OAR Cheat Sheet 2026

The 30 highest-yield OAR facts, distilled from real exam questions. Print it, save it as a PDF, or study it here β€” free, no sign-up.

40 questions
60 min time limit
60.00% to pass
  1. Which component opposes changes in current flow in a circuit? β†’ Inductor
  2. A third-class lever has the effort applied between the fulcrum and the load. What is a real-world example? β†’ Fishing rod
  3. Which of the following is the BEST conductor of electricity? β†’ Copper
  4. In a first-class lever, the fulcrum is located 2 ft from the load and 6 ft from the effort. If the load weighs 150 lb, what effort is required to balance it? β†’ 50 lb
  5. The volume of a cube is 125 inΒ³. What is the length of one edge? β†’ 5 in
  6. A compound pulley system has 4 rope segments supporting the load. What is the mechanical advantage? β†’ 4
  7. An inclined plane is 10 ft long and 3 ft high. What is its ideal mechanical advantage? β†’ 3.33
  8. A number is increased by 25% and the result is 100. What was the original number? β†’ 80
  9. If x = -3, what is the value of 2xΒ² - 5x + 1? β†’ 34
  10. A screw with a pitch of 0.5 cm is turned with a screwdriver handle of radius 2 cm. What is the mechanical advantage (use Ο€ β‰ˆ 3.14)? β†’ 25.12
  11. Read the sentence: 'The officer's **tenacity** in pursuing the mission despite setbacks ultimately led to its success.' What does 'tenacity' most nearly mean? β†’ Persistence
  12. What happens to the total resistance when resistors are connected in parallel? β†’ It decreases below the smallest individual resistor
  13. Which component opposes changes in current in an AC circuit? β†’ Inductor
  14. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. What is its surface area? β†’ 158 sq cm
  15. Which of the following is the greatest common factor (GCF) of 48 and 36? β†’ 12
  16. If the flow rate through a pipe is 12 liters per minute and the cross-sectional area of the pipe is 4 cmΒ², what is the flow velocity? β†’ 0.5 m/s
  17. A 4 kg object is suspended by two ropes that each make a 45Β° angle with the ceiling. What is the tension in each rope? (g = 10 m/sΒ²) β†’ 28.3 N
  18. What is the coefficient of xΒ² in the expression 7 - 3xΒ² + 4x? β†’ -3
  19. An axe blade is a type of which simple machine? β†’ Wedge
  20. Which of the following best defines the property of a fluid known as viscosity? β†’ The fluid's internal resistance to flow.
  21. A contractor bids $18,000 to paint a facility. Materials cost $4,800 and labor is $280 per day for 10 days. What is the contractor's profit? β†’ $9,200
  22. A hanging sign is supported by two cables: one horizontal and one at 60Β° above horizontal. If the sign weighs 120 N, what is the tension in the angled cable? β†’ 138.6 N
  23. What is the value of 3/4 + 5/8? β†’ 11/8
  24. In a coordinate plane, line m has a slope of 3/4. What is the slope of a line perpendicular to m? β†’ βˆ’4/3
  25. A regular hexagon has a side length of 6 cm. What is the sum of its interior angles? β†’ 720Β°
  26. What is the degree of the polynomial 5xΒ³ - 2x + 7? β†’ 3
  27. A rope is cut into pieces of 2.5 feet each. If the original rope is 17.5 feet long, how many pieces are cut? β†’ 7
  28. When you tighten a jar lid using your fingers, the lid acts as which component of a wheel and axle? β†’ The axle
  29. A sailor earns $2,400 per month. If 25% is withheld for taxes, what is the take-home pay? β†’ $1,800
  30. A longer screwdriver handle (larger radius) makes a screw easier to turn because it: β†’ Increases mechanical advantage
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