An, a 7th grader sample student reflection note, or report

from a 7th grader  A. 

2025 chapter test 

total 34 correct

21-30 wrong on sprint

8th was wrong on target

Sent from my iPhone

2024 chapter test

Sprint Round

2 Q19 Algebra Silly mistake Didn't set up the equation correctly Underline important parts of the question

3 Q23 Geometry Didn't know how to do it Learn how to do it

4 Q25 Geometry Didn't know how to do it Learn how to do it

5 Q26 Algebra Didn't know how to do it Learn how to do it

6 Q27 Time, Rate, Distance Didn't know how to do it Learn how to do it

7 Q28 Number Theory Didn't know how to do it Learn how to do it

8 Q29 Probability Silly mistake Didn't count all possible scenarios Learn how to do a faster way to solve these probability problems

9 Q30 Geometry Didn't know how to do it Learn how to do it

10 Target

11 Q5 Alegbra Wasn't sure on how to do it. Learn how to do it

12 Q6 Number Theory Didn't know how to do it Learn how to do it

13 Q8 Number Theory Wasn't sure on how to do it. Learn how to do it

14

15 Total score: 32

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June 3, 2025 

2023 chapter

Sprint

Q20 time understood question but couldn't think of a solution learn how to do it Total score: 33

Q26 radicals calculation error I made a calculation error either adding or converting the radicals double check the calculation

Q27 3-D Geometry didn't know how to do it. learn how to do it

1. Q28 counting didn't know how to do it. learn how to do it
   Q30 probability didn't know how to do it. learn how to do it
   Target
   Q4 geometry had an idea but it did not work learn how to do it
   Q6 probability didn't know how to do it learn how to do it
   Q7 2-D+3-D geometry had an idea but it did not work learn how to do it
   Q8 probability had an idea but it did not work learn how to do it
   Team
   Q4 combinatorics didn't know how to do it learn how to do it
   Q7 counting and geometry didn't know how to do it learn how to do it
   Q8 geometry didn't know how to create a picture that suits this problem learn how to do use imagination to help create a picture that suits this problem
   Q9 probability had an idea but it did not work learn how to do it
   Q10 counting silly mistake didn't read the question right underline important phrases
   
   

2.   June 29, 2025

3. 2021 state sprint
   20/30
   
   Q14 Probability silly mistake I included one but I wasn't supposed to When it says inclusive only count the highest number from 1 to H.
   Q18 Geometry silly mistake Instead of 6^2 I put 4^2 which messed up the answer First always label the given side lengths then find the unknown side lengths
   Q19 Number theory had the right number but my thought process wasn't right For these type of problems first find the number by subtracting the remainder then find the number of divisors then subtract by the amount of the divisors that cannot have that remainder and that is your answer
   Q22 Algebra didn't know how to this problem Learn how to do this problem a fast way and accurate way
   Q24 Algebra didn't know how to this problem Learn how to do this problem a fast way and accurate way
   Q25 Probability Had an idea got close but it didn't work Learn how to do this problem a fast way and accurate way
   Q27 Number theory didn't know how to this problem Learn how to do this problem a fast way and accurate way
   Q28 Counting Had an idea but it didn't work Learn how to do this problem a fast way and accurate way
   Q29 geometry Had an idea got close but it didn't work Learn how to do this problem a fast way and accurate way
   Q30 Algebra didn't know how to this problem Learn how to do this problem a fast way and accurate way

2015 Mathcounts National sprint #22 level 1 +

 

2015 Mathcounts National sprint #22

If six people randomly sit down at a table with six chairs, and they do not notice that there are name tags marking assigned seats, what is the probability that exactly three of them sit in the seat he or she was assigned? Express your answer as a common fraction.

Try this yourself first (extremely), then scroll down for solutions.

Method 1-Elementary Counting

Choose the three people who sit correctly: \( \binom{6}{3}=20 \).
The remaining three must all sit incorrectly. A quick check (or listing) shows only two ways: \((A\,B\,C)\) or \((A\,C\,B)\).
Total favourable seatings \(=20\times2=40\); total seatings \(=6!\).
Therefore \( P=\dfrac{40}{720}=\boxed{\tfrac{1}{18}} \).

