Quiz about Middle Grades Practice Questions 2018-2019

Question 1

In an American football game, a touchdown and a kicked extra point associated with the touchdown is worth 7 points and a field goal is worth 3 points. If only the two types of scoring previously described were done in a football game, which of these scores would be the highest score impossible to achieve?

Accepted Answer

11

Answer

8

Answer

22

Answer

29

Question 2

What is the sum of the digits of the least positive integer, N, that when divided by 2, or 3, or 4, or 5 all leave a remainder of 1?

Accepted Answer

7

Answer

3

Answer

5

Answer

9

Question 3

What is the greatest common divisor of 2464 and 7469?

Accepted Answer

77

Answer

99

Answer

97

Answer

83

Question 4

Which of the following integers has the largest remainder when divided by 17?

Accepted Answer

B. 81

Answer

A. 29

Answer

C. 122

Answer

D. 312

Question 5

Tom has a string that is 6 1/4 meters long. He cuts 1 2/3 meters off one end and then cuts the remaining string into 5 equal pieces. When the length of each of the 5 equal pieces of string is expressed as a fraction, what is the numerator of this fraction?

Accepted Answer

D. 11

Answer

A. 55

Answer

B. 44

Answer

C. 22

Question 6

Evaluate the expression, j (h - |h|), when h = -1 and j = 5.

Accepted Answer

A. -10

Answer

B. -5

Answer

C. 5

Answer

D. 10

Question 7

Including 7% tax, Sarah paid $202.22 for a bicycle that had a sticker price of $269.99 not including tax. To the nearest tenth, what was the percentage discount on the bicycle Sarah bought?

Accepted Answer

D. 30.0%

Answer

A. 23.7%

Answer

B. 25.1%

Answer

C. 28.2%

Question 8

Eddie does contract hauling with his semi-truck. Last year Eddie averaged 623.5 miles per day while driving 10.25 hours per day when he was under contract. Use the averages given to calculate, to the nearest minute, how long Eddie would be on the road if a contracted trip was 3690 miles.

Accepted Answer

D. 60 hours 40 minutes

Answer

A. 59 hours 39 minutes

Answer

B. 59 hours 42 minutes

Answer

C. 60 hours 38 minutes

Question 9

Alex saves nickels, dimes, and quarters. After a few months Alex discovers the ratio of nickels to dimes to quarters is 2:3:6. If Alex has 38 nickels, use the ratio to determine the value of the coins he has saved up to this point.

Accepted Answer

B. $36.10

Answer

A. $34.20

Answer

C. $37.30

Answer

D. $38.40

Question 10

Use the conversion factor, 2.54 centimeters equals one inch, to calculate the number of whole centimeters in 1.43 miles.

Accepted Answer

A. 230,136 cm

Answer

B. 226,512 cm

Answer

C. 221,981 cm

Answer

D. 90,604 cm

Question 11

Judy has 1.53 gallons of a liquid fragrance that needs to be placed into one teaspoon containers for resale. How many one teaspoon containers can Judy completely fill with the fragrance?

Accepted Answer

1175

Answer

1087

Answer

1156

Answer

1201

Question 12

Find the value of x in the drawing shown to the right. (Figure not drawn to scale and all angles are measured in degrees.)

Accepted Answer

120

Answer

110

Answer

100

Answer

90

Question 13

AD is the diameter of circle O and AB is a chord in the circle. If AD is 50 inches and AB is 48 inches what is the perpendicular distance from chord AB to the center of circle O?

Accepted Answer

7 inches

Answer

2 inches

Answer

5 inches

Answer

8 inches

Question 14

The sides of a rectangle (length and width) are in the ratio 5:3. If the perimeter of the rectangle is 288 centimeters, find the width of rectangle.

Accepted Answer

54 cm

Answer

90 cm

Answer

84 cm

Answer

72 cm

Question 15

A right circular cone is made of solid gold. The cone has a radius of 4 centimeters and a height of 2 centimeters. If the cone is melted and then remade into a sphere, what is the radius of the sphere?

Accepted Answer

2 cm

Answer

1 cm

Answer

3 cm

Answer

4 cm

Question 16

The radius of a sphere is equal to the radius of a right circular cylinder. If the volume of the sphere is two-sevenths the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?

Accepted Answer

14:3

Answer

7:2

Answer

7:3

Answer

14:5

Question 17

A large holding tank can hold a volume of 147 kiloliters. If water is poured into the tank at 49 liters per minute, how long will it take to fill the holding tank?

Accepted Answer

50 hours

Answer

55 hours

Answer

60 hours

Answer

500 hours

Question 18

A single container of chocolate is 13 centimeters long, 6 centimeters wide, and 3 centimeters deep. How many containers of chocolate can be packed into a container that is 130 centimeters long, 42 centimeters wide, and 39 centimeters deep?

