Mathematics Olympiad Grade 6

Emma is studying exponential notation and comes across the expression 2⁴ in her textbook. She wants to find the value of this expression to understand it better. What is the value of 2⁴?

• 8

• 12

• 16

• 32

Which of the following scenarios correctly represents an integer?

• A car traveling at a speed of 60.5 km/h

• A temperature of -5°C

• A fraction of a pizza that is ¾

• 1.5 liters of water in a bottle

A store is having a sale with a 35% discount on all items. If an item originally cost P60.00, how much is the item now?

• ₱48.00

• ₱39.00

• ₱49.00

• ₱69.00

If the ratio of the edges of cube A to B is 1:2, which of the following ratios form proportion?

• 1:4

• 4:8

• 3:5

• 2

Evaluate this expression: 10 x 8 ÷ 4² + (7 - 2). Which should be done first in the given expression?

• 10 - 8

• 8 ÷ 4

• 4 + 7

• (7-2)

An engineer hired 150 workers to pave a road in 25 days. How many workers would be hired to do the same work in 30 days?

• 125 workers

• 150 workers

• 180 workers

• 185 workers

A total of 1 900 hotdogs were brought to the school camping. The pupils ate 1 216 of the hotdogs. What percent of hotdogs left was?

• 36%

• 46%

• 56%

• 25%

A mountain climber is at an elevation of 150 meters below sea level. He climbs up to 50 meters. Which integer correctly describes his new position relative to the starting point?

• + 150

• - 150

• + 100

• − 100

Rey takes the elevator in going up to his office in the 10th floor. When he reaches the 10th floor, he receives a text message from his boss telling him to go the conference room which is 5 floors down. At what floor does the elevator stops?

• 50th

• 15th

• 5th

• 2nd

During summer, the height of the water in a 5 feet swimming pool decreases by 4 inches each week because of evaporation. How deep is the water in the pool after five week period?

• 60 inches

• 40 inches

• 30 inches

• 10 inches