PSAT Practice Math Test

Which of the following expressions is equivalent to ( a + b) ( a - b)

• a^{2 -} b²

• ( a+b)²

• ( a-b)²

• ab( a-b)

• ab( a+b)

A combination lock uses a 3-digit code. Each digit can be any one of the ten available integers 0-9. How many different combinations are possible?

• 9

• 1000

• 30

• 81

• 100

A tire on a car rotates 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (Kilometers per hour). What is the circumference of the tire in meters?

• 50,000/2^*n

• 50,000/60 x 2^*n

• 50,000/500 x 2^*n

• 50,000/60

• 10/6

Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining from his bonus. What was the total amount of Chan's bonus?

• $2,000

• $4,000

• $6,000

• $8,000

Dorothy is half her sister's age. She will be three-fourths of her sister's age in 20 years. How many years old is she?

• 10

• 15

• 20

• 25

• 30

The Charleston Recycling Company collects 50,000 tons of recyclable material each month. The chart shows the kinds of materials that are collected by the Company's five trucks. Approximately how much paper is recycled every month?

• 40,000 Tons

• 50,000 Tons

• 60,000 Tons

• 15,000 Tons

• 20,000 Tons

The Charleston Recycling Company collects 50,000 tons of recyclable material each month. The chart shows the kinds of materials that are collected by the Company's five trucks. What is the second most common material that is recycled.

• Cardboard

• Glass

• Paper

• Plastic

Arrange the following numbers from least to greatest. 2³, 4², 6⁰, 9, 10¹.

• 2³, 4², 6⁰, 9, 10¹

• 6⁰, 9, 10¹, 2³, 4²

• 10¹, 2³, 6⁰, 9, 4²

• 6⁰, 2³, 9, 10¹, 4²