Solving Mathematical and Real-World Problems Involving All Forms of Rational Numbers

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.

If there were 75 cards in all, how many cards are left to be signed?

• 32

• 72

• 42

• 66

Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose beds next to her garden.Each side of a bed measures 10.5 feet. How many feet of fencing does Laurel need in all?

• 150

• 326

• 223

• 189

A city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed from the tank so that it has of the water that it started with?

• The technician must remove 7 more gallons of water for the tank to have 2/5 of the water that it started with.

• The technician must remove 27 more gallons of water for the tank to have 2/5 of the water that it started with.

• The technician must remove 3 more gallons of water for the tank to have 2/5 of the water that it started with.

On Monday, a company stock closed at a price of $30.80 per share. On Tuesday, it increased by $1.20 per share. On Wednesday, it fell by 6.25%. On Thursday, it fell by another 4%, and on Friday, it increased by 2.5%. What is the net change in the stock price from Monday to Friday?

• -$1.28

• -$0.40

• $0.40

• $2.00

A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games in all, how many games in the batch were not defective?

• 240

• 150

• 100

• 10

A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% percent are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin?

• 26

• 35

• 126

• 189

Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?

• $60.30

• $70.00

• $75.10

• $100.10

A painting measures 2.4 feet from left to right. It’s hung in the center of a rectangular wall measuring 20 feet from left to right. What is the distance between the right edge of the painting and the right edge of the wall? Assume that the painting does not tilt.

• 7.6 feet

• 8.8 feet

• 17.6 feet

• 18.8 feet