Free Printable Coaching Session #12

1.

When each side of a square was increased in length by 50% , its area increased by 180 square inches. How many square inches are in the original square?

a)

12

b)

144

c)

90

d)

36

2.

Carmina has a total of $3.60 in nickels and dimes. If her dimes were nickels and her nickels were dimes, then she would have $5.40. How many nickels and dimes does Carmina have in total?

a)

120

b)

30

c)

36

d)

60

3.

Evaluate: $\frac{2^5-2^3}{2^2}$

a)

6

b)

1

c)

12

d)

2

4.

Triangle ABC has vertices at A(1, 0), B(21, 0), and C (21, 21) . What is the perimeter of the triangle?

a)

62

b)

70

c)

61

d)

63

5.

When expanded, the number of zeros in $\left(1000\right)\ ^{10}$ is?

a)

27

b)

28

c)

29

d)

30

6.

How many diagonals are in a regular octagon?

a)

20

b)

40

c)

10

d)

15

7.

What is the x-intercept of the graph of $3x-4y=-12$ ?

a)

-3

b)

3

c)

-4

d)

4

8.

What is the mean of 20 and -4?

a)

8

b)

-12

c)

12

d)

-8

9.

What is the number of integers between 100 and 200 with at least one 7 (as a digit)?

a)

16

b)

17

c)

18

d)

19

10.

What is the number of ways to rearrange the letters in the word "LETTER"?

a)

90

b)

180

c)

360

d)

720

11.

5.NF.2

Carly bought 1 dozen eggs. She used 1/2 dozen eggs when cooking breakfast and 1/3 dozen eggs to make a cake. What fraction of the dozen eggs does Carly have left?

a)

1/6

b)

4/12

c)

2/5

d)

5/6

12.

5.NF.3

Mrs. Hall is making bag lunches for the 15 children in her science club. She has 6 bags of chips to divide equally among the lunches. Which shows the fractional part of a bag of chips that should go in each lunch?

a)

1/15

b)

2/5

c)

1/6

d)

15/6

13.

5.NF.4

This rectangle is divided into squares that are 1/6 meter long and 1/6 meter wide.

What is the total area of the rectangle is square meters?

a)

2/5 m²

b)

5/12 m²

c)

15/16 m²

d)

3 m²

14.

5.NF.5

How does the product of 75 x 15 compare to the product of 75 x 45?

a)

The product of 75 x 45 is twice the product of 75 x 15.

b)

The product of 75 x 15 is half the product of 75 x 45.

c)

The product of 75 x 15 is 1/4 the product of 75 x 45.

d)

The product of 75 x 45 is 3 times the product of 75 x 15.

15.

5.NF.6

Mrs. Myers prepared 4 1/2 quarts of soup. She took 2/5 of the soup to her neighbor. How many quarts of soup did Mrs. Myers take to her neighbor?

a)

2/5 qt

b)

1 4/7 qt

c)

1 4/5

d)

4 1/5

16.

5.NF.7

Marie has two spools of ribbon. One spool holds 3 yards of ribbon, and the other spool holds 2 yards of ribbon. She uses all the ribbon to cut bookmarks that are each 1/4 yard long. How many bookmarks does Marie make?

a)

5

b)

10

c)

15

d)

20

17.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

18.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

19.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

A new pair of shoes is on sale for $45. If this cost represents a 40% discount, what was the original cost of the shoes?

a)

$70

b)

$75

c)

$65

d)

$60

23.

The sum of two numbers is 7 and their product is 12. What is twice the sum of their reciprocals? Express your answer as a common fraction.

a)

$1\frac{1}{6}$

b)

$\frac{1}{6}$

c)

$\frac{7}{12}$

24.

What is the largest prime factor of $8\times7\times6\times5\times4\times3-6\times5\times4\times3\times2\times1?$

a)

19440

b)

13

c)

25

d)

5

25.

The price of a pizza is directly proportional to its area. If a 12-inch pizza costs $12.00, how much does a 14-inch pizza cost? Express your answer to the nearest dollar.

a)

16

b)

19

c)

17

d)

21

26.

A town has some strange streets that are one-way only between the hours of 7:00 am and 8:00 am. They run either south or east during that hour. If Joe wishes to go from A to B at 7:20am, how many different ways can he travel?

a)

12

b)

14

c)

8

d)

10

27.

What is the value of x? $\frac{3}{x-1}=\frac{2}{x+7}$

a)

23

b)

-23

c)

-21

d)

21

28.

Given that a, b, and c are positive integers, and abc = 210, what is the least possible sum for a + b + c?

a)

18

b)

14

c)

16

d)

20

29.

The students from Regent Middle School sat in 20 rows in such a way that each row after the first had 3 more students sitting in it than the previous row. If 16 students sat in the first row, how many students sat in the 19th row?

a)

70

b)

75

c)

80

d)

65

30.

What is the area of the polygon whose vertices are (0,0), (3,4), (0,8), (5,8) and (5,0), connected in that order?

a)

25

b)

30

c)

28

d)

27

31.

Andrew and Lindsay are seated at a round table with four people. If everyone is randomly seated, what is the probability that Andrew and Lindsay are seated next to each other? Express your answer as a common fraction.

a)

$\frac{2}{5}$

b)

$\frac{3}{5}$

c)

$\frac{7}{5}$

d)

$\frac{5}{2}$

32.

What is the probability of getting exactly 6 correct answers on a 10-question true-false test by randomly guessing? Express your answer as a common fraction.

a)

$\frac{150}{215}$

b)

$\frac{350}{512}$

c)

$\frac{105}{512}$

d)

$\frac{403}{215}$

33.

