Mathematics - Word Problems and Geometry Flashcards

1
Q

Ms. Smith has 24 fruits and twice as many vegetables. How many total plants does she have?

A

24x2=48
48+24= 72
Answer: 72

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2
Q

Joe was driving at 30 miles per hour. He is trying to get to Cathie’s house, which is 26 minutes away. How many miles away is her house.

A

30 mph = 2 miles per minute
26/2=13
Answer:13

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3
Q

Joe ran a 5 mile race in 45 minutes. At what rate did he run?

A

Distance=rate x time
5 = 45 x rate
45/5 = 9
9 minutes per mile
60/9 = 6.6666666…

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4
Q

Jonny is taller than Martha. Sam is taller than Jack.
Jack is the same height as Connor. Connor is Shorter than Sam but taller than Jonny. Place them in the order: tallest to shortest.

A

Sam, Jack/Connor, Jonny, Martha

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5
Q

If the diameter of a circle is 5, what is the radius? What is the area?

A

The radius is: 5/2 which is 2.5
To calculate the area use A=π r^2
2.5 * 2.5 = 6.25
6.25 * 3.14 = 19.625

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6
Q

What does each mean?
Tri -
Hept -
Pent -
Hex -
Quad -
Octa -

A

Tri - Three
Hept - Seven
Pent - Five
Hex - Six
Quad - Four
Octa - Eight

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7
Q

What is the interior sum of the angles for this shape?
Triangle

A

180˚

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8
Q

What is the interior sum of the angles for this shape?
Square

A

(4-2)*180˚= 360˚

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9
Q

What is the interior sum of the angles for this shape?
Hexagon

A

(6-2) * 180˚ = 720˚

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10
Q

(n-2) * 180˚ is the equation for what?

A

The sum of interior angles of a shape. (n = # of sides)

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11
Q

What are Congruent Angles?

A

Angles of the same measure, don’t have to be facing the same direction.

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12
Q

What is a Straight Angle?

A

180˚ and changes direction.

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13
Q

What is a Transversal Line?

A

A line that crosses two other lines

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14
Q

What are Congruent Triangles?

A

Triangles that have same lengths and angles.

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15
Q

What is an Equilateral Triangle?

A

A triangle that has equal angles and sides

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16
Q

What is an Isosceles Triangle?

A

A triangle with two sides of equal length and two equal angles.

17
Q

What is a Scalene Triangle?

A

A triangle with three different lengths and three different angles.

18
Q

How to solve the area of a rectangular prism?
What about the volume?

A

Area = 2(wh) + 2(lw) + 2(hl)
Volume = l
w*h

19
Q

How to find the volume of a cylinder

A

h * π r^2

20
Q

What is a complementary angle?

A

Two angles that can be added together and create the sum of 90˚.