MSI 2023 AMC 8 Mock Test

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Yihana walks for 10 minutes. A graph of her elevation in metres versus time in minutes is shown. The length of time for which she was walking uphill is

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Naomi has a broken calculator. All it can do is either add one to the previous answer, or square the previous answer. (It performs the operations correctly.) Naomi starts with 2 on the screen. In how many ways can she obtain an answer of 20?

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A square piece of paper is folded along the diagonals twice, as shown in the diagrams below. Then a cut is made along the dotted line. When the paper is unfolded, which one of the following diagrams shows how the paper appears?

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Benjamin and his classmates, arranged in a grid, are standing at the

playground. Each row has the same number of kids. Benjamin’s po-

sition is second from the front, third from the back. If there are two

kids on this left and three kids on his right, how many kids are there?

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How many six-digit integers of the form ‘ababab’ are multiples of 12?

For example, 121212 is such a number.

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The diagram shows a regular pentagon inside

a square. What is the value of x?

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A sequence has 7 positive integer numbers. Its average, median, range,

and the unique mode are all 7. What is the least possible value of the

largest number in the sequence?

Note that the mode appears more than once

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Five sixth of kids in a room were boys. After 30 boys left the room,

80% of remaining kids were boys. How many kids were in the room at

the beginning?

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