olymmath

AMC 8 2023

AMC 8 2023.

Paper

Problem 1

  • Paper

What is the value of (8×4+2)−(8+4×2)?(8 \times 4 + 2) - (8 + 4 \times 2)? (A) 0(B) 6(C) 10(D) 18(E) 24\textbf{(A)}~0 \textbf{(B)}~6 \textbf{(C)}~10 \textbf{(D)}~18 \textbf{(E)}~24

Answer, solutions and source

Problem 2

  • Paper

A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?

\textbf{(A)}\textbf{(B)}\textbf{(C)}\textbf{(D)}\textbf{(E)}

Answer, solutions and source

Problem 3

  • Paper

Wind chill is a measure of how cold people feel when exposed to wind outside. A good estimate for wind chill can be found using this calculation: (wind chill)=(air temperature)−0.7×(wind speed),(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed}), where temperature is measured in degrees Fahrenheit (∘F)(^{\circ}\text{F}) and and the wind speed is measured in miles per hour (mph). Suppose the air temperature is 36∘F36^{\circ}\text{F} and the wind speed is 1818 mph. Which of the following is closest to the approximate wind chill? (A) 18(B) 23(C) 28(D) 32(E) 35\textbf{(A)}~18 \textbf{(B)}~23 \textbf{(C)}~28 \textbf{(D)}~32 \textbf{(E)}~35

Answer, solutions and source

Problem 4

  • Paper

The numbers from 11 to 4949 are arranged in a spiral pattern on a square grid, beginning at the center. The first few numbers have been entered into the grid below. Consider the four numbers that will appear in the shaded squares, on the same diagonal as the number 7.7. How many of these four numbers are prime?

11 22 33 44 55 66 77

(A) 0(B) 1(C) 2(D) 3(E) 4\textbf{(A) } 0 \textbf{(B) } 1 \textbf{(C) } 2 \textbf{(D) } 3 \textbf{(E) } 4

Answer, solutions and source