Sequences and patterns — ISEE Upper practice questions

37 questions on the paper
69 practice questions in the app
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Practice 69 Sequences and patterns questions in the app

What this topic is

Sequences and patterns on the ISEE Upper Quantitative Reasoning section covers finding a later term in a growing list, recognizing a shared operation between consecutive terms, and locating a position in a repeating cycle.

A student has to apply a constant change such as two extra seats in each following row, match another sequence that uses that same rule, and map a far later day onto a six-day weather order that repeats indefinitely.

Questions are short word problems whose choices are usually a single number, a rival sequence, or a weather label. Common traps are off-by-one row or day counts and confusing one term with a total.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

In an auditorium, the first row has 12 seats. Each row after the first has 2 more seats than the row before it. How many seats are in the 10th row?

26✗ Not this one28✗ Not this one30✓ Correct32✗ Not this one

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Answer: C — 30

From row 1 to row 10, there are 9 increases. Each increase adds 2 seats, so the 10th row has $12+9\times2=30$ seats.

Question 2Easier

A sequence begins $2,\ 8,\ 32,\ 128,\ \dots$ , with the same operation used to obtain each term from the preceding term. Which sequence uses that same operation between consecutive terms?

128,\ 32,\ 8,\ 2,\ \dots

✗ Not this one

3,\ 7,\ 11,\ 15,\ \dots

✗ Not this one

1,\ 4,\ 16,\ 64,\ \dots

✓ Correct

2,\ 6,\ 18,\ 54,\ \dots

✗ Not this one

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Answer: C — $1,\ 4,\ 16,\ 64,\ \dots$

Each term in the given sequence is found by multiplying the previous term by 4 ( $2\times4=8$ , $8\times4=32$ , $32\times4=128$ ). Only $1,\ 4,\ 16,\ 64,\dots$ is built by repeatedly multiplying by 4.

Question 3Easier

In a fictional town, the weather follows a strict 6-day repeating pattern, starting on Day 1: sunny, sunny, cloudy, rainy, cloudy, windy, and then the same six-day order repeats indefinitely. What is the weather on Day 50?

cloudy✗ Not this onesunny✓ Correctwindy✗ Not this onerainy✗ Not this one

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Answer: B — sunny

Dividing 50 by the cycle length 6 gives a remainder of 2 (since $48=6\times8$ ), so Day 50 has the same weather as Day 2, which is sunny.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 69 Sequences and patterns questions in the app

Sequences and patterns — ISEE Upper practice questions

What this topic is

Sample questions

More ISEE Upper topics

Quantitative Reasoning