Pi Day Mathematics Competition 2017

How many of the following statements are correct? •π is the ratio of the circumference to the diameter of a circle •π=3.14 •π=22/7 •π is an irrational number.

• 4

• 3

• 2

• 1

• 0

Omar decides to go on a long drive of 10,000 km in his new four wheeled car. He occasionally swaps his spare tire so that all five tires are used for the same distance when he reaches his destination. How many kilometers will each tire drive?

• 7000

• 8000

• 8500

• 9500

• cannot be determined

There are nine marbles placed from left to right. The marbles are of four colors: blue, green, red, and blue. We know the following facts about the way marbles are placed: i. The marbles on positions 1, 3, and 5 are red, ii. Exactly two marbles are green, iii. The only blue marble is on the seventh position, iv. At least one yellow marble is between two green marbles. v. Marbles on positions 8 and 9 are both yellow. What is the color of the marble at position 4?

• Blue

• Green

• Red

• Yellow

• Cannot be determined.

Suppose that |x−4|=y, where x<4. What is the value of x−y?

• −4

• 4

• 4−2y

• 2y−4

• |2y−4|

The number 8^4/2 is the same as which of the following?

• 2^4/8

• 2^12/2

• 4^16

• 16^12

• 256^2

(1−√2)^2017 × (1 + √2)^2016 is equal to

• −1

• 1

• 1+√2

• 1−√2

• √2−1

In January, a local stationery company reduced the price of calculators by 20%. There was a second round of discounts in February and prices were reduced by 10% (from the discounted prices in January). If a particular calculator costs QR 288 now, what was its original price before the discounts?

• QR 320

• QR 360

• QR 400

• QR 411.43

• QR 450

Both roots of the quadratic equation x^2−25x+c are prime numbers. What is the number of possible values of c?

• 0

• 1

• 2

• 3

• −4

Which of the following is the set of all real numbers x satisfying the inequality (3−x)(x^2+2x+8)/(x^2−9)−0?

• (−1,−3)

• (−3,3)

• (−3,4)

• (3,4)

• (3,1)

What is the surface area of the given shape? 3m 6m

• 60πm^2

• 72πm^2

• 90πm^2

• 108πm^2

• 216πm^2