9th Grade Logic

9th Grade Logic

10th Grade Logic

11th Grade Logic

12th Grade Logic

Rubis Problem

100

The product of four consecutive whole numbers is 3024.
What are these numbers?
{1,2,3,4},
{6,7,8,9},
{5,6,7,8},{7,8,9,10}

What is {6,7,8,9}

100

I don’t quite remember my five-digit password.
The first and last digits are the same, 542 is in the middle, and the password is divisible by 9.
What is the first digit?

What is 8

100

Sixty-five students want to share 15 melons.
They decide that four boys share a melon and five girls share a melon.
How many girls are there?

What is 25 girls

100

An analogue clock loses 15 minutes each hour.
If the clock is set correctly at noon, what time is shown when it reads the correct time for the first time again?

What is 12:00

100

What

yes

200

Of the 26 capital letters, how many are symmetrical along both the vertical and the horizontal axes?

What is 4

200

Three children and two adults want to cross a river.
Their boat can carry only one adult or three children.
An empty boat cannot cross the river.
What is the minimum number of crossing to get the people to the other side?

What is 7

200

Yellow Taxi Service charges $1.20 for the first mile and $.79 for each additional mile.
How far could I go for $20 if I gave the driver a $3 tip?

What is 21 miles

200

If 12 workers take 7 hours to build a brick wall 21 m long and 4 m high, how long will it take 11 workers to build a brick wall 1 m longer and 1 m higher?

What is 10 hrs

200

Severns' favorite phrase?

What is "It's a great day for running"

300

Eugenia's grandmother bought a new car for $55,000 in 1970.
The car depreciated in value 10% each year until 1990.
After 1990, it increased in value by 10% each year.
{How much was the car worth in 2010?
(more, less, equal too, or nothing)}

What is less than $55,000

300

You are shrunk so that your height is equal to the diameter of a dime (a ten-cent coin) and your mass is proportionally reduced so as to maintain your original density.
{Who is heavier, you or the dime or the same?}

What is You

300

There is a set of 9 numbers: 1,2,3,4,5,6,7,8,9.
Five numbers are selected from the set and added together.
The remaining four numbers are also added together. These two sums are then multiplied.
What is the maximum possible product?

What is 506

300

1. At least 1 of these 6 statements is false
2. At least 2 of these 6 statements are false
3. At least 3 of these 6 statements are false
4. At least 4 of these 6 statements are false
5. At least 5 of these 6 statements are false
6. At least 6 of these 6 statements are false
How many sentences are true?

What is 3

300

Who says persevere?

What is Ms. Latigay

400

Six post office employees are working today.
It takes one employee one minute to serve one person.
How long would you have to wait in the line if you hold number 321 if they are currently serving number 123

What is 33 minutes

400

The sum of ages of two brothers is 55 and the elder brother is 9 years older than his young brother.
The age of a brother is same as his brother’s age with the digits reversed.
How old is the elder brother?

What is 32

400

Bill (B), Cindy (C), and Daniel (D) work on a project.
(1) Together, B and C can complete it in 10 days.
(2) Together, C and D can complete it in 12 days.
(3) Together, D and B can complete it in 15 days.
{How many days are needed for Bill to complete the project?}

What is 20 days

400

The product of 2 integers is 1000.
Find the smallest possible sum of these numbers.

What is 65

400

When is Pre MESA Day?

March 10

500

In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

What is 4

500

Mr. Smith can read 1 page in 2 minutes. His wife can read 2 pages in 3 minute.
Reading together two different books, how many minutes will it take them to read 77 pages?

What is 66 minutes

500

Anna bought 1 slice of mushroom pizza and 2 slices of cheese pizza for a total of $3.
Bill bought 4 slices of mushroom pizza and 5 slices of cheese pizza for a total of $10.
What is the cost of one slice of mushroom pizza?

What is $0.50

500

Four painters can complete a painting job in 20 days.
12 more painters join the team 4 days after starting work on the job.
How many days do they work?

What is 8 days

500

What are the MESA Competitions?

National Engineering Design Challenge
Civil Structures
Prosthetic Arm
MESA Tank
The MESA Machine: Ball Launch
Wright Turn Glider

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