Number and shape patterns Knowledge-Based Download PDF

Questions

1. 1.

   Consider the number pattern 2, 5, 10, 17, 26, ... What is the 8th term of this pattern?

   • A) 50
   • B) 65
   • C) 64
   • D) 82
2. 2.

   A repeating number pattern continues indefinitely in the order 7, 9, 6, 8, 7, 9, 6, 8, ... What is the 75th term of this pattern?

   • A) 7
   • B) 9
   • C) 6
   • D) 8
3. 3.

   A number pattern starts at 5 and alternates between adding 6 and subtracting 2: 5, 11, 9, 15, 13, 19, 17, ... What is the 12th term of this pattern?

   • A) 29
   • B) 31
   • C) 33
   • D) 35
4. 4.

   Pattern A starts at 4 and increases by 7 each term (4, 11, 18, ...), while Pattern B starts at 88 and decreases by 5 each term (88, 83, 78, ...). At which term number do both patterns have the same value?

   • A) 7
   • B) 8
   • C) 9
   • D) 10
5. 5.

   A row of connected regular pentagons is constructed using toothpicks such that each pentagon after the first shares exactly one edge with the preceding pentagon. How many toothpicks are needed to construct a row of 24 pentagons?

   • A) 97
   • B) 96
   • C) 101
   • D) 120
6. 6.

   In a number pattern where each term after the second is the sum of the two preceding terms, the first three terms are 3, $x$, and 11. What is the fifth term of this pattern?

   • A) 22
   • B) 27
   • C) 30
   • D) 38
7. 7.

   In an arithmetic number pattern, the first three terms are $x$, $2x + 3$, and $4x - 1$. What is the value of $x$?

   • A) 4
   • B) 7
   • C) 8
   • D) 10
8. 8.

   Which expression represents the $n^{\text{th}}$ term of the number pattern 8, 15, 22, 29, 36, ...?

   • A) $7n + 1$
   • B) $7n + 8$
   • C) $8n - 1$
   • D) $8n + 7$
9. 9.

   A number pattern begins with the terms 9, 16, 23, 30, 37, ... Which term in this pattern has a value of 212?

   • A) The 28th term
   • B) The 29th term
   • C) The 30th term
   • D) The 31st term
10. 10.

    Consider the number pattern 4, 11, 18, 25, 32, ... What is the 50th term of this pattern?

    • A) 354
    • B) 350
    • C) 343
    • D) 347