SSAT math kids

How many odd integers are there between 1 and 9

3

irrational number

radical that can't be simplified, or a non-repeating, non-terminating decimal

parallel lines

same slope

imaginary number

square root of a negative number i= √-1

converse of the Pythagorean theorem

a²+b²=c²

rhombus

parallelogram with all sides congruent

part, percent, whole formula

part=percent/100× whole

Slope-intercept form of a line

y = m x + b

slope intercept form

y=mx+b m=slope=Rise/run b=y intercept=where the line crosses y axis

√x *(√y)

√xy

midpoint formula

((x₁+x₂)/2,(y₁+y₂)/2)

sum of all interior angles in a polygon

(n-2)180 n=number of sides

slope between two points

(y₂-y₁)/(x₂-x₁)=rise/run

0.1/ 0.02 =

.1/.02 = 10/2= 5

16% of 10% of 500 =

.16 × .1 × 500= .16 × 50 = 8

16% of what number is 25% of 80?

.16 × x = .25 × 80 .16x = 20 x = 20/.16 = 2000/16 = 125

60% of what percent of 500 is equal to 6?

.6 × x × 500 = 6 300x = 6; x= 6/300 = 2/100 = 0.2 2%

1/4 equals what decimal?

0.25

25 % equals what fraction and decimal 75 % equals what fraction and decimal

0.25 and 1/4 0.75 and 3/4

x⁰

1 (anything to the 0 power is 1)

what to do for each question

1. Annotate/read carefully 2. Write the formula 3. show your work 4. make sure you answered the question

10 % equals what fraction and decimal 20% equals what fraction and decimal 70% equals what fraction and decimal

1/10 and 0.1 2/10 and 0.2 7/10 and 0.7

area of a trapezoid

1/2(b₁+b₂)h

volume of a pyramid

1/3 * base area * height

A restaurant sells 100 hamburgers a day at $10 each. To increase business, they reduce the price to $8 before noon. If they sell 40 hamburgers before noon, how many will they have to sell after noon to keep their hamburger revenue the same?

100 × $10 = $1000 (daily burger revenue) 40 × $8 = $320 (revenue from $8 burgers) $1000 - $320 = $680 = revenue from $10 burgers $680/$10 = number of $10 burgers they have to sell 68

List the first five multiples of 11

11, 22, 33, 44, 55

The average weight of 4 girls is 110. The average weight of 3 boys is 125. What is the average weight of all 7 children rounded to the nearest pound?

110 × 4 = 440; 125 × 3 = 375 440+375 = 815; 815 ÷ 7 ≅ 116

1/8 equals what percent and decimal

12.5 % and 0.125

Area of Parallelogram

A = b * h

1 pound (lb) = ? ounces

16 ounces (oz)

A student answered 75% of the questions on a test correctly and left 7% of the questions blank. What percentage of the questions did the student answer incorrectly?

18%

What is the sum of the angles in a triangle?

180°

1 quart (qt) = ? pints

2 pints (pts)

2/5 - 3/4 =

2/5 - 3/4 = 8/20 - 15/20 = -7/20

What is the largest of 7 consecutive numbers if the average is 17?

20

What Percent of 32 is 24?

24 = x × 32 x = 24/32 = 3/4 = .75 = 75%

pythagorean triples

3, 4, 5/ 5, 12, 13/ 7, 24, 25 (plus every multiple of them)

π = what fraction and what decimal

3.14 or 22/7

.6 = what fraction

3/5

1/3 equals what percent and decimal

33 1/3 % and 0.33333..

If there are the same number of tricycles as bicycles at school, and the total number of wheels is 30, how many bicycles are there?

3x + 2x = 30 5x = 30; x = 6 6 bicycles and 6 tricycles

1 gallon = ? quarts

4 quarts (qts)

What is the sum of the angles in a rectangle

4 right angles = 4 × 90 = 360°

Area of Triangle

A = ½ b h

Area of Circle

A = πr²

distance between two points

d=√[(x₂-x₁)²+(y₂-y₁)²] (pythagorean theorem)

5/0 vs. 0/5

5/0 is undefined and 0/5 is 0

What is the length of the diagonal of a square whose side is 5 inches?

5√2 inches

180/ 0.03 =

6000

2/3 equals what percent and decimal

66 2/3 % and 0.666667

What is the ten-digit in the number 182.09?

