1. Numbers & Operations
2. Properties of Integers (zero is an integer - both positive and negative numbers)
3. Consecutive Integers (follow one another and differ by 1. Example is 6,7,8,9 are consecutive)
4. Value of number (does not change when multiplied by 1. 13 x 1 = 13)
5. Real Numbers (ordering, arranging numbers from smallest to greatest or from greatest to smallest > <)
6. Order of Operations PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
7. Decimals (place value starting from left of decimal point - tenths, hundredths, thousandths)
8. Multiplying, Dividing, Adding, Subtracting Decimals
9. Fractions, Rational Numbers, Scientific Notation
10. Reciprocal of any number (n is expressed as 1 over n or 1/n)
11. Product of a number and reciprocal (always 1. Reciprocal of 3 is 1/3 and 3 x 1/3 = 3/3 which is 1)
12. Fraction to Decimal (divide numerator by denominator 3/4 = 0.75)
13. Rational Number (fraction whose numerator and denominator are both integers and denominator does not equal 0)
14. Scientific notation (when numbers are very large or small 667,000,000 is written as 6.67 x 10 ^8
15. Ratio, proportion, percent
16. Ratio of 1 to 5 is 1/5 or 1:5 (be sure to differentiate between part-part and part-whole ratios) example: 2 cups of flour: 1 cup of sugar is a part-part ratio. One group of students being compared to entire class it is a part-whole ratio 13 girls: 27 students(
17. Squares and Square root (size=9)(a number is considered a perfect square when the square root of that number is a whole number. 25 is a perfect square because square root of 25 is 5)[/size]
18. Arithmetic sequence, Geometric sequence
19. Factors and multiples
20. Prime number factors, common factors, greatest common factor (gcf)
21. Common multiples, multiples, least common multiples (LCM)
22. Commutative property of multiplcation
23. Distributive property of multiplication
24. Associative property of multiplication
25. Mean, Median, and Mode
26. Probability and outcomes
27. Absolute value
28. Factoring, Polynomials (use distributive property a(b + c) = ab + ac)
29. FOIL
30. Exponents, inequalities
31. Word problems - greater than, more than, and sum of (+) less than, fewer than, and difference (-)
32. Of and by means multiplication (x) and per means division (/)
33. Distance = rate x time
34. Simple annual interest - principal x interest rate x time Example: $10,000 at 6.0% interest for 1 year. You would earn 10,000 x 0.06 x 1 or $600 in interest during that year --- if interest was compounded, interest must be computed on the principal as well as on the interest that has already been earned
35. Geometry
36. Coordinate geometry (x,y) plane
37. Slope of line, slope intercept, parallel, perpendicular lines
38. Find distance between 2 points on plane- use distance formula
39. To find midpoint of line, use midpoint formula
40. Properties of triangles, equilateral triangle, isoceles, right and sum of interior angles
41. Perimeter (p) is sum of lengths
42. Area is 1/2 (base)(height)
43. Quadrilaterals, lines and angles
44. Paralleogram
45. Area, rectangle is a polygon
46. Squares, line, line segment (acute, obtuse, and right triangles)
47. Other polygons (pentagon, hexagon, octagon)
48. Circle, radius, and diameter (area circumference, complete arc is 360 degrees)
49. 3D figures
50. Formula for volume (v) of rectangular solid is v=lwh where l is length, w is width, and h is height.
51. Formula for surface area of rectangular solid is 2(wl + lh + wh)
52. Standard deviation, frequency distribution table
Quant section on the GMAT = 37 questions for 75 minutes
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