Math Problems: Algebra, Geometry and Arithmetic
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Questions and Answers

A car uses 500ml of fuel to travel 5.5km. Approximately how many liters of fuel would the car use to travel 218km?

  • 18.0
  • 20.5
  • 21.0
  • 19.8 (correct)

A plane is initially flying south and then turns anti-clockwise through 135 degrees. In which direction is it now flying?

  • Northeast (correct)
  • Northwest
  • Southeast
  • Southwest

In a class of 48 students, 36 are girls. What fraction of the class is comprised of boys?

  • 1/4 (correct)
  • 2/5
  • 1/3
  • 2/3

Tina thinks of a number, adds 3 to it, and then squares the result. If she ends up with 25, which equation represents this sequence of operations?

<p>(n + 3)² = 25 (D)</p> Signup and view all the answers

100 meters of fence encloses a square plot of land with an area of 625 square meters. How large of an area, in square meters, will 200 meters of fence enclose if the plot is still a square?

<p>2500 (B)</p> Signup and view all the answers

Flashcards

Multiplying Two Variables

If e = 3 and f = 4, then 2ef equals 24.

Solving Linear Equations

If (x - 3) + (x + 2) = 0, then x = -1/2.

Distance and Fuel Usage

Car uses 500ml for 5.5km; 218km uses 20 liters.

Direction Change in Degrees

A plane flying south turning 135° anti-clockwise ends up flying southeast.

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Finding Fraction of Students

In a class of 48 with 36 girls, the boys' fraction is 1/4.

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Study Notes

Multiple Choice Questions

  • Question 1: If e = 3 and f = 4, then 2ef equals 288
  • Question 2: If (x - 3) + (x + 2) = 0, then x = -1/2
  • Question 3: A car uses 500ml to travel 5.5km. To travel 218km, the car would use 20 liters.
  • Question 4: A plane flying south turns anti-clockwise through 135 degrees. The new direction is Northwest.
  • Question 5: In a class of 48 students, 36 are girls. The fraction of boys is 1/4.
  • Question 6: Tina thinks of a number, adds 3 to it, and squares the result, getting 25. The equation is (n + 3)² = 25.

Triangle Angles

  • Two angles in an isosceles triangle measure 40 degrees each. The third angle is 100 degrees.

Unknown Angles

  • The diagram shows parallel lines and transversals. The unknown angle x is 58 degrees.

Rangi's Computer Game

  • Rangi pays 10% of a $120 computer game, which is $12.
  • To pay off the remaining balance, the monthly payment is $12.
  • If the hourly rate is $6, to cover the left amount, Rangi needs to work 120/6 = 20 hours.

Fencing a Square Plot

  • If 100m of fence encloses a square plot of 625m², the side length of the square is 25 m.
  • With 200m of fence, the side length of the square plot will be 50m, and the area will be 2500 m².

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Description

A quiz covering several math topics: Solving algebraic equations, geometry problems involving angles, and arithmetic problems. Includes multiple-choice and calculation questions. Suitable for high school level.

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