Middle School Math Quiz: Construct And Interpret Two Way Tables

What this quiz covers

This quiz focuses on Construct And Interpret Two Way Tables, giving you a quick way to practice the rules, question types, and explanations that matter most for Middle School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

Question 1

1. $\frac{25}{80} = 0.3125$ (correct answer)
2. $\frac{25}{60} = 0.4167$
3. $\frac{25}{200} = 0.125$
4. $\frac{55}{80} = 0.6875$

Question 2

1. 40
2. 80
3. 15 + 10 = 25
4. 25 (correct answer)

Question 3

1. 	Pet: Yes	Pet: No	Total
   Apartment	15	40	55
   House	35	10	45
   Total	50	50	100

   (correct answer)

2. 	Pet: Yes	Pet: No	Total
   Apartment	15	35	40
   House	40	10	60
   Total	55	45	100

3. 	Pet: Yes	Pet: No	Total
   Apartment	35	15	50
   House	10	40	50
   Total	45	55	100

4. 	Pet: Yes	Pet: No	Total
   Apartment	15	35	50
   House	40	10	50
   Total	55	45	100

Question 4

1. Rows = Curfew (Yes/No), Columns = Chores (Yes/No)

   	Chores: Yes	Chores: No	Total
   Curfew: Yes	20	10	30
   Curfew: No	15	5	20
   Total	35	15	50

2. Rows = Curfew (Yes/No), Columns = Chores (Yes/No)

   	Chores: Yes	Chores: No	Total
   Curfew: Yes	20	10	30
   Curfew: No	5	15	20
   Total	25	25	50

3. Rows = Chores (Yes/No), Columns = Curfew (Yes/No)

   	Curfew: Yes	Curfew: No	Total
   Chores: Yes	20	5	25
   Chores: No	10	15	25
   Total	30	20	50

4. Rows = Curfew (Yes/No), Columns = Chores (Yes/No)

   	Chores: Yes	Chores: No	Total
   Curfew: Yes	20	10	20
   Curfew: No	5	15	30
   Total	25	25	50

   (correct answer)

Question 5

1. Apartment living causes people to not own pets.
2. There is no association because both housing types have 50 people total. (correct answer)
3. People in apartments are more likely to have pets because $15/100=15\%$ is greater than $40/100=40\%$.
4. People in houses are more likely to have pets because $40/50=80\%$ is greater than $15/50=30\%$.

Question 6

1. No association, because $15+40=55$ families have pets.
2. Yes, housing type causes pet ownership because 80% is larger than 30%. (correct answer)
3. Yes, there appears to be an association: $15/50=30\%$ of apartment families have pets, while $40/50=80\%$ of house families have pets.
4. No association, because the total number of families in apartments equals the total number in houses (50 each).

Question 7

1. $\frac{40}{50}=80\%$ (correct answer)
2. $\frac{50}{40}=125\%$
3. $\frac{40}{55}\approx 73\%$
4. $\frac{40}{100}=40\%$

Question 8

1. There is no association because 6th grade has 40 students and 8th grade has 40 students.
2. There appears to be an association because $30/40=75\%$ of 8th graders participate, compared with $25/40=62.5\%$ of 6th graders. (correct answer)
3. There is no association because $25/100=25\%$ and $30/100=30\%$ are close.
4. There is an association because being in 8th grade causes students to join activities.

Question 9

1. Pet ownership appears associated with housing type because $\frac{15}{50}=30\%$ of apartment families have pets, but $\frac{40}{50}=80\%$ of house families have pets. (correct answer)
2. There is no association because the number of apartment families (50) equals the number of house families (50).
3. Housing type causes families to get pets.
4. There is no association because $15+40=55$ families have pets, which is more than half.

Question 10

1. $\dfrac{10}{40}=25\%$
2. $\dfrac{30}{40}=75\%$ (correct answer)
3. $\dfrac{30}{80}=37.5\%$
4. $\dfrac{40}{30}\approx 133\%$

Question 11

1. 	Activity: Yes	Activity: No	Total
   6th grade	25	15	40
   8th grade	30	10	40
   Total	55	25	80

   (correct answer)

2. 	Activity: Yes	Activity: No	Total
   6th grade	25	10	35
   8th grade	30	15	45
   Total	55	25	80

3. 	Activity: Yes	Activity: No	Total
   6th grade	15	25	40
   8th grade	10	30	40
   Total	25	55	80

4. 	Activity: Yes	Activity: No	Total
   6th grade	40	25	65
   8th grade	40	30	70
   Total	80	55	135

Question 12

1. $\frac{18}{24}=75\%$
2. $\frac{18}{48}=37.5\%$
3. $\frac{18}{72}=25\%$ (correct answer)
4. $\frac{18}{36}=50\%$

Question 13

1. No, because band causes students to like fiction less.
2. Yes, because $30/90$ is much larger than $24/90$.
3. Yes, because the number of band students (50) is greater than the number of non-band students (40).
4. No, because $30/50=60\%$ and $24/40=60\%$ are the same. (correct answer)

Question 14

1. 28 (correct answer)
2. 18
3. 30
4. 60

Question 15

1. $\frac{12}{40}=30\%$ (correct answer)
2. $\frac{12}{100}=12\%$
3. $\frac{12}{48}=25\%$
4. $\frac{40}{100}=40\%$

Question 16

1. 42 teens
2. 63 teens (correct answer)
3. 90 teens
4. 27 teens

Question 17

1. $\frac{40}{80}=50\%$
2. $\frac{30}{40}=75\%$ (correct answer)
3. $\frac{30}{55}\approx54.5\%$
4. $\frac{30}{80}=37.5\%$

Question 18

1. Yes, because 28 out of 50 students who walk participate in activities, while only 22 out of 70 bus riders participate in activities.
2. No, because more bus riders participate in total activities compared to students who walk, showing bus riders are more active overall.
3. Yes, because the participation rate for walkers (56%) is significantly higher than for bus riders (31.4%), supporting the claim about likelihood. (correct answer)
4. No, because the sample sizes are too small to determine if walkers are truly more likely to participate than bus riders.

Question 19

1. $\frac{35}{120} = 0.292$
2. $\frac{35}{80} = 0.4375$
3. $\frac{35}{65} = 0.538$ (correct answer)
4. $\frac{45}{80} = 0.5625$

Question 20

1. $\frac{30}{50}=0.60=60\%$
2. $\frac{20}{50}=0.40=40\%$
3. $\frac{20}{30}\approx 0.67\approx 67\%$ (correct answer)
4. $\frac{20}{25}=0.80=80\%$