8

What is the hundredth digit in the number 182.09?

9

How many factors does 100 have?

9 and they are 1, 2, 4, 5, 10, 20, 25, 50, 100

What is a 3-4-5 Right Triangle?

A right triangle with legs of lengths 3 and 4; hypotenuse of length 5

What is 3² × 3⁵

Add exponents in multiplication 3⁷

Circumference of a Circle

C = π d or C = 2 π r

If 3(x+y) = 21 Then what does x + y =?

Divide both sides by 3 7

percent change

difference/original× 100%

triangle inequality

Given a triangle with sides a, b, and c difference < c < sum a-b < c < a+b

45-45-90 Right Triangle (or half of a square)

Hypotenuse is equal to length of the side times √2.

How much money does Bob have after 2 years if he started with $500 and the interest rate is 6%?

Interest = 500 × .06 = $30/year $30 × 2 years = $60 Total = $500 + $60 = $560

Sides of a triangle

Longest side must be shorter than the sum of the other two sides

Adding and subtracting radicals

Need to have like terms. Can only add and subtract radicals with the same radical.

Is 2 a multiple of 8?

No, it is a factor

If r+s+t= 40 and s−7=20, what is the value of r?

Not enough information! 3 variables, and only 2 equations The most you know is that (r+t) = 13

If Sam lives 6 miles from school, and Peter lives 3 miles from school, how far apart do they live?

Not enough information! If Sam and Peter live in the same direction, it is 3 miles; if they live on opposite sides of the school, it is 9 miles, or it could be any distance in between.

average speed

distance/time

420/ (5 X 12 + 10) =

Remember PEMDAS! 420/(70) = 6; [NOT 420/(5 ×22)] 6

What is the slope of the line containing the points (4,2) and (2,1)?

Slope = change in y divided by change in x = (2-1)/(4-2) = ½ OR = (1-2)/(2-4) = -1/-2 = ½

integers

numbers that don't have fraction or decimal -2, -3, 0, 2, 3

What is 2¹⁰ ÷ 2⁶

Subtract exponents in division 2⁴ = 16

What are supplementary angles?

They add to 180°

Which is greater: 5/9 or 6/11?

Use criss-cross method 5×11 = 55; 6×9 = 54; therefore 5/9 > 6/11

rational numbers

a number that can be written as a fraction, repeating decimal, or terminating decimal

What is the sum of the angles in an octagon?

add 180° every time you add a side (start with triangle) 180 + 180 + 180 + 180 + 180 + 180 OR (n-2)×180 = (8-2)×180 = 6×180 = 1080°

what is the sum of the angles in a pentagon?

add 180° every time you add a side (start with triangle) 180 + 180 + 180 OR (n-2)×180 = (5-2)×180 = 3×180 540°

vendiagram questions

add up all the number--difference between the sum and total is both--then calculate how many only have one or have both

regular polygon

all angles and sides are the same

real number

anything that can be put on a number line

circle

area:πr² circumference:2πr

standard form

ax+by=c

volume of a prism

base area * height

surface area of a pyramid

base area + 1/2 * p * l p = perimeter of base l = slant height

12 + 2x > 24 - x What does x =

combine like terms: 3x > 12 x > 4

perpendicular lines

negative reciprocal 1/2 and -2/1

The slopes of perpendicular lines are _______________

negative reciprocals (Examples: 3 and -1/3; 1/2 and -2; 3/4 and -4/3; -2/5 and 5/2)

Is 1 a prime number?

no

whole numbers

numbers 0 or greater that don't have a fraction or decimal 0, 1, 2, 3...

exterior angles

sum of all exterior angles is 360 interior+exterior=180

A number is divisible by 4 if

the last 2 digits are divisible by 4

Parallel lines have ___________ slope

the same

A number is divisible by 3 if

the sum of the digits is divisible by 3

x intercept

where the line crosses the x axis plug in 0 for y and solve for x

y intercept

where the line crosses y axis plug in 0 for x and solve for y

45, 45, 90 right triangle

x, x, x√2

30, 60, 90 right triangle

x, x√3, 2x

exponent rules: x⁵/x²

x³ (subtract the exponents)

exponent rules: (xy²)³

x³y⁶ (multiply the exponents)

exponent rules: x²*x³

x⁵ (add the exponents)