Math Olympiad for 3rd Grade – 5
- Amy, Bob, Charlie, David and Emily took part in a math exam. Their average score was 85. After checking his answer sheet against the answer sheet, Amy found that her score was wrong and reported it to her teacher. After the teacher corrected Amy’s score, their average score increased to 88. And Amy’s final score is ________.
- Two numbers on Kevin’s report card got smudged and unreadable, one is for English, the other for Math. Kevin’s score for English is ________ and his score for Math is __________. $$ \begin{array}{|c|c|c|c|c|}\hline \texttt{Subject}&English&Math&Science&\texttt{Average} \\ \hline \texttt{Score}&8\blacksquare & \blacksquare 6&75&\texttt{86} \\ \hline \end{array}$$
- Adam, Bill, Carl and Dan took a math quiz. The teacher told Adam that the sum of other 3 students’ score is $9$; told Bill that the sum of the other 3’s scores is $9$; told Carl that the sum of other 3’s scores is $11$; and told Dan that the sum of other 3’s scores is $10$. Adam’s score is __________, Bill’s __________, Carl’s __________, and Dan’s __________.
- Five students went to a gym to get their weight measured. However, the scale was malfunctioning that it could not measure weight below 100 pounds. So each student paired with another student to weight together on the scale and took a total of 10 measurements in pounds as: $$153, 156, 159, 162, 159, 162, 165, 168, 171$$, What is the weight of each student? __________, __________, __________, __________, __________.
- Will has two clocks, one is always accurate and the other would be slower and lose 20 seconds every hour. At 8 AM in the morning, Will reset the slower clock. How many days later will both clocks point to 8 AM in the morning at the same time again?
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