SSAT Middle Level Quiz: Predicting Later Terms
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Predicting Later TermsQuestion 1 of 20

What comes next: 40, 35, 30, 25,  ?

15
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SSAT Middle Level Quiz

SSAT Middle Level Quiz: Predicting Later Terms

Practice Predicting Later Terms in SSAT Middle Level with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Predicting Later Terms, giving you a quick way to practice the rules, question types, and explanations that matter most for SSAT Middle Level.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

What comes next: 40, 35, 30, 25,  ?

  1. 15
  2. 18
  3. 20 (correct answer)
  4. 22
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves subtracting 5 from each term. Choice C is correct because it accurately follows the pattern of subtracting 5, as 25 - 5 = 20. Choice A is incorrect because it reflects a common error of subtracting 10, resulting in 15. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.

Question 2

The sequence 2, 6, 18, 54, 162, ... follows a pattern where each term after the first is obtained by multiplying the previous term by 3. What is the sum of the 7th and 8th terms?

  1. 3,888
  2. 4,374
  3. 5,103
  4. 5,832 (correct answer)
  5. 6,561
Explanation: This question tests your understanding of geometric sequences, where each term is found by multiplying the previous term by a constant ratio. When you see a sequence with a consistent multiplication pattern, you're dealing with exponential growth. To find the 7th and 8th terms, continue the pattern of multiplying by 3. Starting with the given sequence: 2, 6, 18, 54, 162... The 6th term: 162×3=486162 \times 3 = 486 The 7th term: 486×3=1,458486 \times 3 = 1,458 The 8th term: 1,458×3=4,3741,458 \times 3 = 4,374 Therefore, the sum of the 7th and 8th terms is 1,458+4,374=5,8321,458 + 4,374 = 5,832. Let's examine why the other answers are incorrect: Answer A (3,888) represents the sum if you stopped at the 6th and 7th terms: 486+1,458=1,944486 + 1,458 = 1,944. This doesn't match, so A likely comes from a different calculation error. Answer B (4,374) is just the 8th term alone, not the sum of both terms. This is a common trap where students find one correct value but forget to complete the full calculation. Answer C (5,103) doesn't correspond to any logical step in this sequence, suggesting an arithmetic error in the multiplication or addition process. Remember that geometric sequence problems often have trap answers that represent partial solutions or single terms rather than the requested sum or difference. Always double-check that you're answering exactly what the question asks for.

Question 3

A recursive sequence is defined by a₁ = 3 and aₙ = 2aₙ₋₁ + 1 for n ≥ 2. What is the value of a₆?

  1. 63
  2. 127 (correct answer)
  3. 191
  4. 255
  5. 383
Explanation: When you encounter a recursive sequence problem, you're dealing with a pattern where each term depends on the previous term(s). The key is to calculate each term step by step using the given formula. Starting with a1=3a_1 = 3 and the rule an=2an−1+1a_n = 2a_{n-1} + 1, let's find each term: a1=3a_1 = 3 a2=2(3)+1=7a_2 = 2(3) + 1 = 7 a3=2(7)+1=15a_3 = 2(7) + 1 = 15 a4=2(15)+1=31a_4 = 2(15) + 1 = 31 a5=2(31)+1=63a_5 = 2(31) + 1 = 63 a6=2(63)+1=127a_6 = 2(63) + 1 = 127 Therefore, a6=127a_6 = 127. Looking at the wrong answers: Choice (A) 63 is actually a5a_5, which you'd get if you miscounted and stopped one term too early. Choice (C) 191 might result from an arithmetic error, perhaps incorrectly calculating 2(63)+12(63) + 1 as 63+63+65=19163 + 63 + 65 = 191. Choice (D) 255 is 28−12^8 - 1, which could tempt students who notice the pattern resembles powers of 2 but incorrectly assume the sequence follows 2n−12^n - 1 without working through the actual recursive formula. The correct answer is (B) 127. Strategy tip: With recursive sequences, always work step by step rather than looking for shortcuts. Write out each term clearly to avoid miscounting, and double-check your arithmetic at each step since errors compound quickly in these problems.

Question 4

A sequence starts with 100 and each term is 80% of the previous term. Which term is the first to be less than 10?

