Open-ended - With worked solutions · SET 21

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Rearrange all the letters to make an English word. Ignore spaces; use each letter exactly as many times as it appears. Give the word, its meaning and a letter-count check.
AI reconstruction — response-format change: explain the full-word answer for self-review instead of entering a multi-letter response.

book .... time
Find a 4-letter English word to put after book and before time, forming two words or established expressions. Each dot represents one letter. Explain both results.
AI reconstruction: explain a full-word link for self-review; established multiword expressions are allowed, as in the worked example.

Find the missing central number in the right-hand shape. Give a rule consistent with both completed examples; short patterns are treated as checked references.

AI reconstruction: the response format is adapted to an explanation for self-review because the context-free words allow competing readings. All original English words are retained.
Find two English words with the same or nearly the same meaning.
1. tawdry; 2. stale; 3. old; 4. cheap; 5. plentiful; 6. poor. Explain the shared sense of your chosen pair. More than one pair may work in different senses; this task uses self-review.

Geoff is half the number of days in most Februarys. Kelly is the age Geoff would have been six years ago if Geoff were now a year older. Derek’s age is divisible by 7 and 3 and is less than Hans’s age. Hans is under 40; if 11 years younger, he would be 7 years older than Derek. Derek’s age is 7 times one third of Kelly’s age. Wolf’s age is four times one third of Derek’s. Find a. Geoff; b. Wolf; c. Hans; d. Kelly; e. Derek.

Decide T (necessarily follows) or F (not established); F does not automatically mean the opposite is proved. a. John hates football. All children in the playground play football except when it rains. None of the children play golf or basketball. All teachers play golf. John is a child. Therefore John plays football except when it rains, but not basketball. b. One hundred people ran a race. Everyone who finished received a medal. Anthea received no medal. Jane ran and received a medal. Philip did not run and received no medal. Therefore Anthea did not run. c. The pictured pyramid takes up half the volume of its rectangular block. For c, explicitly model the pyramid as having the entire bottom face as base and an apex on the top face.

Find the same opening letters for ___ry, ___nch, ___stion, ___ll. Explain the resulting English words. Here “prefix” means a shared initial string, not necessarily a grammatical morpheme.