Determine the pattern and find the missing numbers in the given circles.

Question

ScanSolve AI Tutor · Accepted Answer

First, we need to identify the pattern from the sample circles.
In the top sample circle, the numbers are Top: 2, Left: 2, Right: 1.
In the bottom sample circle, the numbers are Top: 3, Left: 6, Right: 2.

Let's test the relationship: $\text{Top} = \frac{\text{Left}}{\text{Right}}$ .
For the top sample: $2 = \frac{2}{1}$ . This is correct.
For the bottom sample: $3 = \frac{6}{2}$ . This is also correct.

So, the rule is: The number at the top is obtained by dividing the number on the left by the number on the right.

Now, let's apply this rule to solve each problem.

Solve problem (1).
The numbers are Top: 2, Right: 1, Left: ?
Using the rule: $\text{Top} = \frac{\text{Left}}{\text{Right}}$
$2 = \frac{\text{Left}}{1}$ $\text{Left} = 2 \times 1 = 2$
The missing number is $\boxed{\text{2}}$ .
Solve problem (2).
The numbers are Top: 2, Left: 2, Right: ?
Using the rule: $\text{Top} = \frac{\text{Left}}{\text{Right}}$
$2 = \frac{2}{\text{Right}}$ $\text{Right} = \frac{2}{2} = 1$
The missing number is $\boxed{\text{1}}$ .
Solve problem (3).
The numbers are Left: 4, Right: 1, Top: ?
Using the rule: $\text{Top} = \frac{\text{Left}}{\text{Right}}$
$\text{Top} = \frac{4}{1} = 4$
The missing number is $\boxed{\text{4}}$ .
Solve problem (4).
The numbers are Top: 3, Left: 3, Right: ?
Using the rule: $\text{Top} = \frac{\text{Left}}{\text{Right}}$
$3 = \frac{3}{\text{Right}}$ $\text{Right} = \frac{3}{3} = 1$
The missing number is $\boxed{\text{1}}$ .
Solve problem (5).
The numbers are Top: 2, Right: 4, Left: ?
Using the rule: $\text{Top} = \frac{\text{Left}}{\text{Right}}$
$2 = \frac{\text{Left}}{4}$ $\text{Left} = 2 \times 4 = 8$
The missing number is $\boxed{\text{8}}$ .

Determine the pattern and find the missing numbers in the given circles.

Step-by-step solution

Solve problem (1).

Solve problem (2).

Solve problem (3).

Solve problem (4).

Solve problem (5).

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