Math Drills
Patterns and Regularity
3Word Problems
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What this worksheet covers
- Worksheet
- Patterns and Regularity
Word problems name an answer from a rule of repetition or arrangement. Questions naming the color at a given position in a repeating row of colors or symbols, questions counting how many of one color have appeared by that point, repeating numbers, the weekday so many days from today, and rows of numbers growing at even intervals are all worked through.
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The writing gives the first four numbers of the row. Put 4 into the expression set up and test whether it matches the fourth number. An expression that multiplied the common difference by the position just as it stands returns a figure one step out here.
Various Word Problems runs for six lessons from here. In How Savings Grow it is not a position in a repetition but the number of times a fixed sum piles up before it reaches a target that gets counted.
- The Color at a Given Position1 question
- Counting the Colors1 question
- Repeating Numbers1 question
- Days of the Week1 question
- Arithmetic Sequences1 question
Questions & answers
Problems and answers on this worksheet
These are the problems in “Various Word Problems”, shown with their answers.
(1)White and black beads are arranged repeatedly in the order white, black, white, black, and so on. What color is the 30th bead from the left? Answer □
Answer: black
(2)Red, white, white, red, white repeat in that order. How many white stones are there up to the 32nd from the left? Answer □
Answer: 19stones
(3)1, 2, 3, 4, 1, 2, 3, ⋯ repeat in this order. The number in the 41st position from the left is what? Answer □
Answer: 1
(4)Today is Tuesday. What day of the week will it be 52 days from today? Answer with one of: Sun, Mon, Tue, Wed, Thu, Fri, Sat. Answer □
Answer: Fri
(5)2, 7, 12, 17, ⋯ are arranged in a row. What is the number in the 18th position from the left? Answer □
Answer: 87
What to do next
More worksheets in this unit
Work-Rate ProblemsWork-Rate Problems Word Problems
Crane and Turtle ProblemsCrane and Turtle Problems Word Problems
Elimination ProblemsElimination Problems Word Problems
Age ProblemsAge Problems Word Problems
Various Word Problems ReviewVarious Word Problems Review Word Problems (Work Rate, etc.)
Various Word Problems ReviewVarious Word Problems Review Word Problems (Age Problems, etc.)
