Numeric patterns

Pattern 1: 276, 265, 254, 243, 232, 221, 210 Description: This pattern is a ________ pattern. It has a constant ______ of _______. Rule: _______ each time.

• shrinking; difference; 11; subtract 11

• growing; sum; 10; add 10

• shrinking; ratio; 2; divide by 2

• growing; difference; 5; add 5

Answer explanation

The pattern shows a consistent decrease of 11 in each step (276 to 265, 265 to 254, etc.), indicating it is a shrinking pattern with a constant difference of 11. Thus, the correct choice is 'shrinking; difference; 11; subtract 11'.

Pattern 2: 5, 25, 125, 625, 3 125, 15 625, 78 125 Description: This pattern is a ________ pattern. It has a constant ______ of _______. Rule: _______ each time.

• growing; ratio; 5; multiply by 5

• shrinking; difference; 10; subtract 10

• growing; difference; 20; add 20

• shrinking; ratio; 2; divide by 2

Answer explanation

This pattern is a growing pattern because each number increases. The constant ratio is 5, as each term is obtained by multiplying the previous term by 5.

Pattern 3: [Diagram of numeric pattern: 39, 59, 79, 99, 119, 139, 159] Description: This pattern is a ________ pattern. It has a constant ______ of _______. Rule: ________ each time.

• increasing pattern, difference, 20, Add 20

• decreasing pattern, sum, 10, Subtract 10

• alternating pattern, product, 5, Multiply by 5

• constant pattern, quotient, 2, Divide by 2

Answer explanation

The pattern increases by 20 each time, making it an increasing pattern. The constant difference of 20 confirms that we add 20 to each number to get the next one.

Pattern 4: [Diagram of numeric pattern: 300000, 30000, 3000, 300, 30, 3] Description: This pattern is a (a)   pattern. It has a constant (b)   of (c)   . Rule: (d)   each time.

• This pattern is a decreasing patter

• This pattern is an increasing patte

• This pattern is a decreasing patter

• This pattern is an increasing patte

Answer explanation

This pattern is a decreasing pattern because each number is ten times smaller than the previous one, indicating a consistent decrease.

My own numeric patterns. Pattern 1:
[Diagram with 7 blanks for a numeric pattern]
_____, _____, _____, _____, _____, _____, _____
Description:
Rule:

Which of the following is a possible rule for the numeric pattern shown above?

• Add 2 each time

• Multiply by 2 each time

• Subtract 1 each time

• Divide by 2 each time

Answer explanation

The pattern likely increases by a consistent amount. Adding 2 each time fits this description, as it creates a sequence of numbers that progresses uniformly. The other options would not maintain a consistent pattern.

Match each numeric pattern description with its correct rule.

• 2, 4, 6, 8, ...

• Subtract 1 each time

• 1, 2, 4, 8, ...

• Add 2 each time

• 10, 9, 8, 7, ...

• Multiply by 2 each time

• 32, 16, 8, 4, ...

• Divide by 2 each time

My own numeric patterns. Pattern 2:
[Diagram with 7 blanks for a numeric pattern]
_____, _____, _____, _____, _____, _____, _____
Description:
Rule:

Which of the following sequences best fits the pattern above?

• 2, 4, 6, 8, 10, 12, 14

• 1, 3, 5, 7, 9, 11, 13

• 5, 10, 15, 20, 25, 30, 35

• 10, 20, 30, 40, 50, 60, 70

Answer explanation

The pattern consists of even numbers increasing by 2. The sequence 2, 4, 6, 8, 10, 12, 14 fits this rule perfectly, while the other options consist of odd numbers or multiples of 5.

My own numeric patterns. Pattern 2:
Description:
What is the rule for this pattern?

• Add 2 each time

• Multiply by 2 each time

• Subtract 1 each time

• Divide by 2 each time

Answer explanation

The pattern increases by 2 with each step. For example, if the sequence starts at 1, the next numbers would be 3, 5, 7, etc. This confirms the rule is to add 2 each time.