DP Mathematics HL Questionbank

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Directly related questions

• 18M.3dm.hl.TZ0.4b.ii: State the value of ${\text{gcd}}\left( {4k + 2,\,3k + 1} \right)$ for even positive...
• 18M.3dm.hl.TZ0.4b.i: State the value of ${\text{gcd}}\left( {4k + 2,\,3k + 1} \right)$ for odd positive integers $k$.
• 18M.3dm.hl.TZ0.4a: Show that...
• 08N.3dm.hl.TZ0.3a: Write 57128 as a product of primes.
• 11M.3dm.hl.TZ0.5a: Explaining your method fully, determine whether or not 1189 is a prime number.
• 11M.3dm.hl.TZ0.5b: (i)     State the fundamental theorem of arithmetic. (ii)     The positive integers M and N have...
• 14M.3dm.hl.TZ0.2d: Consider the set $P$ of numbers of the form ${n^2} - n + 41,{\text{ }}n \in \mathbb{N}$. (i)...
• 13N.3dm.hl.TZ0.5a: Show that $30$ is a factor of ${n^5} - n$ for all $n \in \mathbb{N}$.
• 15M.3dm.hl.TZ0.5a: State the Fundamental theorem of arithmetic for positive whole numbers greater than $1$.
• 15M.3dm.hl.TZ0.5b: Use the Fundamental theorem of arithmetic, applied to $5577$ and $99\,099$, to calculate...