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Fun Algebra

100

A fraction whose decimal expansion repeats forever is called ...

reoccuring

200

Two numbers whose LCM equals their product must be...

co-prime

300

A price increases by 10% and then decreases by 10%. How did the final price change?

Decreased by 1%

400

How can you tell if a number can be written as a terminating decimal?

if denominator is factors of 2 and 5 only. 

500

If HCF(a,b)=1 and HCF(a,c)=1, does it imply HCF(a,bc)=1? Explain.

Yes, because a and bc does bot have a common factor.

Theorems

100

A triangle with all sides different lengths is called ...

Scalene.

200

A statement accepted without proof is called an ... .

Axiom

300

How is the Factor Theorem derived from the Remainder Theorem?

ask your teacher

400

An equation of the form 𝑎𝑥 = 𝑏 is called a linear equation with one variable or
unknown, here 𝑎 and 𝑏 are some numbers, 𝑥 −variable. Is it true or false: A linear equation can have maximum one root.

False, when a=0;b=0 there are infinitely many solutions.

500

A quadratic equation in the variable 𝑥 is of the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0. Prove that one of the roots of a quadratic equation can be equal to zero if and
only if 𝒄 = 𝟎.

Omitted

Geometry

100

Three or more points that lie on a single line are said to be

Collinear Points

200

What do you call two angles whose measures sum to 90° ?

Complementary angles

300

Name the point where two rays meet to form an angle.

Vertex

400

What is the term for two non-adjacent angles formed by intersecting lines? 

Vertical Angles

500

If corresponding angles are equal, what can you conclude about the lines?

They are parallel

Probability

100

Batman, Superman, and Wonder Woman each roll a fair die once. Who is most likely to roll a prime number?

They all have the same probability! 😄

200

If 70% of people like pizza, 80% like burgers, and 60% like both, what percent like neither?

10%

300

In a class, 60% of students play football, 50% play basketball, and 30% play both. If a randomly chosen student plays football, what’s the probability they also play basketball?

0.5

400

There are only 𝑥 red marbles and 𝑦 green marbles in a bag. The probability of randomly selecting a green marble is 3/7 . The marble is then returned to the bag, and 2 more red marbles and 3 more green marbles are added. Another marble is taken at random from the bag, and the probability of selecting a green marble is now 6/13 . Find the original number of red marbles and the original number of green marbles in the bag by constructing a system of equation.

x=12 , y=9

500

If you Apparate in Harry Potter and have a 1% chance of splinching each time, what’s the chance you splinch at least once in 70 apparitions?

1 − (0.99)⁷⁰ ≈ 50.5%  

Discover

100

What is Aygun Kazimova's favourite maths topic?

Triangle congruency (SAS)

200

 I am an odd number. Take away a letter and I become even. What number am I?

Seven (take away ‘s’ = even)

300

Would you rather have:
A) A million dollars today, or
B) A penny doubled every day for 30 days?

B — over $5 million!

400

Which mathematician famously said, “Do not worry about your difficulties in mathematics; I can assure you mine are still greater”?

Albert Einstein

500

(𝑥; 𝑦) is the solution of equations below. 

 𝒙 + 𝒚 = 𝒂 + 𝟑 and 𝒙𝒚 = 𝟐𝒂 − 𝟕 Prove that for any value of 𝑎, 𝑥² + 𝑦² ≥ 22.

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