BISC Interschool Quantum Quest 2024- Round 2

Amir bought 3 identical notebooks and 2 identical pens. The total cost of the notebooks and pens was $26. The cost of each notebook is $4 more than the cost of each pen. Let the cost of each pen be p. what is the cost of each pen?

Options:

• cost of each pen is approximately $3

• cost of each pen is approximately $2

• cost of each pen is approximately $4

• cost of each pen is approximately $5

A large square of side-length 10 em contains a smaller square of side-length 4 em. as shown in the diagram. The corresponding sides of the two squares are parallel. What percentage of the large square is shaded?

• 25%

• 30%

• 40%

• 42%

After having played 200 games of chess. my winning rate is exactly 49%. What is the smallest number of extra games I need to play to increase my winning rate to exactly 50%?

• 1

• 2

• 3

• 4

(x+1) (x+1) is a factor of

• x²+1-2x

• x²+2x+1

• x²-2x+1

• 2x+1-x

Factorize 25x²y - 5xy

• 5xy (x - y)

• 5xy (5x + 1)

• 5xy(5x-1)

• 5xy (5x + 5)

Write the nth term formula for the geometric sequence.

3, -12, 48, -192

• f(n) = 4(3)^n-1

• f(n) = 3(4)^n-1

• f(n) = -4(3)^n-1

• f(n) = 3(-4)^n-1

A shirt originally costs $40. If it is on sale for 20% off, what is the sale price?

• $25

• $8

• $10

• $32

The monthly salary of an employee is L.E. 250 he spends L.E. 200 and saves the remainder. Find the ratio between this savings and the salary .

• 4 : 5

• 1 : 5

• 1 : 4

• 1 : 9

Find the surface area of the regular pyramid.

• 20 m²

• 16 m²

• 24 m²

• 12 m²

Find the volume of the triangular prism.

• 196 ft²
• 42 ft²

• 98 ft²
• 108 ft²