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High School SAT Prep Math — Advanced — Set 2

SAT Math — Advanced Math & Data Analysis (Set 2)

A second round of Advanced Math and Data Analysis practice — fresh quadratics, growth, ratios and statistics questions.

Exam Tips for Advanced Math

1. For exponential growth, multiply the starting value by the growth factor raised to the number of periods.
2. Percent decrease: divide by (1 minus the percent), don't just subtract the percent from 100 and multiply.
3. Mean vs. median: mean uses every value; median only cares about the middle position(s).
4. Watch your sign when squaring negative numbers — a negative squared is always positive.

Knowledge Check

SAT Style

Answer all 10 questions. A calculator is allowed, just like the real digital SAT.

Score: 0 / 0

Question 1 — Quadratic equations

What are the solutions to x² + 2x - 15 = 0?

Question 2 — Exponential growth

A population of insects triples every year, starting at 50. How many are there after 2 years?

Question 3 — Percentages

A laptop's price is reduced by 25% to a sale price of $90. What was the original price?

Question 4 — Ratios

Paint is mixed in a ratio of 3 parts blue to 4 parts yellow. If 12 liters of blue are used, how much yellow is needed?

Question 5 — Statistics

A data set is: 7, 10, 10, 15, 18. What is the mean?

Question 6 — Data interpretation

A scatterplot shows a company's operating cost falling steadily over 4 years, from $9 million to $3 million. What is the approximate average rate of decrease per year?

Question 7 — Probability

A bag contains 4 red and 6 blue marbles. What is the probability of drawing a red marble?

Question 8 — Function evaluation

If h(x) = 2x² + 3, what is h(-2)?

Question 9 — Percentages

A price of $80 drops to $60. What is the percent decrease?

Question 10 — Statistics

Test scores were: 18, 22, 25, 30, 41. What is the range?

Key Concepts Summary