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 8

Prime factorization: the number written as a product of its prime factors. E.g. 24 = 2 x 2 x 2 x 3 or 23 x 3

Order of Operations (bedmas)1. brackets2. exponents3. multiplication4. division5. addition6. subtraction

3 and 4 can switch, 5 and 6 can switch

Cartesian plane

roundingExample: 875.2763

Round 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 don’t 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, ray

Angle bisector

Factor Trees for gcf anf lcm

72 2 2

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 number

Mean = average (add all the numbers and divide by the number of items)

Median = middle number in a list when the numbers are in order

Mode = the number that occurs most often

E.g. = 1,3,6,2,5,8 range = 8-1 = 7 mean =

(1+3+6+2+5+8)/6 = 25/6

median = 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 + ÷ - negative

Angle types and measures

Measures zero degrees

an angle that is less than 90°

an angle that is 90° exactly

an angle that is greater than 90° butless than 180°

an angle that is 180° exactly

an angle that is greater than 180°

Measures 360 degrees

Zero angle

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

Same vertex, common side, not overlapping

Complementary 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.

Rotation