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. 24. Three friends

Who is lying?

Ann says "Mine watch is showing 7.30." Betty says "Mine and Ann's watches are showing 7.30." Cintia says "Mine or Betty's watches are not showing 7.30." Only one of three friends is lying. Which one could be lying? If you are allowed to chose, which watch will you want to see, to be certain who is lying?

Teacher tip

Use occasionally logic puzzles to exercise students' logical reasoning.

Problem No. 23. 7 families and a river

A river crossing problem!

7 families with a mother, a father and a daughter each, come to a river they need to cross. There is only one boat for two persons. Only fathers know how to sail the boat. A daughter can be alone only with one of her parents. How can these 7 families cross the river under these conditions? How many times will the river be crossed, less or more than 30?

Parent tip

Explore different combinations and have a good time drawing, sketching, writing the solution. You can even make a paper models for each member of the story and solve the problem through play.

Problem No. 22. Lines on a plane

Let's draw lines!

Is it possible that 7 lines on a plane have 30 intersection points in total? Can they have twenty intersection points?

Student tip

Find the maximum number of intersection points. Start with two lines, add one at a time, until you reveal the pattern.