  1. 8th
  2. 9th
  3. 10th
  4. 11th
  5. 12th (correct answer)
Explanation: When you encounter a geometric sequence problem like this, you're looking at repeated multiplication by the same factor. Here, each term equals the previous term times 0.8 (since 80% = 0.8). Let's calculate each term systematically:
  • 1st term: 100
  • 2nd term: 100×0.8=80100 \times 0.8 = 80
  • 3rd term: 80×0.8=6480 \times 0.8 = 64
  • 4th term: 64×0.8=51.264 \times 0.8 = 51.2
  • 5th term: 51.2×0.8=40.9651.2 \times 0.8 = 40.96
  • 6th term: 40.96×0.8=32.76840.96 \times 0.8 = 32.768
  • 7th term: 32.768×0.8=26.21432.768 \times 0.8 = 26.214
  • 8th term: 26.214×0.8=20.97126.214 \times 0.8 = 20.971
  • 9th term: 20.971×0.8=16.77720.971 \times 0.8 = 16.777
  • 10th term: 16.777×0.8=13.42216.777 \times 0.8 = 13.422
  • 11th term: 13.422×0.8=10.73813.422 \times 0.8 = 10.738
  • 12th term: 10.738×0.8=8.59010.738 \times 0.8 = 8.590
The 12th term (8.590) is the first to fall below 10. Choice (A) suggests the 8th term, but 20.971 > 10. Choice (B) points to the 9th term, but 16.777 > 10. Choice (C) indicates the 10th term, but 13.422 > 10. Choice (D) claims the 11th term, but 10.738 is still above 10, though close. Since none of the given options (8th through 11th) represent the correct answer of 12th term, the answer must be (E) - likely "none of the above" or similar. Strategy tip: In geometric decay problems, calculate systematically term by term rather than trying to estimate. The decay often takes longer than students initially expect.

Question 5

The sequence 1, 3, 7, 15, 31, ... follows the pattern aₙ = 2ⁿ - 1. What is the sum of the 6th and 7th terms?

  1. 189
  2. 190 (correct answer)
  3. 191
  4. 192
  5. 193
Explanation: When you encounter a sequence problem with a given formula, you need to substitute the position numbers into the formula to find the specific terms, then perform any requested operations. Given the formula an=2n−1a_n = 2^n - 1, let's find the 6th and 7th terms. For the 6th term: a6=26−1=64−1=63a_6 = 2^6 - 1 = 64 - 1 = 63. For the 7th term: a7=27−1=128−1=127a_7 = 2^7 - 1 = 128 - 1 = 127. Therefore, the sum is 63+127=19063 + 127 = 190. You can verify this makes sense by checking that our terms fit the given sequence. The first few terms using our formula are: a1=21−1=1a_1 = 2^1 - 1 = 1, a2=22−1=3a_2 = 2^2 - 1 = 3, a3=23−1=7a_3 = 2^3 - 1 = 7, which matches the sequence 1, 3, 7, 15, 31, ... perfectly. Looking at the wrong answers: (A) 189 is one less than the correct sum—this might result from a calculation error like 26=632^6 = 63 instead of 26=642^6 = 64, leading to a6=62a_6 = 62. (C) 191 is one more than correct, possibly from adding 1 instead of subtracting it in the formula. (D) 192 represents 26+27=64+1282^6 + 2^7 = 64 + 128, which comes from forgetting to subtract 1 from each term entirely. The key strategy here is to work carefully with exponents and follow the order of operations precisely. When you see sequence formulas involving powers of 2, double-check your exponent calculations since small errors compound quickly in the final answer.

Question 6

A pattern begins: 2, 5, 11, 23, 47, ... where each term is one less than double the previous term. How many terms are needed to first exceed 1000?

