Missing Sequence Terms
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ISEE Middle Level: Quantitative Reasoning › Missing Sequence Terms
Fill in the blank: 6, 10, 14, __, 22.
16
17
18
20
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of adding 4 to the previous term. The correct answer, 18, works because it follows the pattern, ensuring sequential consistency by adding 4 to 14 and leading to 22 by adding another 4. A common distractor might suggest 16, which fails because it assumes a different difference like +2 from 14, breaking the consistent +4 pattern. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Which number completes: 20, 17, 14, __, 8?
9
10
11
12
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of subtracting 3 from the previous term. The correct answer, 11, works because it follows the pattern, ensuring sequential consistency by subtracting 3 from 14 and leading to 8 by subtracting another 3. A common distractor might suggest 10, which fails because it assumes a subtraction of 4 instead of 3. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Complete the sequence: 100, 50, 25, __, $\tfrac{25}{4}$.
10
12.5
15
20
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of dividing by 2. The correct answer, 12.5, works because it follows the pattern, ensuring sequential consistency by dividing 25 by 2 and leading to 25/4 by dividing again by 2. A common distractor might suggest 10, which fails because it assumes subtraction instead of division. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Complete the sequence: 30, 25, 20, __, 10.
12
13
14
15
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of subtracting 5 from the previous term. The correct answer, 15, works because it follows the pattern, ensuring sequential consistency by subtracting 5 from 20 and leading to 10 by subtracting another 5. A common distractor might suggest 12, which fails because it assumes a subtraction of 8 instead of 5. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Fill in the blank: 50, 45, 40, __, 30.
34
35
36
37
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of subtracting 5 from the previous term. The correct answer, 35, works because it follows the pattern, ensuring sequential consistency by subtracting 5 from 40 and leading to 30 by subtracting another 5. A common distractor might suggest 34, which fails because it assumes a subtraction of 6 instead of 5. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Fill in the blank: 1, 4, 16, __, 256.
48
64
96
128
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of multiplying by 4. The correct answer, 64, works because it follows the pattern, ensuring sequential consistency by multiplying 16 by 4 and leading to 256 by multiplying again by 4. A common distractor might suggest 48, which fails because it assumes multiplication by 3. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Identify the missing term: 2, 3, 5, 8, __, 21.
11
12
13
14
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of adding the two previous terms, like the Fibonacci sequence starting with 2 and 3. The correct answer, 13, works because it follows the pattern, ensuring sequential consistency as 5 + 8 = 13 and then 8 + 13 = 21. A common distractor might suggest 11, which fails because it ignores the sum of the prior two terms. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Complete the sequence: 8, 4, 2, __, $\tfrac{1}{2}$.
2
1
$\tfrac{3}{2}$
$\tfrac{1}{4}$
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of dividing by 2. The correct answer, 1, works because it follows the pattern, ensuring sequential consistency by dividing 2 by 2 and leading to 1/2 by dividing again by 2. A common distractor might suggest 3/2, which fails because it assumes multiplication instead of division. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Complete the sequence: 2, 6, 18, __, 162.
36
48
54
72
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of multiplying by 3. The correct answer, 54, works because it follows the pattern, ensuring sequential consistency by multiplying 18 by 3 and leading to 162 by multiplying again by 3. A common distractor might suggest 36, which fails because it incorrectly assumes multiplication by 2. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.
Identify the missing term: 1, 1, 2, 3, __, 8.
4
5
6
7
Explanation
This question tests middle school quantitative reasoning skills, specifically finding a missing term in a sequence. Understanding sequences involves recognizing patterns such as arithmetic or geometric progressions. In this sequence, each term follows the rule of adding the two previous terms, like the Fibonacci sequence. The correct answer, 5, works because it follows the pattern, ensuring sequential consistency as 2 + 3 = 5 and then 3 + 5 = 8. A common distractor might suggest 4, which fails because it ignores the sum of the prior two terms. To improve, students should practice identifying sequence types and applying the correct operations, ensuring they double-check their calculations and rule applications.