Robots & Reefs: High School Algebra Practice
A free, printable Grade 10 multi-step word problem worksheet themed around Robots, Mermaids. Each problem takes two or three steps to solve. Work them on screen or print the PDF — a teacher/parent answer key is included.
Show answer key (for grown-ups)
1.A robotic assembly line has 3 type-A humanoid robots and 5 type-B quadcopter robots. Together they assemble 190 circuit boards per hour. If a type-A robot assembles 10 more boards per hour than a type-B robot, how many boards does one type-A robot assemble?30
2.A mermaid is building a rectangular garden of bioluminescent sea-kelp. The length of the garden is 5 meters more than twice its width. If the perimeter of the garden is 70 meters, what is the length of the garden in meters?25
3.A deep-sea exploration robot travels at a constant speed of 15 meters per minute. A rescue robot starts from the same origin 8 minutes later, traveling at 20 meters per minute along the same path to catch up. How many minutes does it take the rescue robot to catch the exploration robot?24
4.A mermaid alchemist wants to create 60 liters of a custom healing saltwater solution with exactly 12% salinity. She plans to mix a high-salinity solution of 15% with a low-salinity solution of 5%. How many liters of the 15% salinity solution must she use?42
5.A robotics club designs and sells custom mini-bot kits. Their fixed workshop rent is $120, and each kit costs $15 to manufacture. If they sell each kit for $25, how many kits must they sell to make a net profit of exactly $350?47
6.Three mermaid sisters, Adella, Aquata, and Arista, can clean a coral reef together. Adella works twice as fast as Aquata, and Aquata works twice as fast as Arista. If they can clean a reef of 280 square meters in 8 hours when working together, how many square meters can Aquata clean alone in 10 hours?100