Numerical patterns Knowledge-Based Download PDF

Questions

1. 1.

   In the numerical pattern $2, 40, 6, 35, 10, 30, 14, 25, \dots$, what is the 12th term?

   • A) 10
   • B) 12
   • C) 15
   • D) 20
2. 2.

   In a numerical pattern, the sum of any three consecutive terms is always 36. If the first term is 9 and the second term is 16, what is the 48th term of this pattern?

   • A) 11
   • B) 9
   • C) 16
   • D) 20
3. 3.

   If the expressions $2x + 1$, $4x - 3$, and $5x + 2$ represent three consecutive terms of an arithmetic numerical pattern in that order, what is the value of $x$?

   • A) 7
   • B) 9
   • C) 11
   • D) 13
4. 4.

   What is the smallest number that appears in both the numerical pattern $4, 10, 16, 22, \dots$ and the numerical pattern $3, 8, 13, 18, \dots$?

   • A) 28
   • B) 23
   • C) 38
   • D) 58
5. 5.

   The sum of the first $n$ terms of a numerical pattern is given by the formula $S_n = 2n^2 + 3n$. What is the 6th term of this pattern?

   • A) 90
   • B) 65
   • C) 21
   • D) 25
6. 6.

   In a numerical pattern where each term after the first is generated by multiplying the preceding term by a constant factor, the 2nd term is 12 and the 5th term is 96. What is the 7th term of this pattern?

   • A) 152
   • B) 192
   • C) 288
   • D) 384
7. 7.

   What is the sum of the first 12 terms of the numerical pattern $4, 7, 10, 13, \dots$?

   • A) 210
   • B) 228
   • C) 246
   • D) 282
8. 8.

   In a numerical pattern, the first two terms are 3 and 5, and every subsequent term is the sum of the two terms immediately preceding it. What is the 7th term of this pattern?

   • A) 34
   • B) 42
   • C) 48
   • D) 55
9. 9.

   A numerical pattern begins with 2, and each subsequent term is obtained by multiplying the preceding term by 2 and then adding 1. What is the 5th term of this pattern?

   • A) 47
   • B) 46
   • C) 45
   • D) 95
10. 10.

    In the numerical pattern $3, 8, 18, 33, 53, k, \dots$, the difference between consecutive terms increases by a constant amount each step. What is the value of $k$?

    • A) 68
    • B) 73
    • C) 83
    • D) 78
11. 11.

    What is the 8th term of the numerical pattern $2, 5, 10, 17, 26, \dots$?

    • A) 65
    • B) 50
    • C) 63
    • D) 82
12. 12.

    How many terms in the numerical pattern $5, 9, 13, 17, \dots$ are strictly less than 100?

    • A) 24
    • B) 23
    • C) 25
    • D) 20
13. 13.

    Which of the following numbers is a term in the numerical pattern whose general rule is $7n - 4$?

    • A) 140
    • B) 144
    • C) 157
    • D) 165
14. 14.

    Pattern A begins at 3 and increases by 8 for each subsequent term, while Pattern B begins at 63 and decreases by 4 for each subsequent term. For which term number do both patterns have the same value?

    • A) 4
    • B) 5
    • C) 7
    • D) 6
15. 15.

    A numerical pattern begins with 85, and each term after the first is formed by subtracting 6 from the preceding term. What is the value of the first negative term in this pattern?

    • A) -1
    • B) -5
    • C) -6
    • D) -7
16. 16.

    The sum of three consecutive terms in an arithmetic numerical pattern is 78. If the constant difference between consecutive terms is 5, what is the value of the largest of these three terms?

    • A) 26
    • B) 31
    • C) 36
    • D) 21
17. 17.

    In an arithmetic numerical pattern with a constant difference between consecutive terms, the 4th term is 19 and the 9th term is 44. What is the first term of this pattern?

    • A) 1
    • B) 2
    • C) 4
    • D) 9
18. 18.

    Which algebraic expression represents the $n$th term of the numerical pattern $4, 11, 18, 25, 32, \dots$?

    • A) $4n + 7$
    • B) $7n + 4$
    • C) $7n - 4$
    • D) $7n - 3$
19. 19.

    In the numerical pattern $8, 15, 22, 29, \dots$, which term has a value of $197$?

    • A) 26th term
    • B) 27th term
    • C) 28th term
    • D) 29th term
20. 20.

    Consider the numerical pattern: 7, 13, 19, 25, 31, ... What is the 24th term of this pattern?

    • A) 139
    • B) 145
    • C) 151
    • D) 144