Systematic Sippy is a calculator with buttons +1, +10, +100, +1,000, +10,000, +1,00,000 that should be used as few times as possible. What is the smallest number of button clicks needed to make 5072, and which expression achieves it?
  • 14 clicks: (5×1,000)+(7×10)+(2×1)
  • 18 clicks: (50×100)+(7×10)+(2×1)
  • 23 clicks: (3×1,000)+(20×100)+(72×1)
  • 12 clicks: (4×1,000)+(10×10)+(72×1)
Systematic Sippy: What is the smallest number of button clicks needed to make 8300, and which expression achieves it?
  • 11 clicks: (8×1,000)+(3×100)
  • 13 clicks: (83×100)
  • 8 clicks: (83×10)+(0×1)
  • 12 clicks: (8×1,000)+(30×10)
Systematic Sippy shows one way to get 5072 in 23 clicks. Which of the following uses fewer than 23 clicks and still makes 5072?
  • (5×1,000)+(7×10)+(2×1)
  • (2×1,000)+(30×100)+(7×10)+(2×1)
  • (50×100)+(7×10)+(2×1)
  • (507×10)+(2×1)
If the +10,00,000 button is pressed ten times, which number results and how many zeroes does it have?
  • Ten lakh; five zeroes
  • One crore; seven zeroes
  • Ten crore; eight zeroes
  • One billion; nine zeroes
How many zeroes does a thousand lakh have?
  • 6
  • 7
  • 8
  • 9
How many zeroes does a hundred thousand have?
  • 4
  • 5
  • 6
  • 7
In the Indian system, what is the number name for 4050678 written with commas as 40,50,678?
  • Forty lakh fifty thousand six hundred seventy-eight
  • Four million fifty thousand six hundred seventy-eight
  • Four crore five lakh six thousand seventy-eight
  • Forty lakh five thousand sixty-seven
In the Indian system, what is the number name for 48121620 written with commas as 4,81,21,620?
  • Four crore eighty-one lakh twenty-one thousand six hundred twenty
  • Forty-eight crore twelve lakh sixteen thousand twenty
  • Four million eight hundred twelve thousand one hundred sixty-two
  • Four crore eighty-one thousand twenty-one six hundred twenty
In the Indian system, what is the number name for 20022002 written with commas as 2,00,22,002?
  • Two crore twenty-two thousand two
  • Two crore two lakh twenty-two thousand two
  • Twenty crore two lakh two
  • Two million twenty-two thousand two
In the Indian system, what is the number name for 246813579 written with commas as 24,68,13,579?
  • Twenty-four crore sixty-eight lakh thirteen thousand five hundred seventy-nine
  • Two hundred forty-six crore eighty-one lakh three thousand five hundred seventy-nine
  • Twenty-four million sixty-eight thousand thirteen hundred seventy-nine
  • Twenty-four crore sixty-eight thousand one hundred three seventy-nine
In the Indian system, what is the number name for 345000543 written with commas as 34,50,00,543?
  • Thirty-four crore fifty lakh five hundred forty-three
  • Three hundred forty-five crore five hundred forty-three
  • Thirty-four crore five lakh five hundred forty-three
  • Thirty-four million five hundred thousand five hundred forty-three
In the Indian system, what is the number name for 1020304050 written with commas as 1,02,03,04,050?
  • One hundred two crore three lakh four thousand fifty
  • One billion twenty million three hundred four thousand fifty
  • One hundred two crore thirty lakh forty thousand fifty
  • Ten crore twenty lakh thirty thousand four hundred fifty
Write the following in Indian place value notation: One crore one lakh one thousand ten
  • 1,01,01,010
  • 1,10,10,010
  • 1,00,11,01,010
  • 10,10,10,010
Write the following in Indian place value notation: One billion one million one thousand one
  • 1,00,10,01,001
  • 10,01,00,001
  • 1,01,00,10,001
  • 1,10,00,01,001
Write the following in Indian place value notation: Ten crore twenty lakh thirty thousand forty
  • 10,20,30,040
  • 1,02,03,004
  • 10,02,30,040
  • 10,20,03,040
Write the following in Indian place value notation: Nine billion eighty million seven hundred thousand six hundred forty-five
  • 9,08,07,00,645
  • 90,80,70,0645
  • 9,80,70,00,645
  • 9,08,70,00,645
According to the rounding discussion, in which situation is rounding up more appropriate?
  • Ordering sweets for a school with 732 people: say about 750 sweets
  • Quoting Rs 470 as about Rs 450
  • Stating Chintamani’s population 76,068 as about 75,000
  • Dialling an emergency helpline number
All five nearest neighbours (nearest thousand, ten thousand, lakh, ten lakh, and crore) of a mystery number are 5,00,00,000. Which of the following could be that number?
  • 4,99,99,400
  • 4,99,99,750
  • 5,00,00,750
  • 5,00,01,000
For the same mystery number whose five nearest neighbours are all 5,00,00,000, how many whole numbers satisfy this condition?
  • 100
  • 500
  • 1000
  • 5000
Roxie and Estu estimate 4,63,128 + 4,19,682. Roxie says: “The sum is near 8,00,000 and is more than 8,00,000.” Estu says: “The sum is near 9,00,000 and is less than 9,00,000.” Whose estimate is closer to the actual sum?
  • Roxie
  • Estu
  • Both equally close
  • Neither
For 4,63,128 + 4,19,682, will the sum be greater than 8,50,000 or less than 8,50,000?
  • Greater than 8,50,000
  • Less than 8,50,000
For 4,63,128 + 4,19,682, will the sum be greater than 8,83,128 or less than 8,83,128?
  • Greater than 8,83,128
  • Less than 8,83,128
Exact value of 4,63,128 + 4,19,682 is which of the following?
  • 8,80,810
  • 8,82,810
  • 8,83,128
  • 8,90,000
Roxie and Estu estimate 14,63,128 – 4,90,020. Roxie says: “The difference is near 10,00,000 and is less than 10,00,000.” Estu says: “The difference is near 9,00,000 and is more than 9,00,000.” Whose estimate is closer to the actual difference?
  • Roxie
  • Estu
  • Both equally close
  • Neither
For 14,63,128 – 4,90,020, will the difference be greater than 9,50,000 or less than 9,50,000?
  • Greater than 9,50,000
  • Less than 9,50,000
For 14,63,128 – 4,90,020, will the difference be greater than 9,63,128 or less than 9,63,128?
  • Greater than 9,63,128
  • Less than 9,63,128
Exact value of 14,63,128 – 4,90,020 is which of the following?
  • 9,70,108
  • 9,73,108
  • 9,80,020
  • 9,90,000
Based on the table of populations of Indian cities (2011 and 2001), which statement best describes the general observation about the data?
  • Most cities show an increase in population from 2001 to 2011.
  • Most cities show a decrease in population from 2001 to 2011.
  • All cities have exactly doubled in population.
  • Populations are unchanged between 2001 and 2011.
What is an appropriate title for the table that lists 20 Indian cities with their populations in 2011 and 2001?
  • Populations of Cities (2001 and 2011)
  • India’s Weather by City
  • City Literacy Rates
  • Railway Distances Between Cities
According to the table, what is the population of Pune in 2011, and approximately by how much has it increased compared to 2001?
  • About 31 lakh; increased by about 6 lakh
  • About 25 lakh; increased by about 31 lakh
  • About 31 lakh; increased by about 3 lakh
  • About 35 lakh; increased by about 10 lakh
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