Week One Marathon Log Math Marathon Log
Week 1 • Days 1 & 2
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Date:
DAY 1
1.1: If a student's score on a test increased from 80 to 92, what was the percent increase in the student's score?
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1.2: Solve for x in the equation: 3(x - 4) + 2x = 5x - 12. Provide all steps in your solution.
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DAY 2
2.1: A bag has 4 red, 6 blue, and 10 green marbles. Prob. of selecting a marble that is NOT blue?
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2.2: What is the area of a circle with a diameter of 10 inches? (Use 3.14 for π).
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Math Marathon Log
Week 1 • Days 3 & 4
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Date:
DAY 3
3.1: Solve for y in the system of equations: x + y = 10 and 2x - y = 8.
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3.2: If 3 apples cost $1.50, what is the cost of 7 apples at the same unit rate?
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DAY 4
4.1: Find the median of the following set of numbers: {12, 5, 8, 20, 15}.
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4.2: Find the slope of the line passing through the points (2, 5) and (4, 1).
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Math Marathon Log
Week 1 • Day 5 & Reflection
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Date:
DAY 5
5.1: Calculate the volume of a cylinder with radius 3 cm and height 10 cm. (Use 3.14 for π).
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5.2: Solve the inequality for x: 2x - 5 > 11. Express your answer clearly.
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Week 1 Reflection
Which concept was the most challenging for you this week?
What strategy helped you solve problems more accurately today?
Marathon Review Slides Full TSIA2 Prep
Math Marathon
30 Practice Questions • 15 Complete Days • Mixed Domains
Day 1
Q 1.1 • Percent Increase
If a student’s score on a test increased from 80 to 92, what was the percent increase in the student’s score?
A) 12%
B) 15%
C) 11.5%
D) 20%
Solution 1.1
1. Amount of increase: 92 - 80 = 12
2. Percent calculation: (12 / 80) × 100
3. Final result: 0.15 × 100 = 15% (Answer B)
Day 1
Q 1.2 • Algebra
Solve for x: 3(x - 4) + 2x = 5x - 12.
A) x = 0
B) x = 3
C) No Solution
D) All Real Numbers
Solution 1.2
Distribute: 3x - 12 + 2x = 5x - 12
Combine: 5x - 12 = 5x - 12
Identity: Both sides are identical. All real numbers work. (Answer D)
Day 2
Q 2.1 • Probability
A bag has 4 red, 6 blue, and 10 green marbles. What is the probability of selecting a marble that is NOT blue?
A) 7/10
B) 3/10
C) 1/2
D) 4/5
Solution 2.1
1. Total = 4 + 6 + 10 = 20
2. Not Blue = 4 red + 10 green = 14
3. P = 14 / 20 = 7 / 10 (Answer A)
Day 2
Q 2.2 • Area
What is the area of a circle with a diameter of 10 inches? (Use 3.14 for π)
A) 31.4
B) 62.8
C) 78.5
D) 314
Solution 2.2
1. Radius r = diameter / 2 = 5
2. Area = πr² = 3.14 × 5²
3. 3.14 × 25 = 78.5 (Answer C)
Day 3
Q 3.1 • Systems
Solve for y in the system: x + y = 10 and 2x - y = 8.
A) y=2
B) y=4
C) y=6
D) y=8
Solution 3.1
1. Add equations: 3x = 18 → x = 6
2. Sub into 1st: 6 + y = 10 → y = 4 (Answer B)
Success
Marathon Complete • Refer to Weekly Logs for Worksheets
Week Two Marathon Log Math Marathon Log
Week 2 • Days 6 & 7
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Date:
DAY 6
6.1: Multiply and express in scientific notation: (2 × 10³) × (4 × 10²).
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6.2: Factor the quadratic expression x² - 5x + 6 into its two binomial factors.
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DAY 7
7.1: In a right triangle, the legs measure 6 cm and 8 cm. What is the length of the hypotenuse?
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7.2: Mean of 4 numbers is 10. If three are 5, 10, and 15, what is the fourth number?
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Math Marathon Log
Week 2 • Days 8 & 9
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DAY 8
8.1: Solve the proportion for x: x / 12 = 3 / 4. Show cross-multiplication.
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8.2: Solve the absolute value equation: |x - 3| = 5. Find all solutions.
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DAY 9
9.1: Find the area of a circle with a radius of 4 units. Leave answer in π.
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9.2: If f(x) = x² - 3x, calculate the value of f(5).
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Math Marathon Log
Week 2 • Day 10 & Reflection
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DAY 10
10.1: Toss two fair coins. What is the probability that both show heads?
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10.2: For 2x² + 5x - 3 = 0, find the discriminant b² - 4ac.
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Week 2 Marathon Reflection
What was your biggest 'Aha!' moment during this week's practice?
Which mathematical domain do you feel most confident in after 10 days?
Week Three Marathon Log Math Marathon Log
Week 3 • Day 11 & 12
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Date:
DAY 11
11.1: What is 20% of 40% of 200? Show your step-by-step logic below.
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11.2: Two angles of a triangle are 45° and 75°. What is the measure of the third angle?
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DAY 12
12.1: Simplify the exponential expression: (x³)&sup4; / x². State the power rule used.
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12.2: Calculate the simple interest on a $500 loan at 4% interest for 2 years.
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Math Marathon Log
Week 3 • Day 13 & 14
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Date:
DAY 13
13.1: A square has an area of 64 square units. What is the perimeter of the square?
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13.2: Find the range of the following dataset: {15, 2, 8, 20, 11}.
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DAY 14
14.1: Find the distance between the points (0, 0) and (3, 4) on a coordinate plane.
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14.2: Simplify the expression: (4x + 8) / 4. Show your step-by-step simplification.
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Math Marathon Log
Week 3 • Day 15 & Reflection
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Date:
DAY 15
15.1: A jacket is on sale for 20% off. If the sale price is $64, what was the original price?
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15.2: Find the equation of the line with a slope of 2 that passes through point (0, 3).
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Marathon Success!
Congratulations on finishing the full 15-day preparatory marathon.
Reflect on your growth over the last 15 days:
