TSI Math Test Preperation 15 Questions with Verified Answers
Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased
... [Show More] her production by 18%, how many dolls would Janet produce each month? - CORRECT ANSWER First, calculate 18% of 23.
23 × 0.18 = 4.14
Then, add this value (the increase) to the original value of 23.
23 + 4.14 = 27.14
Rounding off, we get 27.
What is the formula for Area? - CORRECT ANSWER Area = L*W
Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch? - CORRECT ANSWER The formula for the area of a rectangle:
A = Width * Length
From the question we know that L = 2W and that A = 50. So we can plug these values into our equation and solve for W:
50 = W * L
50 = W * 2W
50 = 2W²
W² = 25
W = 5
We know that L = 2W, so L = 10
Perimeter = 2L + 2W
Perimeter = 2 * 10 + 2 * 5
Perimeter = 30
Diego's current age is five times Martina's age ten years ago. If Martina is currently m years old, what is Diego's current age in terms of m? - CORRECT ANSWER Martina's age ten years ago is:
m − 10
So Diego's age is:
5(m − 10)
= 5m − 50
The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9? - CORRECT ANSWER Y= K*X
2= K*3
2/3 = K*3 /3
K = 2/3
Plug in K for the second formula
Y=2/3(9)
Y = 2*3 = 6
The correct answer is 6
The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length L of the yard is 18 feet longer than the width W of the yard, what is the area of the yard, in square feet? - CORRECT ANSWER Area= L*W
Perimeter= 2l + 2w
L = W + 18 = 9+ 18 = 27
72 = 2 ( W+18) = 2w
72 = 2w+ 36+ 2w
72 = 4w + 36
36/4 = 4w/4 ----> 9= W
27* 9 = 243
The answer is 243
There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part? - CORRECT ANSWER Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girls do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5
There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part? - CORRECT ANSWER Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girl do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5
A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 − 16t2 + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked? - CORRECT ANSWER h(t) = 20-16t^2 + 32t
h(t) = -16t^2 +32+20
x= -b /2a = -(32)/2(-16) = -32/-32 = 1
Plug one in the original equation.
h(1) = -16(1)^2 +32+20
= -16+32+20
The answer is 36 ft
In the xy-plane, what is the y-intercept of the graph of the equation
y = 2(x + 3)(x − 4)? - CORRECT ANSWER
There are 3x-2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x-16 trees planted in the parcel, how many rows of trees are there in the parcel? - CORRECT ANSWER Formula: ( trees / rows) (rows) = # of trees
( 3x-2/3x-2)/ rows = 24x-16/(3x-2)
Rows= 8
10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days? - CORRECT ANSWER 10 people can paint a building in 5 days. Each person paints 1/10 of the building in 5 days. In 5 days 7 people would paint 7 × 1/10 of the building In 5 days 7 people would paint 7/10 of the building.
What is the x value such that y =15 - 3x and y = 0? - CORRECT ANSWER y =15 - 3x and y = 0
Hence 15 - 3x = 0
Hence 3x = 15
x = 5 : The answer
Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2 - CORRECT ANSWER If 1/4, 2/3, 4/7, 1/2 are converted to decimals we get 0.25, 0.6666...., 0.571....., 0.5 then the correct order is obvious
or
If 1/4, 2/3, 4/7, 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.
An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches how long is the perimeter? - CORRECT ANSWER The other side must be 5 inches otherwise the two shorter sides could not meet. The perimeter is the distance around the outside of the triangle and is 5 + 5 + 2 = 12. [Show Less]