1. Numbers and Operations
Arithmetic:
Numbers and Operations

2. General Reminders: There are multiple ways to get to the right answer.
If you know how to solve it, then solve it.
If you don’t know how to solve it, remember:
Variables in the answer choices = Make a Target
Numbers in the answer choices = Plug-n-Chug
Grid-in = you might still be able to Target or Plug, depending on the question

3. Number Properties Watch out for negatives, positives, odds, evens
These are simple concepts, so watch for obfuscation
New wrinkle: the “capital letter” problem

4. Number Properties Watch out for negatives, positives, odds, evens
These are simple concepts, so watch for obfuscation
New wrinkle: the “capital letter” problem

5. Number Properties Watch out for negatives, positives, odds, evens
These are simple concepts, so watch for obfuscation
New wrinkle: the “capital letter” problem

6. Number Properties Watch out for negatives, positives, odds, evens
These are simple concepts, so watch for obfuscation
New wrinkle: the “capital letter” problem

7. Divisibility Watch out for evens and odds
Remember how to factor (times tables)
Prime factors will come up
You are likely to be asked to do remainders once

8. Divisibility Watch out for evens and odds
Remember how to factor (times tables)
Prime factors will come up
You are likely to be asked to do remainders once

9. Divisibility Watch out for evens and odds
Remember how to factor (times tables)
Prime factors will come up
You are likely to be asked to do remainders once

10. Divisibility Watch out for evens and odds
Remember how to factor (times tables)
Prime factors will come up
You are likely to be asked to do remainders once

11. Number Lines
Again, these are simple concepts, so watch for obfuscation
Remember that the figure is not always drawn to scale
Relationships might be more important than actual values

12. Number Lines
Again, these are simple concepts, so watch for obfuscation
Remember that the figure is not always drawn to scale
Relationships might be more important than actual values

13. Absolute Value
You might have to solve twice – once for a negative answer and once for a positive
This is a favorite type of question for grid-ins, especially when combined with inequalities.

14. Absolute Value
You might have to solve twice – once for a negative answer and once for a positive
This is a favorite type of question for grid-ins, especially when combined with inequalities.

15. Exponents You must have the rules memorized
Remember that a fractional exponent is the same as a root
Remember that a negative exponent is the same as the reciprocal

16. Exponents You must have the rules memorized
Remember that a fractional exponent is the same as a root
Remember that a negative exponent is the same as the reciprocal

17. Exponents You must have the rules memorized
Remember that a fractional exponent is the same as a root
Remember that a negative exponent is the same as the reciprocal

18. Exponents You must have the rules memorized
Remember that a fractional exponent is the same as a root
Remember that a negative exponent is the same as the reciprocal

19. Exponents You must have the rules memorized
Remember that a fractional exponent is the same as a root
Remember that a negative exponent is the same as the reciprocal

20. Ratios Sometimes a:b notation is better than a/b notation
Remember that ratios describe relationships of multiples, not discrete numbers
Be prepared for long word problems; try using actual amounts (like Make a Target)
Rates are a type of ratio

21. Ratios Sometimes a:b notation is better than a/b notation
Remember that ratios describe relationships of multiples, not discrete numbers
Be prepared for long word problems; try using actual amounts (like Make a Target)
Rates are a type of ratio

22. Ratios Sometimes a:b notation is better than a/b notation
Remember that ratios describe relationships of multiples, not discrete numbers
Be prepared for long word problems; try using actual amounts (like Make a Target)
Rates are a type of ratio

23. Percents
Be careful about terminology; for example, to increase an amount by 100% is to double it.
More abstract percent problems are good for Targeting; choose 100 for everything to minimize calculation errors

24. Percents
Be careful about terminology; for example, to increase an amount by 100% is to double it.
More abstract percent problems are good for Targeting; choose 100 for everything to minimize calculation errors

25. Averages
Not matter how abstract the problem is, it always boils down to the average forumla
Do not average averages! Find the total sum and divide by the total number of terms

26. Sequences
Sometimes, the formula isn’t appropriate.

27. Sets
The elements don’t have to be just numbers

28. Permutations
Order matters
Be sure you know how to use your calculator to do these; otherwise, you’ll need the formula
Use common sense to figure out what you need
In a race with 10 horses, how many possible trifectas (first three finishers) are there?

29. Combinations Order does not matter
Be sure you know how to use your calculator to do these; otherwise, you’ll need the formula
Use common sense to figure out what you need

30. Logic
Sometimes the most time-consuming, so they make good omission candidates
Take them step-by-step
Drawing a chart, diagram, or equation can help

31. Next up…
Algebra