TSI Math Test Preparation |
Questions and Answers | Fall 2025/2026
Update | 100% Correct
Question 1
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
Question 2
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
Page 1 of 6
, Question 3
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
Question 4
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
Page 2 of 6
Questions and Answers | Fall 2025/2026
Update | 100% Correct
Question 1
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
Question 2
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
Page 1 of 6
, Question 3
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
Question 4
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
Page 2 of 6
