Question types

Playing with Numbers question types

75 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

75
Questions
5
Question groups
5
Question types
Sample Questions

Playing with Numbers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If $x + y + z = 6$ and $z$ is an odd digit, then the three-digit number $xyz$ is:
  • an odd multiple of $3$
  • B
    odd multiple of $6$
  • C
    even multiple of $3$
  • D
    even multiple of $9$

Answer: A.

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$\ \ \ \underline{\ \ \ \ \ \text{A}\ \ \ \text{A}{}\\\times \ \ \ \ \ \ \ \text{A}\ }\\\ \ \underline{\text{C}\ \ \text{ A}\ \ \ \text{ B}\ \ }$ and $B - A =1$.
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A three-digit number $2$ a $3$ is added to the number $326$ to give a three-digit number $5b9$ which is divisible by $9$. Find the value of $b – a$
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If $\ \ \ \ \ 1\ \ \ \ \ \ \text{P}\\\ \ \ \ \underline{{\times}\ \ \ \\ \ \ \ \text{P}}\\\ \ \ \ \text{Q}\ \ \ \ \ 6\ $ where $Q - P = 3$, then find the values of $P$ and $Q$.
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$\underline{\ \ \ \ \ \text{A}\ \ 0 \ \ 1\ \ \text{B}\\\text{+}\ \ 1\ \ 0 \ \ \text{A}\ \ \ \text{B}}\\\underline{\ \ \ \ \text{B}\ \ \ 1\ \ \ 0\ \ \ 8}$
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Q 113 Marks Question3 Marks
Find the value of the letters in the following: $\\\underline{\ \ \ \ \ 2 \ \ \ \text{L}\ \ \ \text{M} \\\ {+}\ \text{L}\ \ \text{M}\ \ \ \ \text{I}}\ \ \ \ \ \ \ \ \\\\\underline{\ \ \ \ \text{M}\ \ \ \text{I}\ \ \ \ 8\ }$
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Q 143 Marks Question3 Marks
Let $E = 3, B = 7$ and $A = 4$. Find the other digits in the sum
$\underline{\ \ \ \ \ \text{B}\ \ \text{A} \ \ \text{S}\ \ \ \text{E}\\\text{+}\ \ \text{B}\ \ \text{A} \ \ \text{L}\ \ \ \text{L} }\\\underline{\ \text{G} \ \text{A}\ \text{M} \ \ \text{E}\ \ \ \text{L}\ }$
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Q 153 Marks Question3 Marks
$\underline{\ \ \ \ \ \text{C}\ \ \text{B} \ \ \text{A}\\\text{+}\ \ \text{C}\ \ \text{B} \ \ \text{A}\ }\\\underline{\ 1 \ \ \text{A}\ \ \ 3\ \ \ 0\ }$
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If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.
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Work out the following multiplication.
$\underline{\ \ \ \ \ 12345679\\\ \ \ \ \ \ \ \ \ \times\ \ \ \ \ 9 }\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$
Use the result to answer the following questions.​​​​​​
$a.$ What will be $12345679 \times 45$?
$b.$ What will be $12345679 \times 63$?
$c.$ By what number should $12345679$ be multiplied to get $888888888$?
$d.$ By what number should $12345679$ be multiplied to get $999999999$?
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$\underline{\\ \ \ \ \text{8}\ \ \text{A} \ \ \text{B}\ \ \text{C}\\\text{-}\ \ \text{A}\ \ \text{B} \ \ \text{C}\ \ \ \text{5}}\\\underline{\ \ \ \ \text{D}\ \ \ 4\ \ \ 8\ \ \ 8}$
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The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by $9$ and ___________.
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