Math Drills
Various Word Problems Review
A-3Word Problems (Work Rate, etc.)
What this worksheet covers
Grade 6 (Elementary School) / Various Word Problems
Word problems solved by spotting a rule are collected here. Patterns giving the color or the weekday at a given position, the growth of savings, work-rate problems with two people cooperating, problems about Cranes and Turtles, elimination problems that cancel one unknown across two expressions, and age problems each come with their own way of setting up an expression and drawing a diagram.
With patterns, the remainder after dividing by the cycle length gets misread, and a remainder of 0 is answered with the first color. In Cranes and Turtles, the difference produced by assuming everything is a crane is divided by the total count instead of by the difference in legs per animal. In age problems, children cannot make use of the fact that the gap between two ages never changes.
Comparing two people's motion at once, the organizing principle of Traveler Problems, is applied here across a much wider range of settings, from work-rate problems to age problems. Representing an unknown with a box, the method used in Various Word Problems in grade 5, widens into elimination, solving by weighing two expressions against each other. Reasoning that carries on into junior high school and beyond is folded into this unit as well.
- Work-Rate Problems · Two People Working Together1 question
- Work-Rate Problems · The Remaining Work1 question
- Crane and Turtle Problems · Shopping Problems2 questions
- Elimination Problems · Subtracting Directly to Eliminate1 question
Grade it with your phone
Take a photo of the finished sheet and the answers are checked for you.
Grade with a photoOther versions of this worksheet
Problems and answers on this worksheet
These are the problems in “Various Word Problems”, shown with their answers.
(1)To make a flower bed, person A 1 takes 3 days, and person B 1 takes 6 days. If person A and person B do this job, the 2 of them, in how many days can they finish it? Answer □
Answer: 2days
(2)To finish painting a wall with paint, A 1 person working alone would take 20 days. A works first for 8 days, and then B 1 person finishes the rest alone in 6 days. If B 1 person did the whole job alone, how many days would it take? Answer □
Answer: 10days
(3)The school bought 1 for 90 dollars basketballs and 1 for 180 dollars bicycles as sports day prizes, 5 in total, and the cost was 630 dollars. How many of each did the school buy — basketballs and bicycles? basketball □ bicycle □
Answer: 3basketballs, 2bicycles
(4)The school bought 1 for 100 dollars trumpets and 1 for 150 dollars bicycles for the sports and music day, 9 in total, and the cost was 1150 dollars. How many of each did the school buy — trumpets and bicycles? trumpet □ bicycle □
Answer: 4trumpets, 5bicycles
(5)2 gems and 3 wallets cost 480 dollars, and 2 gems and 5 wallets cost 640 dollars. What is the price of 1 gem and 1 wallet each? 1 gem □ 1 wallet □
Answer: 120dollars, 80dollars
