Math PRAXIS exam

In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from the lot, the probability that the selected car would be a green car is one sixth1616 and the probability that it would be a red car is one eighth1818. What is the probability that it would be a white car?

1- 1/6-1/8

The interior measurements of the base of a rectangular fish tank are 12 inches by 25 inches. The tank is sitting on a flat surface and contains 3,600 cubic inches of water. What is the height, in inches, of the water in the tank?

12X25 divided by 3600

When 5,462.93 is multiplied by 10, which digit of the resulting number is in the tens place?

2

If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many minutes will it take the machine to fill 240 bottles?

240X 3 over 40

Results from a survey conducted in a certain grocery store showed that 3 out of 5 people preferred crispy-flakes cereal to crunchy-flakes cereal. Based on this survey, if a total of 2,500 customers bought one of these two cereals, how many most likely purchased crunchy-flakes cereal?

2500X 2 over 5

If n times kn×kn×k is divisible by 4, then n is divisible by 4 or k is divisible by 4.

2X6=12

Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gallons of heating oil. What fraction of the tank's total capacity will be full in 30 minutes?

4.5X30=135. The amount of heating oil in the 400-gallon tank at the end of the 30 minutes is 115 + 135 or 250 over 400 the answer in fraction form is 5 over 8

A map of Amy's city is drawn to scale. The actual distance from her home to her school is 9.5 miles, while on the map the same distance is 3.8 inches. If on the map the distance between the park and the train station is 1.6 inches, what is the actual distance between the park and the train station, in miles?

If the actual distance between the park and the train station is x miles, the proportion the fraction x over 1.6, equals the fraction 9.5 over 3.8x1.6=9.53.8x1.6=9.53.8 can be set up, with the solution x equals the fraction with numerator 1.6 times 9.5, and denominator 3.8x=1.6×9.53.8x=1.6×9.53.8, or x equals 4x=4x=4.

A measurement of 4.5 yards is how many feet longer than a measurement of 132 inches?

Since 1 yard is 3 feet, 4.5 yards is 4.5 times 3 or 13.5 feet. Since 12 inches is 1 foot, 132 inches is the fraction 132 over 12, or 11 feet. A measurement of 4.5 yards is longer than a measurement of 132 inches by 13.5 minus 11 or 2.5 feet

Bill takes a vitamin B pill every 3 days and a vitamin C pill every 4 days. If he takes both pills on day 1, for how many of the next 65 days will Bill take both pills on the same day?

Since Bill takes one vitamin every 3 days and the other vitamin every 4 days, Bill will take both vitamins every 3X4, or 12 days. If he takes both pills on day 1, he will take both pills again on day 1 plus 121+121+12, or day 13, on day 13 plus 1213+1213+12, or day 25, on day 25 plus 1225+1225+12, or day 37, on day 37 plus 1237+1237+12, or day 49, and on day 49 plus 1249+1249+12, or day 61. The number of times Bill will take both pills after day 1 is five.

In the preceding isosceles triangle, angle P is congruent to angle Q. If angle P has a measure of 53 degrees53°53°, what is the measure of angle R ?

Since angle P is congruent to angle Q, the measure of each of the angles P and Q is 53 degrees53°53°. Since the sum of the measures of the angles P, Q, and R is 180 degrees180°180°, the measure of angle R is 180 minus, 2 times 53180−2×53180−2×53, or 74 degrees.

The preceding diagram represents a circular garden, where the straight path from point P to point Q goes through the center of the circle. The circumference of the circular garden is 120 yards. Approximately how long is the path from P to Q, in yards?

Since the circumference of a circle is piππ times the diameter of the circle, the length of line segment P QPQ⎯⎯⎯⎯PQ¯ (that is, the diameter of the circle) is the fraction 120 over pi120π120π yards, or approximately 38 yards.

In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?

Since the total number of new and preowned cars on the lot is 66 and the ratio of the number of new cars to the number of preowned cars is 6 to 5, the number of new cars is 66 times the fraction with numerator 6, and denominator 6 plus 5, end fraction , or 36, and the number of preowned cars is 66 times the fraction with numerator 5, and denominator 6 plus 5, end fraction66×56+566×56+5, or 30. After 4 new cars and 2 preowned cars are sold and removed from the lot, the total number of remaining cars on the lot is 60, of which 32 are new cars and 28 are preowned cars. The fraction of the remaining cars on the lot that are preowned is the fraction 28 over , or equivalently the fraction 7 over. Numeric entry question. The correct answer consists of a fraction. There are separate response areas for the numerator and denominator. There is no additional information needed to answer the question, so there is no reference region.

On a hiking trip, the ratio of the number of children to the number of adults is 3 to 5. Which of the following could be the total number of children and adults on the hiking trip?

The answer has to be a multiple of 8 and the only option is 56.

Which of the following expressions is equivalent to 13 x minus 2113x−2113x−21 for all numbers x ?

The expression 3 times, open parenthesis, x minus 7, close parenthesis, plus 10 x3(x−7)+10x3(x−7)+10x is equivalent to 3 x minus, 3 times 7, plus 10 x3x−3×7+10x3x−3×7+10x, which can be simplified to 13 x minus 2113x−2113x−21.

What is the range of all integers greater than 40 and less than 99 that are multiples of 3 ?

The list of integers greater than 40 and less than 99 that are multiples of 3 is 42, 45, 48, dot dot dot..., 90, 93, and 96. The range of the list is the difference between the largest value in the list and the smallest value in the list; that is, the range is 96 minus 4296−4296−42, or 54.

The preceding figure is composed of 5 equal-sized squares. If the perimeter of the figure is 96 inches, what is the area of the figure, in square inches?

The perimeter of the figure consists of 12 sides of the squares, so the side of a square is the fraction 96 over 12, or 8 inches. The area of the figure is 5 times the area of a square with a side of 8 inches; that is, the area is 5 times 8 squared or 320 square inches.

When Barry input the numbers in the calculator, he reversed the digits in one of the five numbers by mistake. The value of the sum produced by the calculator was off by 18 from the actual value of the sum. What is the number that was entered incorrectly in the calculator?

The sum of the five numbers is 51 plus 74, plus 93, plus 86, plus 6151+74+93+86+6151+74+93+86+61, or 365. When the digits in 86 are reversed, the sum of the five numbers is 51 plus 74, plus 93, plus 68, plus 6151+74+93+68+6151+74+93+68+61, or 347, which is 365 minus 347365−347365−347, or 18 away from the correct sum value.