FIRST of all, there are 9 topics included and 4 worksheets where they have 25, 20, 15 and 10 problems per topic respectively.
SECOND, many of these exercises are departures from what is normally taught but they are in complete agreement with people who are experts at mental math.
THIRD, these have been some of my favorite drills that I do with my secondary school at-risk students who never learned arithmetic. You can project these materials onto the whiteboard, construct your own templates on the whiteboard or just use these materials every so often. I use most of them:
1. MULTIPLICATION by powers of 10 (and some multiples of 10) with numbers that have decimal portions (such as 4.2) can be useful after explaining how easy it is to do this based on the decimal system's beauty!
2. DIVISION by powers of 10 (and some multiples of 10) with numbers that have decimal portions (such as 4.2) can also be very useful. believe me, most secondary students that I come across cannot do these!
3. SUBTRACTION of 3-DIGIT NUMBERS utilizing COMPLEMENTS truthfully is probably only for advanced students as the technique is one of the cornerstones of advanced mental math.
4. ADDITION of 3-DIGIT NUMBERS (from LEFT to RIGHT) also is probably only for advanced students as the technique is another of the cornerstones of advanced mental math.
5. SUBTRACTION of 4-DIGIT NUMBERS utilizing COMPLEMENTS merits the same comment as (3) above.
6. COMPLEMENTS of numbers with respect to 1,000 is actually the exercise that makes (3) above possible and should precede (3).
7. COMPLEMENTS of numbers with respect to 60 is actually an extremely handy exercise in telling time--and is a skill virtually every student I have ever come across is ignorant of.
8. COMPLEMENTS of numbers with respect to whole numbers is also an extremely handy exercise in dealing with certain fraction problems: 5 - 2/5 = 4 + 3/5, which is done mentally by using the complement of 2 with respect to 5.
8. COMPLEMENTS of numbers with respect to 100 is also an extremely handy exercise in dealing money and decimals in general.
All in all, these are some of my favorite drills. The students end up being very proud of themselves. Take a look at the PREVIEW and you will get a good idea of the rest.
[The problems in All WORKSHEETS and PREVIEWS are printed in difficulty (1 [easy], 2 [not so easy], 3 [proficiency] up to 4 [mastery]) order within a skill. The actual difficulty level appears slightly to the left of the DK box of each problem in a very small font. Also, instructional references appear on worksheets but are optional on quizzes.]
You might also want to check out Grade 5 Summary
, Level 4 (most CHALLENGING) problems
, CONSTRUCTION problems
, GIFTED/CHALLENGING problems
, WORD problems
, MATH PUZZLERS
, STEM problems
or, finally, the REVIEW of 4th grade concepts
for the 5th grade.