Method 2 – Derangement formula

Pick the three fixed seats: \( \binom{6}{3}=20 \). Derange the other three: \( !3 = 2 \).
Again \( 20\times2 = 40 \) good seatings, so \[ P \;=\; \frac{20\cdot!3}{6!} \;=\; \boxed{\tfrac{1}{18}} . \]

Derange the remaining 3 people. The number of derangements of 3 items is \[ D_3 \;=\; 3!\left(1 - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!}\right) \;=\; 6\left(1 - 1 + \frac{1}{2} - \frac{1}{6}\right) \;=\; 2. \]

student learning log, a high school student I volunteer

each week a space 

SAT 14 #2 wrong , 15 #2 

SAT 16, #5, 6, wrong , 17, 3 and 6 

2 weeks later  

18, #5 and 5

19  vocab. words 11 - 20 

SAT practice test 8, later math don't know what to do 

2 weeks later 

20, #5, 21, #4

more than a month later 

22, #4 and 5 , 23, #4, 6, 8, 12

30, #5, 31, #9 

32, #4, 5, 33, 2, 9 

local math competition : 21-22  meet 1, # 1, 2, 3 right 

34, #4, 35, #6 and 8 

21-22 math competition meet 2, #1 and 3 , #2 almost 

36 #1，2，3  need to work on harder vocabulary words

37 # 6，9

Math 2021-22 meet 2 # 1 and 3 

5/6/25 This week for reading I did Crack Sat tests 38 and 39 and I only gave myself 15 minutes for each test to time myself. 

For test 38 the questions I got wrong were 1 and 11 and for test 39 the questions I got wrong were 2 and 5. 

Although I felt rushed I was able to complete the test while still comprehending everything so that’s good. 

For math this week I realized that I struggled a lot on the algebra 2 part of the (local math competition) tests so I decided that I should learn some of the curriculum. 

To learn the course I went on Khan academy and did 2 units of the course and I plan on continuing learning the course to help with (local math competition) problems in the future. Thank you.

AOPS videos

6/2, 2025 one interesting question that has nice solution : Beginning level

 

2010 Mathcounts Nationals sprint :

22. Side AB of regular hexagon ABCDEF is extended past B to point X such that AX = 3AB. Given that each side of the hexagon is 2 units long, what is the length of segment FX? Express your answer in simplest radical form.

Try this question first before you scroll down for the solution. 

Then when we draw line FX, and by the Pythagorean Theorem, we have \[ FX = \sqrt{(\sqrt{3})^2 + (1 + 2 + 4)^2} = \sqrt{3 + 49} = \boxed{2\sqrt{13}}. \]

2025 Mathcounts state sprint #22 problem and solution : level 1 +

 

2025 Mathcounts state sprint

#22: Let n be a positive integer less than or equal to 1000. If the last two digits of n are reversed, the resulting integer is exactly 85 percent of n. What is the sum of the possible values of n?

Try this question first. Then scroll down for solution. 

Let n be a positive integer less than or equal to 1000. If the last two digits of n are reversed, the resulting integer is exactly 85 percent of n. What is the sum of the possible values of n?

Let the original number be:

$$n = 100h + 10t + u$$

The number formed by swapping the tens and units digits is:

$$n' = 100h + 10u + t$$

According to the problem:

$$n' = \frac{17}{20}n$$

So \( n \) has to be divisible by 20 (make sure you know why). This implies:

$$u = 0, \quad t \text{ is even}$$

Let:

$$t = 2k, \quad 0 \leq k \leq 4$$

Then:

$$n = 100h + 10t = 100h + 20k$$ $$n' = 100h + t = 100h + 2k$$

Now compute the difference:

$$n - n' = 18k$$

Also, from the given:

$$n - n' = n - \frac{17}{20}n = \frac{3}{20}n$$

Equating both expressions:

$$18k = \frac{3}{20}n \Rightarrow n = 120k$$

Since \( k \neq 0 \), we get:

$$n = 120k$$

Valid values for \( k \in \{1, 2, 3, 4\} \), so the numbers are:

$$120, \quad 240, \quad 360, \quad 480$$

Their sum is:

$$120 + 240 + 360 + 480 = 120(1 + 2 + 3 + 4) = 120 \times 10 = \boxed{1200}$$