Areas and Volumes
Find the volume of a cube with edge 5 cm.
125 cm³
What is the probability of rolling a number less than 3 on a fair die?
1/3
Steal Question
Which scholar wrote a book that laid the foundation for algebra and introduced the term "al-jabr"?
Muhammad ibn Musa al-Khawarizmi
What is log10100?
2
Simplify:
12−(5−3)+412 - (5 - 3) + 412−(5−3)+4
14
Steal Points
A rectangle is 10 cm long and 4 cm wide. A square of side 2 cm is cut out from it. What is the remaining area?
36 cm²
Two dice are rolled. What is the probability that both show the same number?
1/6
Which mathematician introduced the notation for functions, popularized the constant e, and made major contributions to graph theory and calculus?
Leonhard Euler
Simplify log28
3
Simplify:
2x−(3x−5)+x2x - (3x - 5) + x2x−(3x−5)+x
x+5
A rectangle is 12 cm by 10 cm. Inside it, there is a triangle with base 12 cm and height 5 cm. What is the area of the shaded region outside the triangle?
90 cm2
A bag has 2 red and 1 green ball. Two balls are drawn without replacement. What is the probability both are red?
1/3
Shield
Which mathematician developed formulas to calculate the volume and surface area of spheres and cylinders, laying the foundation for integral calculus?
Archimedes
Simplify log1010 + log10100
3
Simplify:
√50−√18+√2
3√2
What is the volume of a cylinder with height 10 cm and radius 3 cm? Use π = 3.
270 cm³
Hint
A bag has 4 red and 2 green balls. Two balls are drawn without replacement. What is the probability both are green?
1/15
Which mathematician, known as the "Prince of Mathematics," made groundbreaking contributions to number theory, astronomy, and magnetism from a young age?
Carl Friedrich Gauss
Simplify log10125 - log525
1
Double Points
Simplify:
2x + 3/4 - x-1/4
x/4 + 1
A cone and a cylinder have the same radius and height. If the volume of the cylinder is 150 cm³, what is the volume of the cone?
50 cm3
A bag has 5 red, 4 green, and 3 blue balls. Two balls are drawn without replacement. What is the probability that both are green?
1/11
Which mathematician became the first woman to win the Fields Medal for her pioneering work in geometry and dynamical systems?
Maryam Mirzakhani
Switch Question
Simplify log216 + log42
4.5
Simplify:
5a- [2a-(3-a)] + 4
2a+7