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Barnacle Bill Originator
Ludus For Mathematics Mathematics Grade 9/10 – A Levels 10, 11, 12 Ver 2010JAN11 Oh, So Top Secret OSTS Barnacle Bill Originator Barnacle Bill Synthesizer Prepared for Learners in Adams County School District 50 to achieve proficient or advanced on all assessments related to Mathematics topics contained herein. Use Permissions Contact: Not for sale or publishing. Classroom use only.
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Mathematics Content Questions Topics 1-10 Finding Rules for Patterns
11-20 Scientific Notation 21-30 Using Number Sense 31-40 Finding the Percent of a Total 41-50 Percent Increases & Decrease 51-60 Multiplying & Dividing Fractions & Mixed Numbers 61-70 Rounding Numbers & Square Roots
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Directions: Click on the yellow numbered buttons to select a question
Directions: Click on the yellow numbered buttons to select a question. They are active. Mathematics Grade 9 OSTS 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
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Question 1 The cost of taking a cab from Tyler’s home to the airport is $7 for the first mile and $3 for each additional mile. Which of the following represents the cost c for a trip of 10 miles? c = 7(9) +3 c = (3) c = 7 + 9(3) c = 7(3) + 9 OSTS Answer
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Answer 1 c. c = 7 + 9(3) OSTS Category Return 4
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Question 2 According to the table of values, which equation represents the relationship of m to p? f. p + 5 = m – 5 g. m = p – 5 h. m + 5 = p j. m – 5 = p m 17 15 13 11 p 12 10 8 6 OSTS Answer
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Answer 2 d. m – 5 = p m 17 15 13 11 p 12 10 8 6 OSTS Category Return 4
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Question 3 Consider the table of values. Which equation represents the relationship of x to y? y = 5x + 1 y = 6x + 1 y = 6x – 1 y = 7x - 1 x 1 2 3 4 5 6 y 7 13 19 25 31 37 OSTS Answer
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Answer 3 b. y = 6x + 1 x 1 2 3 4 5 6 y 7 13 19 25 31 37 OSTS Category Return 4
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Question 4 Consider the table of values. Which equation represents the relationship of x to y? f. y = 3x + 5 g. y = 5x + 3 h. y = 3x – 5 j. y = 5x - 5 x 1 2 3 4 5 6 y 8 11 14 17 20 23 OSTS Answer
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Answer 4 f. y = 3x + 5 x 1 2 3 4 5 6 y 8 11 14 17 20 23 OSTS Category Return 4
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A number n times 8 less 27 equals t.
Question 5 What equation means the same as the following sentence? A number n times 8 less 27 equals t. 8n – 27 = t 27 – 8n = t n – 27 x 8 = t 8n = t - 27 OSTS Answer
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A number n times 8 less 27 equals t.
Answer 5 A number n times 8 less 27 equals t. 8n – 27 = t OSTS Category Return 4
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OSTS Answer Question 6 What rule applies to the following data?
f. y = 4x g. y = x – 4 h. y = 4x – 4 j. y = 3x - 4 x 1 2 3 4 y -4 -3 -2 -1 OSTS Answer
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Answer 6 g. y = x – 4 x 1 2 3 4 y -4 -3 -2 -1 OSTS Category Return 4
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OSTS Answer Question 7 What rule applies to the table? y = 6x – 1
4 2 -2 -4 y 10 -8 -14 OSTS Answer
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Answer 7 c. y = 3x – 2 x 4 2 -2 -4 y 10 -8 -14 OSTS Category Return 4
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Question 8 Consider the equation and the pattern in the table of values for the equation. What should be the next values for m and n? m + 7 = n f. m = 38, n = 32 g. m = 32, n = 38 h. m = 32, n = 39 j. m = 33, n = 39 m n 2 9 8 15 14 21 20 27 26 33 ? OSTS Answer
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OSTS Answer 8 h. m = 32, n = 39 m + 7 = n 4 m n 2 9 8 15 14 21 20 27
26 33 ? h. m = 32, n = 39 m + 7 = n OSTS Category Return 4
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Question 9 Consider the table of values. Which equation represents the relationship of v to w? w = v2 -1 w = v2 + 1 w = v2+ 2 w = v3 + 2 v 1 2 3 4 5 w 6 11 18 27 OSTS Answer
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Answer 9 c. w = v2+ 2 v 1 2 3 4 5 w 6 11 18 27 OSTS Category Return 4
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Question 10 The Heroes Taxi Service charges a flat rate of $40 to drive one person from downtown to the airport plus $7 for each additional passenger. Which of the following represents the cost T of taking n people to the airport? f. T = n g. T = (n + 1) h. T = (n – 1) j. T = n - 1 OSTS Answer
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Answer 10 f. T = n OSTS Category Return 4