Bradlee draws a rectangle of width 160 inches and height 70 inches. Bianca draws a rectangle whose width is 50 larger than Bradlee's, and whose area is 50% larger than Bradlee's. What is the height of Bianca's rectangle?

a)

76

b)

72

c)

80

d)

85

34.

A Pythagorean Triple is an ordered triple of positive integers (a, b, c) satisfying the equation a²+ b² = c². If (x,28,53), (13,y,85) and (z,20,29) are Pythagorean Triples, what is the greatest prime factor of x + y + z?

a)

10

b)

5

c)

3

d)

2

35.

Farmer John owns a circular plot of land with a radius of 300 feet. He then fences off a square region that has vertices on the boundary of the circular plot. How many square feet of land lie inside the circular plot but outside the square region? Express your answer to the nearest thousand.

a)

103,000

b)

115,000

c)

13,000

d)

10,300

36.

The odds of success are a ratio of the form A:B, where A is the probability of a successful outcome and B is the probability of an unsuccessful outcome. If the odds of winning the game Galaxy Quest are 3:4, what is the probability of losing this game? Express your answers as a decimal to the nearest hundredth.

a)

0.67

b)

0.5

c)

0.57

d)

0.64

37.

In what percent of the positive two-digit integers is the tens digit at least five more than the units digit? Express your answer to the nearest tenth.

a)

15.7

b)

16.7

c)

17.6

d)

16.6

38.

In November, Tiffany proofread books at a rate of 10 pages per hour. She charged $24 per hour for this service. By January, she was able to proofread an additional 2 pages per hour, so she increased her hourly rate by $3 per hour. If Tiffany earned x dollars per page proofreading in November and y dollars per page in January, what is the ratio of x to y? Express your answer as a common fraction.

a)

$\frac{15}{16}$

b)

$\frac{12}{13}$

c)

$\frac{14}{13}$

d)

$\frac{16}{15}$

39.

Ellie has two dogs, a bulldog and a golden retriever. The bulldog's weight is 60% of the golden retriever's weight. If the golden retriever weighs 28 pounds more than the bulldog, what is the combined weight of Ellie's two dogs?

a)

114

b)

102

c)

112

d)

134

40.

If the sum of the measures of the interior angles of a polygon is 1620 degrees, how many sides does the polygon have?

a)

10

b)

11

c)

13

d)

9

41.

Tanner has four times as many shirts as pants, and he can use them to make 100 different shirt and pants outfits. How many pants does Tanner have?

a)

5

b)

9

c)

3

d)

12

42.

Bob has 91 pairs of socks. He donated these 91 socks to 7 different charities. If he donated the same amount of pairs of socks to each charity, how many total socks did he donate per charity?

a)

36

b)

13

c)

26

d)

39

43.

Which of the following simplifies to 2/3?

a)

8/13

b)

2/4

c)

8/12

d)

2/31

44.

Ms. Johnson teaches 31 students in her first grade class. She has to buy 2 paperclips per person for a project. If each paperclip is worth one penny, how much does she spend for the paperclips?

a)

$0.63

b)

$0.62

c)

$0.61

45.

The trigonometric ratio opposite side/hypotenuse = what?

a)

sine

b)

cosine

c)

tangent

d)

O/HS

46.

What is 35% of 240?

a)

84

b)

48

c)

36

d)

63

47.

If the area of a square is 529 in², then what is the perimeter of the square?

a)

28

b)

82

c)

92

d)

29

48.

Five gallons equals how many pints?

a)

20

b)

40

c)

13

d)

30

49.

How many ounces are in three cups?

a)

16

b)

24

c)

8

d)

32

50.

Anna went to the store and bought three towels. If each towel cost her $27, how much did she spend on all three towels combined?

a)

$18

b)

$81

c)

$30

d)

$9

51.

What is the length of the missing side, if the leg is 24 and the hypotenuse is 30?

a)

19

b)

18

c)

16

d)

15

52.

12³

a)

1723

b)

1728

c)

1729

d)

1726

53.

15³

a)

3376

b)

3374

c)

3375

d)

3379

54.

William is saving for a new computer. He already has $32. If the computer costs $300, how much more does William need to save?

a)

$268

b)

$267

c)

$264

d)

$263

55.

Joe wants to buy a shirt for $13.65 and a pair of jeans for $23.99. How much does Joe have to pay, assuming that today is part of Tax-Free Weekend (No Tax on School Related Items)?

a)

$38.64

b)

$37.64

c)

$37.65

56.

What kind of angles are shown?

a)

complementary

b)

supplementary

c)

adjacent

d)

corresponding

57.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

58.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

59.

The sum of three consecutive positive integers is 72. What is the product of the largest and smallest of the integers?

a)

25

b)

575

c)

605

d)

172

60.

The sum of three consecutive positive integers is 15. What is the product of the largest and smallest of the integers?

a)

24

b)

26

c)

32

d)

18

61.

√324

a)

18

b)

19

c)

20

d)

17

62.

101×64=

a)

6464

b)

6564

c)

6465

d)

6462

63.

XXIII=

a)

IX

b)

23

c)

32

d)

50

64.

14²-13²

a)

72

b)

27

c)

17

d)

28

65.

10×0.15235916552

a)

1.5235916553

b)

1.5235916554

c)

1.5235916552

d)

0.5235816552

Coaching Session #12

Total questions: 65

Worksheet time: 58mins

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