Patterns and Sequences Quiz

Grade 3 · Math · Quiz

Test your ability to identify rules, extend patterns, and find missing terms.

Questions

1. What comes next: 8, 16, 24, 32, ___?

   1. 36
   2. 38
   3. 40
   4. 48
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   Answer: 40

   Rule: add 8. 32 + 8 = 40.

2. Pattern: 50, 45, 40, 35, ___. Next term: ___

   Show answer

   Answer: 30

   Rule: subtract 5. 35 − 5 = 30.

3. The pattern 1, 3, 9, 27 has a rule of multiply by 3.

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   Answer: True

   1×3=3, 3×3=9, 9×3=27. Rule is ×3.

4. What is the rule for: 100, 75, 50, 25?

   1. Subtract 25
   2. Subtract 20
   3. Divide by 2
   4. Subtract 30
   Show answer

   Answer: Subtract 25

   100−75=25, 75−50=25, 50−25=25. Rule: subtract 25.

5. What is the missing number? 4, 8, ___, 16, 20

   1. 10
   2. 11
   3. 12
   4. 14
   Show answer

   Answer: 12

   Rule: add 4. 8 + 4 = 12. Check: 12 + 4 = 16 ✓.

6. In the pattern 6, 12, 18, 24, the rule is add ___.

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   Answer: 6

   6, 12, 18, 24 — each term increases by 6.

7. The pattern 2, 4, 6, 8 and the pattern 5, 10, 15, 20 both have a rule of adding the same number each time.

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   Answer: True

   Both are growing patterns with a consistent addition rule (add 2 and add 5, respectively).

8. A repeating pattern is: triangle, circle, circle, triangle, circle, circle. What comes next?

   1. Triangle
   2. Circle
   3. Square
   4. Diamond
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   Answer: Triangle

   Core: triangle, circle, circle. After two circles, the pattern repeats with triangle.

9. The 5th term in the pattern that starts at 3 and adds 4 each time is:

   1. 15
   2. 19
   3. 23
   4. 17
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   Answer: 19

   Term 1: 3, Term 2: 7, Term 3: 11, Term 4: 15, Term 5: 19. Add 4 each time.

10. 63, 56, 49, 42, ___. Next: ___

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    Answer: 35

    Rule: subtract 7. 42 − 7 = 35.

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