91 cannonballs C. 55 cannonballs D. 50 cannonballs 56. Solve: 5x + 10 = -35 A. 5 B. 45 C. 5 D Evaluate 5x 3 + 2x 2 10 if x = -1. A. 13 B. 3 C. 7 D For Kalene s math homework, she calculated the distance across a bridge close to her house. The distance across the bridge was 700 meters. Which of the following is equivalent to this value? A B C. 70 D

8 59. Which set of numbers is ordered from least to greatest? A. 4 7, 5 8, 3 4, 4 5 B. 3 4, 4 5, 4 7, 5 8 C. 4 5, 3 4, 5 8, 4 7 D. 5 8, 4 7, 4 5, Solve and simplify A. 2 8 B. 1 4 C D Solve this absolute value = A. 12 B. 12 C. 9 D Which list is the correct order of operations to simplify the following expression? A. divide, subtract, multiply, add B. multiply, divide, add, subtract, C. subtract, multiply, add, divide D. subtract, multiply, divide, add 2 ( 6 4 ) = 7

9 63. Which is the inverse operation of 30 + n = 60? A = n B = n C. 60 n = 30 D n = Tire 24 - Rim 64. The rim of the bicycle wheel above has a diameter of 24 inches. When the tire is mounted on the wheel, the diameter of the wheel increases. To the nearest tenth of an inch, how much does the circumference of the bicycle wheel increase after the tire is mounted? A B. 9.4 C D The outer perimeter of a picture frame needs to be at least 102 centimeters. If the length of the frame is 4 centimeters longer than the width, what is the least possible integer value for the length of the frame? A. 21 cm B cm C. 23 cm D. none of the above 8

10 A cube measures 12 inches on each side. What is its surface area? A. 864 in² B. 576 in² C. 144 in² D. 1,728 in² 67. Cortilla s dog, Odie, broke his leash while they were walking in the park. Odie ran 10 yards away from Cortilla when the leash broke. If Odie is 10 yards from Cortilla, how many feet is Odie from Cortilla? A. 10 feet B..83 feet C. 120 feet D. 30 feet 68. Which pair of words shows a 180 clockwise rotation of the original? A. B. C. D. 9

11 ? 69. Which should come next in the geometric pattern above? A. B. C. D. 70. Which of the following is a translation of the original? A. B. C. D. 10

12 71. Which of these letters has both a vertical and horizontal line of symmetry? A. M B. T C. E D. X 72. What is the value of the x in the triangle shown above? A. 11 m B. 7 m C. 20 m D. 15 m 73. Solve this mathematical riddle. I am a quadrilateral, and all my sides are equal. I am a: A. circle B. rhombus C. rectangle D. triangle 74. If the area of the isosceles triangle below is 21 sq. cm, what is the measure of the base? A. 6 cm B. 3.5 cm C. 3 cm D. 7 cm 6 cm 11

13 Sienna wants to build a full-size storage unit for her deck. She drew a scale model of the storage unit that has a length of 8 inches and a width of 4 inches. Scale Model 4 in 8 in 75. If the width of the full-size storage unit will be 5 feet, what will be the length of the full-size storage unit in feet? (Use the scale model to help you determine your answer). A. 14 feet B. 8 feet C. 10 feet D. 16 feet The two spinners above are used for a game. Each arrow has an equal chance of landing on any one number on its spinner. If both arrows land on even numbers, one point is given. Which of these fractions expresses the probability of getting two even numbers? A B C D

14 77. Giggles, Gina s favorite candy, has six different colors of candy in each bag. Giggles is giving away $1,000 in a promotional contest. In order to qualify for the contest, Gina has to answer the following question correctly. How many four-candy color combinations can you make from one bag of Giggles candy, using all six colors? What number does Gina need to submit to the company in order to qualify for the prize money? A. 720 color combinations B. 360 color combinations C. 36 color combinations D. 24 color combinations 78. A six-sided die numbered one through six is rolled twice. What is the probability of rolling a number < 4? A. 1 2 B. 3 4 C. 5 8 D You are eating dinner at an Italian restaurant, and you decide to order the pasta bar so that you can create your own pasta dish. The pasta selections at the bar are spaghetti, fettuccini, and penne. The sauces offered are marinara, alfredo, and garlic butter. Extra toppings consist of parmesan cheese, meatballs, mushrooms, shrimp, chicken, green peppers, and olives. You decide that your dish will include one type of pasta, one type of sauce, and one topping. How many creation possibilities do you have based on the selections from the pasta bar? A. 13 B. 21 C. 63 D. none of the above 13

15 The physical education teacher measured the height of several 9 th grade students at the beginning of the school year so that he could document their growth rate over a ninemonth period. The table below reflects the boys height at the beginning of the school year. Student Height (in Inches) Jason Damian Christopher 67 Gorge 72 William 61 David 58 Randy 72 Rico 74 Heath 64 Sampson Look at the table above. Find the mean and median, respectively. A and 66.5 B. 64 and 72 C and 66.9 D. 72 and 64 14