Problem-Solving and Data Analysis

Original, AI-authored English practice with worked guidance. Selected topics only; independent teacher review is pending. This is not a complete syllabus, official past-paper collection or predicted exam score. SubjectScout is not affiliated with or endorsed by College Board. SAT practice is not a full adaptive test; AP practice does not simulate an entire exam.

28 original questions across 4 selected topic areas. No account or payment required to practise.

9 questions in this topic. Exact English revisions checked in an AI-assisted academic review; independent teacher approval is still pending.

Question 5 · Problem-Solving and Data Analysis · foundation

A jacket costs $80 before a 15% discount. What is its discounted price, before tax?A. $12B. $65C. $68D. $92

Question 6 · Problem-Solving and Data Analysis · foundation

A bag contains 4 red, 3 blue and 5 green counters. One counter is chosen at random, each equally likely. What is the probability it is blue?A. 1/4B. 1/3C. 3/5D. 3/8

Question 13 · Problem-Solving and Data Analysis · standard

Ten students have a mean score of 72 and fifteen other students have a mean score of 82. What is the combined mean?A. 77B. 78C. 79D. 80

Question 14 · Problem-Solving and Data Analysis · challenge

In a group of 60 students, 30 study music and 18 play a sport; 12 do both. A student is selected at random from the music students. What is the probability that student plays a sport?A. 1/5B. 2/5C. 3/5D. 2/3

Question 21 · Problem-Solving and Data Analysis · standard

A cyclist travels at a constant 18 kilometres per hour. How many metres does the cyclist travel in 40 seconds?A. 120B. 200C. 720D. 1200

Question 22 · Problem-Solving and Data Analysis · standard

For a dataset of plants observed from day 1 through day 20, the fitted line h = 2.4d + 5 models height h in centimetres on day d. What height does the model predict on day 10?A. 24 cmB. 25.4 cmC. 29 cmD. 74 cm

Question 23 · Problem-Solving and Data Analysis · standard

A random sample estimates that 62% of a city's adults support a proposal, with a margin of error of 4 percentage points. Which interval is formed by that estimate plus or minus the margin of error?A. 58% to 66%B. 60% to 64%C. 62% to 66%D. 4% to 62%

Question 24 · Problem-Solving and Data Analysis · challenge

A researcher selects 120 seedlings available at one nursery, not a random sample of all plants, and randomly assigns them to fertilizer or no fertilizer, keeping light, water and soil conditions matched. Which conclusion best describes what random assignment supports?A. Any result automatically applies to every plant species.B. Random assignment guarantees identical heights in both groups.C. A difference in mean growth can never occur by chance.D. It helps support a causal comparison for these seedlings, but does not by itself establish generalization to all plants.

Question 28 · Problem-Solving and Data Analysis · standard

Dataset A is 3, 5, 7, 9, 11. Dataset B is formed by adding 4 to every value in A. Which statement correctly compares their means and standard deviations?A. Both increase by 4.B. The mean increases by 4; the standard deviation is unchanged.C. The mean is unchanged; the standard deviation increases by 4.D. Both are unchanged.

SAT Math: Problem-Solving and Data Analysis