Grade 7 Midyear Exam

Grade 7 Midyear ExamMemory Aid 2014

Prime and Composite NumbersPrime number has only 2 divisors: E.g. 17 has 1 and 17.Composite number has more than 2 divisors:E.g. 24 has 1,2,3,4,6,8,12,24Factorization: the number written as a product of factors. E.g. 24 written as 2 x 12 or 3 x 8Prime factorization: the number written as a product of its prime factors. E.g. 24 = 2 x 2 x 2 x 3 or 23 x 3Order of Operations (bedmas)1. brackets2. exponents3. multiplication4. division5. addition6. subtraction3 and 4 can switch, 5 and 6 can switch

Cartesian plane

roundingExample: 875.2763Round to the nearest hundred: 900Round to the nearest ten: 880Round to the nearest one: 875Round to the nearest tenth: 875.3Round to the nearest hundredth: 875.28Round to the nearest thousandth 875.276

Look at the number to its right, if 5 or more add one and everything becomes zero after it, if 4 or less dont change the number.Exponents, square root 45 = 4 x 4 x 4 x 4 x 440 = 141 = 4(-3)2 = -3 x -3 = +9(-3)3 = -3 x -3 x -3 = -27

16 = 4 because 4 x 4 = 16 (opposite of exponent 2)Point, line, segment, rayAngle bisector

Factor Trees for gcf anf lcm

GCF = 2 x 3 = 6LCM = 2 x 2 x 2 x 2 x 3 x 7 = 336 Graphs2 types of variables: qualitative (flavor or color) and quantitative (height, age)Range = highest number lowest numberMean = average (add all the numbers and divide by the number of items)Median = middle number in a list when the numbers are in orderMode = the number that occurs most oftenE.g. = 1,3,6,2,5,8 range = 8-1 = 7 mean = (1+3+6+2+5+8)/6 = 25/6median = 1,2,3,5,6,8 = (3+5)/2 = 4 mode = none

AverageSum of all the values divided by the total number of values.

IntegersIF YOU ARE NOT SURE = USE YOUR CALCULATORSum of 2 positive integers is positiveSum of 2 negative integers is negativeSubtracting Integers-12 -5 = -12 + -5 = -1726 - -14 = 26 + 14 = 40Multiplication and Division+ x + or + + positive - x + or - + negative- x or - - positive + x or + - negativeAngle types and measuresMeasures zero degreesan angle that is less than 90an angle that is 90 exactlyan angle that is greater than 90 butless than 180an angle that is 180 exactlyan angle that is greater than 180Measures 360 degrees

Zero angleOpposite and adjacent anglesOpposite (1 = 3 or 2 = 4) Adjacent

Same vertex, common side, not overlappingComplementary and supplementary anglesComplementary: add up to 90 degrees and form a right angle.Supplementary: add up to 180 degrees and form a straight line.

Alternate interior, exterior and corresponding anglesAlt int, alt ext and corresponding angles are congruent or equal when 2 parallel lines intersect a transversal line.

Parallel, perpendicular, intersecting and perpendicular bisector

Triangle and quadrilateral

Translation and reflectionReflect by doing perpendicular lines with a triangular ruler on the reflection line.Translate by doing parallel lines to the vector (prolong vector first) with a triangle on the vector and a ruler against the triangle.

AlgebraRule for a series of numbers:Term = common difference x rank + numberTerm and rank = 2 different lettersCommon difference = link between numbersNumber = first term of series common differenceExample: y = 4x -3If x = 7, solve for y y = 4 x 7 3 = 28 3 = 25When x = 7, y = 25PolygonsPolygon = plane figure with closed broken lineRegular polygon = all sides and angles are congruentConvex polygon = all interior angles are less than 180o Perimeter = add all sides (be careful with units)

Quadrilateral page 177 importantFour sided polygon Sum of interior angles = 360 degrees

Pentagon =5Hexagon = 6Heptagon = 7

Octagon = 8Nonagon = 9Decagon = 10Hendecagon = 11Dodecagon = 12Angles of polygonsn = number of sides of polygon

Measure one 1 of the interior angles of a regular polygon:(n 2) x 180 nSum of the measures of the interior angles of a polygon:S = (n-2) x 180

trianglesSum of interior angles = 180 degrees

ProbabilitiesDice: 1,2,3,4,5,6Cards: 4 suits (hearts, clubs, spades, diamonds)13 cards per suit (1-10 + jack, queen, king)And = multiplyOr = add

Sample space: all outcomes of an event

Scientific notation235 = 2.35 x 102 0.0256 = 2.56 x 10-2 4.76 x 103 = 476100.02 x 10-4 = 0.010002

Scientific to real: if positive exponent move decimal point to the right, if negative exponent move decimal point to the left.Real to scientific: if number is smaller than 1, exponent will be negative, if number is larger than 1, exponent will be positive.conversionsKing Henry Doesnt Usually Drink Chocolate MilkKilo-, Hecto-, Deca-, unit (meter, gram, liter), Deci-, Centi-, Milli- 2 optionsMoving right = multiply by 10Moving left = divide by 10

Move decimal point left or right depending on what your initial unit is and where you want to end up.Decimal, percent and fraction conversionsA) fraction to decimal: divide numerator by denominator B) fraction to percent: divide numerator by denominator, multiply answer by 100 and add % signC) percent to decimal: remove % sign, divide by 100D) percent to fraction: remove % sign, put over denominator of 100 and reduce if possibleE) decimal to fraction: multiply by 100 and put over denominator of 100, reduce if possibleF) decimal to percent: multiply by 100 and add % signfractions

fractionsFinding a common denominator: what is the least common multiple between both denominators, change both to the new number and adjust your numerator (what you do to the bottom, you also do to the top)

ADD, SUBTRACT fractions

MULTIPLY AND DIVIDE FRACTIONS

Negative exponents