HSPT Math
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Created by:
mathsuperhero on October 25, 2012
Description:
Provides guidance on math principles that are used in HSPT Math
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32 terms
Terms | Definitions |
|---|---|
 What is the next number in this sequence? 4,6,8,10 | Principle: Arithmetic Progression N+C where C is a constant So 4 + C = 6 C=2 10+2= 12, Answer is 12. |
| What is the next number in this sequence? 2, -6, 18, -48? | Principle: Geometric Progression N*C where C is a constant So 2*C=-6 C=-3 -48 * -3 = 144, Answer is 144 |
| What is the next number in this sequence? * 4, 11, 32, 95? | Principle: Combination of Arithmetic and Geometric Progression At first this looks geometric but the ratio of the next number to the first changes So you look at the ratio of differences: 7 ((11-4) 21 (32 - 11) 63 (95-11) And you see the ratio of the difference is 3 so one factor is 3 or 3N +/- C applying it to the first one 4 *3 is 12, subtract 1 to get 11 So the next number is 95 * 3 -1 or 284 |
| What is the circumference of circle with a diameter of 3 and is it greater or smaller than the perimeter of square that has a diameter of 3? | Principle: Perimeter or length of lines defining a shape and the constant ∏ and base formulas for each: Circle perimeter is ∏ or 3.14 times diameter Diameter is two times the radius defined as the distance from the outer edge of the circle to the center So in this cash diameter of 3 times 3.14 or 9.42 is the perimeter of the circle Square permiter is 4 times the length of one side as all side are equal so the square perimeter is 4 times 3 or 12. *Note that the diameter of circle is the same as on the sides so the circle fits inside of square and touches all four sides |
| What is the perimeter of box with one side equal to 4 inches and the other side equal to 6 inches? | Principle: Perimeter of a rectangle P = 2l + 2w or 2(l + w) P = 2(4+6) or 2(10) or 20 |
| What is the perimeter of a square with one side equal to 7 | Principle: Perimeter of a square P = 4s P = 4 x 7 or P=28 Also, add 7 + 7 + 7 + 7 |
| What is the area of triangle with a base of 3 and height of 4 | Principle: Area of a triangle A = (1/2)bh A = 1/2 x 3 x 4 or A = 6 Note a triangle doubled equals a square with area = S2 multiplying by 1/2 gives the area. |
| What is the area of rectangle that has a base of 7 and a height of 6 | Principle: Area of a rectangle A = bh or lw A= 7 x 6 or 32 |
| What is the area of square with one side equal to 6 | Principle: Area of a square A = Sx2 A = 6 x 6 A=36 |
| What is the volume of box that is is 6 x 5 x 7? | Principle: Volume of rectangular solids V = lwh V = 6 x 5 x7 V = 210 |
| What is the length of the hypotenuse of a right triangle with a 6 and 7 side? | Principle: Pythagorean theorem For right triangles (with 90°) a2 + b2 = c2 (6 x 6) + (7 x 7) = c2 36 + 49 = 85 c2 = 85 c = Square root of 85 (more than 9 and less than 10) |
| Right angles measure ? | 90° |
| The sum of the interior angles of a triangle | 180° |
| The sum of the interior angles of a quadrilateral | 360° |
| Complementary angles add up to ? | 90° |
| Supplementary angles add up to ? | 180° |
| 1 foot = ? inches | 12 |
| 1 yard = ? feet | 3 |
| 1 meter = ? centimeters | 100 |
| 1 kilometer = ? meters | 1,000 |
| 1 pound = ? ounces | 16 |
| 1 cup = ? ounces | 8 |
| 1 pint = ? cups | 2 |
| 1 quart = ? pints or ? cups | 2 pints or 4 cups |
| 1 gallon = ? quarts | 4 |
| 1 kilogram = ? grams | 1,000 |
| Order of operations | Parentheses, Exponents, Multiplication, Division, Addition, Subtraction |
| What are the definitions of the following mathematical equation? 12 / 5 = 2 r 2 | Principle: Division 12 is the dividend, the number being divided 5 is the divisor, the number the dividend will be divided by 2 is the quotient, number times the divisor will go into the dividend 2 is the remainder, the number remaining that is too small for the divisor to go into |
| What are the definitions of the following mathematical equation? 12 x 5 = 60 | Principle: Multiplication 12 and 5 are the factors being multiplied 60 is the product which is the result |
| What are the definitions of the following mathematical equation? 4 + 8 = 12 | Principle: Addition 4 and 8 are addends 12 is the sum |
| What are the definitions of the following mathematical equation? 12 -4 = 8 | Principle: Substraction 12 is the minuend, the the number being subtracted or lowered 4 is the subtrahend, the number used to reduce the minuend 8 is the difference |
| What is the area of this geometric form? | Principle: Area of a trapezoid A= 1/2H(B1-B2) Where H is the height and b1 and b2 are the length of each base |
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