Number patterns
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A pattern is a sequence of numbers, shapes, or other objects that follows a specific rule such as repeating, growing, or both. Number patterns can be repeating, growing, or a combination of both. Examples of number patterns include skip counting, repeating numbers, and growing numbers. Geometric patterns also follow specific rules with repeating shapes or letters. The document provides examples of number patterns and problems involving number patterns to solve.
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Number patterns
- 2. WHAT IS A PATTERN? A pattern is an ordered set of numbers, shapes or other mathematical objects arranged according to a rule.
- 3. NUMBER PATTERNS Definition: A number pattern is a sequence of numbers that follows a specific rule i.e. Repeating Growing Examples: Growing Numbers Skip Counting 2,4,6,8,10,…….. 5,10,15,20,25,……. Repeating Numbers 1 2 3 4 1 2 3 4 1 2 3 4…… Repeating and Growing
- 4. GEOMETRIC PATTERNS Definition: A pattern that uses shapes or letters that follows a specific rule i.e. Repeating patterns Examples: Growing Numbers
- 5. NUMBER PATTERN Observe the patterns and complete the following: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123× 8 + 3 = 987 1234 × 8 + 4 = 9876 12345 × 8 + 5 = 98765 123456 × 8 + 6 = 987654 1234567 × 8 + 7 = 9876543 12345678 × 8 + 8 = 98765432
- 6. NUMBER PATTERN Find the sum of Consecutive Numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = ………. Solution:: 8 + 0 = 8 1 + 7 = 8 2 + 6 = 8 1+2+3+4+5+6+7+8 3 + 5 = 8 4 + 0 = 4 Adding them all we can write 4 × 8 + 4= 32 + 4 = 36
- 7. WHAT IS A PATTERN? Complete the following Pattern: 12345679 × 27 = 333333333 12345679 × 36 = 444444444 12345679 × 45 = 555555555 12345679 × 54 = 666666666 12345679 × 63 = 777777777 12345679 × 72 = 888888888 12345679 × 81 = 999999999
- 8. A little bug ate 135 flies in 5 days. Each day, it ate 10 more flies than it did on the previous day. How many flies had the bug eaten (A) After 3 days? (B) After 4 days? Solution: Let the number of bugs eaten on 1st day be x The number of bugs eaten on 2nd day = x+10 The number of bugs eaten on 3rd day = x+10+10 = x+20 The number of bugs eaten on 4th day = x+10+10+10 = x+30 The number of bugs eaten on 5th day = x+10+10+10+10 = x+40 Total bugs eaten = x +(x+10)+ (x+20)+ (x+30)+ (x+40)= 135 5x+ 100=135 5x=135-100 5x=35 x=35÷5=7 So, Bugs eaten after 3 days = 27 bugs Bugs eaten after 4 days = 37 bugs