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Question 11 How would the number 9,300,000 be expressed in scientific notation? 9.3 x 106 9.3 x 107 9.3 x 105 95 x 105 OSTS Answer
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Answer 11 a. 9.3 x 106 OSTS Category Return
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Question 12 How would be expressed in scientific notation? f x 105 g x 10-5 h x 10-4 j x 104 OSTS Answer
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Answer 12 g x 10-5 OSTS Category Return
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OSTS Answer Question 13 What is 6.735 x 10-3? 0.0006735 0.006735 6735
6,735,000 OSTS Answer
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Answer 13 b Category Return
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OSTS Answer Question 14 What is 800,000 x 5,000? f. 4 x 106 g. 4 x 107
h. 4 x 108 j. 4 x 109 OSTS Answer
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Answer 14 j. 4 x 109 OSTS Category Return
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Question 15 A microsecond is equal to 10-6 seconds. What is the decimal form for 3 microseconds? 3,000,000 OSTS Answer
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Answer 15 c OSTS Category Return
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Question 16 The planet Saturn is about 875,000,000 miles from the sun. Express the distance in scientific notation? f x 108 g x 107 h x 106 j x 10-8 OSTS Answer
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Answer 16 f x 108 OSTS Category Return
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Question 17 A nanometer is a unit of measure equivalent to inch. What is the distance expressed in scientific notation? 0.39 x 10-7 3.9 x 10-7 3.9 x 10-8 3.9 x 10-9 OSTS Answer
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Answer 17 c. 3.9 x 10-8 OSTS Category Return
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Question 18 Mr. L drives a distance of 26,000 m to school every day. Express this distance in scientific notation. 26.0 x 102 m 26.0 x 103 m 2.6 x 103 m 2.6 x 104 m OSTS Answer
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Answer 18 d. 2.6 x 104 m OSTS Category Return
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Question 19 A Type II diabetic patient may take g of Glyburide daily. Write the daily dose in scientific notation. 5 x 10-1 g 5 x 10-2 g 5 x 10-3 g 5 x 10-4 g OSTS Answer
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Answer 19 c. 5 x 10-3 g or 5 mg OSTS Category Return
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Question 20 Suppose a patient with hypertension takes g of hydrochlorothiazide daily. How many milligrams is this dose? 2.5 mg 25 mg 250 mg 2500 mg OSTS Answer
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OSTS Answer 20 b. 25 mg milli is 1/1000 .025 is 25/1000 Category
Return
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Question 21 Select the best estimate of the area of a circle with a radius of 4 units. 12 square units 24 square units 48 square units 96 square units OSTS Answer
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Answer 21 c. 48 square units OSTS Category Return
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Question 22 Select the best estimate of the circumference of a circle with a radius of 8 units. (C=dπ) f. 96 units g. 48 units h. 24 units j. 12 units OSTS Answer
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Answer 22 g. 48 units OSTS Category Return
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Question 23 Determine the perimeter of a right triangle with legs of length 33 and 44. 55 77 132 144 OSTS Answer
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Answer 23 a. 55 OSTS Category Return
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Question 24 The diagonal of a rectangle is 13 inches and the length is 12 inches. Determine the width of the rectangle. f. 1 inch g. 5 inches h. 6 inches j. 14 inches OSTS Answer
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Answer 24 g. 5 inches OSTS Category Return
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Question 25 Select the best estimate of the area of the circle. 150 square units 300 square units 450 square units 600 square units 14 OSTS Answer
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Answer 25 a. 150 square units OSTS Category Return
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OSTS Answer Question 26 The length of segment JK is _____.
9 L K 8 OSTS Answer
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Answer 26 h. √( ) OSTS Category Return
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Determine the length of b ?
Question 27 Determine the length of b ? 8 3 b OSTS Answer
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Answer 27 √(82 – 32) OSTS Category Return
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OSTS Answer Question 28 Solve for x. f. 4 in. g. 20 in. h. 28 in.
