MathDB

6

Part of 2022 AMC 10

Problems(2)

spring 2021 10b #2 strikes again

Source: 2022 AMC 10A #6

11/11/2022
Which expression is equal to ∣a−2−(a−1)2∣\left | a-2-\sqrt{(a-1)^2} \right| for a<0a<0?
<spanclass=′latex−bold′>(A)</span>3−2a<spanclass=′latex−bold′>(B)</span>1−a<spanclass=′latex−bold′>(C)</span>1<spanclass=′latex−bold′>(D)</span>a+1<spanclass=′latex−bold′>(E)</span>3<span class='latex-bold'>(A) </span> 3-2a \qquad <span class='latex-bold'>(B) </span> 1-a \qquad <span class='latex-bold'>(C) </span> 1 \qquad <span class='latex-bold'>(D) </span> a+1 \qquad <span class='latex-bold'>(E) </span> 3
AMC 10AMC2022 AMC 10a2022 AMCalgebraabsolute value
Prime numbers?

Source: 2022 AMC 10B #6 / 2022 AMC 12B #3

11/17/2022
How many of the first ten numbers of the sequence 121121, 1121111211, 11121111112111, ... are prime numbers?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>3<spanclass=′latex−bold′>(E)</span>4<span class='latex-bold'>(A) </span> 0 \qquad <span class='latex-bold'>(B) </span>1 \qquad <span class='latex-bold'>(C) </span>2 \qquad <span class='latex-bold'>(D) </span>3 \qquad <span class='latex-bold'>(E) </span>4
AMCAMC 12AMC 102022 AMC 10B2022 AMC 12B2022 AMCprimes