Math Quiz Bee: DIFFICULT ROUND

Seven boys met each other at a party. Each of them shakes hands only once with each of the other boys. What is the total number of handshakes that took place?

• 21

• 14

• 49

• 42

The single proprietor of a small business pays his three employees with Php 10,000 each, two employees with Php 14,000 each, and five employees with Php 16,000 each. How much is the average salary of his small business?

• Php 13,800

• Php 14,000

• Php 13,000

• Php 14,800

A teacher is 15 years older than her student. In 15 years, the ratio of their ages will 3:2. Find their present ages.

• Teacher is 30 years old

  Student is 15 years old

• Teacher is 35 years old

  Student is 20 years old

• Teacher is 25 years old

  Student is 10 years old

• Teacher is 35 years old

  Student is 10 years old

Due to the increasing number of cases of Covid-19, additional quarantine facility is to be painted. Joshua can paint the facility within 15 days while his father can finish it in 10 days. How long will it take them to finish the job if they work together?

• 6 days

• 7 days

• 8 days

• 9 days

Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the once in front of it. What is the maximum number of people who can be seated in the music hall?

• 378 seats

• 375 seats

• 381 seats

• 384 seats

In the bible, Noah was instructed by God to construct an ark made by cypress wood. The ark was to be 300 cubits long, 50 cubits wide, and 30 cubits high. If a cubit was about 524 mm, approximate the dimensions of the ark in meters.

• 157.2 m x 26.2 m 15.72 m

• 1572 m x 262 m 157.2 m

• 15.72 m x 2.62 m 1.572 m

• 15720 m x 2620 m 1572 m

During the career week, 100 graduating Senior High School Scholastican students were asked about their preferred course in college. 44 preferred Accountancy, 52 preferred Engineering, and 33 students preferred both courses. How many students preferred neither of the two courses?

• 37 students

• 29 students

• 34 students

• 40 students

A poll was taken in a certain subdivision on the clean-up drive campaign. On the poll, it says that 47 families voted “No” and 235 voted “Yes”. What is the ratio of the families who voted No against the families who has Yes votes?

• 1:5

• 1:4

• 1:3

• 1:6

Bea encoded her book report at 7:30 p.m. and completed it at 10:15 p.m. How long did Bea encode her book report?

• 2 hr & 45 min

• 2 hr & 30 min

• 3 hr & 15 min

• 3 hr & 45 min

Due to the recent typhoon Ulysses, Loren donated her savings to those who were affected by the typhoon. Loren’s coin bank contains Php 200.00 in Php 5.00-coins and Php 10.00 coins. If there were 27 coins in all, how many coins of each kind were there?

• There were 14 – Php 5.00 and 13 – Php 10.00 coins.

• There were 15 – Php 5.00 and 12 – Php 10.00 coins.

• There were 10 – Php 5.00 and 15 – Php 10.00 coins.

• There were 11 – Php 5.00 and 16 – Php 10.00 coins.