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# Math and Arithmetic

Cards in this guide (26)
Four children were born one year apart The oldest child is 12 How old are the other three children from oldest to youngest

11, 10, and 9

The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg

The shorter leg is 9 feet long

Five more than four times a number

hjhjghj

Mr and Mrs Snow had four children in two year intervals The sum of the ages of the children is 36 List the ages of the children from youngest to oldest

6, 8, 10, and 12

A boat can travel from its dock to a town downriver with a 7 mph current in 10 hours The return trip against the same current takes 15 hours What is the speed of the boat in still water

35 mph

Marys paycheck was for 600.00 When she cashed her check at the bank the teller gave her a total of 40 bills both tens and twenties How many tens did the teller give Mary

20

Tony had 13 bills in his wallet They were all fives or tens The total amount of money in his wallet was 90 How many five dollar bills did he have in his wallet

8

Cynthia sold 348 tickets to the school basketball game Tickets cost 1.25 for people with an activity pass and 3.00 without the activity pass The total receipts for the game were 613.50 How many

246

Marcus has a total of 10 nickels and dimes in his pocket He has a total of 70 cents How many dimes does he have in his pocket

4

The area of a rectangle is 48 square feet The length is two feet longer than the width What is the width of the rectangle

The width is 6 feet. The length is 8 feet.

Perry has a total of 25 five dollar bills and ten dollar bills in his pocket The value of these bills is 175 How many ten dollar bills are in Perry's pocket

10

The sum of the digits of a two-digit number is 10 if the digits were reversed the new number would be 54 less than the original number find the original number

82

8+2=10

82-28=54

A Piper Cub can cover 500 miles in the same amount of time it takes a jet plane flying 250 miles per hour faster to cover 1500 miles How fast is the Piper Cub flying

A Piper Cub can cover 500 miles in the same amount of time it takes a jet plane flying 250 miles per hour faster to cover 1500 miles. Piper Cub is flying 125 mph.

The reciprocal of a number plus the reciprocal of three times the number equals one third

4

The hypotenuse of a right triangle is 8 cm long One leg is 2 cm longer than the other Find the length of the longer leg to the nearest tenth

6.6 cm

The hypotenuse of a right triangle is 6 m long One leg is 1 m longer than the other Find the length of the shorter leg Round to the nearest hundredth

The shortest leg is 3.72 m long.

A private plane leaves an airport and flies due east at 192 mile per your two hours later a jet leaves the same airport and flies due east at 960 miles per hour how far will the private plane fly befo

A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How far will the private plane fly before it is passed by the jet?

Jerry is experimenting with chemicals in the laboratory He mixes a solution that is 10 percent acid with a solution that is 30 percent acid How much of the 10 percent acid solution will be needed to m

10 liters

A chemist has one solution that is 80 percent acid and another solution that is 30 percent acid How much of the second 30 percent solution is needed to make a 400 L solution that is 62 percent acid

144liters

An airplane flew for 4.23 hours with a 25.5kmhr tail wind The return flight against the same wind took 4.97 hours Find the speed of the plane in still air

317

The width of a rectangle is 4 feet less than the length the area is 320 feet find the width of the rectangle

The width is 16 feet

The reciprocal of a number plus the reciprocal of twice the number equalsone half Find the number

The reciprocal of a number plus the reciprocal of twice the number equals

Find the number. 1/2 find the number

Linda's paycheck was for 500 When she cashed her check at the bank the teller gave her a total of 30 bills both tens and twenties How many twenties did the teller give Linda

the teller gave her 20 twenties :) (olivia)

The 18 wheeler is traveling at 8 mph more than a rental truck the 18 wheeler drives 220 miles and the rental truck drives 198 miles how fast was the rental truck goin

72 MPH.

The sum of two numbers is 25 and the difference of their square is 75 what are the two numbers

The two numbers are 11 and 14. 11 + 14 = 25, 142 - 112 = 75

The speed of a freight train is 14 km hr slower than the speed of a passenger train The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km Find the speed

66 & 80 kph respectively

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