Quant

12.5% = 1/8 37.5% = 3/8 62.5% = 5/8 87.5% - 7/8

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A triangle inscribed in a circle is a right triangle if one of it's sides is the diameter of the circle.

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√2 = approximately ? √3 = approximately ?

√2 = 1.41 √3 = 1.73

Be able to recognize common exponent sequences: 2: 2, 4, 8, 16, 32, 64, 128, 256 Pattern is: 2,4,8,6 3: 3, 9, 27, 81, 243, 729 Pattern is: 3, 9, 7, 1 4: 4, 16, 64, 256, 1024 Pattern is: 4, 6 5: 5, 25, 125, 625 Pattern is: 5 6: 6, 36, 216 Pattern is 6 7: 7, 49, 343, 2,401 Pattern is: 7, 9, 3, 1 8: 8, 64, 512, 4,096 Pattern is: 8, 4, 2, 6 9: 9, 81, 729 Pattern is: 9, 1 10: 10, 100, 1,000 Pattern is: 0

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Cubes up to 10

2 cubed = 8 3 cubed = 27 4 cubed = 64 5 cubed = 125 6 cubed = 216 7 cubed = 343 8 cubed = 512 9 cubed = 729 10 cubed = 1000

Common Right Triangles

3-4-5 Key multiples: 6-8-10, 9-12-15, 12-16-20 5-12-13 Key multiples: 10-24-26 8-15-17

When you cut a unilateral triangle in half you get a ______.

30 - 60 -90 triange

LCM or 9 & 12

9: 3x3. 12: 2x2x3. LCM: 2233 = 36

A = S / N

Avg = Sum / Number of terms

What is the average (arithmetic mean) of the integers from 1 to 30, inclusive? A) 30! B) 15! C) 15.5 D) 15 E) 10

In an evenly spaced set, the median is always equal to the mean. A string of consecutive numbers is an evenly spaced set. Thus, the middle number will be the same as the average. To find the middle number of an evenly spaced set, simply take the average of the two extremes: As 15.5 is the middle number, it is also the mean. The correct answer is C.

The third side rule

One side of a triangle must always be less than the sum of the other two and more than the difference between the other two.

Rules of consecutive integers What is the sum of integers 1 to 11 inclusive minus the average of those integers?

The average is the middle term which is 6. The sum is the average times the number of terms = 6*11 = 66. The answer is 66-6 = 60.

A certain taxi driver charges a rate of r cents per person per mile. How much money, in dollars, would it cost three people to travel x miles if he gives them a 50% discount? (100 cents = 1 dollar) 3xr 2 3x 200r 3r 200x 3xr 200 xr 600

We can solve this as a VIC (Variable In answer Choices) question and plug in values for x and r. r cents per person per mile 10 x # of miles 20 Since there are 3 people, the taxi driver will charge them 30 cents per mile. Since they want to travel 20 miles, the total charge (no discount) would be (30)(20) = 600. With a 50% discount, the total charge will be 300 cents or 3 dollars. If we plug r = 10 and x = 20 into the answer choices, the only answer that yields 3 dollars is D. The correct answer is D.

Which of the following are factors of 845 - 91? Indicate all such numbers. A) 4 B) 13 C) 26 D) 27 E) 39 F) 58

When working with Divisibility problems, we typically want to utilize a factor tree, but first we must calculate 845 - 91 = 754. Now, we can break 754 into its prime factors. 754 = (2)(13)(29). Therefore, the factors of 754 will include any combination of its individual prime factors (and 1). 1 2 13 29 2(13)=26 2(29)=58 13(29)=377 2(13)(29)=754 Therefore, the numbers 13, 26 and 58 in the list are all factors of 845 - 91. The correct answers are B, C, and F.

ab > 0 bc < 0 Quantity A Quantity B AC 0

a & b same sign! b & c diff signs! ergo a & c diff signs! Answer: B