Problem No. 26. Kate and her candies

A good packing plan is difficult to make.

Kate has some number of candies. If she puts the same number of candies in each of her 7 bags, two candies will be left. If she adds one more bag and still try to put the same number of candies in each bag, seven candies will be left. We know that Kate has less then 30 candies. How many candies does Kate have?

Parent tip

Since the total number of candies is less then 30, you can try to solve a problem with real candies. Try to divide the candies in equal sized groups according to the problem's conditions.

Problem No. 25. Reading skills

Reading is the way to improve your reading skills!

To improve his reading skills, Scott reads a half and a sentence more from what he read the day before. How many sentences he has read in 7 days, if he read 30 sentences on the first day?

Student tip

Solve partially i.e. find how many sentences he read each day.

Problem No. 15. Jenn's blog

Jenn has a blog site. She started blogging on July 30 at 7.30 am. She is posting her posts at exactly 7 hours and 30 minutes apart. When will she post her 730th post?

Teacher tip

Suitable for practicing calendar calculations.

Problem No. 14. Two sisters

There have been two sisters. When the older sister was asked about their age, she said: "We had 730 months in total, 7 years and 30 months ago. Also, you have to know that I am 7 years and 30 months older than my sister." How old is each of the sisters?

Student tip

First find their age, 7 years and 30 months ago.

Problem No. 6. Clock hands revisited

How many times in a day the clock hands will form the same angle as the angle at 7.30?

Student tip

For a hint use Problem No. 3.

Problem No. 4. Airplane fly

The travel by plane from Paris,France to New York City, USA, takes about 8 hours. If a passenger starts his journey from Paris at 7.30 pm local time, when is he supposed to arrive at New York City, local time?

Teacher tip

Problems with an extra-mathematical knowledge are suitable to demonstrate the application of math and its interdisciplinary character. Here, the students should be familiar with or should first learn about time zones.

Problem No. 3. Clock hands

It is 7.30 now. How much time will it pass until the clock hands form the same angle again?

Student tip

Suppose that minute and hour hands move at a constant velocity each.

Problem No. 1. Digital Clock

It is 7.30 now. How long should we wait until the digital clock uses the same digits to display the time?

Teacher tip

Good recreational problem for a "warm up" activity at the beginning of the class.