TAKS Short CourseObjective 6

8th Grade

8.14(A) The student is expected to identify and apply

mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics;

1. Mr. Thomas is framing a 28-by-40-foot area for a concrete slab. If the concrete company charges $120.00 per cubic yard of concrete, what other information is needed in order to find c, the cost of the concrete slab?

A) The area of the slab

B) The thickness of the slab

C) The perimeter of the slab

D) The price per cubic foot of concrete

B) The thickness of the slab

28-by-40-foot area for a concrete slab. If the concrete company charges $120.00 per cubic yard of concrete

2. The Venn diagram shows how many of the 400 students at Smith Middle School have a scooter only, a skateboard only, or both a scooter and a skateboard.

20

1

7

1

4

34

1

Use the information in the diagram to find the probability that 1 student chosen at random has neither a scooter nor a skateboard.

A) B)

C) D)

A)

4

1

.400

100

schoolin

neither

4

1

3. A camp leader plans to buy 3 hot dogs per person for a cookout. If 30 people are going on the cookout and if hot dogs cost $3.99 per package, what other information is needed to find the cost of the hot dogs?

A) The number of meals at which hot dogs will be served

B) The cost of mustard and relish

C) The number of people who eat hot dogs

D) The number of hot dogs in a package.

D) The number of hot dogs in a package.

4. The Sundown Parking Garage charges $5.00 to park a car for the first hour and $0.75 for each additional hour or part of an hour after the first hour. What is the total charge for parking a car for 4 hours 42 minutes in this garage?

A) $5.75 B) $6.50

C) $7.25 D) $8.00

$5.00 to park a car for the first hour and $0.75 for each additional hour or part of an hour after the first hour. What is the total charge for parking a car for 4 hours 42 minutes

00.8$00.3$5$

)4(75.0$5$

)(75.0$5$

x

D) $8.00

5. Mr. and Mrs. Lee brought their 2 children, Cooper and Erin, to a museum. Only Mr. Lee received a discount on his ticket. The table below shows the admission prices at the museum.

Which person’s admission price can be found without any other information?

A) Mrs. Lee B) Mr. Lee

C) Cooper D) Erin

A) Mrs. Lee

Only Mr. Lee received a discount on his ticket

8.14(B) The student is expected to use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness;

6. Roderick is building a model of an actual airplane with a length of 20 feet.

What other information is necessary in order to find x, the length of the model airplane?A) The ratio of the length of the model

airplane’s tail to the length of its wingB) The speed of the model airplaneC) The scale factor usedD) The model airplane’s wingspan

C) The scale factor used

actual airplane with a length of 20 feet

7. The Stars, the Tigers, and the Lobos scored a total of 56 goals during the hockey season. The Stars scored 4 more goals than the Tigers, and the Lobos scored twice as many goals as the Tigers. Which is a reasonable conclusion about the goals the teams scored?

A) The Stars scored the least number of goals.B) The Stars and the Lobos scored an equal number of goals.C) The Tigers scored exactly half the total goals.D) The Lobos scored the greatest number of

goals.

D) The Lobos scored the greatest number of goals.

Lobos scored twice as many goals as the Tigers

The Stars scored 4 more goals than the Tigers

8. On Monday Mandy bought a CD for 40% off the regular price of $16.00, not including tax. The next day the CD that Mandy had bought was marked down to 65% off its regular price. How much more money would Mandy have saved, not including tax, if she had waited until Tuesday to buy the CD?

A) $4.00 B) $6.40

C) $9.60 D) $10.40

A) $4.00

40% off the regular price of $16.00 = $9.60

0.40 x 16= 9.6

65% off the regular price of $16.00 = $5.60

0.65 x 16 = 5.6

$4.00

9. After careful consideration of the menu shown below, Mireya purchased Charlie’s Value Meal No. 2.

Mireya calculated her savings by finding the sum of $2.49 plus 2 times $1.29. What did Mireya do next to calculate her savings?

A) Add $1.29 to the sum B) Divide the sum by 3C) Subtract $4.29 from the sum D) Subtract $4.69 from the sum

D) Subtract $4.69 from the sum

38.0$69.4$07.5$

07.5$)29.1($249.2$

10. There are 4 children in the Carter family. Roger is 1 times as tall as Charlie. John is 3 inches taller than Roger. Grace is 58 inches tall, and she is 2 inches taller than Charlie. How tall is John in feet and inches?

A) 5 ft 3 in. B) 5 ft 10 in.

C) 6 ft in. D) 6 ft 1 in.

Roger is 1 times as tall as Charlie. John is 3 inches taller than Roger. Grace is 58 inches tall, and she is 2 inches taller than Charlie

inchsfeet

RogerJohn

Roger

Charlie

Grace

161273

73)(703

)(7025.156

56)258(

58

D) 6 ft 1 in.