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Answer 28 g. 20 in. y = 1 OSTS Category Return
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OSTS Answer Question 29 Solve for x. 12 cm 24 cm 28 cm 36 cm 60 cm x
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Answer 29 d. 36 cm OSTS Category Return
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Question 30 Select the best answer for the area of the circle. f. about 15 square units g. about 30 square units h. about 75 square units j. about 150 square units OSTS Answer
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Answer 30 h. about 75 square units OSTS Category Return
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Question 31 What is 16% of 300? 12 24 48 72 OSTS Answer
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Answer 31 c. 48 OSTS Category Return
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Question 32 Gustavo invested $8000 that earns 7% per year. After one year, how much interest will Gustavo earn? f. $280 g. $560 h. $840 j. $1120 OSTS Answer
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Answer 32 g. $560 OSTS Category Return
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Question 33 94% = _____ 94 9.4 0.94 0.094 OSTS Answer
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Answer 33 c. 0.94 OSTS Category Return
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Question 34 8% = _____ f. 8 g. 0.8 h. 0.08 j OSTS Answer
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Answer 34 h. 0.08 OSTS Category Return
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Question 35 650% = _____ 65 6.5 0.65 .065 OSTS Answer
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OSTS Answer 35 Simplify each expression. x0y4 2x3y2z5 y2 10xy3z4
Category Return
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Question 36 Show that 2.35 x 10-5 < 1 and 2.35 x 103 > 1 by creating a table. OSTS Answer
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Answer 36 a. 65 OSTS Category Return
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OSTS Answer Question 37 Determine 25% of 700. f. 150 g. 175 h. 200
j. 225 OSTS Answer
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Answer 37 g. 175 OSTS Category Return
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Question 38 What is 250% of 200? 500 550 600 650 OSTS Answer
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Answer 38 a. 500 OSTS Category Return
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Question 39 Gisela’s soccer team last 30% of the 20 games it played. How many games did Gisela’s team lose? f. 4 g. 6 h. 12 j. 14 OSTS Answer
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Answer 39 j. 14 OSTS Category Return
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Question 40 Channel’s softball team won 60% of the 30 games it played last season. How many games did the team lose? (There were no ties.) 15 18 21 24 OSTS Answer
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Answer 40 b. 18 OSTS Category Return
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Question 41 The ticket price for a Deadhead performance was $30. After the play officially opened, the price increased 20%. What is the ticket price now? $32 $34 $36 $38 OSTS Answer
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Answer 41 c. $36 OSTS Category Return
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Question 42 The price of a $50 Mozart concert ticket was decreased by 30%. What is the price of the new ticket? f. $45 g. $40 h. $35 j. $30 OSTS Answer
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Answer 42 h. $35 OSTS Category Return
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Question 43 The regular price of a wool sweater is $40. It is on sale for 15% off the regular price. Determine the new price. $36 $34 $32 $30 OSTS Answer
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Answer 43 b. $34 OSTS Category Return
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Question 44 Last year Stephanie earned 12% more than her previous year’s salary of $45,000. How much did he earn last year? f. $5400 g. $39,600 h. $50,400 j. $57,000 OSTS Answer
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Answer 44 h. $ 50,400 OSTS Category Return
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Question 45 Alicia’s income will decrease 5% this year. If she made $62,000 last year, how much will she make this year? $31,500 $57,000 $58,900 $65,100 OSTS Answer
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Answer 45 c. $58,900 OSTS Category Return
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Question 46 Anthony bought a new computer that was on sale for $1200. The sales tax in her state is 7%. How much did she pay for the computer, including tax. f. $1284 g. $1290 h. $1340 j. $1900 OSTS Answer
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Answer 46 a. $1284 OSTS Category Return
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Question 47 Kaylana, a clothing store owner, received a shipment of jeans that cost $30 a pair. Kaylana decided to mark up the price by 40% before putting them on the racks for sale. How much will she charge for a pair of the jeans? f. $34 g. $38 h. $42 j. $52 OSTS Answer
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Answer 47 h. $42 OSTS Category Return
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Question 48 There are 450 learners in Gabe’s school this year. The school principal predicts that there will be a 10% increase in the number of students next year. If the prediction is correct, how many learners will be in Gabe’s school next year? 465 475 c. 485 d. 495 OSTS Answer
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Answer 48 d. 495 OSTS Category Return
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Question 49 Matilda just sold a piece of property for $80,000. She has to pay a real estate agent 4% of the selling price. How much money will Gina have from the sale of the property after she has paid the real estate agent? f. $74,800 g. $76,800 h. $78,800 j. $83,200 OSTS Answer
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Answer 49 b. $76,800 OSTS Category Return
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Question 50 Cecy grew 68 bushels of tomatoes last year. He hopes to grow 50% more tomatoes this year. Determine the number of tomatoes he hopes to grow this year? f. 82 g. 92 h. 102 j. 112 OSTS Answer
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Answer 50 h. 102 OSTS Category Return
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Question 51 1 ¼ x 24 = _____ OSTS Answer
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OSTS Answer 51 1 ¼ x 24 = _____ 5/4 x 24 = (5 x 24)/4 = 120/4 = 30
Category Return
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OSTS Answer Question 52 Sylvia divided a pizza into eights.