  1. 9
  2. 10 (correct answer)
  3. 11
  4. 12
  5. 13
Explanation: When you encounter a sequence pattern problem, your first step is identifying the rule and then systematically applying it until you reach the target value. Let's verify the given pattern: each term equals one less than double the previous term, or an+1=2an−1a_{n+1} = 2a_n - 1. Starting with 2: 2×2−1=32 \times 2 - 1 = 3... wait, that gives 3, not 5. Let me recheck the pattern from the sequence itself. Looking at the actual differences: 5=2×2+15 = 2 \times 2 + 1, 11=2×5+111 = 2 \times 5 + 1, 23=2×11+123 = 2 \times 11 + 1. The pattern is actually an+1=2an+1a_{n+1} = 2a_n + 1 (one MORE than double the previous term). Now let's continue the sequence:
  • Term 1: 2
  • Term 2: 5
  • Term 3: 11
  • Term 4: 23
  • Term 5: 47
  • Term 6: 2(47)+1=952(47) + 1 = 95
  • Term 7: 2(95)+1=1912(95) + 1 = 191
  • Term 8: 2(191)+1=3832(191) + 1 = 383
  • Term 9: 2(383)+1=7672(383) + 1 = 767
  • Term 10: 2(767)+1=15352(767) + 1 = 1535
The 10th term (1535) is the first to exceed 1000, making (B) 10 correct. (A) 9 gives us 767, which is still under 1000. (C) 11 and (D) 12 are too high because we already exceeded 1000 at the 10th term. Study tip: Always double-check the stated pattern against the given terms before proceeding. Pattern problems often contain subtle wording that can lead you astray if you don't verify first.

Question 7

The first term of a sequence is 3. Each subsequent term is the sum of all previous terms. What is the 6th term?

  1. 48 (correct answer)
  2. 96
  3. 144
  4. 192
  5. 384
Explanation: This question tests your understanding of sequences where each term depends on all previous terms. When you see "each subsequent term is the sum of all previous terms," you need to build the sequence step by step, carefully tracking what "all previous terms" means at each stage. Let's construct the sequence systematically. The first term is given as 3. For the second term, we sum all previous terms (just the first term): 3=33 = 3. For the third term, we sum the first and second terms: 3+3=63 + 3 = 6. For the fourth term, we sum the first three terms: 3+3+6=123 + 3 + 6 = 12. For the fifth term, we sum the first four terms: 3+3+6+12=243 + 3 + 6 + 12 = 24. For the sixth term, we sum all five previous terms: 3+3+6+12+24=483 + 3 + 6 + 12 + 24 = 48. Choice A (48) is correct as we just calculated. Choice B (96) represents doubling the correct answer, which might result from mistakenly thinking each term doubles the previous term. Choice C (144) is three times the correct answer, possibly from confusing this with a different pattern. Choice D (192) is four times the correct answer, likely from misunderstanding the sequence rule entirely. The key strategy here is patience and organization. Write out each term clearly, showing your work for the sum at each step. Don't try to find shortcuts with unfamiliar sequences—the step-by-step approach prevents calculation errors and helps you see the pattern clearly.

Question 8

In the pattern 1, 4, 9, 16, 25, 36, ..., what is the difference between the 15th and 12th terms?

  1. 81 (correct answer)
  2. 84
  3. 87
  4. 90
  5. 93
Explanation: When you see a sequence like 1, 4, 9, 16, 25, 36, you should recognize this as the pattern of perfect squares: 12,22,32,42,52,62,...1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ... This means the nnth term equals n2n^2. To find the difference between the 15th and 12th terms, you need to calculate each term using this pattern. The 15th term is 152=22515^2 = 225, and the 12th term is 122=14412^2 = 144. The difference is 225−144=81225 - 144 = 81. Looking at the wrong answers: Choice B (84) might result from miscalculating one of the squares or making an arithmetic error in the subtraction. Choice C (87) could come from confusing this with an arithmetic sequence and trying to use a constant difference approach. Choice D (90) might result from errors in squaring the numbers, perhaps calculating 15215^2 as 240 instead of 225. The correct answer is A: 81. Here's a helpful strategy for perfect square sequences: Instead of calculating each term separately, you can use the algebraic identity (a2−b2)=(a+b)(a−b)(a^2 - b^2) = (a+b)(a-b). For this problem, 152−122=(15+12)(15−12)=27×3=8115^2 - 12^2 = (15+12)(15-12) = 27 \times 3 = 81. This shortcut is faster and reduces calculation errors. Always look for patterns in sequences—recognizing perfect squares, arithmetic progressions, or geometric sequences will save you time and help you avoid computational mistakes.

Question 9

In the sequence 7, 11, 19, 35, 67, ..., each term after the first is obtained by doubling the previous term and subtracting 3. What is the 8th term?

