110 practice questions covering Large Numbers Around Us, organised into 0 topics.
110 questions include a written explanation.
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Sample questions
Q1
medium
Two villages have $12{,}480$ and $9{,}530$ people. Estimate the total by rounding each population to the nearest thousand.
A$21{,}000$
B$22{,}000$
C$23{,}000$
D$20{,}000$
Show answer and explanation
Correct answer: B - $22{,}000$
The populations round to $12{,}000$ and $10{,}000$, giving an estimate of $22{,}000$. Rounding $9{,}530$ down to $9{,}000$ gives $21{,}000$, rounding both down gives $21{,}000$ as well, and $23{,}000$ comes from rounding $12{,}480$ up to $13{,}000$.
Q2
medium
Which of these numbers is the smallest?
A$3{,}00{,}100$
B$2{,}99{,}999$
C$3{,}00{,}001$
D$30{,}00{,}010$
Show answer and explanation
Correct answer: B - $2{,}99{,}999$
Three of the numbers have six digits and one has seven, so $30{,}00{,}010$ is the largest, not the smallest. Among the six-digit numbers, $2{,}99{,}999$ starts with $2$ while the others start with $3$, so it is the smallest even though it is packed with nines.
Q3
easy
Which of these figures is normally reported only as an estimate?
AThe marks a student scored in a test
BThe crowd at a village festival
CThe price printed on a biscuit packet
DThe number of students present in a classroom
Show answer and explanation
Correct answer: B - The crowd at a village festival
Nobody counts a festival crowd head by head, so such figures are always approximate. Marks, attendance and a printed price are all recorded exactly, because each is small enough or fixed enough to be known precisely.
Q4
medium
Which is greater, a crowd of $3$ crore or a crowd of $30$ million?
A$3$ crore is ten times $30$ million
B$3$ crore is greater
C$30$ million is greater
DThey are the same size
Show answer and explanation
Correct answer: D - They are the same size
One crore equals $10$ million, so $3$ crore equals $30$ million and the two crowds are the same size. The trap is comparing the numbers $3$ and $30$ without noticing that the units differ by a factor of ten.
Q5
easy
One million is written as $1$ followed by how many zeros?
A$6$
B$7$
C$9$
D$5$
Show answer and explanation
Correct answer: A - $6$
One million is $1{,}000{,}000$, which is $1$ followed by six zeros. Five zeros give one lakh, seven zeros give one crore and nine zeros give one billion.
Q6
easy
Use the idea that $99 = 100 - 1$ to find $8 \times 99$.
A$800$
B$891$
C$782$
D$792$
Show answer and explanation
Correct answer: D - $792$
Eight hundreds less eight gives $800 - 8 = 792$. Subtracting $8$ twice gives $784$ and subtracting $18$ gives $782$, while $800$ forgets the subtraction altogether and $891$ is $9 \times 99$.
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