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Input-Output - Expert Level: mathematical operations EXPERT

Comprehensive self assessment worksheet covering 20 expert-level input-output problems. Worksheet 28 of 30 emphasizes mathematical operations. Master input manipulation, operation sequences, logical machines through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Input-Output
Worksheet 28 of 30 (93% complete)

Question 1

Rule: number to word length - Replace each word with its length Example: a an the → 1 2 3 Input: hello world python Output: ?
Following the 'number to word length' rule: hello world python → 5 5 6
stepwise, classic, transformation

Question 2

Input: 6 9 12 What is the next number in the sequence?
Each number increases by 3: 6 9 12 → 15
pattern, sequence, completion

Question 3

Rule: shift letters +2 - Shift each letter forward by 2 positions (wrap around) Example: abc xyz → cde zab Input: hello world Output: ?
Following the 'shift letters +2' rule: hello world → jgnnq yqtnf
stepwise, classic, transformation

Question 4

Input Matrix: 68 52 86 78 26 28 Apply transformation: transpose What is the output?
Matrix transposition (rows become columns, columns become rows)
68 52 86
78 26 28 → 68 78
52 26
86 28
matrix, grid, transformation, spatial

Question 5

Rule: remove vowels - Remove all vowels (a, e, i, o, u) from each word Example: simple text here → smpl txt hr Input: great work done Output: ?
Following the 'remove vowels' rule: great work done → grt wrk dn
stepwise, classic, transformation

Question 6

Input Matrix: 57 72 27 16 7 83 34 78 42 47 51 17 Apply transformation: diagonal_sum What is the output?
Sum of each diagonal (top-left to bottom-right)
57 72 27 16
7 83 34 78
42 47 51 17 → 57 79 152 97 129 17
matrix, grid, transformation, spatial

Question 7

Input: 66 92 17 75 Coding Scheme: 0→+, 1→-, 2→=, 3→/, 4→\, ... Rule: Replace each digit with its corresponding symbol Output: ?
Each digit replaced by its symbol: 66 92 17 75 → (( ]= -) )|
symbol, coding, substitution

Question 8

Input: dog 19 fig apple 31 42 bat cat Step 1: Sort - numbers (ascending) first, then words (alphabetical) What is Step 1 output?
All numbers (sorted ascending) placed before all words (sorted alphabetically): 19 31 42 apple bat cat dog fig
logic, chaining, multi-step

Question 9

Input: 12 22 82 85 Coding Scheme: 0→!, 1→?, 2→~, 3→^, 4→&, ... Rule: Replace each digit with its corresponding symbol Output: ?
Each digit replaced by its symbol: 12 22 82 85 → ?~ ~~ $~ $*
symbol, coding, substitution

Question 10

Input: 2 4 8 What is the next number in the sequence?
Each number is double the previous: 2 4 8 → 16
pattern, sequence, completion

Question 11

Input: BRAIN Step 1 (swapcase): brain What is the final output after all 2 transformations?
Applied swapcase, uppercase sequentially: BRAIN → BRAIN
function, composition, chaining

Question 12

Input: HELLO Step 1 (double_letters): HHEELLLLOO Step 2 (shift-1): GGDDKKKKNN What is the final output after all 3 transformations?
Applied double_letters, shift-1, reverse sequentially: HELLO → NNKKKKDDGG
function, composition, chaining

Question 13

Input: 91 10 11 59 Coding Scheme: 0→@, 1→#, 2→$, 3→%, 4→&, ... Rule: Replace each digit with its corresponding symbol Output: ?
Each digit replaced by its symbol: 91 10 11 59 → ^# #@ ## *^
symbol, coding, substitution

Question 14

Input: 63 tulip rose 84 orchid sunflower 90 45 Step 1: Sort numbers ascending, then words alphabetically What is Step 1 output?
All numbers moved to left (sorted ascending), then words sorted alphabetically: 45 63 84 90 orchid rose sunflower tulip
sorting, word/number, multi-stage

Question 15

Input: 2 5 8 What is the next number in the sequence?
Each number increases by 3: 2 5 8 → 11
pattern, sequence, completion

Question 16

Input: grape 18 plum 29 orange Apply conditional rules based on item type and properties Output: ?
Applied specific rules to each element based on its type and characteristics: Grape 2 qmun 4 osaohe
coding, conditional, rules

Question 17

Word: LOGIC Step 1: Shift each letter +2 → NQIKE Step 2: Product of positions Find Step 2.
Product of alphabetical positions: LOGIC → 34020
alpha-coding, decoding, positions

Question 18

Input: 19 dog 42 fig cat bat 31 apple Step 1: 19 31 42 apple bat cat dog fig Step 2: 38 62 84 APPLE BAT CAT DOG FIG Step 3: 43 67 89 *PPLE B*T C*T DOG FIG Step 4: Reverse every alternate word (1st, 3rd, 5th...) What is Step 4 output?
From Step 3, reverse every other word: 34 67 98 *PPLE T*B C*T GOD FIG
logic, chaining, multi-step

Question 19

Input: 28 32 daisy lily sunflower 17 jasmine 45 Step 1: 17 28 32 45 daisy jasmine lily sunflower Step 2: Alternate elements reversed (positions 2,4,6...) What is Step 2 output?
From Step 1, reverse every second element: 17 82 32 54 daisy enimsaj lily rewolfnus
sorting, word/number, multi-stage

Question 20

Word: CLEVER Step 1: Shift each letter +2 → ENGXGT Step 2: Product of positions Find Step 2.
Product of alphabetical positions: CLEVER → 356400
alpha-coding, decoding, positions
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