All questions
Question 1
What number completes the sequence: 1 4 7 10 __?
- 12
- 14
- 13 (correct answer)
- 11
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of adding 3 to each term. The correct answer is 13 because it continues the pattern of adding 3: 10 + 3 = 13. Choice 12 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding 2 instead of 3. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 2
What number completes the sequence: 8 12 16 20 __?
- 21
- 24 (correct answer)
- 20
- 28
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of adding 4 to each term (8+4=12, 12+4=16, 16+4=20). The correct answer is 24 because it continues the pattern of adding 4 to the previous term (20+4=24). Choice A (21) is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding only 1 instead of 4. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 3
What number completes the sequence: 4 8 12 16 __?
- 18
- 20 (correct answer)
- 24
- 19
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of adding 4 to each term. The correct answer is 20 because it continues the pattern of adding 4: 16 + 4 = 20. Choice 18 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding 2 instead of 4. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 4
Fill in the blank to continue the sequence: 25 20 25 20 __.
- 15
- 20
- 25 (correct answer)
- 30
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of alternating between 25 and 20. The correct answer is 25 because it continues the pattern of alternating: after 20 comes 25. Choice 15 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of subtracting further. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 5
Identify the missing term in the series: 4 12 36 __.
- 72
- 48
- 108 (correct answer)
- 36
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of multiplying by 3 each time. The correct answer is 108 because it continues the pattern of multiplying by 3: 36 × 3 = 108. Choice 72 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of multiplying by 2 instead of 3. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 6
Identify the missing term in the series: 3 6 12 __.
- 18
- 24 (correct answer)
- 15
- 12
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of multiplying by 2 each time. The correct answer is 24 because it continues the pattern of multiplying by 2: 12 × 2 = 24. Choice 18 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding instead of multiplying. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 7
What comes next in the pattern: 40 35 40 35 __?
- 30
- 40 (correct answer)
- 45
- 35
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of alternating between 40 and 35. The correct answer is 40 because it continues the pattern of alternating: after 35 comes 40. Choice 45 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding instead of alternating. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 8
What number completes the sequence: 9 13 17 21 __?
- 24
- 25 (correct answer)
- 26
- 29
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of adding 4 to each term (9+4=13, 13+4=17, 17+4=21). The correct answer is 25 because it continues the pattern of adding 4 to the previous term (21+4=25). Choice A (24) is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding only 3 instead of 4. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 9
Identify the missing term in the series: 4 8 16 __.
- 20
- 24
- 28
- 32 (correct answer)
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of doubling each term (4×2=8, 8×2=16). The correct answer is 32 because it continues the pattern of multiplying by 2 (16×2=32). Choice C (28) is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding instead of multiplying. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 10
A sequence of numbers is formed using the rule 'multiply the position number by 4, then subtract 1.' The first number is in position 1, the second is in position 2, and so on. What is the fifth number in this sequence?
- 16
- 19 (correct answer)
- 20
- 21
Explanation: To find the fifth number, use 5 as the position number in the rule. First, multiply the position number by 4: 5×4=20. Then, subtract 1: 20−1=19. The fifth number in the sequence is 19. Question 11
A pattern of numbers is shown: 5, 8, 12, 17, ... If the pattern continues by adding a greater whole number each time, what is the next number?
- 21
- 22
- 23 (correct answer)
- 24
Explanation: The pattern is to add a number that increases by 1 each time. From 5 to 8, you add 3. From 8 to 12, you add 4. From 12 to 17, you add 5. The next step is to add 6. So, 17+6=23. Question 12
The first number in a sequence is 2. Each number after the first is found by multiplying the previous number by 2 and then adding 1. The sequence starts: 2, 5, 11, 23, ... What is the fifth number in the sequence?
- 45
- 46
- 47 (correct answer)
- 48
Explanation: The rule is to multiply by 2, then add 1. The fourth number is 23. To find the fifth number, apply the rule to 23: (23×2)+1=46+1=47. Question 13
The following sequence multiplies by the same whole number to get from one term to the next: 4, 8, , 32, 64, . What is the sum of the two missing numbers in the sequence?
- 132
- 140
- 144 (correct answer)
- 160
Explanation: First, find the rule. To get from 4 to 8, you multiply by 2. Let's check: 8×2=16 and 16×2=32. The rule is 'multiply by 2'. The first missing number is 16. The second missing number comes after 64: 64×2=128. The sum of the two missing numbers is 16+128=144. Question 14
A sequence of numbers is created so that each number is the sum of the two numbers before it. The sequence starts with 1, 4, 5, 9, 14, ... What is the next number in this sequence?
- 19
- 23 (correct answer)
- 28
- 37
Explanation: The rule is to add the two previous numbers to get the next one. The last two numbers given are 9 and 14. To find the next number, add them together: 9+14=23. Question 15
What number completes the sequence: 6 12 9 18 __?
- 27
- 15 (correct answer)
- 12
- 21
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows an alternating pattern: multiply by 2, then subtract 3 (6×2=12, 12-3=9, 9×2=18). The correct answer is 15 because it continues the pattern by subtracting 3 from the previous term (18-3=15). Choice A (27) is incorrect because it fails to apply the pattern consistently and demonstrates a common error of continuing to multiply instead of alternating operations. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences and look for alternating patterns.
Question 16
Fill in the blank to continue the sequence: 3 8 13 18 __.
- 22
- 23 (correct answer)
- 24
- 21
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of adding 5 to each term. The correct answer is 23 because it continues the pattern of adding 5: 18 + 5 = 23. Choice 22 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding 4 instead of 5. To help students: Practice recognizing arithmetic and geometric patterns. Use number lines to visualize basic sequences.
Question 17
Fill in the blank to continue the sequence: 2 4 7 11 __.
- 14
- 15
- 16 (correct answer)
- 18
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern where the difference between consecutive terms increases by 1 each time (4-2=2, 7-4=3, 11-7=4). The correct answer is 16 because it continues the pattern by adding 5 to the previous term (11+5=16). Choice A (14) is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding only 3 instead of recognizing the increasing differences. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts to identify changing patterns.
Question 18
What comes next in the pattern: 18 12 20 14 __?
- 22 (correct answer)
- 16
- 21
- 15
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of alternating subtracting 6 and adding 8. The correct answer is 22 because it continues the pattern of adding 8 after subtracting 6: 14 + 8 = 22. Choice 21 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding 7 instead of 8. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 19
What comes next in the pattern: 7 12 10 15 __?
- 17
- 13 (correct answer)
- 12
- 11
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of alternating adding 5 and subtracting 2. The correct answer is 13 because it continues the pattern of subtracting 2 after adding 5: 15 - 2 = 13. Choice 17 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of adding 2 instead of subtracting. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.
Question 20
Identify the missing term in the series: 2 6 18 __.
- 36
- 54 (correct answer)
- 24
- 18
Explanation: This question tests ISEE Lower Level quantitative reasoning skills: finding a missing term in a sequence. Understanding sequences involves identifying the pattern that determines each term. In this question, the sequence follows a pattern of multiplying by 3 each time. The correct answer is 54 because it continues the pattern of multiplying by 3: 18 × 3 = 54. Choice 36 is incorrect because it fails to apply the pattern consistently and demonstrates a common error of multiplying by 2 instead of 3. To help students: Practice recognizing arithmetic and geometric patterns. Encourage breaking down sequences into smaller, manageable parts.