Lines & Angles
Triangles
Quads & Circles
Area
Camel Recipes
100

A line that cuts through 2 parallel lines.

What is a transversal?

100

State if these triangles are congruent and if yes, why.

Yes, by SAS because line AB is common.

100

Give the most precise name of the shape.

What is a rhombus?

100

Which numbers would be multiplied to find the area of the parallelogram below?


The formula for the area of a parallelogram is base × height. The base, or bottom of the parallelogram, is 12 inches.

100

If you can only draw three lines, how can you slice a pie into 7 pieces?


200

True or false: A plane contains an infinite number of lines.

What is true?

200

Write an inequality for x. 

2<x<18

200

The measure of each angle in a regular hexagon.

 What is 120 degrees?

200

What is the area of the shape below? Each of the measures is in inches.

The top and bottom rectangles have an area of 7 in × 2 in = 14 in2. The center rectangle has an area of 11 in × 6 in = 66 in2.

Adding the area of each of these rectangles up, we get a total area of: 14 + 66 + 14 = 94 in2.

200

The police rounded up Jim, Bud and Sam yesterday, because one of them was suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.

  • Jim: I’m innocent.
  • Bud: I’m innocent.
  • Sam: Bud is guilty.

If only one of these statements turns out to be true, who robbed the bank?

Bud is the only one telling the truth, so Jim is lying and he robbed the bank.


300


What is line a and line b?

300

The measure of x.


What is 4?

300

Reflect this across the y axis.


300

What is the area of the shaded donut below?

π (16)2 – π (4)2 =
803.84 – 50.24 =
753.6 ft2.

300

What is the smallest three digit palindrome divisible by 18? 

252

400

What is the measure of angle AJH? Explain why.

What is 117 because it is the sum of opposite interior angles.

400

Write an equation that would solve for h.


h = 100 * tan(18)

400

A circular trampoline has a net surrounding it that is 25.12 ft long.

What is the diameter of the trampoline?

8 feet

400

. Find the area of this section of a circle to the nearest tenth.


15.2 cm 2

400

Can you draw this shape without your pen leaving the paper and without retracing or crossing another line?


500

If line a and line b are parallel, describe the relationship between angle 3 and angle 6 . 


You cannot determine their relationship.

500

Please write a similarity statement for all similar triangles.

ABC ~ MBA ~ MAC

500

Find the value of x in the following figure:

From inscribed angle theorem,
∠AOB = 2∠ACB
50° = 2 * ∠ACB
∠ACB = 25°
In ΔAOC:
OA = OC (radii)
Since, Angles opposite to equal sides are equal.
∴ ∠OAC = ∠OCA
∠x = 25° (as ∠OCA = ∠ACB)

500

A circle of radius  is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle's area is shaded?  (Hint: the radius of semicircle is 4.)

Area of the circle inscribed inside the semicircle  Area of the larger circle (semicircle's area x 2) (4, or the diameter of the inscribed circle is the same thing as the radius of the semicircle). Thus, the area of the semicircle is  Part of the semicircle that is unshaded is  Therefore, the shaded part is

Thus the answer is

500

I need to enter a castle that is surrounded by a five meter wide rectangular moat filled with water.  I have an aversion for getting wet and only have two 4.8 meter long planks with no rope, nails, etc.  How do I get across?