Objective 2

TAKS Short Course

6.3(A) The student is expected to use ratios to describe proportional situations;

1. There were 14 boats and 42 people registered for a boat race. Which ratio accurately compares the number of people to the number of boats?

A 2:6 B 3:1

C 7:21 D 14:42

B 3:1

1:31

3

14

14

14

4214

42

boat

people

2. If the ratio of boys to girls in the sixth-grade chorus is 2 to 3, which of these shows possible numbers of the boys and girls in the chorus?

A. 20 boys, 35 girlsB. 24 boys, 36 girlsC. 35 boys, 20 girlsD. 36 boys, 24 girls

2

3

12

12

24

36)..

4

7

5

5

20

35)..

3

2

12

12

36

24)..

7

4

5

5

35

20)..

D

C

B

A

B. 24 boys, 36 girls

3. An animal shelter currently has 20 cats and 25 dogs. What is the ratio of cats to dogs?

dogs

cats

5

4

5

5

25

20

4. A recipe for pancakes requires 3 eggs and makes 12 pancakes. What is the ratio of eggs to pancakes?

A 12:3 B 1:4

C 3:1 D 1:3

pancakes

egg

4

1

3

3

12

3

B 1:4

6.3(B) The student is expected to represent ratios and percents with models, fractions, and decimals;

5. By 2:30 P.M. on Monday, 25% of the classes at Valley Middle School had finished taking yearbook pictures. What fractional part of the classes had NOT yet taken yearbook pictures?

4

3%75

4

1%25

Had taken their picture

Had not taken their picture

6. Each square below is divided into sections of equal size. Which square has 62.5% of its total area shaded?

J

%754

3

2

2

8

6

%5.628

5

%5.378

3

%502

1

4

4

8

4

7. Franklin’s Vending Service received a shipment of soda for its machines. The manager determined that 15% of the cans were damaged. What fraction of the cans were damaged?

20

3

5

5

100

15100

15%15

8. Paul made 11 of the 20 shots he took at hockey practice yesterday. What percent of his shots did he make?

A. 20% B. 11%

C. 45% D. 55%

%55100

55

5

5

20

11

%55

55.0201120

11

or

D. 55%

9. Use the ruler on the Mathematics Chart to measure the lengths of the line segments below to the nearest centimeter.

Which best represents the ratio of UV to XY?A. 7:17 B. 3:7 C. 3:8 D. 1:2

A. 7:17

6.3(C) The student is expected to use ratios to make predictions in proportional situations.

10. The ratio of red rosebushes to yellow rosebushes in the school garden is about 3 to 4. If there were 36 yellow rosebushes, about how many red rosebushes would there be?

Red roses2736

27

9

9

4

3

11. Corinne’s group was responsible for painting windows on the set of a school play. The group painted 18 windows in 90 minutes. If they continued painting at this rate, how many windows would they paint in 3 hours?

hrs

windows

hrs

x

hrs

orhrs

windows

hrs

windows

hr

3

36

2

2

5.1

18

35.1

18

3

36

3

3

1

12

1

min60

min90

18

12. Josie’s horse eats about 2 bales of hay every 5 days. About how many bales of hay does Josie’s horse eat in 31 days?

60

24

12

12

5

2about

x

x

About 24 bales of hay

13. Manuel’s heart beats 9 times per 10 seconds while Manuel is resting. About how many times would Manuel’s heart beat during 3 minutes of rest?

A. 27 B. 162 C. 270 D. 200

min3

162

3

3

min1

54min1

54

10

10

min10

540

min1

sec60

sec10

9

beatsbeat

beatbeatsbeats

B. 162

14. Palmer participated in sports for 8 hours and drama for 5 hours during a period of 2 weeks. If Palmer continues participating in these activities at this rate, how many hours will he spend participating in them during 52 weeks?

A. 13 hours B. 338 hours

C. 8 hours D. 208 hours

weeks

hrs

x

52

338

262

2613522

13

B. 338 hours

6.4(A) The student is expected to use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area/

15. The table shows Andre’s age and Maria’s age over 4 consecutive years.

Which expression best represents Maria’s age in terms of Andre’s age?

