Common factor group size (ACT) is a grade 9 math skill aligned to Common Core standard HSN.Q.A.2. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 common factor group size (act) problems our math games drill.
A concert venue gave each member of a fan club the same number of wristbands and the same number of parking passes. The club received wristbands and parking passes in all. Which could be the number of members in the fan club?
The number of members must divide both totals. The common factors of and greater than are , , and . Only is listed: wristbands and passes per member.
The yearbook staff distributed senior photos and lapel pins so that each staff member received the same number of photos and the same number of pins. There were photos and pins in all. Which could be the number of staff members?
The number of staff members must divide both and . Common factors greater than include , , , , and . Only appears among the choices: photos and pins per person.
A chess club ordered custom shirts and name tags. Every member received the same number of shirts and the same number of tags. The shipment contained shirts and name tags in all. Which could be the number of members in the chess club?
The number of members must divide both totals evenly. The common factors of and greater than are , , and . Only is listed: shirts and tags per member.
A photography club ordered memory cards and lens cloths for each member. Every member received the same number of memory cards and the same number of lens cloths. The order included memory cards and lens cloths in all. Which could be the number of members in the photography club?
The number of members must divide both and . Common factors greater than include , , , , and . Only is listed: memory cards and lens cloths per member.
At a summer camp, each camper received the same number of activity tokens and the same number of snack coupons. The camp issued activity tokens and snack coupons in all. Which could be the number of campers?
The number of campers must divide both and . The common factors greater than are , , and . Only appears among the choices: tokens and coupons per camper.
Teen volunteers at a food drive packed supply bags so that each volunteer received the same number of water bottles and the same number of granola bars to distribute. The drive had water bottles and granola bars in all. Which could be the number of volunteers?
The number of volunteers must divide both totals. Common factors of and greater than include , , , , and . Only appears among the choices: bottles and bars per volunteer.
A drama club prepared scripts and prop kits for a showcase. Each cast member received the same number of scripts and the same number of prop kits. The club had scripts and prop kits in all. Which could be the number of cast members?
The number of cast members must divide both totals. The common factors of and greater than are , , and . Only appears among the choices: scripts and kits per member.
A robotics team ordered identical battery packs and connector cables for each member. Every member received the same number of battery packs and the same number of cables. The shipment contained battery packs and cables in all. Which could be the number of members on the robotics team?
The number of team members must divide both totals evenly. The common factors of and greater than are and . Only is listed: packs and cables per member.
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 common factor group size (act) questions at exactly the right difficulty.