Accepted Answer

910

Answer

901

Answer

913

Answer

920

Question 19

In the drawing to the right triangle CGL is similar to triangle MPS. The similarity ratio between triangle CGL to triangle MPS is 5/2. What is the length of PS? (Triangles not drawn to scale.)

Accepted Answer

8 units

Answer

12 units

Answer

16 units

Answer

20 units

Question 20

On the first five of seven tests in his Geography class Kai averaged 74.2. If Kai needs to have an average of exactly 80.0, what would need to be the sum of his grades on the final two tests in the class? (Each test is worth 100 points.)

Accepted Answer

189

Answer

179

Answer

182

Answer

Not possible, there are not enough points available to raise his grade to 80.0

Question 21

The graph below shows the increases in the Federal Hourly Minimum Wage since its inception until September 1997. In what time frame did the minimum wage have the greatest increase as measured in cents?

Accepted Answer

April 1991 and October 1996

Answer

January 1981 and April 1990

Answer

April 1990 and April 1991

Answer

October 1996 and September 1997

Question 22

If a prime number is less than 31, what is the probability the prime number is less than 17?

Accepted Answer

3/5

Answer

5/9

Answer

2/3

Answer

8/15

Question 23

Pete and Sam both flip a fair coin 3 times. What is the probability that Pete and Sam have the same number of heads on their flips?

Accepted Answer

5/16

Answer

3/8

Answer

9/32

Answer

19/64

Question 24

Four science books and 3 math books are to be arranged on a shelf. The math books will be placed on the left and the science books will be placed on the right of the shelf. How many ways can the books be arranged?

Accepted Answer

144

Answer

12

Answer

72

Answer

216

Question 25

What is the sum of the solutions of the following equation: |1 - 3x| = |3 - 2x|?

Accepted Answer

-6/5

Answer

-2/5

Answer

6/5

Answer

14/5

Question 26

How many positive integers are solutions for the following equation? (7x - 1)/3 + 6 > 5x - (5 + 3x)/2

Accepted Answer

6

Answer

0

Answer

3

Answer

9

Question 27

Solve for x: |x - 2|/(x - 2) > 0

Accepted Answer

x > 2

Answer

x > -2

Answer

x < -2

Answer

x < 2

Question 28

Simplify $\frac{x+1}{4y} \div \frac{x+4}{8y}$.

Accepted Answer

$\frac{x+4}{2(x+1)}$

Answer

$\frac{2x+1}{x+4}$

Answer

$\frac{2(x+1)}{x+2}$

Answer

$\frac{2x+1}{x+2}$

Question 29

It takes 4 workers 6 hours to repair a road. How long will it take 7 workers to do the job if they work at the same rate?

Accepted Answer

$3 \frac{3}{7}$ hours

Answer

$10 \frac{2}{5}$ hours

Answer

$5 \frac{1}{4}$ hours

Answer

$3 \frac{6}{7}$ hours

Question 30

Which statement below is true regarding the ordered pairs shown below? $(-2, -1), (1, -4), (7, -10), (8, -11)$

Accepted Answer

The ordered pairs are both a relation and a function.

Answer

The ordered pairs are a relation only.

Answer

The ordered pairs are a function only.

Answer

The ordered pairs are neither a relation nor a function.

Question 31

Let $f(x) = 2x - 1$ and $g(x) = 3x$. Find $g(f(0))$.

Accepted Answer

-3

Answer

0

Answer

1

Answer

3

Question 32

On the graph of the linear equation $5x + 3y = 42$, there is a point such that $y = 3x$. Find the coordinates of the point.

Accepted Answer

(3, 9)

Answer

(3.5, 10.5)

Answer

(2.5, 7.5)

Answer

(4, 12)

Question 33

For the equation, $8x - y = 8$, at what points does the graph of the equation cross the x-axis and the y-axis?

Accepted Answer

x-axis: (1, 0), y-axis: (0, -8)

Answer

x-axis: (0, 1), y-axis: (0, -8)

Answer

x-axis: (-1, 0), y-axis: (0, 8)

Answer

x-axis: (0, -1), y-axis: (8, 0)

Question 34

Solve the following system of equations for x and y. What is the value of xy? 3x + 2y = 7 y = -3x + 11

Accepted Answer

-20

Answer

20

Answer

18

Answer

-18

Question 35

The sum of the squares of two positive numbers, A and B where A < B, is 208. If the square of the larger number is 18 times the smaller number, find 3A + 2B.

Accepted Answer

48

Answer

52

Answer

54

Answer

60

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