1

4

11. Antonio and his two brothers equally shared the cost of a new CD with a list price of $18. They received a 20% discount off the list price and paid 8.25% sales tax on the discounted price. Find the approximate amount that each of the 3 brothers paid toward the cost of the CD.

A) $4.80

B) $5.20

C) $6.50

D) $15.59

20.5$359.15

59.1519.140.14

19.1)(0825.040.14

40.146.318

6.3)(20.18

brothers

tax

discount

12. Rectangle I is similar to rectangle II.

The area of rectangle II is 216 square centimeters. Find the area of rectangle I.

22446

418

18

18

72

187218

12

6

1218

216

cm

x

x

x

x

13. Mrs. Díaz told her math class that a particular rectangle has a perimeter of 36 units and an area of 65 square units. Which of the following could be the dimensions of the rectangle?

A) 2.5 units by 26 units

B) 4 units by 9 units

C) 5 units by 13 units

D) 6.5 units by 11.5 units

A) 2.5 units by 26 units A= 65 P= 57

B) 4 units by 9 units A= 36

C) 5 units by 13 units A= 65 P= 36

D) 6.5 units by 11.5 units A= 74.75

C) 5 units by 13 units A= 65 P= 36

8.14(C) The student is expected to select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem.

14. On Monday Cornelius’s mother gave him school money for the week. He spent $2.80 for lunch every day for 5 school days. He paid a $0.75 book fine at the library and bought school supplies for $3.50. If Cornelius had $1.75 left at the end of the school week, which expression can he use to find the amount of money he received on Monday?

A) 1.75 + 5(2.80) + 3.50 + 0.75

B) 5(2.80) + 3.50 + 0.75 − 1.75

C) 1.75 + 2.80 + 0.75 + 3.50

D) 5(2.80 + 3.50 + 0.75 + 1.75)

A) 1.75 + 5(2.80) + 3.50 + 0.75

$1.75 (Left over change) + 5days (2.80 lunch) + 3.50 (school supplies) + 0.75 (book fine)

15. The figure shows a rectangle inside a circle.

Which procedure should be used to find the area of the shaded region?A) Find the area of the circle and then subtract the area of the rectangle.B) Find the circumference of the circle and then subtract the perimeter of the rectangle.C) Find the circumference of the circle and then subtract the area of the rectangle.D) Find the area of the rectangle and then subtract the perimeter of the rectangle

A) Find the area of the circle and then subtract the area of the rectangle.

16. Nikki paid Dalton $15.50 for a combination of 15 baseball and football cards. The baseball cards were $1.50 each, and the football cards were $0.50 each. How much did Nikki spend on the baseball cards?

A) $3.50 B) $12.00

C) $4.00 D) $10.50

B) $12.00

$15.50 for a combination of 15 baseball and football cards. The baseball cards were $1.50 each, and the football cards were $0.50

50.155.312

)7(50.0)8(50.1

)(50.)(50.150.15

fb

8.15(A) The student is expected to communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical

17. Zeb used the rule listed below to rewrite the expression 10 2 × 10 5.

10 m × 10 n = 10 m + n

Based on this rule, which of these is

equivalent to the expression 8 – 4 × 8 6?

A) 8– 10, because 8– 4 × 86 = 8– 4 – 6

B) 810, because 8 – 4 × 8 6 = 84 + 6

C) 8– 2, because 8– 4 × 86 = 84 – 6

D) 82, because 8– 4 × 86 = 8 – 4 + 6

D) 82, because 8– 4 × 86 = 8 – 4 + 6

10 m × 10 n = 10 m + n

8 – 4 × 8 6 = 8 (-4 + 6)=

8 2

18. ∆LMN is similar to ∆XYZ.

Which procedure can be used to find the number of degrees in N?

A) Subtract 100 from 360B) Subtract 100 from 180C) Divide 100 by 2D) Divide 180 by 3

B) Subtract 100 from 180

19. The figure below shows three shaded equilateral triangles inside a rectangle

Which statement about this figure is true?

A) The shaded area is more than 50% of the area of the rectangle.B) The shaded area is of the unshaded area of the rectangle.C) The unshaded area is of the shaded area of the rectangle.D) The shaded area is equal to the unshaded area of the rectangle.

3

42

3

D) The shaded area is equal to the unshaded area of the rectangle.

20. Before the last game of the basketball season, Fernando had scored a total of 73 points. He scored 20 points in the last game, making his season average 15.5 points per game. To find the total number of games he played, first find the sum of 73 and 20 and then…

A) add the sum to 15.5

B) subtract 15.5 from 73

C) multiply the sum by 15.5

D) divide the sum by 15.5

D) divide the sum by 15.5

73 points. He scored 20 points in the last game

average 15.5 points per game

sum of 73 and 20=93

Divide 93 by 15.5 = average for the season

8.16(A) The student is expected to make conjectures from patterns or sets of examples and nonexamples;

21. This Venn diagram is used to classify counting numbers according to a set of rules.

Which one of the following numbers belongs

in the region of the diagram marked by the

question mark?