  1. 515 (correct answer)
  2. 523
  3. 531
  4. 539
  5. 547
Explanation: When you encounter a sequence problem like this, your first step is to understand the pattern rule and then systematically apply it to find the requested term. The rule states that each term equals the previous term doubled, minus 3. Let's verify this pattern and continue it:
  • 1st term: 7
  • 2nd term: 7 × 2 - 3 = 14 - 3 = 11 ✓
  • 3rd term: 11 × 2 - 3 = 22 - 3 = 19 ✓
  • 4th term: 19 × 2 - 3 = 38 - 3 = 35 ✓
  • 5th term: 35 × 2 - 3 = 70 - 3 = 67 ✓
Now continue to the 8th term:
  • 6th term: 67 × 2 - 3 = 134 - 3 = 131
  • 7th term: 131 × 2 - 3 = 262 - 3 = 259
  • 8th term: 259 × 2 - 3 = 518 - 3 = 515
The answer is A) 515. The wrong answers likely result from calculation errors at different steps. B) 523 might come from adding 3 instead of subtracting it in the final step (518 + 3 + 2). C) 531 and D) 539 represent other arithmetic mistakes, possibly from errors in the doubling process or mixing up the operation sequence. Strategy tip: In sequence problems, always verify the given pattern with the provided terms first, then work step-by-step without skipping. Double-check your arithmetic at each step, as small errors compound quickly in recursive sequences.

Question 10

The sequence 10, 7, 4, 1, -2, -5, ... is arithmetic. What is the first negative term?

  1. -2 (correct answer)
  2. -5
  3. -8
  4. -11
  5. -14
Explanation: When you encounter an arithmetic sequence, you're looking at a pattern where each term differs from the previous one by the same constant amount, called the common difference. To find the common difference in this sequence, subtract any term from the next term: 7−10=−37 - 10 = -3, or 4−7=−34 - 7 = -3. The common difference is -3, meaning each term decreases by 3. Starting from 10 and repeatedly subtracting 3: 10, 7, 4, 1, -2, -5... You can see that -2 is indeed the first term that becomes negative. Let's examine why the other answers are incorrect. Choice B (-5) is the second negative term, not the first. Choice C (-8) would be the next term after -5 in the sequence, making it the third negative term. Choice D (-11) would come even later as the fourth negative term. You might be tempted by these later negative terms if you miscounted or started your sequence incorrectly. The key trap here is not carefully tracking which negative term appears first in the sequence. You could also solve this algebraically. The general term is an=10+(n−1)(−3)=13−3na_n = 10 + (n-1)(-3) = 13 - 3n. For the first negative term, you need 13−3n<013 - 3n < 0, which gives n>4.33n > 4.33. So n=5n = 5 gives the first negative term: a5=13−3(5)=−2a_5 = 13 - 3(5) = -2. Remember: with arithmetic sequences, always identify the common difference first, then systematically work through the terms rather than jumping ahead.

Question 11

In the sequence 1, 1, 2, 3, 5, 8, 13, 21, ..., each term after the first two is the sum of the two preceding terms. What is the 12th term?

  1. 89
  2. 144 (correct answer)
  3. 233
  4. 377
  5. 610
Explanation: This question tests your understanding of the Fibonacci sequence, a famous mathematical pattern where each term equals the sum of the two terms before it. When you see a sequence that starts 1, 1, 2, 3, 5, 8..., you're looking at this specific pattern. To find the 12th term, you need to continue the sequence systematically. Starting with the given terms: 1, 1, 2, 3, 5, 8, 13, 21, you can calculate each subsequent term by adding the previous two. The 9th term: 13+21=3413 + 21 = 34 The 10th term: 21+34=5521 + 34 = 55 The 11th term: 34+55=8934 + 55 = 89 The 12th term: 55+89=14455 + 89 = 144 Therefore, the 12th term is 144, which is answer choice B. Let's examine why the other answers are incorrect. Choice A (89) is actually the 11th term in the sequence - this represents the common error of miscounting your position in the sequence. Choice C (233) is the 13th term, showing what happens when you go one step too far. Choice D (377) is the 15th term, indicating a more significant counting error or calculation mistake. When working with sequences, always double-check your position by counting carefully from the beginning. Write out each term clearly and verify your arithmetic at each step. Fibonacci problems frequently appear on standardized tests, so practicing this systematic approach will serve you well.

