Free Printable Ellipse Quiz

1.

Which is a horizontal ellipse?

a)

$\frac{x^2}{4}+\frac{y^2}{9}=1$

b)

$\frac{x^2}{16}+\frac{y^2}{9}=1$

c)

$\frac{x^2}{16}+\frac{y^2}{16}=1$

d)

$x^2+\frac{y^2}{49}=1$

2.

What are the vertices of

\frac{x^2}{16}+\frac{y^2}{25}=1?

a)

$\left(-4,\ 0\right)\ and\ \left(4,\ 0\right)$

b)

$\left(0,\ -4\right)\ and\ \left(0,\ 4\right)$

c)

$\left(-5,\ 0\right)\ and\ \left(5,\ 0\right)$

d)

$\left(0,\ -5\right)\ and\ \left(0,\ 5\right)$

3.

What is the equation of the given graph?

a)

$\frac{x^2}{7}+\frac{y^2}{6}=1$

b)

$\frac{x^2}{14}+\frac{y^2}{12}=1$

c)

$\frac{x^2}{49}+\frac{y^2}{36}=1$

d)

$\frac{x^2}{36}+\frac{y^2}{49}=1$

4.

What is the center of the ellipse?

a)

(0, 0)

b)

(1, 5)

c)

(1, 0)

d)

(0, 1)

5.

Identify the center and the length of a and b.

a)

C: (0,4) a= 25, b=4

b)

C: (0,0) a= 4, b=25

c)

C: (0,5) a= 2, b=5

d)

C: (0,0) a= 5, b=2

6.

What is the center of the given equation?

a)

(h, k) = (4, 3)

b)

(h, k) = (-4, -3)

c)

(h, k) = (-4, 3)

d)

(h, k) = (4, -3)

7.

In an ellipse, what is the length of the minor axis?

a)

a

b)

2a

c)

b

d)

2b

e)

c

8.

In an ellipse, what distance does c represent?

a)

The distance from the center to a vertex

b)

The distance from the center to a co-vertex

c)

The distance from the center to a focus

d)

The length of the minor axis

e)

The length of the major axis

9.

In an ellipse, what distance does b represent?

a)

The distance from the center to a vertex

b)

The distance from the center to a co-vertex

c)

The distance from the center to a focus

d)

The length of the minor axis

e)

The length of the major axis

10.

An elliptical pool is to be built with two mountains located at the foci. The width of the pool is 6 meters, and the distance between the two fountains is 8 meters. What is the length of the pool?

(a)

11.

The ceiling of an elliptical whispering chamber is 17 feet tall at its highest point. They both want to test the chamber's acoustics, so both of them stood 10 feet away from the center on a horizontal line. how long is the horizontal distance between the two walls that pass through the point Alex and Com stand?

a)

$389$ feet

b)

$\sqrt{389}$ or 19.72 feet

c)

189 feet

d)

$\sqrt{189}$ or 13.75 feet

12.

Is the major axis of the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ vertical or horizontal?

a)

vertical

b)

horizontal

13.

Is the major axis of the ellipse $\frac{x^2}{25}+\frac{y^2}{64}=1$ vertical or horizontal?

a)

vertical

b)

horizontal

14.

Identify a and b for the equation $\frac{x^2}{64}+\frac{y^2}{121}=1$

a)

a= 121, b=64

b)

a= 11, b=8

c)

a= 8, b=11

d)

a= 64, b=121

15.

Identify the center of the ellipse: $\frac{\left(x-7\right)^2}{36}+\frac{\left(y+4\right)^2}{9}$

a)

(0,0)

b)

(-7,4)

c)

(7,4)

d)

(7,-4)

16.

Identify the center of the ellipse: $\frac{\left(x-5\right)^2}{9}+\frac{\left(y-6\right)^2}{100}$

a)

(0,0)

b)

(5, -6)

c)

(5, 6)

d)

(-5, -6)

17.

Name the center of the ellipse and the a and b values: $\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$

a)

Center: (0, -2)

a = 100

b = 25

b)

Center: (0, 2)

a = 10

b = 5

c)

Center: (0, -2)

a=10

b=5

d)

Center: (0, 2)

a=100

b=25

18.

Find the equation, in standard form, of the ellipse with the center (2,1), length of vertical major axis of 8 units and length of semi minor axis of 3 units.

a)

$\frac{\left(x+2\right)^2}{16}+\frac{\left(y+1\right)^2}{9}=1$

b)

$\frac{\left(x-2\right)^2}{16}+\frac{\left(y-1\right)^2}{9}=1$

c)

$\frac{\left(x-2\right)^2}{9}+\frac{\left(y-1\right)^2}{16}=1$

d)

$\frac{\left(x+2\right)^2}{9}+\frac{\left(y+1\right)^2}{16}=1$

19.

Find the equation, in standard form, of the ellipse with a length of semi major axis of 10 units, foci 5 units left and right of the center (-3,4).

a)

$\frac{\left(x+3\right)^2}{100}+\frac{\left(y-4\right)^2}{75}=1$

b)

$\frac{\left(x-3\right)^2}{100}+\frac{\left(y+4\right)^2}{75}=1$

c)

$\frac{\left(x+3\right)^2}{75}+\frac{\left(y-4\right)^2}{100}=1$

d)

$\frac{\left(x-3\right)^2}{75}+\frac{\left(y+4\right)^2}{100}=1$

20.

Find the equation, in standard form, of the ellipse with the center(5,6), length of vertical semi major axis of 10 units and semi minox axis of 4 units.

a)

$\frac{\left(x+5\right)^2}{100}+\frac{\left(y+6\right)^2}{16}=1$

b)

$\frac{\left(x-5\right)^2}{100}+\frac{\left(y-6\right)^2}{16}=1$

c)

$\frac{\left(x-5\right)^2}{16}+\frac{\left(y-6\right)^2}{100}=1$

d)

$\frac{\left(x+5\right)^2}{16}+\frac{\left(y+6\right)^2}{100}=1$

Ellipse Quiz

Total questions: 20

Worksheet time: 34mins

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