SHAT MATH PROBLEMS

4^4 + 8^4 =

4,352

Triangle MNP has a base (MP) of 10cm. Triangle XYZ has two equal sides (XY and YZ) with lengths 9cm and a base (XZ) of 6cm. Triangle MNP is similar to triangle XYZ. What is the perimeter of triangle MNP?

40cm

There are two circular plates. One has a 18 inch diameter. One has a 12 inch diameter. What is the difference between the areas of the two plates, in square inches?

45π

** (needs diagram) There is a right triangle for whom the inverse of one interior angle is 43 degrees. what is the value of the inverse angle to the other non-right interior angle?

47

A cow is tied by an 8-meter rope to the outside corner of a square shed with a side length of 10 meters. What is the area of the surrounding grass on which the cow can graze?

48π sq m

Rita used 125 small solid cubs to build a large solid cube. The measure of each edge of the small cubes equals 1 inch. What is the measure of each edge of the large cube, in inches?

5

Tom and Gerald each ran 9 laps around a track, starting at the same time and place. If Tom ran 2.5 times as fast as Gerald, how many laps did Gerald have left to finish when Tom finished his 9th lap?

5 2/5

There is a line W-X-Y-Z. X and Y are points on the line WZ. XZ = 18cm WX:XZ = 3:2 XY:YZ = 2:1 What is the length of WY?

39cm

Michael received a check for $213 for working 20 hours at his part-time job. The amount on the check was his total pay after $32 in taxes was deducted. What was Michaels hourly pay rate before taxes were deducted?

$12.25

The value of a particular car decreases at a constant rate. If the car is worth $15,000 three years after its original purchase date and $10,000 five years after its original purchase date, what was the value of the car on its original purchase date?

$22,500

What number line represents the values of x that satisfy the inequality -5 <= 1 - 3x <= 4 ?

-1 <= x <= 2

What is the decimal equivalent to 13 / -11?

-1.18

If x = -4, what is the sum of x and 10% of |x|?

-3.6

Solve for x if y = 2.5. y = -2x - 17

-9.75

Janice selects a button from a container and then returns it to the container. When she does this 4 times, the probability of choosing a blue button all 4 times is 256. Based on this information, what is the probability of Janice choosiing a blue button the first time she selects a button?

1/4

In a scale diagram, 1 inch represents 1,000 meters. How many square inches on the diagram represent 1 square meter?

0.000001 sq m

Jevon earns 1/2 % per year on the money in his savings account. Which expression is not another way to write 1/2 %?

0.005/100

Which statement must be true if x is a whole number greater than or equal to 1?

1 / (x + 2) > 1 / (x + 3)

John runs 10 kilometers in 1 hour and 20 minutes. At that rate, how many meters does he run per minute?

125

A community garden had 50 members in 2001. In each of the next three years, the number of members increased by 40% over the number of members from the previous year. How many members were there in 2004? (Round to the nearest whole number)

137

** (needs diagram) ** A square is intersected by a line AB. A is on the top edge of the square. The obtuse angle A is 120. What is the obtuse angle at B?

150

A rectangular kitchen is 12 feet long and 7.5 feet wide. It will be covered completely with new square tiles measuring 0.75 foot on each side. How many tiles will cover the floor?

160

A train travels 1,094 miles from Raleigh, North Carolina, to Dover, Delaware. The train covers the first 208 miles in 4 hours. If the trains continues to travel at this rate, which of the following is closest to the number of hours it will take to reach Dover?

17

B is a point that is not on line a. How many lines can be drawn through B that form a 20-degree line with line a?

2

The greatest common factor of 18 and x is 9. How many possible values of x are greater than 10 and less than 60?

2

Typically, an amusement park sells 3 times as many tickets on Sunday as on any weekday, and 4 times as many tickets on Saturday as on Sunday. If the number of tickets sold on Saturday and Sunday totaled 30,000, how many tickets are expected to be sold on the following Monday?

2,000

A cylindrical can is 8 inches tall and has a radius of 1 1/4 inches. What is the area of a label that will completely cover the side of the can, with no overlap (not including the top and bottom)?

20π

A company with 200 employees grew in size by 25% between 2005 and 2010. The company grew again by 10% between 2010 and 2015. What was the total number of employees in 2015?

275

Priscilla can paint 2 / 5 of a square wall with 1 gallon of paint. How much of the same wall could she paint with 3 / 4 of a gallon?

3 / 10

Jackie swam 3 / 4 as many laps as Sam. Jackie swam 2 1/2 laps. How many laps did Sam swim?

3 1/3

A rectangular field had a length of 80 meters and a width of 50 meters. The field was recently enlarged, with the length increased by 15% and the width increased by 10 meters. By what percentage was the area of the field increased?

38%

** (needs diagram) ** There is a triangle MNP where the angle M is 40 degrees and the angle N is 90 degrees. Q is a point on the MP side of the triangle perpendicular below N and creating right angles with the MP line. What is the measure of angle P?

50

Three different colors of paint are available to paint the window frame, the door, and the wall of a house. If no two parts of the house may be painted the same color, how many ways are there to pain the three parts of the house?

6

Kim can repair 3 bicycles every 4 hours. At this rate, how long will it take her to repair 5 bicycles?

6hr 40min

Tamara's salary is $26,000. Mark's salary is $23,200. At the end of each year, Tamara is given a $500 raise and Mark is given a $900 raise. After how many years will Mark and Tamara be earning the same amount?

7

There is a closed box whose dimensions are 20cm high by 40cm wide by 50cm long. What is the total surface area, in square centimeters, of the closed box?

7600

The volume of a cube is 512 cubic centimeters. What is the length, in centimeters, of one side of this cube?

8

A box contains a total of 30 paper clips with colors in the ratio red:white:blue = 2:5:3. Suppose that one paper clip of each color is removed from the box and not replaced. What is the probability that the next paper clip chosen will be blue?

8 / 27

Express 4.8 x 10^2 + 7.6 X 10^3 in scientific notation

8.08 x 10^3

The least positive integer evenly divisible by the first 6 positive integers is 60. What is the least positive integer evenly divisible by the first 8 positive integers?

840

The numbers a, b, c, and d are different, and each is equal to one of the numbers 1, 2, 3, 9, or 18. If 9a = 3b = 1/2 c = d, what is the value of d?

9

David has d trading cards, and Brad has b trading cards. If David gives 8 trading cards to Brad, David will have three times as many trading cards as Brad. Which equation shows the relationship between d and b?

d - 8 = 3 (b + 8)

(8 - 12) / (-4 + 2) If the parantheses are removed from the above expression, how will the value of the expression change?

increase of 11

What equality represents the solution to |x + 1| => 2?

x <= -3 or x >= 1

Which inequality is equivalent to 6x - 20 < 5x - 2*(5 - 3x)?

x > -2

Suppose that w, x, y, and z are integers, none of which are zero. Under which set of conditions would the product x^2 * y * z^3 * |w| always be positive?

y is negative and z is negative