Question 12

In a sequence, the first three terms are 2, 6, and 18. Each term after the first is obtained by multiplying the previous term by the same number and then adding the same constant. What is the 5th term?

  1. 126
  2. 134
  3. 142
  4. 162 (correct answer)
  5. 178
Explanation: When you encounter a sequence where each term follows the same rule involving multiplication and addition, you need to set up equations to find the pattern. Let's call the multiplier rr and the constant cc. Given the first three terms (2, 6, 18), you can write:
  • Second term: 2r+c=62r + c = 6
  • Third term: 6r+c=186r + c = 18
Subtracting the first equation from the second: 4r=124r = 12, so r=3r = 3. Substituting back: 2(3)+c=62(3) + c = 6, which gives c=0c = 0. This means each term is simply the previous term multiplied by 3. Let's verify: 2×3=62 × 3 = 6 and 6×3=186 × 3 = 18 ✓ Continuing the pattern:
  • 4th term: 18×3=5418 × 3 = 54
  • 5th term: 54×3=16254 × 3 = 162
Choice A (126) might result from incorrectly assuming the pattern is adding 4, then 12, then 36 (multiplying differences by 3). Choice B (134) could come from adding 72 to the third term instead of multiplying. Choice C (142) doesn't follow any clear mathematical relationship to the given terms. The correct answer is D (162). Study tip: When you see "multiply by the same number and add the same constant," always set up two equations using consecutive terms. If the constant turns out to be zero, you have a geometric sequence. If the multiplier is 1, you have an arithmetic sequence. This systematic approach prevents calculation errors.

Question 13

The differences between consecutive terms in a sequence are 3, 6, 12, 24, 48, ... If the first term is 5, what is the 6th term?

  1. 95
  2. 98 (correct answer)
  3. 101
  4. 104
  5. 107
Explanation: When you encounter a sequence problem where you're given differences between consecutive terms, you need to build the sequence step by step using those differences. Let's trace through this sequence starting with the first term of 5. The differences are 3, 6, 12, 24, 48, so:
  • 1st term: 5
  • 2nd term: 5 + 3 = 8
  • 3rd term: 8 + 6 = 14
  • 4th term: 14 + 12 = 26
  • 5th term: 26 + 24 = 50
  • 6th term: 50 + 48 = 98
Notice that the differences themselves form a pattern: each difference doubles the previous one (3, 6, 12, 24, 48...). Looking at the wrong answers: Choice A (95) results from miscalculating one of the additions along the way, likely getting 47 instead of 48 for the final difference. Choice C (101) comes from adding an extra 3 to the correct answer, perhaps by accidentally adding the first difference twice. Choice D (104) suggests adding 6 extra, possibly from confusion about which differences to use or adding one of the middle differences incorrectly. The correct answer is B (98). Study tip: For sequence problems involving differences, always write out each term systematically rather than trying to jump ahead. Double-check your arithmetic at each step, and look for patterns in the differences themselves—they often follow geometric or arithmetic progressions that can help you verify your work.

Question 14

The sequence 4, 12, 36, 108, ... represents the number of bacteria in a culture where the population triples every hour. After how many hours will the population first exceed 50,000?

  1. 7
  2. 8
  3. 9 (correct answer)
  4. 10
  5. 11
Explanation: This question tests your understanding of exponential growth patterns, which appear frequently when populations multiply by a constant factor over regular time intervals. Since the bacteria population triples every hour, you can express the population after nn hours as 4×3n4 \times 3^n. The initial population is 4, and it gets multiplied by 3 for each hour that passes. You need to find the smallest value of nn where 4×3n>50,0004 \times 3^n > 50,000. Let's calculate systematically: After 7 hours, the population is 4×37=4×2,187=8,7484 \times 3^7 = 4 \times 2,187 = 8,748. After 8 hours: 4×38=4×6,561=26,2444 \times 3^8 = 4 \times 6,561 = 26,244. After 9 hours: 4×39=4×19,683=78,7324 \times 3^9 = 4 \times 19,683 = 78,732. Since 78,732 exceeds 50,000, the answer is 9 hours. Choice (A) is incorrect because after 7 hours, the population is only 8,748, which is far below 50,000. Choice (B) is wrong because after 8 hours, the population reaches 26,244, still under the threshold. Choice (D) represents unnecessary waiting—while the population after 10 hours would certainly exceed 50,000, the question asks when it will first exceed this amount. When working with exponential growth problems, remember to calculate step-by-step rather than trying to solve algebraically, especially when dealing with powers of 3. The calculations are manageable, and this approach helps you avoid errors with logarithms or estimation mistakes.

