Mathematics Problem Solving Examples

Jakob wants to invite 20 friends to his birthday, which will cost his parents $250.

If he decides to invite 15 friends instead, how much money will it cost his parents? Retta put $100.00 in a bank account that gains 20% interest annually. And if she makes no withdrawals, how much money will be in the account after 1 year? How much gas did he use in total for the two years?

To return to the school, in which direction does the bus have to travel?

How many kilometres must it travel in that direction?

Some problems are obviously about a geometric situation, and it is clear you want to draw a picture and mark down all of the given information before you try to solve it. Notice none of the perfect squares end in 2, 3, 7, or 8.

But even for a problem that is not geometric thinking visually can help! This list suggests that perfect squares cannot end in a 2, 3, 7 or 8.

Accompanying each lesson is a copymaster of the problem in English and in Māori.

Choose a problem that involves your students in applying current learning.

Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. During gym class on Wednesday, the students ran for ¼ of a kilometre.

How many more marbles does Markus have in each bag? On Thursday, they ran ½ as many kilometres as on Wednesday.


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