Patterns and Expressions Quiz

Grade 5 · Math · Quiz

Apply your knowledge of patterns and algebraic expressions.

Questions

1. What is the next term in 4, 8, 12, 16, ___?

   1. 18
   2. 20
   3. 22
   4. 24
   Show answer

   Answer: 20

   The rule is add 4. 16 + 4 = 20.

2. What is the rule for: 2, 6, 18, 54?

   1. Add 4
   2. Multiply by 3
   3. Multiply by 4
   4. Add 12
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   Answer: Multiply by 3

   2×3=6, 6×3=18, 18×3=54.

3. Evaluate n + 8 when n = 5.

   1. 3
   2. 13
   3. 40
   4. 58
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   Answer: 13

   5 + 8 = 13.

4. Evaluate 6n when n = 7.

   1. 13
   2. 1
   3. 42
   4. 67
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   Answer: 42

   6 × 7 = 42.

5. Which expression means 'a number n multiplied by 5, then subtract 3'?

   1. 5 - n × 3
   2. 5n - 3
   3. n + 5 - 3
   4. 3 - 5n
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   Answer: 5n - 3

   n multiplied by 5 = 5n. Then subtract 3: 5n - 3.

6. Complete the pattern: 100, 90, 80, 70, ___, ___

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   Answer: 60, 50

   Rule: subtract 10. 70-10=60, 60-10=50.

7. Evaluate 2n + 4 when n = 3: ___

   Show answer

   Answer: 10

   2 × 3 = 6, then 6 + 4 = 10.

8. Write an expression for 'a number n divided by 4': ___

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   Answer: n / 4

   Divided by 4 means ÷ 4. The expression is n / 4 (or n ÷ 4).

9. The pattern 1, 4, 9, 16, 25 represents:

   1. Multiples of 4
   2. Perfect squares
   3. Multiples of 5
   4. Prime numbers
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   Answer: Perfect squares

   1=1², 4=2², 9=3², 16=4², 25=5². These are perfect squares.

10. If the expression 4n + 1 equals 21, what is n?

    1. 4
    2. 5
    3. 6
    4. 7
    Show answer

    Answer: 5

    4n + 1 = 21 → 4n = 20 → n = 5. Check: 4×5+1 = 21.

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