Question 15

The sequence 5, 8, 14, 26, 50, ... follows the pattern where each term is twice the previous term plus a constant. What constant is added each time?

  1. -2 (correct answer)
  2. -1
  3. 0
  4. 2
  5. 4
Explanation: When you encounter a sequence problem describing a specific pattern, your first step is to test that pattern against the given terms to find any missing information. The problem states each term equals twice the previous term plus a constant. Let's call this constant cc and test it: Starting with 5, the next term should be 2(5)+c=10+c2(5) + c = 10 + c. Since the second term is 8, we have: 10+c=810 + c = 8 c=−2c = -2 Let's verify this works for the entire sequence:
  • 2(5)+(−2)=10−2=82(5) + (-2) = 10 - 2 = 8 ✓
  • 2(8)+(−2)=16−2=142(8) + (-2) = 16 - 2 = 14 ✓
  • 2(14)+(−2)=28−2=262(14) + (-2) = 28 - 2 = 26 ✓
  • 2(26)+(−2)=52−2=502(26) + (-2) = 52 - 2 = 50 ✓
The constant is -2, making A correct. Looking at the wrong answers: B) -1 would give us 2(5)−1=92(5) - 1 = 9, not 8. C) 0 would mean each term simply doubles the previous one, giving us 2(5)=102(5) = 10, not 8. D) 2 would give us 2(5)+2=122(5) + 2 = 12, also not 8. The key strategy here is to use the first two terms to determine the unknown constant, then verify your answer works for the remaining terms. Don't assume the constant is positive just because the sequence is increasing—the doubling effect can still create growth even when you're subtracting a small constant each time.

Question 16

What comes next: 5, 15, 45, 135,  ?

  1. 270
  2. 360
  3. 405 (correct answer)
  4. 540
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves multiplying by 3 each time. Choice C is correct because it accurately follows the pattern of multiplying by 3, as 135 × 3 = 405. Choice A is incorrect because it reflects a common error of multiplying by 2, resulting in 270. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.

Question 17

Complete the sequence: 7, 10, 13, 16,  .

  1. 18
  2. 19 (correct answer)
  3. 20
  4. 22
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves adding 3 to each term to get the next. Choice B is correct because it accurately follows the pattern of adding 3, as 16 + 3 = 19. Choice A is incorrect because it reflects a common error of adding 2 instead of 3, resulting in 18. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.

Question 18

Complete the sequence: 1, 4, 7, 10,  .

  1. 12
  2. 13 (correct answer)
  3. 14
  4. 15
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves adding 3 to each term. Choice B is correct because it accurately follows the pattern of adding 3, as 10 + 3 = 13. Choice A is incorrect because it reflects a common error of adding 2, resulting in 12. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.

Question 19

Complete the sequence: 8, 16, 32, 64,  ?

  1. 96
  2. 112
  3. 120
  4. 128 (correct answer)
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves multiplying by 2 each time. Choice D is correct because it accurately follows the pattern of multiplying by 2, as 64 × 2 = 128. Choice A is incorrect because it reflects a common error of adding 32 instead, resulting in 96. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.

Question 20

Complete the sequence: 4, 8, 12, 16,  .

  1. 18
  2. 19
  3. 20 (correct answer)
  4. 24
Explanation: This question tests SSAT Middle Level pattern reasoning skills by predicting terms in a sequence. Understanding patterns involves recognizing arithmetic, geometric, or symbolic sequences where terms follow a specific rule. In this sequence, the rule involves adding 4 to each term. Choice C is correct because it accurately follows the pattern of adding 4, as 16 + 4 = 20. Choice A is incorrect because it reflects a common error of adding 2, resulting in 18. Teaching strategies include practicing with different types of sequences, encouraging students to verbalize the pattern rule, and using visual aids for shape patterns.