MOEMS Practice 1
Authored by Bryan Tran
Mathematics
6th - 8th Grade
CCSS covered
Used 56+ times
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About
This quiz focuses on advanced number theory and algebraic reasoning, making it appropriate for grades 6-8 students preparing for mathematical olympiad competitions. The problems require students to demonstrate sophisticated problem-solving skills across multiple mathematical domains including modular arithmetic, prime factorization, arithmetic sequences, systems of equations, and logical reasoning with constraints. Students need to understand concepts such as the Chinese Remainder Theorem for solving simultaneous congruences, least common multiples for divisibility problems, arithmetic series formulas, algebraic manipulation techniques, and systematic counting methods. The complexity of these problems demands strong computational fluency combined with strategic thinking, as students must often work backwards from given conditions, recognize patterns in number sequences, and apply multiple mathematical concepts within a single problem. Created by Bryan Tran, a Mathematics teacher in US who teaches grade 6-8. This quiz serves as excellent preparation material for students participating in mathematical olympiad competitions, particularly the Mathematical Olympiad for Elementary and Middle Schools (MOEMS). The problems can be effectively used as challenging warm-up exercises for advanced mathematics classes, homework assignments for gifted and talented programs, or formative assessments to gauge student readiness for competition mathematics. Teachers can implement this quiz as practice sessions before mathematical contests, review material for students studying advanced number theory concepts, or as enrichment activities for students who have mastered standard grade-level content. The quiz aligns with Common Core State Standards 6.EE.B.7, 6.EE.B.8, 7.EE.B.4, and 8.EE.C.8, focusing on solving multi-step equations, working with algebraic expressions, and applying mathematical reasoning to complex word problems.
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Suppose two days before yesterday was Wednesday. What day of the week will it be 100 days from today?
Sunday
Tuesday
Monday
Wednesday
Tags
CCSS.6.NS.B.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The first fifteen multiples of 6 are 6,12, 18, 24, ..., 84, 90. What is the sum of these multiples of 6?
750
900
360
720
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Finn the largest factor of 2520 that is not divisible by 6
315
325
360
380
Tags
CCSS.HSA.APR.D.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given the expression 1990(1991) - 1989(1990). What counting number is equivalent to the expression?
3900
3980
3960
3990
Tags
CCSS.6.EE.A.2C
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Suppose the counting numbers from 1 through 100 are written on paper. What is the total number of 3's and 8's that will appear on the paper?
60
50
30
40
Tags
CCSS.1.NBT.A.1
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
ABCD represents a 4 digit number. The product of its digits is 70. What is the largest number that ABCD can represent?
7521
7215
7125
5721
Tags
CCSS.4.OA.C.5
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The quotient of two numbers is 4 and their difference is 39. What is the smallest number of the two?
39
52
13
42
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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