PRAXIS CORE ACADEMIC SKILLS FOR EDUCATORS:
MATHEMATICS PRACTICE TEST 2
Tickets to the school play cost $7.50 for adults and $5 for children ages 12 and under.
On sat and sun afternoon, there is special matinee price: $5.50 for adults and $3 for
children ages 12 and under. Special group discounts are available for groups of 30 or
more people.
What information can be give from the passage? - answers -the difference between the
cost of a ticket to the school play for an adult on friday night and a ticket to the school
play for a 13 year old on saturday afternoon
One thousand students are participating in the regional math competition. An equal
number of teams of 5 students are placed into 4 different gymnasiums. Each team has
one adult coach. To find the total number of people (students and coaches) in each
gymnasium, you could` - answers -divide 1,000 by 5, add that result to 1,000 and then
divide that result by 4
Because there are 1,000 st and there are 5 stu on a team, 1,000/5=200 teams.
Therefore there are a total of 1,000 + 200 = 1,200 people involved (because each of the
200 teams has one adult coach). 1,200 people/4 gymnasiums = 200 ppl in each gym
Out of 100 students polled at a local uni, 80 said they would favor being offered a
course in web page development. If there are 30,000 students enrolled at this uni, how
many would you expect to favor being offered such a course - answers -80 stu out of
the 100 polled would prefer this class, and 80 out of 100 is 80%. To find 80% of 30,000,
multiply: 0.80 x 30,000 = 24, 000
Marvin wrapped a gift that is in a box that is a perfect cube with each side measuring d
inches. Maya arrives with a gift that is also in a box that is a perfect cube, but the edge
length of each side of her gift is twice as long as marvin's gift. How many sq inches of
wrapping paper, in terms of d, did maya need to wrap her gift. - answers -concepts to be
considered here are area and surface area. The amt of paper needed to cover a cube is
equivalent to the surface area of a cube. The surface area of a cube is the area of each
face (d x d) x 6, which is dsq
Harold has two containers that he has filled with water. One is a rectangular plastic box
with a base of 16 sq inches, and the other is a cylindrical container with a base radius of
2 inches and a height of 11 inches. If the rectangular box is filled with water 9 inches
from the bottom, and harold pours the water into the cylinder w/o spilling, what
happens? - answers -first determine the amount of water that can be held in each
container by finding the volume of each.
Volume of water poured into the rectangular box is found by multiplying the area of the
base by the height of the water: v = 16 in. Sq x 9 in. = 144 in cubed.
, The total volume of the cylindrical container can be found by using the formula v=
piersqxh, where r= radius of the base, h=height of the container, and pie=3.14 (plug in
values into formula) answer is 138.16 in cube.
Becuz there is more water in the rectangular box, the cylinder will overflow when all the
water is poured in.
Answer is: cylinder will overflow.
There were 504 candies in a jar. Between 8 and 9 o'clock, 1/8 of the candies were given
out, between 9 and 10 , 2/9 of the remaining candies were given out. At 11 1/7 of the
remaining candies are distributed. How many candies are left - answers -answer is 294.
When taking a fraction of some number, you are actually multiplying that number by the
fraction.
1/8 x 504 = 63 (504-63=441)
2/9 x 441 = 98 (441 -98 = 343)
1/7 x 343 = 49 (343 - 49 = 294)
If nyle ate 1/3 of a pizza, and nygel ate 2/5 of the pizza, what fraction of the pizza
remains. - answers -find common denominator, which is 15
Convert fractions to find that nyles eats 5/15 of the pizza and nygel eats 6/15 of the
pizza.
Add the fractions: 5/15 + 6/15 = 11/15
Subtract 11/15 from a whole pizza to find out what fraction remains: 15/15 + 11/15 =
4/15
What was the percent decrease in cost of electricity usage from 1999 to 2000 for the
engineering department.
Dollar amt consumed in 1999 was 1,000
Dollar amt consumed in 2000 was 800 - answers -the engineering depts electricity
usage decreased $200, from 1,000 to 800, in the period of 1999 to 2000.
