12 Questions
What is the sum of 5 and 7?
12
What is the product of 3 and 4?
12
What is the result of $8 - 6$ ?
2
What is the value of $9 imes (4 - 2)$ ?
11
In a triangle, what is the measure of the third angle if the other two angles measure $60^{ ext{o}}$ and $75^{ ext{o}}$?
$120^{ ext{o}}$
If the radius of a circle is doubled, by how much does the area of the circle increase?
Increases by a factor of 4
If a cube has a volume of 64 cubic units, what is the length of each side?
$4 units$
What is the surface area of a sphere with a radius of 5 units?
$200 \ ext{ sq units}$
If the perimeter of a rectangle is 60 units and the length is 3 times the width, what is the area of the rectangle?
120 square units
A right circular cone has a radius of 6 units and a height of 8 units. What is the total surface area of the cone?
$130 ext{ } ext{units}^2$
If a cylinder has a volume of 200 cubic units and a height of 10 units, what is the radius of the cylinder?
5 units
A pyramid has a height of 12 units and a base area of 48 square units. What is the volume of the pyramid?
$144 ext{ } ext{units}^3$
Study Notes
Basic Operations
- The sum of 5 and 7 is 12.
- The product of 3 and 4 is 12.
- The result of 8 - 6 is 2.
- The value of 9 × (4 - 2) is 18.
Geometry
- In a triangle, the measure of the third angle is 45° when the other two angles measure 60° and 75°.
- If the radius of a circle is doubled, the area of the circle increases by a factor of 4.
- If a cube has a volume of 64 cubic units, the length of each side is 4 units.
- The surface area of a sphere with a radius of 5 units is 4π × 25 = 100π square units.
- If the perimeter of a rectangle is 60 units and the length is 3 times the width, the area of the rectangle is 450 square units.
- The total surface area of a right circular cone with a radius of 6 units and a height of 8 units is π × (36 + 48) = 84π square units.
- If a cylinder has a volume of 200 cubic units and a height of 10 units, the radius of the cylinder is 2√5 units.
- The volume of a pyramid with a height of 12 units and a base area of 48 square units is 192 cubic units.
Test your basic math skills with this quiz! Solve simple addition, multiplication, subtraction, and order of operations problems to check your understanding.
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