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View this and other average questions under the section: Average / Mean
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Student Problems

Topic: Fraction Problems
Strategy: Drawing diagrams
In some fraction problems the whole is not given. A common mistake you might make is to multiply the fraction by any of the numbers in your problem. Don't be too quick to multiply. I suggest drawing a diagram of the fraction you are unsure of, then use it later. Take a look at these questions to see how drawing helps.
  • James' Stamps
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Topic: Proft and Loss
Skill: Multiplying Decimals.

Remember that profit or loss is a change in the original price of an item.
  1. Every item starts off with a cost price.
  2. Prices change because profit is added or a loss is subtracted
  3. In the end, price of the item is its selling price.
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  • Cakes and slices
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Topic: Interpreting Remainders in Division Problems
Strategy: Division comes in two flavours
  1. Sharing - the equal groups are known. Ex. 7 marbles shared into 2 bags.
  2. Grouping - the number in each group is known. Ex. 7 marbles placed into groups of 2.
  • Darren Tins & Boxes
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What type of division is shown in this question?
a) Sharing
b) Grouping

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Topic: Number Patterns
Skill: Multiplying Decimals.

​Writing a number pattern requires 3 steps.
  1. Say how the pattern begins.
  2. Say if the pattern increases, decreases or repeats.
  3. Describe:
  • how the pattern increases or decreases by using (add, subtract, divide or multiply)
  • when does the core of the pattern repeat.
  • Question 1
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Topic: Problems involving Average
Strategy: It's important to remember that averages can change by either increasing it or decreasing it. Here is a look at an example question.
  • Ron's Score
  • Taxi Driver
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NB: There is a slight error in the problem (294 should be 304. ) 
​ Ron did 2 more tests, so his mean changed from 76 to 80. Let's take a look.
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Topic: Area Problems
Skill: Multiplying Decimals.

​Let's take a look.







  • Backyard & Dog Area
  • Truck & Blocks
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Topic: Associative Law of Addition
Strategy: It's important to remember the basic facts about common intervals. I explain them in this video.
  • Nakima & Kalipha
  • Concept Problem
  • Sandy & Sara's Bill
  • Mini Tablets
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Topic: Unequal Sharing
Strategy: Draw a diagram to explain the comparison statements.
In this question there is a change that results in an unequally shared number of oranges between the two children.

​Let's take a look.







  • Michael And Rudy's Oranges
  • Principal's Purchases
  • Dawn's Apples and Oranges​
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Hi Lisa, I hope this helps improve your understanding of bar models
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Changing ONE word in this question could make a BIG difference in the diagrams we draw. Let's take a look.
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Hi Annis, I hope this video clears up any confusion your child is having.
Strategy: In the past I would have mentioned "If a clue is not yet useful, rest it and move on." This is still an excellent suggestion but be aware of comparison statements like the one found in this problem. 
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Topic: Common Intervals
Let's learn about common intervals
Strategy: It's important to remember the basic facts about common intervals. I explain them in this video.
  • Playing Cards
  • Farmer's Posts
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Topic: Time
Strategy: Many time questions can be solved using a timeline.
In this question we can use the timeline to add or subtract time mentally. Remember students you must learn the skill of converting minutes to hours and hours to minutes.
  • Darryl's Journey
  • Bus & Train Schedule
  • School Schedule
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Hi Anjanique, I totally understand why this question could be a bit confusing. Here are tips for solving it.
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Topic: Bar Graphs

Top Tip: If a clue is not yet useful, rest it and move on. Be sure to come back to it when you can.
In this question students are given clues in order to complete a graph. Here are some things to pay attention to:
  • Intervals along the frequency line.
  • Be on the look out for comparison statements​
    • 4 more ... than ...
    • half as many ... to ...
  • Game Consoles
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Vertical Divider
Thank you, Jalon, for requesting the topic! Subtracting fractions can get tricky.
  • Write up
  • Concept Video
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Topic: Subtracting Fractions
If you're having a bit of difficulty with subtracting fractions, then maybe it's time to try it another way. Let's see if you understand it. After watching the video, go to your textbook and attempt a few problems that match this.
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Hi Talya and Zariah! Let's see the distributive law of multiplication in ACTION!
 Topic: Distributing Multiplication

Strategy: We can share one of the factors in a multiplication problem into an addition bond
This creates smaller multiplication problems that add to give the original product.

             20 x 13 = (20 x 10) + (20 x 3)
  • Question
  • Video 1
  • Video 2
  • Video Solution
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In this third video I explain how to calculate unknown amounts using the distributive law of multiplication.
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Understanding distributive law using area/arrays
Snap Testit
In this video I recap the use of the distributive law as an algorithm.
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In this third video I explain how to calculate unknown amounts using the distributive law of multiplication.
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Topic: Fractions (Line Models)

Strategy: Represent fractions on a number line.


Learners me be allowed to encounter different ways of representing fractions: linear, area and set models.

Too often, teachers focus on area models using rectangles or circles to describe fractions. 

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  • Math Lessons
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