General GRE Math Study
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56 terms
Terms | Definitions |
|---|---|
 What is the divisibility rule for 2? | The last digit must end in 0, 2, 4, 6, or 8. |
| What is the divisibility rule for 3? | Sum all digits and divide by 3. |
| What is the divisibility rule for 4? | Divide the last two digits by 4. |
| What is the divisibility rule for 5? | The last digit ends in 0 or 5. |
| What is the divisibility rule for 6? | The number is divisible by 2 and 3. |
| What is the divisibility rule for 7? | No simple rule. |
| What is the divisibility rule for 8? | Divide the last 3 digits by 8. |
| What is the divisibility rule for 9? | Sum the digits of the number and divide by 9. |
| 11²= | 121 |
| 12²= | 144 |
| 13²= | 169 |
| 14²= | 196 |
| 15²= | 225 |
| 16²= | 256 |
| 17²= | 289 |
| 18²= | 324 |
| 19²= | 361 |
| 20²= | 400 |
| What are the parity rules for addition/subtraction? | o + o = e e + e = e e + o = o |
| What are the parity rules for multiplication? | o * o = o e * (o or e) = e |
| √2 | ≈ 1.4 |
| √3 | ≈ 1.7 |
| √5 | ≈ 2.2 |
| π | ≈ 3.14 |
| e | ≈ 2.7 |
| What is the sum of consecutive even integers? | n(n+1), where n = the number of terms. |
| What is the sum of consecutive odd integers? | n^2, where n = the number of terms. |
| What is the sum of consecutive integers? | [n(n+1)]/2, where n = the number of terms. |
| How many integer terms are in a list m ... n? | (n-m)+1 |
| How many integer terms are in a list m ... n with a difference of d? | (n-m)/d + 1 |
| Given the same parameters which is greater combinations or permutations? | With permutations order matters, so they are greater in number than combinations. P(n,r) = n!/(n-r)! and C(n,r) = n!/r!(n-r)!. |
| What is the formula for permutations? | P(n,r) = n!/(n-r)! |
| What is the formula for combinations? | C(n,r) = n!/r!(n-r)! |
| How many primes exist between 1 and 100? | 25 primes |
| Name four common right triangle side triples. ( a, b, c) | (3,4,5), (5,12,13), (1,1,sqrt(2)), (1,sqrt(3),2) |
| A triangle with 3 equal sides and 3 equal angles is called? | An equilateral triangle |
| A triangle with 2 equal sides and 2 equal angles is called? | An Isoceles triangle |
| What is the exterior angle theorem? | The external angle A of triangle ABC is equal to the two opposite interior angles at B and C. |
| What is the triangle Inequality theorem? | Any one side of a triangle is less than the sum of the two other sides. a < b + c, b < a + c, c < a+b |
| What is the parallel line theorem? | if lines L1 // L2 is transversed by l3, angles 1,4,5,8 are equal and angles 2,3,6,7 are equal. |
| All triangles that have the same base and height have ___________. | equal areas |
| For a fixed perimeter the circle has the _________ area. | smallest |
| For a fixed area, the circle has the _________ perimeter. | greatest |
| If an equilateral triangle has a side length x, the height is? | [sqrt(3)/2]x |
| What is the area of a trapezoid? | 1/2 * (b1 + b2)h |
| Opposite interior angles of a parallelogram are __________. | equal |
| The sum of interior angles of a polygon is ______. | (n - 2)180 |
| The sum of exterior angles of a polygon is ________. | 360 |
| How are permutations and combinations related? | C(n,r) = P(n,r) / r! |
| What is the sum of an arithmetic progression? | S = n/2[2a * (n-1)d] |
| What are the side ratios of a 30-60-90 right triangle? | (1, sqrt(3), 2) |
| What are the side ratios of a 45-45-90 right triangle? | (1, 1, sqrt(2)) |
| Supplementary angles add up to ______ degrees. | 180 |
| Complementary angles add up to _____ degrees. | 90 |
| What is the sum of an Arithmetic Progression (AP)? | S = n/2[ 2a + (n-1)d] |
| What is the value of the nth term of an arithmetic progression? | an= a1 + (n-1)d, where an is the nth term, a1 is first term, and d is the difference. |
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