Math Practice Problems

Trapezoids - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1

Find the perimeter and area.

#	Problem	Correct Answer	Your Answer
1		perimeter = units area = units²
Solution To find the perimeter, add up all the sides. Perimeter = 7 + 8 + 4 + 14 = 33 Area of a trapezoid = ½ * height * (base₁ + base₂) In this trapezoid, base₁ = 8 and base₂ = 14. Area = ½ * 4 * (8 + 14) = 44

#	Problem	Correct Answer	Your Answer
2		perimeter = units area = units²
Solution To find the perimeter, add up all the sides. Perimeter = 7 + 10 + 6 + 20 = 43 Area of a trapezoid = ½ * height * (base₁ + base₂) In this trapezoid, base₁ = 10 and base₂ = 20. Area = ½ * 4 * (10 + 20) = 60

Complexity=2

Find the perimeter and area.

#	Problem	Correct Answer	Your Answer
1		perimeter = units area = units²
Solution To find the perimeter, add up all the sides. Perimeter = 7 + 5 + 7 + 4 + 5 + 4 = 32 Area of a trapezoid = ½ * height * (base₁ + base₂) In this trapezoid, base₁ = 5 and base₂ = 4 + 5 + 4. Area = ½ * 6 * (5 + 4 + 5 + 4) = 54

#	Problem	Correct Answer	Your Answer
2		perimeter = units area = units²
Solution To find the perimeter, add up all the sides. Perimeter = 4 + 4 + 6 + 5 + 4 = 23 Area of a trapezoid = ½ * height * (base₁ + base₂) In this trapezoid, base₁ = 4 and base₂ = 5 + 4. Area = ½ * 4 * (4 + 5 + 4) = 26

Complexity=3

Find x.

#	Problem	Correct Answer	Your Answer
1	If the perimeter is 37, then what is x?	x = units
Solution The perimeter is the sum of all the sides. So x = perimeter - all known sides x = 37 - 16 - 7 - 4 x = 10

#	Problem	Correct Answer	Your Answer
2	If the perimeter is 36, then what is x?	x = units
Solution The perimeter is the sum of all the sides. So x = perimeter - all known sides x = 36 - 11 - 8 - 8 x = 9

Complexity=4

Find x.

#	Problem	Correct Answer	Your Answer
1	If the area is 140 units², then what is x?	x = units
Solution Area of a trapezoid = ½ * height * (base₁ + base₂) 140 = ½ * 10 * (x + 19) x = 9

#	Problem	Correct Answer	Your Answer
2	If the area is 40 units², then what is x?	x = units
Solution Area of a trapezoid = ½ * height * (base₁ + base₂) base₂ = 7 + x 40 = ½ * 4 * (7 + 7 + x) x = 6

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