2021 JMPSC Accuracy Problems

  1. This is a fifteen question free-response test. Each question has exactly one integer answer.
  2. You have 60 minutes to complete the test.
  3. You will receive 4 points for each correct answer, and 0 points for each problem left unanswered or incorrect.
  4. Figures are not necessarily drawn to scale.
  5. No aids are permitted other than scratch paper, graph paper, rulers, and erasers. No calculators, smartwatches, or computing devices are allowed. No problems on the test will require the use of a calculator.
  6. When you finish the exam, please stay in the Zoom meeting for further instructions.

Problem 1

Find the sum of all positive multiples of $3$ that are factors of $27.$

Solution

Problem 2