To calculate the percentage decrease between two numbers, divide the difference
between the two numbers by the original number, so 200/1000 = 20/100, which is 20%
MATHEMATICS PRACTICE TEST 2
Tickets to the school play cost $7.50 for adults and $5 for children ages 12 and under.
On sat and sun afternoon, there is special matinee price: $5.50 for adults and $3 for
children ages 12 and under. Special group discounts are available for groups of 30 or
more people.
What information can be give from the passage? - answers -the difference between the
cost of a ticket to the school play for an adult on friday night and a ticket to the school
play for a 13 year old on saturday afternoon
One thousand students are participating in the regional math competition. An equal
number of teams of 5 students are placed into 4 different gymnasiums. Each team has
one adult coach. To find the total number of people (students and coaches) in each
gymnasium, you could` - answers -divide 1,000 by 5, add that result to 1,000 and then
divide that result by 4
Because there are 1,000 st and there are 5 stu on a team, 1,000/5=200 teams.
Therefore there are a total of 1,000 + 200 = 1,200 people involved (because each of the
200 teams has one adult coach). 1,200 people/4 gymnasiums = 200 ppl in each gym
Out of 100 students polled at a local uni, 80 said they would favor being offered a
course in web page development. If there are 30,000 students enrolled at this uni, how
many would you expect to favor being offered such a course - answers -80 stu out of
the 100 polled would prefer this class, and 80 out of 100 is 80%. To find 80% of 30,000,
multiply: 0.80 x 30,000 = 24, 000
Marvin wrapped a gift that is in a box that is a perfect cube with each side measuring d
inches. Maya arrives with a gift that is also in a box that is a perfect cube, but the edge
length of each side of her gift is twice as long as marvin's gift. How many sq inches of
wrapping paper, in terms of d, did maya need to wrap her gift. - answers -concepts to be
considered here are area and surface area. The amt of paper needed to cover a cube is
equivalent to the surface area of a cube. The surface area of a cube is the area of each
face (d x d) x 6, which is dsq
Harold has two containers that he has filled with water. One is a rectangular plastic box
with a base of 16 sq inches, and the other is a cylindrical container with a base radius of
2 inches and a height of 11 inches. If the rectangular box is filled with water 9 inches
from the bottom, and harold pours the water into the cylinder w/o spilling, what
happens? - answers -first determine the amount of water that can be held in each
container by finding the volume of each.
Volume of water poured into the rectangular box is found by multiplying the area of the
base by the height of the water: v = 16 in. Sq x 9 in. = 144 in cubed.
, The total volume of the cylindrical container can be found by using the formula v=
piersqxh, where r= radius of the base, h=height of the container, and pie=3.14 (plug in
values into formula) answer is 138.16 in cube.
Becuz there is more water in the rectangular box, the cylinder will overflow when all the
water is poured in.
Answer is: cylinder will overflow.
There were 504 candies in a jar. Between 8 and 9 o'clock, 1/8 of the candies were given
out, between 9 and 10 , 2/9 of the remaining candies were given out. At 11 1/7 of the
remaining candies are distributed. How many candies are left - answers -answer is 294.
When taking a fraction of some number, you are actually multiplying that number by the
fraction.
1/8 x 504 = 63 (504-63=441)
2/9 x 441 = 98 (441 -98 = 343)
1/7 x 343 = 49 (343 - 49 = 294)
If nyle ate 1/3 of a pizza, and nygel ate 2/5 of the pizza, what fraction of the pizza
remains. - answers -find common denominator, which is 15
Convert fractions to find that nyles eats 5/15 of the pizza and nygel eats 6/15 of the
pizza.
Add the fractions: 5/15 + 6/15 = 11/15
Subtract 11/15 from a whole pizza to find out what fraction remains: 15/15 + 11/15 =
4/15
What was the percent decrease in cost of electricity usage from 1999 to 2000 for the
engineering department.
Dollar amt consumed in 1999 was 1,000
Dollar amt consumed in 2000 was 800 - answers -the engineering depts electricity
usage decreased $200, from 1,000 to 800, in the period of 1999 to 2000.
To calculate the percentage decrease between two numbers, divide the difference
between the two numbers by the original number, so 200/1000 = 20/100, which is 20%
