Which city’s population increased the most between 2001 and 2011, according to the table?
  • Bengaluru
  • Mumbai
  • New Delhi
  • Kolkata
By what number should we multiply Patna’s 2011 population (16,84,222) to get a number close to Mumbai’s 2011 population (1,24,42,373)?
  • About 5
  • About 7
  • About 10
  • About 12
Which statement explains why multiplying a number by 5 is the same as first dividing by 2 and then multiplying by 10?
  • Because 5 equals 10 ÷ 2
  • Because 5 equals 2 ÷ 10
  • Because 5 equals 2 × 10
  • Because dividing by 2 and multiplying by 10 always cancels out
Find a quick way to calculate 2 × 1768 × 50. Which is the correct value?
  • 17,680
  • 88,400
  • 1,76,800
  • 17,68,000
Find a quick way to calculate 72 × 125. Which is the correct value?
  • 720
  • 9,000
  • 12,500
  • 90,000
Find a quick way to calculate 125 × 40 × 8 × 25. Which is the correct value?
  • 10,000
  • 1,00,000
  • 10,00,000
  • 1,00,00,000
Calculate quickly: 25 × 12 equals which of the following?
  • 250
  • 300
  • 600
  • 3,000
Calculate quickly: 25 × 240 equals which of the following?
  • 600
  • 6,000
  • 60,000
  • 6,00,000
Calculate quickly: 250 × 120 equals which of the following?
  • 12,000
  • 24,000
  • 30,000
  • 300,000
Calculate quickly: 2500 × 12 equals which of the following?
  • 12,000
  • 24,000
  • 30,000
  • 300,000
Which pair of numbers multiplies to 120000000?
  • 12,000 × 10,000
  • 1,200 × 1,000
  • 3,000 × 40
  • 120 × 10,000
Evaluate 11 × 11. Choose the correct product.
  • 111
  • 121
  • 1,111
  • 1,121
Evaluate 111 × 111. Choose the correct product.
  • 12,321
  • 1,23,321
  • 1,23,21
  • 12321
Evaluate 1111 × 1111. Choose the correct product.
  • 12,34,321
  • 1234321
  • 1,23,43,21
  • 1,234,321
Evaluate 66 × 61. Choose the correct product.
  • 4,026
  • 4,260
  • 40,026
  • 40,260
Evaluate 666 × 661. Choose the correct product.
  • 4,40,226
  • 44,02,260
  • 4,42,226
  • 44,02,226
Evaluate 6666 × 6661. Choose the correct product.
  • 44,40,22,26
  • 4,44,02,226
  • 44,40,22,260
  • 44,402,226
Evaluate 3 × 5, 33 × 35, and 333 × 335. Which option lists the correct sequence of products?
  • 15; 1,155; 1,11,555
  • 15; 1,115; 1,11,555
  • 15; 1,155; 1,11,555
  • 15; 1,155; 1,11,155
Evaluate 101 × 101. Choose the correct product.
  • 1,002
  • 10,201
  • 10201
  • 1,02,001
Evaluate 102 × 102. Choose the correct product.
  • 10,204
  • 10,402
  • 10404
  • 1,04,020
Evaluate 103 × 103. Choose the correct product.
  • 10,306
  • 10,603
  • 10609
  • 1,06,003
Is there a connection between the number of digits in the factors and the digits in their product? Choose the best rule.
  • The product always has exactly the sum of the digits of the factors.
  • The product has either (m + n − 1) or (m + n) digits when multiplying an m-digit number by an n-digit number.
  • The product always has one more digit than the larger factor.
  • There is no predictable rule.
Roxie says that the product of two 2-digit numbers can only be a 3- or a 4-digit number. Is she correct?
  • Yes, because 10 × 10 is 100 and 99 × 99 is less than 10,000
  • No, because 2-digit numbers can give 2-digit products
  • No, because products can be 5-digit numbers
  • Cannot be determined
To check Roxie’s claim about 2-digit numbers, which method is better than trying every multiplication?
  • Use the smallest product 10 × 10 and the greatest product 99 × 99 to bound the number of digits.
  • Multiply all pairs of 2-digit numbers and count the digits.
  • Pick any random pair and generalize.
  • Convert the numbers to fractions first.
Can multiplying a 3-digit number with another 3-digit number give a 4-digit number?
  • Yes, sometimes
  • No, because the smallest 3-digit product 100 × 100 is 10,000
  • Only if one number is less than 100
  • Only when both numbers end in zero
Can multiplying a 4-digit number with a 2-digit number give a 5-digit number?
  • Yes, for example 1000 × 10 = 10,000
  • No, it must be 6-digit
  • Only if the 2-digit number is prime
  • Only if the 4-digit number is less than 1000
Calculate 1250 × 380 to uncover the number of kirtanas said to have been composed by Purandaradasa according to legends. Read the product as a number.
  • 4,75,000
  • 47,500
  • 475,000,000
  • 4750
Calculate 2100 × 70,000 to uncover the approximate distance, in kilometers, between the Earth and the Sun as given in the fact box. Choose the correct value.
  • 147,000,000 km
  • 152,000,000 km
  • 14,700,000 km
  • 1,470,000,000 km
According to the blue fact box, the farthest distance between the Earth and the Sun during the year is about how many kilometers?
  • 152 million km
  • 147 million km
  • 1.52 billion km
  • 105 million km
How did scientists first measure the distance between the Earth and the Sun? Choose the method that best explains a practical approach referenced by astronomers.
  • By using a gigantic measuring tape stretched through space
  • By geometric calculations from observations of planetary motions and parallax
  • By timing how long sunlight takes to reach Earth with a stopwatch
  • By sending a probe with an odometer to the Sun in a single trip
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