PRAXIS CORE ACADEMIC SKILLS FOR EDUCATORS:
MATHEMATICS PRACTICE TEST 1
Alec needs 432 inches of molding to put along the ceiling of his dining room. How many
yards of molding should he buy. - Answers -this is a straight conversion problem. there
are 36 inches in 1 yard. converting from a smaller unit to a larger unit requires division:
432/36=12.
John, Mike, and Dillion are painting a fence. John paints 1/4 of the fence and Mike
paints 2/5th of the fence. How much of the fence is left to paint for Dillion - Answers -
The correct answer is 7/20.
rewrite all fractions with a common denominator.
lowest common denominator for 1/4 and 2/5 is 20: 1/4 x 5/5 = 5/20, and 2/5 x 4/4 =
8.20. these fractions represent how much of the fence has been painted. so, 5/20 +
8/20 = 13/20 of the fence has been painted. Therefore 1 - 13/20 = 20/20 - 13/20 = 7/20
The Andersons went out to dinner Saturday night and had a bill of $190.00. They gave
the server a 25% tip. how much money did the Anderson's tip their server - Answers -To
figure out a percent of a number, multiply by the decimal of the percent. the decimal for
25% is 0.25: 0.25 x $190 = $47.50
out of 100 workers polled at a local factory, 75 said they would favor being offered a
course in management. If there are 25,000 workers, how many would you expect to
favor being offered such a course - Answers -75 out of 100 is 75%. To find 75% of
25,000 multiply 25,000 x 0.75 = 18, 750
Jake rents a car for $200 each month, which includes 1,000 miles for the month. He is
charged an additional $0.55 for each mile driven over 1,000. If x represents the total
mileage Jack drives each month, and if he always drives over 1,000 miles per month,
what expression can be used to calculate his total monthly car rental bill. - Answers -his
rental fee will include the $200 plus 0.55 x the number of miles he drives over 1,000
miles. if x= total miles, then x-1000 = the total miles driven over 1,000.
therefore the expression becomes 200+0.55(x-1000)
Aidan and James sell a total of 48 magazines. If Aidan sells 3 times more magazines
than James, how many magazines does James sell - Answers -answer is 12...use an
algebraic equation. Let james be J , and since Aidan sells 3 times more than james,
Aidan will be 3J. The equation becomes 3J + J=48. combine like terms: 4J=48. Divide
each side by 4: J=12. James sells 3 magazines
of the 81,543 fans at the football game on sunday, 59,862 of them were male. write a
fraction of the ratio of males to total fans at the game. - Answers -round the numbers
MATHEMATICS PRACTICE TEST 1
Alec needs 432 inches of molding to put along the ceiling of his dining room. How many
yards of molding should he buy. - Answers -this is a straight conversion problem. there
are 36 inches in 1 yard. converting from a smaller unit to a larger unit requires division:
432/36=12.
John, Mike, and Dillion are painting a fence. John paints 1/4 of the fence and Mike
paints 2/5th of the fence. How much of the fence is left to paint for Dillion - Answers -
The correct answer is 7/20.
rewrite all fractions with a common denominator.
lowest common denominator for 1/4 and 2/5 is 20: 1/4 x 5/5 = 5/20, and 2/5 x 4/4 =
8.20. these fractions represent how much of the fence has been painted. so, 5/20 +
8/20 = 13/20 of the fence has been painted. Therefore 1 - 13/20 = 20/20 - 13/20 = 7/20
The Andersons went out to dinner Saturday night and had a bill of $190.00. They gave
the server a 25% tip. how much money did the Anderson's tip their server - Answers -To
figure out a percent of a number, multiply by the decimal of the percent. the decimal for
25% is 0.25: 0.25 x $190 = $47.50
out of 100 workers polled at a local factory, 75 said they would favor being offered a
course in management. If there are 25,000 workers, how many would you expect to
favor being offered such a course - Answers -75 out of 100 is 75%. To find 75% of
25,000 multiply 25,000 x 0.75 = 18, 750
Jake rents a car for $200 each month, which includes 1,000 miles for the month. He is
charged an additional $0.55 for each mile driven over 1,000. If x represents the total
mileage Jack drives each month, and if he always drives over 1,000 miles per month,
what expression can be used to calculate his total monthly car rental bill. - Answers -his
rental fee will include the $200 plus 0.55 x the number of miles he drives over 1,000
miles. if x= total miles, then x-1000 = the total miles driven over 1,000.
therefore the expression becomes 200+0.55(x-1000)
Aidan and James sell a total of 48 magazines. If Aidan sells 3 times more magazines
than James, how many magazines does James sell - Answers -answer is 12...use an
algebraic equation. Let james be J , and since Aidan sells 3 times more than james,
Aidan will be 3J. The equation becomes 3J + J=48. combine like terms: 4J=48. Divide
each side by 4: J=12. James sells 3 magazines
of the 81,543 fans at the football game on sunday, 59,862 of them were male. write a
fraction of the ratio of males to total fans at the game. - Answers -round the numbers
