Number Pattern Rules
Help Questions
ISEE Lower Level: Mathematics Achievement › Number Pattern Rules
Determine the next number: 4, 8, 16, 32, ?
36
48
64
96
Explanation
This question tests the ability to identify number pattern rules at the ISEE Lower Level. Understanding number patterns involves recognizing sequences that are governed by specific mathematical rules, such as arithmetic or geometric progressions. In this sequence, the numbers 4, 8, 16, 32 follow a pattern where each number is multiplied by 2 (4×2=8, 8×2=16, 16×2=32). Choice C (64) is correct because it accurately applies the rule of multiplying by 2, making the next number 32×2=64. Choice A (36) incorrectly adds 4 instead of multiplying, while choice D (96) multiplies by 3 instead of 2. To help students, teach them to recognize geometric sequences where each term is a constant multiple of the previous term and to double-check their calculations.
What operation moves 20, 16, 12, 8, 4?
Divide by 4 each time
Add 4 each time
Subtract 4 each time
Multiply by 4 each time
Explanation
This question tests the ability to identify number pattern rules at the ISEE Lower Level. Understanding number patterns involves recognizing sequences that are governed by specific mathematical rules, such as arithmetic or geometric progressions. In this sequence, the numbers 20, 16, 12, 8, 4 follow a pattern where each number decreases by 4 (20-4=16, 16-4=12, 12-4=8, 8-4=4). Choice B is correct because it accurately describes the rule of subtracting 4 each time. Choice A (Add 4) is incorrect because the sequence is decreasing, not increasing, a common error when students don't pay attention to the direction of change. To help students, teach them to notice whether sequences are increasing or decreasing and to verify that the operation produces each subsequent number in the sequence.
Determine the next number: 6, 10, 14, 18, ?
20
22
24
26
Explanation
This question tests the ability to identify number pattern rules at the ISEE Lower Level. Understanding number patterns involves recognizing sequences that are governed by specific mathematical rules, such as arithmetic or geometric progressions. In this sequence, the numbers 6, 10, 14, 18 follow a pattern where each number increases by 4 (6+4=10, 10+4=14, 14+4=18). Choice B (22) is correct because it accurately describes the rule of adding 4, making the next number 18+4=22. Choice A (20) is incorrect because it adds only 2 instead of 4, while choices C (24) and D (26) add too much. To help students, teach them to find the difference between consecutive terms and verify that this difference remains constant throughout the sequence.
What is the rule for 3, 6, 12, 24, 48?
Add 3 each time
Subtract 3 each time
Divide by 2 each time
Multiply by 2 each time
Explanation
This question tests the ability to identify number pattern rules at the ISEE Lower Level. Understanding number patterns involves recognizing sequences that are governed by specific mathematical rules, such as arithmetic or geometric progressions. In this sequence, the numbers 3, 6, 12, 24, 48 follow a pattern where each number is multiplied by 2 (3×2=6, 6×2=12, 12×2=24, 24×2=48). Choice B is correct because it accurately describes the rule of multiplying by 2 each time. Choice A (Add 3) is incorrect because the differences between consecutive terms are not constant (6-3=3, but 12-6=6), a common error when students only check the first difference. To help students, teach them to check if the ratio between consecutive terms is constant for multiplicative patterns and to verify the rule works for all given numbers.