Let’s solve each table one by one. We’ll look for the pattern between X and Y in each case.
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Table 1:
X | Y
2 | 4
3 | 6
4 | ?
? | 18
Look at first two rows:
When X = 2, Y = 4 → 2 × 2 = 4
When X = 3, Y = 6 → 3 × 2 = 6
So pattern:
Y = X × 2
Then:
If X = 4 → Y = 4 × 2 =
8
If Y = 18 → X = 18 ÷ 2 =
9
✔ Missing numbers: 8 (in row 3, column Y), and 9 (in row 4, column X)
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Table 2:
X | Y
9 | 3
18 | 6
27 | ?
? | 10
First row: 9 → 3 → 9 ÷ 3 = 3
Second row: 18 → 6 → 18 ÷ 3 = 6
Pattern:
Y = X ÷ 3
Then:
If X = 27 → Y = 27 ÷ 3 =
9
If Y = 10 → X = 10 × 3 =
30
✔ Missing numbers: 9 (row 3, Y), and 30 (row 4, X)
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Table 3:
X | Y
2 | 10
10 | 50
20 | ?
? | 300
First row: 2 → 10 → 2 × 5 = 10
Second row: 10 → 50 → 10 × 5 = 50
Pattern:
Y = X × 5
Then:
If X = 20 → Y = 20 × 5 =
100
If Y = 300 → X = 300 ÷ 5 =
60
✔ Missing numbers: 100 (row 3, Y), and 60 (row 4, X)
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Table 4:
X | Y
6 | 2
7 | 3
9 | ?
? | 10
Look at first two rows:
6 → 2 → difference is -4? But 7 → 3 is also -4? Wait…
Actually: 6 - 4 = 2, 7 - 4 = 3 → so maybe
Y = X - 4?
Check:
If X = 9 → Y = 9 - 4 =
5
If Y = 10 → X = 10 + 4 =
14
But let’s double-check — is there another pattern?
Alternatively, maybe it’s not subtraction. Let’s see:
From 6 to 7 (+1), Y goes from 2 to 3 (+1) → same increase. So linear with slope 1? Then yes, Y = X - 4 fits.
Also, if we think of ordered pairs: (6,2), (7,3), then next would be (9,5), then (14,10). That makes sense.
✔ Missing numbers: 5 (row 3, Y), and 14 (row 4, X)
Also, the instruction says: “Write down the ordered pairs. Graph the points...”
Ordered pairs are:
(6, 2), (7, 3), (9, 5), (14, 10)
You’d plot these on a coordinate plane later.
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Final Answer:
Table 1: Missing Y = 8, missing X = 9
Table 2: Missing Y = 9, missing X = 30
Table 3: Missing Y = 100, missing X = 60
Table 4: Missing Y = 5, missing X = 14; Ordered pairs: (6,2), (7,3), (9,5), (14,10)
Parent Tip: Review the logic above to help your child master the concept of number pattern worksheet 5th grade.