A. x + 4 B. 2xC. y + 4 D. 2y

Add 4 years to Andre’s age to Maria’s age.

A. x + 4

16.At Sandra’s school there is 1 teacher for every 15 students. There are 630 students at the school. Write a proportion that can be used to find x, the number of teachers?

students

x

students

teacher

63015

1

17. Rafael pays $550 in rent each month. Which table best represents the relationship between m, the number of months, and r, the amount he pays in rent for that length of time?

18. Which equation best represents the relationship between x and y in the table below?

A. y = 7x B. y = 3x + 4C. y = 2x + 5 D. y = x + 6

C. y = 2x + 5

455)20(2

155)5(2

115)3(2

75)1(2

6.4(B) The student is expected to use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.

19. A certain regular polygon is made of congruent equilateral triangles. The table shows the relationship between the area of the triangle and the area of the polygon it is part of.

Which expression can be used to find the area of a similar polygon made of triangles with an area of n square units each?A) 1n B) 6n C) n + 6 D) n + 36

B) 6n

nn 6)6(

36)6(6

30)5(6

24)4(6

18)3(6

20. The table below shows the areas of a triangle where the height of the triangle stays the same but the base changes.

2

n

6

2

n

6

2

Which expression can be used to find the area of a triangle that has aheight of 6 units and a base of n units?

A. B.

C. D. 6n

C.

6

2

n

2

)(6

242

)8(6

182

)6(6

122

)4(6

62

)2(6

n

6

2

n

21. What is the rule to find the value of a term in the sequence below?

A. n + 3 B. 3n − 2

C. 3n D. n − 2

3

3

3

3

2)(3

132)5(3

102)4(3

72)3(3

42)2(3

12)1(3

n

B. 3n − 2

22. Alex found the perimeter of a square to be 12 inches. Which of the following could be used to find l, the length of one edge of the square?

A. l = 4 · 12 B. l = 12 ÷ 4

C. l = 4 + 12 D. l = 12 − 4

Perimeter = 12 inches

Side + side + side + side = perimeter

12 divided by 4 = one side

B. l = 12 ÷ 4

6.5(A) The student is expected to formulate an equation from problem situations described by linear relationships.

23. David bought 2 shirts that were originally priced at $26.50 each. Each shirt was on sale for $3.98 off the original price when David bought them. Which equation can be used to find t, the total sale price of the 2 shirts?

A. t = 26.50 − 3.98B. t = 2(26.50) − 3.98C. t = 2(3.98) − 2(26.50)D. t = 2(26.50) − 2(3.98)

D. t = 2(26.50) − 2(3.98)

24. Mr. Chávez distributed 78 sheets of drawing paper to the art students in his class. Each student received 3 sheets of drawing paper. Write an equation which can be used to find s, the number of students in the class?

students

s

26

378

25. If the cost of renting a canoe is a basic fee of $5 plus an additional $2.50 for each hour that the canoe is rented, which equation can be used to find c, the cost in dollars of the rental for h hours?

A. c = 2.5h + 5 B. c = 5h + 2.5

C. c = 2.5(h + 5) D. c = 5(h + 2.5)

$5 + $2.50 (h) = cost of canoe

h = hours rented

A. c = 2.5h + 5

26. Mr. Duran handed out 32 sheets of graph paper equally among 8 groups of students. Which equation can be used to find s, the number of sheets of paper each group received?

A. s = 32 ÷ 8 B. s = 32 − 8

C. s = 32 · 8 D. s = 32 + 8

A. s = 32 ÷ 8

group

sheets

groups

sheets

1

4

8

8

8

32

27. Zack attended a basketball camp for two weeks. His parents paid $50.00, which was the cost of attending the camp. Zack had saved money to pay the rest of the cost. Which equation can be used to find c, the entire cost of attending the camp?

A B

C. D

3

250C

1

3

350

1

C

350C

3

50C

B)

350

.505050

50503

2

503

1

c

orcamp

350C