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Amusements in Mathematics
Amusements in Mathematics

Chapter XV

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Context Illustration Reading 1/84 · 5 lines
English subtitles · tap any word to listen 1 / 5
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/
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A keeper or guardian of historical records and memories.

Amusements in Mathematics

Chapter XV

Reading 1/84 · 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

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

Could modal verb US /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.”

First noun US /first/

an important story-specific word used in this passage

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.”

GREAT noun US /great/

an important story-specific word used in this passage

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

Last noun US /last/

an important story-specific word used in this passage

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.”

Little noun US /little/

an important story-specific word used in this passage

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.”

Same noun US /same/

an important story-specific word used in this passage

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.”

Thought noun US /thought/

an important story-specific word used in this passage

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 is available to listen to. 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.

account

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

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.

acquired

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.

affair

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

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.

Andrew

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.

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.

Bob

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.

boys

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.

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.

concealed

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

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.

conditions

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.

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.

David

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.

Edgar

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.

end

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

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.

firstnounUS /first/

an important story-specific word used in this passage

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.

five

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.

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.

fraction

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.

fulfil

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.

GREATnounUS /great/

an important story-specific word used in this passage

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.

lastnounUS /last/

an important story-specific word used in this passage

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.

littlenounUS /little/

an important story-specific word used in this passage

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.

mean

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.

mentioned

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.

near

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

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.

number

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.

obtained

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.

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-eighth

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.

one-fifth

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

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.

only

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.

plums

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.

respectively

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.

samenounUS /same/

an important story-specific word used in this passage

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.

SCRAMBLE

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

From this reading 109.--THE GREAT SCRAMBLE.

seems

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

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.

show

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.

sight

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

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.

smallest

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.

sugar

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.

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.

There

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

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 /thought/

an important story-specific word used in this passage

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-quarters

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.

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.

trap

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

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.

upset

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

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.

whole

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

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.

words

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

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.