2. What is being tested on SAT
Math?
Total Math Content No. of
Question
s
Section 1
Math 1 (25
minutes)
20 mcq’s
Section 2
Math 2 (25
minutes)
8 mcq’s
10 grid-in
Section 3
Math 3 (20
minutes)
16 mcq’s
Total 44 mcq’s
10 grid-in
Numbers and operations
Algebra and functions
Geometry and
measurement
11-13
19-21
14-16
6-7
3. What is being tested on GRE
Math?
Total Math Content
Same as SAT
Approximate
No. of
Questions
Section 1
Math 1
(35 minutes)
20 multiple
choice
and plug in
questions
Quantitative
comparison
Problem solving
Data Interpretation
10
7
3
Section 2
Math 2
(35 minutes)
20 multiple
choice and plug
in questions
Quantitative
comparison
Problem solving
Data Interpretation
10
7
3
Total 40 questions
4. Math class, topic wise schedule:
Math topics: Handouts: Duration:
1) Algebra:
i. 1 variable
ii. 2+ variables
iii. Unknown variables
iv. Function
v. Quadratics
vi. Factorization
1) Math Notes from SAT
bible.
2) ETS Algebra Set
Week 1 and 2
2) Arithmetic:
i. Properties of Numbers
ii. Computation
iii. Percents
iv. Ratios/Proportions
v. Mean/Median/Mode
vi. Exponents & Roots
3) ETS Arithmetic Set Week 3
5. Math class, topic wise schedule:
3) Geometry:
Circles
Lines and Angles
Triangle Area/Perim/Pythag
Third Side Rule/ Angle Side Rule
Similar Triangles
Rectangle Area/Perim
Graphing Functions/Equations
Coordinate Geometry
Polygons
Solids
4) ETS Geometry Set Weeks 4 & 5
4) Misc. Problems:
Charts
Stats/Probability
Patterns/Sequences
Counting
Logic
Visual/Spatial
Groups
5) ETS Misc. Set Week 6
5) Advanced Math Questions Handouts: TBD Weeks 7 & 8
7. Strategies
1a) Picking Numbers
Step 1. Pick Simple Numbers and substitute for
variables.
Step 2. Try Them Out
Try out all the answer choices using the numbers
you picked, eliminating those that gave you a
different result.
Step 3. Try Different Values
If more than one answer choice works, use
different values and start again
1b) Recognition by prolonged and multiple use of
Picking Numbers
10. 2) Back-solving
Step 1: Estimate the answer.
Step 2: Plug in an answer.
Step 3: Keep plugging in till you find one that
works.
Step 4: Try out all answers.
Q. If x is an integer and 2 is the remainder when
3x + 4 is divided by 5, then x could equal
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
27. Algebra Unknown variables: Practice
From the relevant topic in ETS set, do as many
questions as you can in ten minutes.
28. That’s it for today!
Complete as homework the remainder of the
questions in the ETS Algebra Practice Set from
topics of:
1 variable
2+ variables
Unknown variable
29. Example 3:
If x, y and z are positive integers such that x< y < z
and x + y + z = 6, then what is the value of z?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
31. 2) Defined Function
Example 1:
If x* y represents the number of integers between x
and y then (-2*8) + (2*-8) =
(A) 0
(B) 9
(C) 10
(D) 18
(E) 20
32. Example 2:
For any positive integer n, n! denotes the product of
all the integers from 1 through n. what is the value
of 3!(7 -2)! ?
(A) 2!
(B) 3!
(C) 5!
(D) 6!
(E) 10!
33. Example 3:
A function @ is defined on positive integers as @(a)
= @(a-1) +1. if the value of @(1) is 1, then @(3)
equals which one of the following?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
35. 3)Number Theory
Example 1:
The remainder is 57 when a number is divided by
10,000. What is the remainder when the same
number is divided by 1,000?
(A) 5
(B) 7
(C) 43
(D) 57
(E) 570
36. Example 2:
If n is a positive integer and (n + 1)(n + 3) is odd, then
(n + 2)(n + 4) must be a multiple of which one of the
following?
(A) 3
(B) 5
(C) 6
(D) 8
(E) 16
37. Example 3:
The number of prime numbers divisible by 2 plus
the number of prime numbers divisible by 3 is
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
38. Example 4:
If 15x + 16 = 0, then 15 x equals which one of the
following?
(A) 15
(B) –16x
(C) 15x
(D) 16
(E) 16x
