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Quizzes > High School Quizzes > Mathematics

Number Patterns Practice Quiz

Sharpen math skills with interactive number puzzles

Difficulty: Moderate
Grade: Grade 3
Study OutcomesCheat Sheet
Paper art promoting Pattern Puzzle Challenge quiz for high school students.

What is the next number in the sequence: 2, 4, 6, 8, ?
8
12
10
9
The sequence increases by 2 each time. Therefore, after 8 the next number is 10.
What is the next term in the sequence: 5, 10, 15, ?
30
25
18
20
This is an arithmetic sequence with a constant difference of 5. Adding 5 to the last term (15) results in 20.
What is the pattern rule for the sequence: 3, 6, 12, 24, ?
Multiply by 2 each time
Subtract 3 each time
Square the previous number
Add 3 each time
Each term in the sequence is obtained by multiplying the previous term by 2. Therefore, the rule is to multiply by 2.
What number completes the Fibonacci sequence: 1, 1, 2, 3, 5, ?
6
8
7
9
In the Fibonacci sequence, each term is the sum of the two preceding ones. Thus, 3 + 5 equals 8.
What is the next number in the series: 10, 20, 30, 40, ?
70
45
60
50
The series increases by 10 each time. Adding 10 to 40 gives 50, making it the correct next term.
Find the missing number in the sequence: 2, 4, 8, __, 32, 64.
12
16
18
14
The sequence doubles each time (2, 4, 8, ...). After 8, multiplying by 2 gives 16, which is the missing number.
What is the next number in the sequence: 1, 4, 9, 16, 25, ?
30
36
35
40
This sequence represents the squares of consecutive integers (1², 2², 3², ...). The next square, 6², is 36.
Determine the next number in the pattern: 3, 5, 9, 17, ?
34
31
35
33
The differences between consecutive terms double each time (2, 4, 8, ...). Adding 16 to 17 gives 33.
Find the missing number in the sequence: 1, 3, 6, 10, ?
12
14
15
16
This sequence lists triangular numbers, where each term is the sum of the natural numbers up to a certain point. Following 10, the next triangular number is 15.
What is the next prime number in the sequence: 2, 3, 5, 7, 11, ?
17
15
19
13
The sequence lists consecutive prime numbers. The prime number following 11 is 13.
Identify the next term in the sequence of cubes: 1, 8, 27, 64, ?
125
110
100
130
The numbers are cubes of consecutive integers (1³, 2³, 3³, 4³). The next cube, 5³, equals 125.
What is the next term in the sequence: 4, 6, 9, 13, 18, ?
24
25
26
23
The increases between terms are 2, 3, 4, and 5. The next increase should be 6, so adding 6 to 18 gives 24.
Complete the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, ?
22
24
20
21
In the Fibonacci sequence, each term is the sum of the two preceding terms. Adding 8 and 13 produces 21.
Identify the next number in the sequence: 2, 4, 7, 11, 16, ?
21
23
22
24
The differences between the terms increase by 1 each time: 2, 3, 4, and 5. Thus, adding 6 to 16 gives 22.
Determine the next term in the sequence: 5, 10, 20, 40, ?
90
85
70
80
The sequence doubles each term. Therefore, multiplying 40 by 2 gives 80.
What is the next term in the sequence: 2, 5, 10, 13, 26, 29, ?
39
42
58
32
This sequence alternates between adding 3 and multiplying by 2. After adding 3 to 26 to get 29, the next step is multiplication: 29 × 2 equals 58.
Find the missing number in the factorial sequence: 1, 2, 6, 24, ?, 720.
144
120
150
100
The sequence represents factorials: 1!, 2!, 3!, 4!; therefore, the missing term is 5!, which equals 120. The sixth term, 6!, is 720.
In the sequence 3, 4, 7, 11, 18, 29, ?, what is the next number?
47
43
49
51
Each term in this sequence is the sum of the two preceding numbers. Adding 18 and 29 gives 47, which is the next term.
Identify the next term in the pattern: 9, 5, 3, 5, 9, 17, ?
35
33
37
31
Analyzing the differences yields a pattern: -4, -2, +2, +4, +8. The next logical difference is +16, so adding 16 to 17 results in 33.
In a sequence defined by the recurrence relation a(n) = 3*a(n-1) - 2 with a(1) = 2, what is the 5th term?
84
80
82
86
Starting with a(1) = 2, the sequence progresses as follows: a(2)=4, a(3)=10, a(4)=28, and a(5)=82. Thus, the 5th term is 82.
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Study Outcomes

  1. Recognize distinct numerical patterns in puzzle sequences.
  2. Analyze series to determine underlying mathematical rules.
  3. Apply logical reasoning to predict subsequent puzzle elements.
  4. Evaluate problem-solving strategies to verify pattern consistency.
  5. Synthesize puzzle information to develop effective exam preparation techniques.

Number Patterns Cheat Sheet

  1. Arithmetic Sequences - Arithmetic sequences are all about adding or subtracting the same number each time to get the next term. Think of it like stepping up a staircase where each step is exactly the same height - easy to predict! Mastering this helps you spot linear patterns faster than you can say "plus three." Recognizing Common Number Patterns
  2. Geometric Sequences - In geometric sequences, you multiply or divide by a constant factor to move from one term to the next. It's like growing your savings by a fixed percentage each period - watch the numbers soar! Understanding this pattern gives you superpowers in exponential growth problems. Recognizing Common Number Patterns
  3. Square Number Patterns - Square patterns come from squaring whole numbers: 1², 2², 3², and so on. Imagine arranging dots into perfect squares on graph paper - it's both visual and satisfying! Recognizing these helps you tackle area-based problems with flair. Recognizing Common Number Patterns
  4. Cube Number Patterns - Cubes are all about raising numbers to the third power: 1³, 2³, 3³… Picture stacking blocks into perfect cubes, and you've got it! This pattern shines when you're dealing with volume or 3D geometry puzzles. Recognizing Common Number Patterns
  5. Rule-Finding Practice - To get really good, analyze how each term relates to the next - like spotting "multiply by 2" in 5, 10, 20, 40. This detective work trains your brain to see hidden rules in any list of numbers. The more you practice, the quicker you'll decode those sequences. Number Patterns - Math Steps, Examples & Questions
  6. Input/Output Tables - These tables map every "in" number to its "out" result, making functions and patterns crystal clear. It's like having a cheat sheet that shows exactly how each number transforms step by step. Use them to visualize and verify any rule you propose! Number Patterns - Math Steps, Examples & Questions
  7. Real‑Life Patterns - Patterns aren't just in textbooks - they're in house numbers, seating charts, and even music beats! Spotting these everyday sequences sharpens your practical maths skills and keeps learning fun. Plus, it means you can brag about using maths in the real world. Problem Solving: Number Patterns
  8. Why Patterns Matter - Patterns form the backbone of algebra and higher‑level problem solving. By understanding them, you build a toolkit that makes complex equations feel like child's play. Think of pattern‑spotting as your secret weapon in any maths battle! Problem Solving: Number Patterns
  9. Worksheet Workouts - Regular practice with targeted worksheets cements your pattern‑recognition skills. It's like reps at the gym but for your brain - each exercise makes you stronger! Commit to a few problems daily and watch your confidence skyrocket. Number Pattern Worksheets
  10. Pattern Mastery - Never forget that spotting and understanding patterns is a lifelong superpower in mathematics. Whether you're tackling algebra, geometry, or beyond, this skill will always come to your rescue. Keep honing it, and no problem will ever stand in your way! Number Patterns - SAS
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