Table problems with percents and ratios (ACT) is a grade 7 math skill aligned to Common Core standard 7.RP.A.3: use proportional relationships to solve multistep ratio and percent problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 table problems with percents and ratios (act) problems our math games drill.
An online store tracked orders by size. How many orders were completed?
\begin{array}{l|c|c} \text{Size} & \text{Orders placed} & \text{Percent completed} \ \hline \text{Small} & 40 & 90\% \ \text{Medium} & 50 & 80\% \ \text{Large} & 30 & 70\% \end{array}
Small: Medium: Large: Total completed: orders.
The table shows quiz grades for a class of students. What percent of the students earned an A?
\begin{array}{l|c} \text{Grade} & \text{Number of students} \ \hline \text{A} & 12 \ \text{B} & 18 \ \text{C} & 10 \ \text{D} & 10 \end{array}
Total students: Percent with an A:
A school sold tickets to two events. What is the ratio of gala revenue to fair revenue in simplest form?
\begin{array}{l|c|c|c} \text{Event} & \text{Tickets available} & \text{Price each} & \text{Percent sold} \ \hline \text{Gala} & 100 & \text{\char36}40 & 80\% \ \text{Fair} & 200 & \text{\char36}15 & 60\% \end{array}
Gala tickets sold: , so revenue is Fair tickets sold: , so revenue is The ratio simplifies by dividing by to
The table shows miles driven and gasoline used over two weeks. At the same miles-per-gallon rate, how many gallons are needed to drive miles?
\begin{array}{l|c|c} \text{Week} & \text{Miles} & \text{Gallons} \ \hline 1 & 240 & 8 \ 2 & 180 & 6 \end{array}
Week : miles per gallon. Week : miles per gallon. So gallons.
Three purchases are taxed at the rates shown. What is the total cost including tax?
\begin{array}{l|c|c} \text{Item} & \text{Price} & \text{Sales tax} \ \hline \text{Book} & \text{\char36}40 & 5\% \ \text{Headphones} & \text{\char36}60 & 8\% \ \text{Cable} & \text{\char36}20 & 10\% \end{array}
Book: Headphones: Cable: Total:
At a fitness challenge, each completed attempt scores the points shown. How many points were scored in all?
\begin{array}{l|c|c|c} \text{Station} & \text{Attempts} & \text{Percent completed} & \text{Points each} \ \hline \text{Jump} & 20 & 80\% & 1 \ \text{Sprint} & 15 & 60\% & 2 \ \text{Throw} & 25 & 40\% & 3 \end{array}
Jump: completed for points. Sprint: completed for points. Throw: completed for points. Total: points.
Two store locations report inventory and the percent sold. How many more items were sold at the South store than at the North store?
\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \ \hline \text{North} & 200 & 25\% \ \text{South} & 160 & 50\% \end{array}
North sold items. South sold items. Difference: items.
The table shows two juice mixtures. For Mixture A, what decimal part of the total liquid is concentrate?
\begin{array}{l|c|c} \text{Mixture} & \text{Concentrate (L)} & \text{Water (L)} \ \hline \text{A} & 2 & 8 \ \text{B} & 3 & 9 \end{array}
Mixture A has liters total. Concentrate is of the mixture.
The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.
The free placement test finds your level, then every match serves table problems with percents and ratios (act) questions at exactly the right difficulty.
