Calculate volumes of cubes/cuboids
In-depth Investigation: Queued Cubes
Children apply a combination of knowledge of 3-D shape, area and volume to solve a problem that introduces surface area.
Add/subt whole numbers; solve problems
Use short/long division in problems
In-depth Investigation: Why is it so?
Children identify a pattern in the division of a total of six numbers created using the same 3 digits. They then use algebra to explain why it is so.
Use short/long multiplication in problems
In-depth Investigation: Riveting Reversals
Multiply 3-digit numbers with consecutive digits by a 2-digit number; reverse the 3-digit number and repeat. Find the difference between the two answers.
Time intervals, timetables, 24-hour clock
In-depth Investigation: 5 on the Clock
On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12-hour clock over a whole day? 5 on the Clock from nrich.maths.org.
Pie-charts; find the mean of a data set
In-depth Investigation: Mean Score
Children design a dice so that the mean score is 5.