Educational materials developed through the Howard County History Labs Program, a partnership between the Howard County Public School
System and the UMBC Center for History Education.
Shays Rebellion
Historical Thinking Skills Assessed: Close Reading, Cor
Secondary School Admission Test Score Report
About You
Name
Jason Jiang
Grade
8
Gender
Male
Date of Birth
22 Jul 2004
Jason Jiang
47735 Pavillon Rd
Canton, MI 48188
The Test You Took
Registration ID
170829764
Test Date
15 Oct 2016
Test Level
Upper
Test Ce
Euclid Practice Problems
1.
(a) In the diagram, ABC is a quarter of a circular pizza with centre A and radius 20 cm.
The piece of pizza is placed on a circular pan with A, B and C touching the
circumference of the pan, as shown. What fraction of the pan i
Twelve Assignments
Every Middle School
Student Should Write
Plus Prompts for Daily Writing
&
Guide for Surviving the Research Paper
Gary Chadwell
Copyright 2009 by Collins Education Associates LLC. All rights
reserved.
Twelve Assignments Every Middle Scho
2013 Abel R1 & R2 Problems
1.
What is 36 912 = 9m. Find m.
2.
Per, Ragnar, and Lars live in the same neighborhood. They have found out that the
straight line distance from Per to Ragnar is 250 m, and from Ragnar to Lars, it is 300 m.
What is the best one
January 2014
Round One Test
Time Limit:
60 minutes
Facts: The minimum function min returns the smallest oftwo or more real numbers, giving
the common least value in case there is a tie. Thus min(, 10) = , min(7, 8, 9) = 9,
and min(14, 20, 14) = 14. The gr
OAKLAND
Saturday, February 15th
Suburban Collection Showplace, Novi
Platinum Ballroom
8:15 8:45 a.m.
Registration & Calculator Check
Breakfast refreshments provided for Mathletes and Coaches in
the Testing Room.
8:45 9:00 a.m.
Welcome Address & General In
Force Factoring and Square of Sums for Beginners
S. Lal
March 2013
1
Introduction
Note that (a + b)2 = a2 + b2 + 2ab and (a b)2 = a2 + b2 2ab. Using this simple
fact, we can manipulate other problems by a method called force factoring.
For example, consid
Mock Math Counts Team Selection Test
(Jan 25 & 26, 2014)
(No Calculators please)
NAME _
Grade _
ICAE Class_
ICAE Teacher _
Home School (not ICAE) _
Are you representing your school at Chapter Math Counts
(Oakland February 8/15): Yes _ No _
(Wayne February
Mandelbrot R1-R2
1.
Suppose that Amal runs 20% faster than Shalin. If Shalin can run one lap in 84 seconds,
then how many minutes will it take Amal to run three laps?
2.
[N1] Claire writes down all the positive integers from 10 to 99, inclusive. She next
Math IV Placement Test
Winter 2014 November 23, 2013
Please check & correct your grade and the school name on the Admit Card. Make sure that
you are taking the test indicated on the Admit Card. Indicate any schedule preferences on
the Admit Card. The plac
Math IIB/III/IIIAB/IIIB Placement Test
Winter 2014 November 23, 2013
Please check & correct your grade and the school name on the Admit Card. Make sure that
you are taking the test indicated on the Admit Card. Indicate any schedule preferences on
the Admi
1.
The number 632 is considered a "multiple number" since
the first digit is the product of the rest of the digits of the
number. How many 0igit multiple numbers exist?
1.
2.
At each stage the midpoints of the sides of each unshaded
equilateral triangle a
MMPC-I Algebra1
1.
If there are n points in the plane no three of which are c1inear and they determine 351
lines, n is equal to?
2.
The number of integers between 1 and 250 (inclusive) that are not divisible by 2 nor by 7
but are divisible by 5 is?
3.
The
MMPC-I Geometry Problems
1.
A right circular cone has height h and base radius. r. Find the area of the cone
(excluding area of the base).
2.
A regular hexagon is inscribed in one circle and circumscribed about another.
Find the ratio of the areas of the
CIMC Practice Problems
1.
Joey is standing at a corner of the rectangular field shown. He walks the perimeter of the
field 5 times. How many meters does Joey walk?
2.
If a + b = 9 - c and a + b = 5 + c, what is the value of c?
3.
Ophelia is paid $51 for t
The Online Math Open Fall Contest
Official Solutions
October 18 - 29, 2013
Acknowledgements
Contest Directors
Evan Chen
Head Problem Writers
Evan Chen
Michael Kural
David Stoner
Problem Contributors, Proofreaders, and Test Solvers
Ray Li
Calvin Deng
MMPC2 Geo2
1.
Given a rectangle ABCD with AC length e and four circles centers A, B, C, D and
radii a, b, c, d respectively, satisfying a+c=b+d<e. Prove you can inscribe a circle
inside the quadrilateral whose sides are the two outer common tangents to th
MATHCOUN TS
1988-89
I State Competition I
40/40 Sprint Round
Name
DO NOT BEGIN UNTIL YOU ARE
INSTRUCTED TO DO $0.
This section of the contest consists of 40
questions. You will have 40 minutes to
complete all the questions. Calculators,
slide rules, boo
32nd United States of America Mathematical Olympiad
Recommended Marking Scheme
May 1, 2003
Remark: The general philosophy of this marking scheme follows that of IMO 2002. This scheme
encourages complete solutions. Partial credits will be given under more
2014 COMC Problems
1.
In triangle ABC, there is a point D on side BC such that BA = AD = DC. Suppose BAD
= 80. Determine the size of ACB.
2.
The equations x2 - a = 0 and 3x4 - 48 = 0 have the same real solutions. What is the value
of a?
3.
A positive inte
2014 DCDS Problems
1.
Bill owed his parents $150. He paid t hem 50% of his debt after a week, 20% of t he
remaining debt the following week, and 40% of the remaining debt (following the first
two payments) one week later. How much more does Bill still owe
AMC 10/12 Practice
1.
What is the smallest positive odd integer n such that the product
21/723/72(2n+1)/7
is greater than 1000? (In the product the denominators of the exponents are all sevens,
and the numerators are the successive odd integers from 1 to
Math IIB/III/IIIAB Placement Test
Spring 2015 February 28 & March 1, 2015
Please staple the placement test along with your answers and the Admit Card. Indicate any
schedule preferences on the Admit Card. The placement test will be posted on the web as
Wee
MATHCOUNTS
2015
Mock State Competition
Sprint Round
Problems 1-30
_
Name _
School _
Chapter_
DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES.
This section of the competition consists of 30 problems. You will have 40 minutes to complete all the
AHSME Triangles #1
1.
[61 : 8] Let the two base angles of a triangle be A and B, with B larger than A. The
altitude to the base divides the vertex angle C into two parts, C1 and C2, with C2 adjacent
to side a. Then:
(A) C1 + C2 = A + B
(B) Cl - C2 = B - A
Mass Point Geometry Problem Set 1
1.
In ABC, D is the midpoint of BC and E is the trisection point of AC nearer A. Let G =
BE AD. Find AG : GD and BG : GE.
2.
In ABC, D is on AB and E is on BC. Let F = AE CD. AD = 3, DB = 2, BE = 3 and
EC = 4 Find EF : FA
Euclid Practice #1
1.
2.
The equations x2 + 5x + 6 = 0 and x2 + 5x 6 = 0 each have integer solutions whereas
only one of the equations in the pair x2 + 4x + 5 = 0 and x2 + 4x 5 = 0 has integer
solutions.
(a)
Show that if x2 + px + q = 0 and x2 + px q = 0