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  1. Prepare for an exam
  2. /SAT
Exam preparation

SAT preparation

SAT Math practice: algebra, data analysis and problem solving.

41 questions · 36 problems

With a Standard plan

Paper pattern

Our full SAT papers follow this pattern.

  • Mathematics

    20 questions, 25 minutes

    Correct answer +1, no marks lost for a wrong answer

Practice questions and problems

Hardest first. Try each one on paper before you see the answer.

Mathematics

Questions

  • HardFactorise x³ - 2x² - 9x + 18. How many zeroes does it have, and what is their sum?
  • Hardx - 2 and x + 1 are both factors of x³ + px² + qx + 4. What is p?
  • HardA man travels 20 km in 3 hours. He walks part of the way at 4 km/h and cycles the rest at 12 km/h. How far does he walk?
  • HardTwo lines, x + y = 10 and x - y = 4, cut the y-axis at two points and meet each other at a third. Find the area of the triangle with these three corners.

All problems for this exam

  • SAT problems →

The full list, by topic and level, each with a worked solution.

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  • HardA father is 3 times as old as his son. In 10 years he will be 2 times as old as his son. How old is the son now?
    • More Mathematics questions for SAT →

    Problems with worked solutions

    • HardA stone is thrown upwards. After t seconds its height is h = 30t - 5t² metres.
    • HardMeera's age two years ago, multiplied by her age five years from now, gives 98.
    • HardFor what value of k do A(-1, 4), B(1, 1) and C(5, k) lie on one straight line?
    • HardA(-1, 1), B(3, 1) and C(4, 8) are three corners of the parallelogram ABCD.
    • HardA mother is 4 times as old as her daughter.
    More Mathematics problems for SAT →

    Statistics & Data Science

    Questions

    • HardA coaching centre has a morning batch of 20 learners, whose mean mark is 60, and an evening batch of 30, whose mean mark is 70. What is the mean mark of all 50 learners?
    • HardThe bar chart shows how many brothers and sisters each of 25 students has. What is the median number?
    • HardIn a month, the 4 windy days had a mean highest temperature of 18 °C and the 16 calm days 22 °C. What is the mean of all 20 days?
    • HardIn a club, 15 boys have a mean mass of 40 kg and 10 girls have a mean mass of 35 kg. What is the mean mass of all 25 members?
    • HardNine values have a mean of 20. A tenth value, 30, is added. What is the new mean?
    More Statistics & Data Science questions for SAT →

    Problems with worked solutions

    • MediumIn a quiz, 12 students scored 5 each and 28 students scored 9 each.
    • MediumA batsman has a mean of 42 runs over 6 innings.
    • HardA survey of 12 students gave a mean of 14 hours of study a week.
    • HardClass A has 24 students with a mean mark of 58.
    More Statistics & Data Science problems for SAT →