How many eights are there in ¾ of the pizza? OSTS Answer
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Answer 52 6 ¾ = 6/8 OSTS Category Return
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Question 53 Find 1/6 of 1/5. 1/12 1/30 1/3 OSTS Answer
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Answer 53 c. 1/30 OSTS Category Return
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Question 54 5/3 ÷ 8/5 = _____ 1/3 25/24 24/25 3/8 OSTS Answer
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OSTS Answer 54 5/3 ÷ 8/5 = _____ (5 x 5) = (3 x 8) 25/24 b. 25/24
Category Return
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Question 55 3 1/3 x 1/6 = _____ 5/3 5/6 5/9 5/18 OSTS Answer
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OSTS Answer 55 3 1/3 x 1/6 = _____ 10/3 x 1/6 = (10 x 1) = 10 = 5
c. 5/9 OSTS Category Return
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Question 56 2/9 ÷ 6 = _____ f. 1/3 g. 1/6 h. 1/9 j. 1/27 OSTS Answer
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OSTS Answer 56 2/9 ÷ 6 = _____ 2 x 1 = 2 = 1 9 x 6 54 27 j. 1/27
Category Return
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Question 57 Yolanda has a plank of wood that is 6 feet long. How many pieces of wood, each 2/3 of a foot long, can she cut from the plank? OSTS Answer
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OSTS Answer 57 6 ÷ 2/3 = _____ 6 x 3 = 18 = 9 pieces 2 2 Category
2 2 OSTS Category Return
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Question 58 A recipe for a batch of cookies calls for 1 1/3 cups of flour. Justin wants to make 2 ½ batches of the cookies. How much flour will he need? 3 1/3 cups 3 1/6 cups 9 1/3 cups 2 1/6 cups OSTS Answer
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OSTS Answer 58 1 1/3 x 2 ½ = _____ 4 x 5 = 20 = 10 = 3 1/3 3 x 2 6 3
a. 3 1/3 cups OSTS Category Return
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Question 59 Beau wants to share 2 ¼ quarts of juice equally with 2 of his friends. How much juice will each of the 3 people get? f. ¼ qt g. 3/8 qt h. ¾ qt j. 4/9 qt OSTS Answer
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OSTS Answer 59 2 ¼ ÷ 3 = _____ 9 x 1 = 9 = 3 /4 4 x 3 12 h. ¾ qt
Category Return
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Question 60 1/8 ÷ 1 ¼ = ____ 1/10 1/12 1/20 1/32 OSTS Answer
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OSTS Answer 60 1/8 ÷ 1 ¼ = ____ 1 x 4 = 4 = 1 8 x 5 40 = 10 1/10
Category Return
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OSTS Answer Question 61 Round 4786 to the nearest 1000. 4800 4790 5000
6000 OSTS Answer
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OSTS Answer 61 Round 4786 to the nearest 1000. c. 5000
4 is the digit in the thousands place. 7 is greater than 4, so add 1 to 4. OSTS Category Return
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OSTS Answer Question 62 Identify the integer that is closest to √52.
j. 9 OSTS Answer
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OSTS Answer 62 Identify the integer that is closest to √52. g. 7
√49 = 7 and √64 = 8 (perfect squares); 52 is closer to 49 and the √52 is between 7 and 8. 7 is the closest integer. OSTS Category Return
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OSTS Answer Question 63 85 rounded to the nearest 10 is _____. 10 80
90 OSTS Answer
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Answer 63 d. 90 OSTS Category Return
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OSTS Answer Question 64 4826 rounded to the nearest thousand is _____.
f. 4000 g. 4500 h. 5000 j. 5500 OSTS Answer
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Answer 64 f. 5000 OSTS Category Return
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Question 65 Identify the number that does not round to 70 when rounding to the nearest 10. 74 73 65 75 OSTS Answer
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Answer 65 d. 75 OSTS Category Return
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Question 66 278.4 rounded to the nearest whole number is _____. f. 278 g. 279 h. 280 j. 300 OSTS Answer
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Answer 66 g. 279 OSTS Category Return
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OSTS Answer Question 67 37.57 rounded to the nearest 10 is _____. 34.6
30 35 40 OSTS Answer
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Answer 67 d. 40 OSTS Category Return
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Question 68 Select the number that does not round to 18 when rounding to the nearest whole number. f. 17.9 g. 18.2 h. 18.4 j. 18.6 OSTS Answer
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Answer 68 d. 18.6 OSTS Category Return
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Question 69 Identify the two whole numbers which “bracket” √85. 7 and 8 8 and 9 9 and 10 10 and 11 OSTS Answer
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Answer 69 c. 9 and 10 OSTS Category Return
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OSTS Answer Question 70 Identify the integer closest to √99. f. 9
j. 12 OSTS Answer
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Answer 70 g. 10 OSTS Category Return
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Used for Educational Purposes Only.
Credits Triumph Learning and Colorado Educators (2002) CSAP Coach, Mathematics, Grade 19 New York, NY: Triumph Learning, Inc. Questions and Answers were either taken directly from these sources or modified for inclusion into this learning activity and added to the synthesizers own questions. Used for Educational Purposes Only. OSTS
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