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Amusements in Mathematics
Amusements in Mathematics

Chapter XXI

Cover illustration for Amusements in Mathematics
Context Illustration Reading 1/81 · 5 lines
English subtitles · tap any word to listen 1 / 5
On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.
Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.
In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.
Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.
371.--GOLD PACKING IN RUSSIA.
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LEARNER DICTIONARY
Archivist
/ˈɑːrkɪvɪst/
Editorial verification pending

A keeper or guardian of historical records and memories.

Amusements in Mathematics

Chapter XXI

Reading 1/81 · 5 reading units · Lines 1–5

Line 1
On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.
Line 2
Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.
Line 3
In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.
Line 4
Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.
Line 5
371.--GOLD PACKING IN RUSSIA.

Learner Dictionary

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

Above preposition US /əˈbʌv/

higher than, or over, something

From this reading “Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.”

Added noun US /added/

an important story-specific word used in this passage

From this reading “Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.”

Another noun US /ˈanother/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading “Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.”

Length noun US /leŋθ/

a period of time or extent

From this reading “In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.”

May modal verb US /meɪ/

used to say something is possible, or to give permission

From this reading “In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.”

All words in this reading · 62

Every word is available to listen to. Dictionary details are shown only when verified; these are not licensed Oxford entries.

1,226

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

10

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From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

12

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

13

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

14

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

15

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

22

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

24

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

371

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

From this reading 371.--GOLD PACKING IN RUSSIA.

4

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

5

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

6

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

7

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

78

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

8

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

85

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

9

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

adeterminerUS /ə/

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

AboveprepositionUS /əˈbʌv/

higher than, or over, something

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

addednounUS /added/

an important story-specific word used in this passage

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

all

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

alternate

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

alternately

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

andconjunctionUS /ənd/

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

anothernounUS /ˈanother/

a story-specific word describing an important person, object, action, or idea in this passage

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

arrange

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

balls

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

beauxiliary verbUS /biː/

used with a past participle to form the passive, or with -ing for continuous tenses

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

box

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

byprepositionUS /baɪ/

showing who or what does the action

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

canmodal verbUS /kæn/

to be able to, or to be allowed to

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

consisting

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

containing

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

contents

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

forprepositionUS /fɔːr/

intended to be given to, or used by, somebody

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

full

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

gives

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

GOLD

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

From this reading 371.--GOLD PACKING IN RUSSIA.

inprepositionUS /ɪn/

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

inches

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

layer

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

layers

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

lengthnounUS /leŋθ/

a period of time or extent

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

maymodal verbUS /meɪ/

used to say something is possible, or to give permission

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

ofprepositionUS /ʌv/

belonging to, or connected with, somebody or something

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

OnprepositionUS /ɑːn/

touching and supported by a surface

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

orconjunctionUS /ɔːr/

used to join alternatives or possibilities

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

packed

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

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

PACKING

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

From this reading 371.--GOLD PACKING IN RUSSIA.

place

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

rows

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

RUSSIA

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

From this reading 371.--GOLD PACKING IN RUSSIA.

side

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

suchdeterminerUS /sʌtʃ/

of the kind already mentioned

From this reading In the length of 24+9/10 inches 15 such layers may be packed, the alternate layers containing 85 and 78 balls.

thedeterminerUS /ðə/

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

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.

thisdeterminerUS /ðɪs/

used for a person or thing that is near, or that has just been mentioned

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

Thus

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

times

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

toparticleUS /tuː/

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

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

total

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

From this reading Above this we can place another layer consisting of 12 rows of 7 and 6 alternately, or a total of 78.

uspronounUS /ʌs/

the speaker and others, as the object of a verb or preposition

From this reading Thus 8 times 85 added to 7 times 78 gives us 1,226 for the full contents of the box.

wepronounUS /wiː/

the speaker together with one or more other people

From this reading On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing alternately 7 and 6 balls, or 85 in all.