Grade 3 Patterns & Equations worksheet
from Gradelings · Name: ______________________
How to explain it
- An equation has an = sign. Both sides are the same.
- A letter or box stands for a missing number.
- Do the opposite to find it: the opposite of + is −.
Example: n + 7 = 15 Undo + 7 by taking away 7. 15 − 7 = 8. Answer: n = 8
Question 1
Follow the pattern. What number goes where the ? is?
Hands Fingers 1 5 2 10 3 15 4 20 5 ? answer box
25
Hint: Each row has 5 more fingers. Keep adding 5: 20 → 25.
Question 2
Which equation matches the story? The is the number we don't know.
Noah had 71 stickers.
Noah gave some to friends.
Now Noah has 61.
- 71 + 61 = ☐
- 71 − ☐ = 61
- ☐ − 71 = 61
71 − ☐ = 61
Hint: Noah started with 71 and gave some away, leaving 61. So 71 − ☐ = 61.
Question 3
What number comes next?
32, 35, 38, 41,
- 44
- 45
- 43
- 47
44
Hint: Each number goes up by 3. 41 + 3 = 44.
Question 4
What number goes in the box?
39 + = 58
- 18
- 19
- 20
- 97
19
Hint: Count up from 39 to 58, or think 58 − 39 = 19.
Question 5
What number is missing from the pattern?
43, 40, 37, , 31
answer box
34
Hint: The numbers go down by 3 each time. 37 − 3 = 34.
Question 6
Which pattern rule fits?
19, 15, 11, 7
- Start at 19 and subtract 5 each time
- Start at 19 and add 4 each time
- Start at 15 and subtract 4 each time
- Start at 19 and subtract 4 each time
Start at 19 and subtract 4 each time
Hint: The pattern starts at 19. Then it changes by the same amount each time: 19 to 15 is −4.
Question 7
How many blocks will the next tower have?
357??- 10
- 4
- 9
- 8
9
Hint: Each tower has 2 more blocks than the one before. 7 + 2 = 9.
Question 8
What kind of pattern is this?
4321- Decreasing
- Repeating
- Increasing
Decreasing
Hint: Increasing patterns get bigger each time. Decreasing patterns get smaller. In a repeating pattern, the same part comes again and again.
Question 9
How many marbles did Maya have at first?
Maya had some marbles.
A friend gave Maya 8 more.
Now Maya has 56.
answer box
48
Hint: Write it as ☐ + 8 = 56. To find the ☐, take away the 8: 56 − 8 = 48.
Question 10
What number makes both sides equal?
32 + 11 = 40 +
- 2
- 4
- 43
- 3
3
Hint: Both sides must be worth the same. 32 + 11 = 43, so 40 + ? = 43. The box is 3.
Answer key
- 1. 25
- 2. 71 − ☐ = 61
- 3. 44
- 4. 19
- 5. 34
- 6. Start at 19 and subtract 4 each time
- 7. 9
- 8. Decreasing
- 9. 48
- 10. 3
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