This mixed practice stop brings together 1 topics from Primary 6 Average: Mixed practice. Nothing on the question says which topic it comes from, so choosing the method is part of the skill. In the lesson. One we added up, and the other one the average gave us. And a day with none is one of them.
Lesson video, with the working
Mixed average questions
1 min 55 s
The film teaches 1 question. The question shows first; its working is written as the film explains it.
A stall sold 8, 0, 9 and 3 pies on the first 4 days. After the fifth day, the average number of pies sold in a day was 6. How many pies were sold on the fifth day?
Pies sold on 5th day = 30 − 20 = 10
Ans: 10
How to solve it
Ask which total holds the answer. The fifth day is inside the total for all 5 days, so take the first 4 days off it.
Add up the first 4 days: 8 plus 0 plus 9 plus 3 is 20 pies.
Use the average for all 5 days: 6 pies a day for 5 days is 6 times 5, which is 30 pies.
Take one total off the other: 30 minus 20 is 10 pies on the fifth day.
Count the day with 0 pies as a day.
There are two totals here, because there are two counts, 4 days and then 5. One we added up, and the other one the average gave us. And a day with none is one of them.
Practice questions with worked solutions
Question 1 is free to try. The other 5 open in the free trial, each with its full working.
How do you solve P6 average mixed practice questions?
Mixed questions bring the chapter's skills together in longer, multi-step questions.
What your child learns here
Mixed questions bring the chapter's skills together in longer, multi-step questions. Your child has to decide which total and which count each step needs, rather than being told by the page title.
Decide when a question needs two totals because the count changes.
Remove or add a value before averaging what is left.
Count a zero as data inside a longer chain of steps.
Combine two groups of different sizes through their totals.
Does the answer make sense?
Removing a value below the average must raise the average of what is left, and removing one above it must lower it. So when the fitness class average goes up after a week is struck off, your child should find that week's attendance below the old average of 26.
How to practise these questions
This set mixes the Average chapter's question types, so your child chooses between working with totals, counts and averages. Basic questions remove one value and find the new average. Intermediate questions add combined groups, zeros in the data, and averages within a number pattern. Challenge questions stack two changes to the count, or give one group's average only as a difference, and if your child stalls, read the written step-by-step solution.
Questions parents ask
What makes mixed average questions harder? The page title no longer says which skill is needed. Your child has to decide which total and which count each step uses, and spot when the count changes.
Should my child find the total first in every average question? Most average questions go through a total, because totals can be added and subtracted while averages cannot. Writing 'total = average × number of data' as a first line is a good habit.
What should my child know before trying mixed average questions? Finding an average, finding a missing value, and finding a new average after a value joins. Each of these has its own page in this chapter.
