Interactive Math Simulation: Lesson Solutions & Explanations
💡 Remember! (Concept Summary):
A pattern is a sequence of numbers governed by a fixed mathematical rule. To discover the rule, compare any two consecutive numbers:
If numbers increase, we are adding (+).
If numbers decrease, we are subtracting (-) or counting backwards.
Exercise 1: Write the missing numbers, and complete the pattern
A- 74, 76, 78, [ ? ], [ ? ], [ ? ]
B- 105, 110, 115, [ ? ], [ ? ], [ ? ]
C- 800, 700, [ ? ], [ ? ], [ ? ]
D- 30, 80, 130, [ ? ], [ ? ], [ ? ]
E- 421, 424, 427, [ ? ], [ ? ], [ ? ]
F- 950, 900, [ ? ], [ ? ], [ ? ]
Exercise 2: Make up some number patterns of your own
Create and test your own number pattern by choosing a start number and a step:
Start Number:
Step (+ or -):
Generated: 10, 20, 30, 40, 50, 60
💡 Remember! (Even & Odd Numbers Rules):
• Even Numbers: Numbers divisible by 2 without a remainder. Their ones digit is always 0, 2, 4, 6, or 8.
• Odd Numbers: Numbers NOT divisible by 2 (they leave a remainder of 1). Their ones digit is always 1, 3, 5, 7, or 9. Golden Tip: Regardless of how large a number is, always inspect only the ones digit!
Exercise 1: Write
1) The even numbers between 12 and 19:
2) The odd numbers between 26 and 36:
3) The first 6 even numbers after 37:
Exercise 2: Write 'E' for even numbers and 'O' for odd numbers
Number
Your Answer ('E' or 'O')
Ones Digit & Explanation
47
Ends with 7 → Odd (O)
389
Ends with 9 → Odd (O)
255
Ends with 5 → Odd (O)
366
Ends with 6 → Even (E)
148
Ends with 8 → Even (E)
149
Ends with 9 → Odd (O)
152
Ends with 2 → Even (E)
596
Ends with 6 → Even (E)
Exercise 3: How do you know? (Reasoning Questions)
Q1: Is 65 an even number? How do you know?
Q2: Is 41440 an even number? How do you know?
🔍 Any-Number Inspector (Even or Odd Tester)
Type any number to test whether it is Even or Odd with reasoning: