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Amusements in Mathematics
Amusements in Mathematics

Chapter XV · Chapter 15

Chapter 15 of Amusements in Mathematics is here in full — 419 sentences across 84 reading sections, with audio for every sentence and word.

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Context Illustration Reading 1/83 · 5 lines
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109.--THE GREAT SCRAMBLE.
The smallest number of sugar plums that will fulfil the conditions is 26,880.
The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.
There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.
But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.
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LEARNER DICTIONARY
Archivist
/ˈɑːrkɪvɪst/
Editorial verification pending

A keeper or guardian of historical records and memories.

Amusements in Mathematics

Chapter XV · Chapter 15

Chapter 15 of Amusements in Mathematics is here in full — 419 sentences across 84 reading sections, with audio for every sentence and word.

Reading 1/83 · 5 reading units · Lines 1–5

Line 1
109.--THE GREAT SCRAMBLE.
Line 2
The smallest number of sugar plums that will fulfil the conditions is 26,880.
Line 3
The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.
Line 4
There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.
Line 5
But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

Learner Dictionary

These definitions explain words found in the current reading and keep every example grounded in its original sentence.

Oxford-style entry order: headword, part of speech, US IPA, concise definition, contextual example, and audio.

Edgar noun US /ˈedɡər/

the younger brother of Edwy who became king of Northumbria when it renounced Edwy; on Edwy's death he succeeded to the throne of England (944-975)

From this reading “The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.”

fraction noun US /ˈfrækʃən/

a component of a mixture that has been separated by a fractional process

From this reading “But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.”

fulfil verb US /fʊlˈfɪl/

put in effect

From this reading “The smallest number of sugar plums that will fulfil the conditions is 26,880.”

plums noun US /plʌmz/

plural of “plum” — any of several trees producing edible oval fruit having a smooth skin and a single hard stone

From this reading “The smallest number of sugar plums that will fulfil the conditions is 26,880.”

respectively adverb US /rɪˈspektɪvli/

in the order given

From this reading “The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.”

scramble verb US /ˈskræmbəl/

to move hurriedly

From this reading “109.--THE GREAT SCRAMBLE.”

smallest adjective US /ˈsmɔːləst/

superlative of “small” — limited or below average in number or quantity or magnitude or extent

From this reading “The smallest number of sugar plums that will fulfil the conditions is 26,880.”

three-quarters noun US /ˌθriːˈkwɔːrtərz/

three of four equal parts

From this reading “But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.”

All words in this reading · 64

Every word in these five lines is listed here, and every one of them can be played on its own.

Dictionary details are shown only when verified; these are not licensed Oxford entries.

10,294

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

109

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading 109.--THE GREAT SCRAMBLE.

2,438

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

2,863

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

26,880

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

4,950

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

6,335

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

adeterminerUS /ə/

used before a singular noun to mean one of a group, when it is not a particular one

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

accountnounUS /əˈkaʊnt/

a record or narrative description of past events

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

acquiredadjectiveUS /əˈkwaɪərd/

gotten through environmental forces

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

affairnounUS /əˈfer/

a vaguely specified concern

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

andconjunctionUS /ənd/

used to join words or parts of a sentence that go together

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

AndrewnounUS /ˈændruː/

(New Testament) disciple of Jesus; brother of Peter; patron saint of Scotland

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

atprepositionUS /æt/

in or near a particular place or position

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

BobverbUS /bɑːb/

move up and down repeatedly

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

boysnounUS /bɔɪz/

plural of “boy” — a youthful male person

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

ButconjunctionUS /bʌt/

used to introduce something that contrasts with what came before

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

Charlie

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

concealedadjectiveUS /kənˈsiːld/

not accessible to view

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

conditionsnounUS /kənˈdɪʃənz/

the prevailing context that influences the performance or the outcome of a process

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

couldmodal verbUS /kʊd/

the past of “can”; used for possibility or polite requests

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

DavidnounUS /ˈdeɪvɪd/

patron saint of Wales (circa 520-600)

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

EdgarnounUS /ˈedɡər/

the younger brother of Edwy who became king of Northumbria when it renounced Edwy; on Edwy's death he succeeded to the throne of England (944-975)

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

endnounUS /end/

either extremity of something that has length

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

firstadjectiveUS /fɜːrst/

preceding all others in time or space or degree

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

fivenounUS /faɪv/

the cardinal number that is the sum of four and one

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

five-eighths

Dictionary entry pending editorial verification. Tap Listen to hear the word.

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

fractionnounUS /ˈfrækʃən/

a component of a mixture that has been separated by a fractional process

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

fulfilverbUS /fʊlˈfɪl/

put in effect

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

GREATadjectiveUS /ɡreɪt/

relatively large in size or number or extent; larger than others of its kind

From this reading 109.--THE GREAT SCRAMBLE.

hadauxiliary verbUS /hæd/

the past form of “have”, used to form the past perfect

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

inprepositionUS /ɪn/

inside something, or within a place, period, or state

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

isauxiliary verbUS /ɪz/

the form of “be” used with he, she, it, or a singular noun

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

lastadjectiveUS /læst/

immediately past

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

littleadjectiveUS /ˈlɪtəl/

limited or below average in number or quantity or magnitude or extent

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

meanverbUS /miːn/

mean or intend to express or convey

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

mentionedverbUS /ˈmenʃənd/

past form of “mention” — make reference to

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

nearadverbUS /nɪr/

near in time or place or relationship

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

numbernounUS /ˈnʌmbər/

the property possessed by a sum or total or indefinite quantity of units or individuals

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

obtainedverbUS /əbˈteɪnd/

past form of “obtain” — come into possession of

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

ofprepositionUS /ʌv/

belonging to, or connected with, somebody or something

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

one-eighthnoun

one part in eight equal parts

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

one-fifthnoun

one part in five equal parts

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

onlyadverbUS /ˈoʊnli/

and nothing more

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

plumsnounUS /plʌmz/

plural of “plum” — any of several trees producing edible oval fruit having a smooth skin and a single hard stone

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

respectivelyadverbUS /rɪˈspektɪvli/

in the order given

From this reading The five boys obtained respectively: Andrew, 2,863; Bob, 6,335; Charlie, 2,438; David, 10,294; Edgar, 4,950.

sameadjectiveUS /seɪm/

Identical; not different.

