Applied Mathematics For Teachers- Challenge Activity 2

  Express 53 = 125 in logarithm form.

• log₅125 = 3

• log₅3 = 125

• log₃125 = 5  

•   log₃5 = 125

The sum of the two numbers is 44. The difference is 8. Find the larger number.

• 22

• 24

• 26  

•  28

Joey and Natasha start from the same point and walk in opposite directions. Josie walks 2 km/h faster than Janna. After 3 hours, they are 30 kilometers apart. How fast did each walk?

• Natasha walks at 6 km/h and Joey walks at 4 km/h.

• Natasha walks at 4 km/h and Joey walks at 6 km/h.   

• Natasha walks at 2 km/h and Joey walks at 4 km/h.     

• Natasha walks at 4 km/h and Joey walks at 2 km/h.

If 6 times a number is decreased by 6, the result is the same as when 3 times the number is increased by 12. Find the number.

• 4

• 12 

• 5

• 6

In a bottle recycling drive at school, Jenny collected 7 bottles more than Terry. Together, they collected 65 bottles. How many bottles did Terry collect?

 

• 29

• 18

• 26

• 22

Find three consecutive integers such that the sum of the first and the third is 40.

 

• 15,16, and 17

• 18,19,20

• 19,20 and 21

• 22,23 and 24

Dr. C is 4 years younger than Dr. T. Three years from now, he will be two-thirds as old as Dr. T. Find their present ages.

• Dr. T is 6 years old, Dr. C is 2 years old

• Dr. T is 9 years old, Dr. C is 5 years old

• Dr. T is 10 years old, Dr. C is 6 years old

• Dr. T is 12 years old, Dr. Cis 8 years old

  If each sprinkler covers 6' X 6', how many sprinklers are needed for a 90' X 20' yard?

• 60

• 40

• 30

• 50

  In 8 years Jamie will be three times as old as she is now. How old is she now?

• 4

• 5

• 6

• 8

Jeson can type a committee report in 5 hours. Eduard, who is a slower typist, helped John, and together, they finished the report in 3 hours. How long would it take Nelson had he worked alone?

• 7 hours

• 7.5 hours

• 6 hours

• 8 hours