1 ESO - Unit 1- Exercises 1.2

1. UNIT 01 September
1.
a) In the Hindu-Arabic number system, 3 symbols are used to write the number 999.
How many Egyptian symbols are needed to write the Hindu-Arabic 999?
b) Write the Egyptian symbols for 728 and 234,124
2. Convert these symbols to Hindu-Arabic numerals:
a)
b)
3. Change the following Ancient Greek numerals into Hindu-Arabic numbers:
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2. UNIT 01 September
4. Write the following Hindu-Arabic numbers as Ancient Greek numerals:
a) 14
b) 31
c) 99
d) 555
e) 4,082
f) 5,601
5. What numbers are represented by the following symbols?
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3. UNIT 01 September
6. Write the following numbers in Roman numerals:
a) 18
b) 34
c) 279
d) 902
e) 1,046
f) 2,551
7.
a) Which Roman numeral less than one hundredis written using the greatest number
of symbols?
b) What is the highest Roman numeral betweenM and MM which uses the least
number of symbols?
c) Write the year 1999 using Roman symbols
8. Use Roman numerals to answer the following questions.
a) Each week Octavius sharpens CCCLIV swords for his general. How many will he
need to sharpen if the general doubles his order?
b) What would it cost Claudius to finish his courtyard if he needs to pay for CL pavers
at VIII denarii each and labour costs XCIV denarii?
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4. UNIT 01 September
9. Use Roman numerals to write:
a) your house number and postcode
b) your height in centimetres
c) your phone number
d) the number of students in your class
e) the width of your desk in centimetres
10. Use a calendar to help you write in Roman numerals your date of birth, for example
XXI-XI-MCMXLVI
11. Write these numbers using Mayan symbols:
a) 23
b) 50
c) 99
d) 105
e) 217
f) 303
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5. UNIT 01 September
12. Convert these Mayan symbols into Hindu-Arabic numbers:
13. What numbers are represented by these symbols?
14. Write these numbers using Chinese-Japanese symbols:
a) 497
b) 8,400
c) 1,111
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6. UNIT 01 September
15. Copy and complete:
16. What number is represented by the digit 8 in the following in the decimal system?
a) 38
b) 81
c) 458
d) 847
e) 1,981
f) 8,247
g) 2,861
h) 28,902
i) 60,008
j) 84,019
k) 78,794
l) 189,964
17. Write down the place value of the 3, the 5 and the 8 in each of the following:
a) 53,486
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7. UNIT 01 September
b) 3,580
c) 50,083
d) 805,340
18.
a) Use the digits 6, 4 and 8 once only to make the largest number you can.
b) Write the largest number you can using the digits 4, 1, 0, 7, 2 and 9 once only.
c) What is the largest 6 digit numeral you can write using each of the digits 2, 7 and 9
twice?
d) How many different numbers can you write using the digits 3, 4 and 5 once only?
19. Express the following in simplest form:
a) 𝟖𝟖 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟔𝟔 𝒙𝒙 𝟏𝟏
b) 𝟔𝟔 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟒𝟒 𝒙𝒙 𝟏𝟏
c) 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟔𝟔 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟖𝟖 𝒙𝒙 𝟏𝟏
d) 𝟓𝟓 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟒𝟒 𝒙𝒙 𝟏𝟏𝟏𝟏
e) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏
f) 𝟐𝟐 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟖𝟖 𝒙𝒙 𝟏𝟏
g) 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟕𝟕 𝒙𝒙 𝟏𝟏𝟏𝟏 + 𝟓𝟓 𝒙𝒙 𝟏𝟏
h) 𝟖𝟖 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 𝟎𝟎𝟎𝟎𝟎𝟎 + 𝟗𝟗 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟑𝟑 𝒙𝒙 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟐𝟐 𝒙𝒙 𝟏𝟏
20. Write in expanded form:
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8. UNIT 01 September
a) 975
b) 680
c) 3,874
d) 9,083
e) 56,742
f) 75,007
g) 600,829
h) 354,718
21. Write the following in numeral form:
a) twenty seven
b) eighty
c) six hundred and eight
d) one thousand and sixteen
e) eight thousand two hundred
f) nineteen thousand five hundred and thirty-eight
g) seventy five thousand four hundred and three
h) six hundred and two thousand eight hundred and eighteen
22. What number is:
a) one less than eight
b) two more than eleven
c) four more than seventeen
d) one less than three hundred
e) seven greater than four thousand
f) 3 less than 10,000
g) four more than four hundred thousand
h) 26 more than two hundred and nine thousand?
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9. UNIT 01 September
23. The number 372,474 contains two 7s and two 4s.
a) How many times larger is the first 7 compared with the second 7?
b) How many times smaller is the second 7 compared with the first 7?
c) Which of the 4s represents a larger number? By how much is it larger than the
other one?
24. In the number 53,479,682 the digit 9 has the value 9,000 and the digit 3 has the value
3,000,000. Give the value of the other numbers.
25. Read the following stories about large numbers. Write each large number using
numerals.
a) A heart beating at a rate of 70 beats per minute would beat about thirty seven
million times in a year.
b) Austria’s largest hamburger chain bought two hundred million bread buns and used
seventeen million kilograms of beef in one year.
c) The Jurassic era was about one hundred and fifty million years ago.
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10. UNIT 01 September
d) One hundred and eleven million, two hundred and forty thousand, four hundred
and sixty three dollars and ten cents was won by two people in a Powerball Lottery
in Wisconsin USA in 1993.
e) A total of twenty one million, two hundred and forty thousand, six hundred and
fifty-seven Volkswagen ‘Beetles’ had been built to the end of 1995.
f) In a lifetime the average person will blink four hundred and fifteen million times.
g) One Megabyte of data on a computer is one million, forty-eight thousand, five
hundred and seventy-six bytes.
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11. UNIT 01 September
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12. UNIT 01 September
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises - 1.2.12