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

SCRAMBLEverbUS /ˈskræmbəl/

to move hurriedly

From this reading 109.--THE GREAT SCRAMBLE.

seemsverbUS /siːmz/

third-person singular of “seem” — give a certain impression or have a certain outward aspect

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

showverbUS /ʃoʊ/

give an exhibition of to an interested audience

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

sightnounUS /saɪt/

an instance of visual perception

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

smallestadjectiveUS /ˈsmɔːləst/

superlative of “small” — limited or below average in number or quantity or magnitude or extent

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

sugarnounUS /ˈʃʊɡər/

a white crystalline carbohydrate used as a sweetener and preservative

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

thatconjunctionUS /ðæt/

used to introduce what somebody said, thought, or felt

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

THEdeterminerUS /ðə/

used before a noun that is already known, already mentioned, or the only one of its kind

From this reading 109.--THE GREAT SCRAMBLE.

ThereadverbUS /ðer/

in or at that place or location

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

thoughtnounUS /θɔːt/

the content of cognition; the main thing you are thinking about

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

three-quartersnounUS /ˌθriːˈkwɔːrtərz/

three of four equal parts

From this reading But a little thought will show that the words could only mean "one-fifth of five-eighths", the fraction last mentioned--that is, one-eighth of the three-quarters that Bob and Andrew had last acquired.

toparticleUS /tuː/

used before the base form of a verb to make the infinitive

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

trapnounUS /træp/

a device in which something (usually an animal) can be caught and penned

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

upsetverbUS /əpˈset/

disturb the balance or stability of

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

wholeadjectiveUS /hoʊl/

including all components without exception; being one unit or constituting the full amount or extent or duration; complete

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

willmodal verbUS /wɪl/

used to talk about the future, or about willingness

From this reading The smallest number of sugar plums that will fulfil the conditions is 26,880.

wordsnounUS /wɜːrdz/

the words that are spoken

From this reading There is a little trap concealed in the words near the end, "one-fifth of the same," that seems at first sight to upset the whole account of the affair.

Chapter 15 of Amusements in Mathematics by Henry Ernest Dudeney holds 419 sentences, grouped into 84 reading sections of at most 5 sentences. The text is the source edition, unabridged, and the chapter records which sentences cover which part of the work so that nothing is dropped. Every word can be tapped for its pronunciation and dictionary entry.

What does chapter 15 of Amusements in Mathematics contain?

Chapter 15 holds 419 sentences of Amusements in Mathematics, unabridged, divided into 84 reading sections.

This page carries chapter 15 of Amusements in Mathematics by Henry Ernest Dudeney exactly as it stands in the source edition, without abridgement. It runs to 419 sentences, grouped into 84 sections of at most 5 sentences so that a reader can take the chapter in steady, finishable pieces. The chapter also stores a coverage record mapping every one of its sentences to a part of the work, which is how the edition demonstrates that no line was dropped.

How do I study chapter 15 of Amusements in Mathematics?

Work through the 84 sections in order, replaying any sentence and tapping unfamiliar words for their entries.

Each of the 84 sections in this chapter is short enough to read once, hear once, and then re-read with the vocabulary in view. Tapping a word plays it alone and opens its dictionary entry with IPA, part of speech and meaning, so the reader is never forced to guess a pronunciation from spelling. Working section by section keeps a long chapter from becoming an undifferentiated wall of text, which is the usual reason a reader abandons a work of this period.

Can chapter 15 be read aloud to me?

Yes — every sentence and every individual word in chapter 15 can be played aloud in United States English.

Audio covers the whole chapter: any sentence can be played, and any single word within it can be played on its own. The voice uses United States English. For a work of this period that matters, because spelling is an unreliable guide to pronunciation for vocabulary that has fallen out of daily use, and a learner who guesses wrong tends to keep the error. Hearing the word in its own sentence, and then alone, settles it.

Questions about reading Amusements in Mathematics

Common questions about reading Amusements in Mathematics by Henry Ernest Dudeney on this page, its source edition and its audio.

Is this the complete text of Amusements in Mathematics?

Yes. All 8979 sentences of Project Gutenberg eBook #16713 are kept, with a record of which sentences cover which part.

Which edition of Amusements in Mathematics is used?

Project Gutenberg eBook #16713, unabridged. The Project Gutenberg header, footer and licence are removed.

How long does Amusements in Mathematics take to read?

About 600 minutes of reading across 1796 sections of 5 sentences each, at an unhurried pace.

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Vocabulary met early in Amusements in Mathematics

Words and structures a reader meets early in Amusements in Mathematics, each tappable for pronunciation and meaning.

Common
A word that appears in the opening chapter of Amusements in Mathematics; the reader can tap it to hear it and see its dictionary entry.
Units
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Penny
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Abbreviated
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