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SAT — Scholastic Assessment Test (Digital SAT)

SAT Math — Problem-Solving and Data Analysis, Set 2

Take the SAT Math — Problem-Solving and Data Analysis, Set 2: 20 multiple-choice questions (30 minutes) with instant scoring and a full answer review.…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. An $80 jacket is discounted by 15%, and then a further 10% is taken off the sale price. What is the final price?

    • A. $60.00
    • B. $62.00
    • C. $68.00
    • D. $61.20 ✓

    Answer: D. $61.20

    Explanation: 80 × 0.85 × 0.90 = 61.20. (Taking 25% off at once would give 60.)

  2. Q2. A town's population falls from 1,200 to 900. What is the percent decrease?

    • A. 75%
    • B. 25% ✓
    • C. 33.3%
    • D. 30%

    Answer: B. 25%

    Explanation: 300 ÷ 1200 = 0.25 = 25%.

  3. Q3. A recipe for 4 people uses 300 g of flour. How much flour is needed for 10 people?

    • A. 3000 g
    • B. 750 g ✓
    • C. 600 g
    • D. 1200 g

    Answer: B. 750 g

    Explanation: 300 ÷ 4 = 75 g per person; 75 × 10 = 750 g.

  4. Q4. A typist types 240 words in 4 minutes. At the same rate, how many words in 15 minutes?

    • A. 960
    • B. 60
    • C. 900 ✓
    • D. 3600

    Answer: C. 900

    Explanation: 60 words per minute × 15 = 900.

  5. Q5. The mean of five numbers is 12. Four of them are 10, 11, 13 and 15. What is the fifth?

    • A. 12
    • B. 13
    • C. 11 ✓
    • D. 9

    Answer: C. 11

    Explanation: The total is 5 × 12 = 60, and 60 − 49 = 11.

The other 15 questions

Take the timed test (free, no sign-up) to see your score and the answer and explanation for every question.

  1. Q6. What is the median of 2, 8, 3, 9, 5 and 7?

    • A. 5
    • B. 7
    • C. 6
    • D. 5.7

  2. Q7. What is the mode of 3, 4, 4, 6, 7, 7, 7, 9?

    • A. 6
    • B. 7
    • C. 5.9
    • D. 4

  3. Q8. In a class of 60, there are 35 girls, and 14 of the girls prefer science. What is the probability that a randomly chosen girl prefers science?

    • A. 0.4
    • B. 0.23
    • C. 0.58
    • D. 0.14

  4. Q9. A card is drawn from a standard 52-card deck. What is the probability that it is a heart?

    • A. 1/2
    • B. 1/52
    • C. 1/13
    • D. 1/4

  5. Q10. A spinner has 10 equal sections numbered 1 to 10. What is the probability of landing on a multiple of 3?

    • A. 3/10
    • B. 2/5
    • C. 1/3
    • D. 1/10

  6. Q11. A block has a mass of 600 g and a volume of 200 cm³. What is its density?

    • A. 0.33 g/cm³
    • B. 120 g/cm³
    • C. 400 g/cm³
    • D. 3 g/cm³

  7. Q12. Convert 30 metres per second to kilometres per hour.

    • A. 30 km/h
    • B. 1800 km/h
    • C. 50 km/h
    • D. 108 km/h

  8. Q13. The figure shows a box plot. What is the interquartile range?

    Box plot on a number line from 0 to 60: the left whisker starts at 10, the box runs from 20 to 35 with a line at 28, and the right whisker ends at 50.
    • A. 40
    • B. 28
    • C. 15
    • D. 8

  9. Q14. Using the same box plot, what is the range of the data?

    Box plot on a number line from 0 to 60: the left whisker starts at 10, the box runs from 20 to 35 with a line at 28, and the right whisker ends at 50.
    • A. 40
    • B. 15
    • C. 50
    • D. 25

  10. Q15. A table shows y = 5, 10, 20, 40 when x = 0, 1, 2, 3. Which kind of model fits best?

    • A. Exponential, because y doubles each time x increases by 1
    • B. Linear, because y increases by the same amount each time
    • C. Quadratic, because y = x²
    • D. Linear, because y increases by 5 each time

  11. Q16. The histogram shows the scores of 30 students. How many scored 70 or more?

    Histogram of 30 test scores: 50–59 has 4 students, 60–69 has 7, 70–79 has 10, 80–89 has 6 and 90–99 has 3.
    • A. 23
    • B. 10
    • C. 19
    • D. 16

  12. Q17. Using the same histogram, what fraction of the 30 students scored below 60?

    Histogram of 30 test scores: 50–59 has 4 students, 60–69 has 7, 70–79 has 10, 80–89 has 6 and 90–99 has 3.
    • A. 2/15
    • B. 7/30
    • C. 1/5
    • D. 4/7

  13. Q18. A survey of 50 randomly chosen students at one school found that 70% walk to school. To which group can this result most reasonably be applied?

    • A. All students in the country
    • B. All students in the city
    • C. Only the 50 students surveyed and no one else
    • D. Students at that school

  14. Q19. 18 is what percent of 72?

    • A. 40%
    • B. 25%
    • C. 54%
    • D. 18%

  15. Q20. Class A (20 students) has a mean score of 70, and class B (30 students) has a mean of 80. What is the mean of all 50 students?

    • A. 74
    • B. 76
    • C. 75
    • D. 78