A) 45 B) 50

C) 60 D) 65

C) 60

60543

Multiply of 5

Multiply of 3

Multiply of 4

22. A pattern of equations is shown below.

Which statement best describes this pattern of equations?A) When the percent is doubled and the other number is halved, the answer is 8.B) When the percent is doubled and the other number is doubled, the answer is 8.C) When the percent is increased by 2 and the other number remains the same, the answer is 8.D) When the percent remains the same and the other number is increased by 2, the answer is 8.

1% of 800 = 82% of 400 = 8

4% of 200 = 88% of 100 = 816% of 50 = 8

A) When the percent is doubled and the other number is halved, the answer is 8.

1% of 800 = 82% of 400 = 84% of 200 = 88% of 100 = 816% of 50 = 832% of 25 = 8

23. The table shows n, the number of sides of apolygon, and S, the sum of the measures of the interior

angles of that polygon

Based on the table, which statement is true?A) The sum of the interior angle measures decreases by for each side increase

of 1.B) The sum of the interior angle measures increases by 180° for each side increase

of 1.C) The sum of the interior angle measures doubles for each side increase of 1.D) The sum of the interior angle measures is a whole-number multiple of 360°.

01800360054007200900

Polygon

Number ofSides, n

Sum of Interior Angle

Measures, S

3

4

5

6

71

2

B) The sum of the interior angle measures increases by 180° for each side increase of 1.

01800360054007200900

Number ofSides, n

Sum of Interior Angle

Measures, S

3

4

5

6

7

720180900

540180720

360180540

180180360

24. The figures below have a repeating pattern.

Which shows a 180° rotation of the 19th

figure in the pattern?

C)

A) B)

D)

C)

8.16(B) The student is expected to validate his/her conclusions using mathematical properties and relationships.

25. Mrs. Avery bought a 5-pound bag of white potatoes for $4.25. If red potatoes sold for $0.89 per pound, why did Mrs. Avery believe that she made the better buy?

A) The number of red potatoes in a 5-pound bag is greater than the number of white potatoes in a 5-pound bag.

B) The cost for all kinds of potatoes in 5-pound bags is the same.

C) The cost per pound of white potatoes is $0.04 less than the cost per pound of red potatoes.

D) The cost per pound of white potatoes is $0.04 more than the cost per pound of red potatoes.

1

2

C) The cost per pound of white potatoes is $0.04 less than the cost per pound of red potatoes.

85.0525.4 red potatoes sold for $0.89

26. Raymond packs boxes for an appliance company. He can pack a large box in 10 minutes and a small box in 4 minutes. He needs to pack 10 large boxes and 20 small boxes. If 2.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping?

A) Yes, Raymond will finish the work in 1.8 hours.

B) No, it will take him 4 hours to finish.

C) Yes, Raymond will finish the work in 0.5 hour.

D) No, it will take him 3 hours to finish.

D) No, it will take him 3 hours to finish.

hours

utes

360

180

min180

80100

2041010

27. Valdemar has a spinner like the one shown below

Valdemar would like to increase the chances of the following events:• Spinning an even number• Spinning a number less than 4• Spinning the square root of 9

Valdemar decides to remove the 5 from the spinner. Which statement best supports his reasoning?

A) The number 5 takes up more space on the spinner. B) Spinning the number 5 has the greatest probability.

C) The number 5 is the greatest number. D) Spinning the number 5 is not a desired event.

D) Spinning the number 5 is not a desired event.

Spinning an even number (2,4)

Spinning a number less than 4 (1,2,3)

Spinning the square root of 9 39

28. The following statements are true about ∆XYZ.• The measure of each angle is evenly divisible by 12.• The measure of Z is greater than the measure of Y.• The measure of Y is greater than the measure of X.• The measure of X is greater than 40°.

Which choice fits all 4 statements for angles X, Y, and Z?

A) m X = 72°m Y = 60°m Z = 48°

B) m X = 60°m Y = 72°m Z = 48°

C) m X = 50°m Y = 60°m Z = 70°

D) m X = 48°m Y = 60°m Z = 72°

D) m X = 48°m Y = 60°m Z = 72°

A) m X = 72°m Y = 60°m Z = 48° not greater than y

B) m X = 60°m Y = 72°m Z = 48° not greater than y

C) m X = 50° not divisible by 12m Y = 60°m Z = 70°

D) m X = 48°m Y = 60°m Z = 72°

29. A set of parentheses is missing from the expression below.

Which of the following expressions has theparentheses in the correct place for the expression to equal 52?A) 15 − (5 + 7 · 2) + 4B) (15 − 5 + 7) · 2 + 4C) 15 − (5 + 7 · 2 + 4)D) 15 − 5 + 7 · (2 + 4)

15 − 5 + 7 · 2 + 4

D) 15 − 5 + 7 · (2 + 4)

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42515

)6(7515