Algorithms and flowchartsIB MYP Maths Extended: Mind map

Exam questions on Algorithms and flowcharts

1. An algorithm is written in steps. Step 1: Set $n=5$ and $total=0$. Step 2: Add $n$ to $total$. Step 3: Reduce $n$ by $1$. Step 4: If $n>0$, go back to Step 2; otherwise output $total$ and stop.
   Step 1 is changed to set $n=8$. Find the new output.2 marks
2. A flowchart takes a number $x$ as its input. Process: double $x$ and subtract $3$ to get $y$. Decision: if $y>10$, output the word "Large"; otherwise output $y$.
   Find the smallest whole number input that gives the output 'Large'.2 marks
3. A sequence is generated by an algorithm. Step 1: Set the first term $u_1=3$. Step 2: To get the next term, multiply the previous term by $2$ and then add $1$. Step 3: Repeat Step 2 until the terms needed have been found.
   Use the algorithm to find the first five terms of the sequence.3 marks