Random Math 1
A square is a rhombus and a ...
Rectangle
8,11,14 - 150th in the progression:
answer “455” : 8 + (150 - 1)(3)
Percent change =
(new total - original) / original x 100%
Find the range of the following numbers:
(3, 7, 2, 8, 5)
6
Simplify: 3(2 + 4x)
6 + 12x
A student draws 10 squares and 7 rectangles on graph paper with 4 quadrants. He then multiples 4 x 10 and 4 x 7 then adds them together. This is an example of what?
Distributive property because it is the same as
4(10 + 7)
6.72 is what percent of 42
16%
Soda costs 3.29 each, candy costs .39 each. You buy one soda and two candies. You pay with a $20 bill. You split the remainder with your sibling. What is the equation:
20 - (3.29 + .39(2)) over 2
A kid is selling wooden toys for $X + tax. He wants to know how many he needs to sell to make a profit of $Y. What must he know?
Answer - “Cost to produce each toy”
DISTRACTOR – tax rate — DO NOT PICK TAX RATE
Simplify: 3b - (4b - 6b + 2) +b
6b -2
A student is having trouble with adding -6 to -12, how can you explain it?
X owes you $12, and they want to borrow another $6
Part =
Percent x whole
Boy to girl ratio - don’t get tricked - it is boys to girls, 12 to 20
12/32 – answer “3/8"
Diamond is marked up 30%, then marked down 30%, what percent of the original is the final price:
answer - “91%”
x^3 < x when …
Answer: 0 < X < 1 and X < -1
How do you know the line on the graph is a linear function?
it forms a straight line
Percent =
Part / Whole x 100%
Find the mean of the following numbers:
(4, 6, 8, 2, 5)
5
You have one penny, one nickel, one dime, one quarter. How many different two-coin combos can you make?
answer “6” : 4(4-1) / 2
The rectangle has an area of 48 — the L is 4/3 the W — what is the diagonal?
Area = 48 , Length = 4/3 × width
Let width = x.
l x w = 48 — x(4/3x) = 48 — 4/3x² = 48
(keep change flip) x² = 48 ÷ 4/3 — x² = 48 × 3/4 = 36
x² = 36 — x = 6
Length = 4/3(6) = 8
Diagonal: 6² + 8² = d² — 36 + 64 = 100 — d = 10
210 miles, 60mph, arrive by 5pm - must leave by when?
leave by 1:30pm (1:10pm is the answer - latest answer that doesn’t go over 1:30pm)
Whole =
part / percent
Find the median of the following numbers:
(7, 3, 5, 8, 2)
5
How much greater is the product of 5 7/12 and 3 5/8 than the difference of those same two numbers?
Step 1: Find the product: 5 7/12 = 67/12, 3 5/8 = 29/8, 67/12 × 29/8 = 1943/96
Step 2: Find the difference: 5 7/12 − 3 5/8
Find a common denominator of 24: 5 14/24 − 3 15/24
Borrow 1 from 5: 4 38/24 − 3 15/24 = 1 23/24
Convert 1 23/24 to an improper fraction: 1 23/24 = 47/24
Convert to a denominator of 96: 47/24 = 188/96
Step 3: Subtract the difference from the product: 1943/96 − 188/96 = 1755/96
Simplify: 1755/96 = 585/32 = 18 9/32
If a regular hexagon (regular means 6 equal sides) has a side length of 5, what is the perimeter:
“6 x 5 = 30”