UTBK-SNBT (Indonesia) · Penalaran Matematika

Geometri, Pengukuran dan Peluang

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. A cylinder has height and base radius . A cone of identical base and height is carved out from inside the cylinder. What is the remaining volume in ?
  2. In triangle ABC, side , side , and side . What is the exact value of ?
  3. A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If 2 marbles are drawn simultaneously at random, what is the probability that both are blue?
  4. A circle is centered at and passes through . What is the equation of this circle?
  5. Two fair six-sided dice are rolled. What is the probability that the sum of the numbers shown is a prime number?
  6. A rectangular prism has length 8 cm, width 6 cm, and height 5 cm. What is the total surface area in ?
  7. How many distinct 4-letter arrangements can be made using the letters of the word 'LOGIC' without repetition?
  8. In a right triangle, hypotenuse and one leg . What is the area of this triangle in ?
  9. A dataset consists of numbers: 4, 8, 12, 16, 20. If each number is increased by 3 and then multiplied by 2, what is the new standard deviation?
  10. In a regular hexagon of side length , what is the total area in ?
  11. From a group of 6 men and 4 women, a delegation of 3 people is selected at random. What is the probability that the delegation contains at least 2 women?
  12. If the radius of a sphere is doubled, by what factor does its surface area increase?
  13. In a school of 120 students, 70 study Biology, 50 study Chemistry, and 20 study both. How many students study neither Biology nor Chemistry?
  14. A line segment connects and . What are the coordinates of the midpoint ?
  15. The perimeter of a rectangle is 36 cm and its area is 80 . What is the difference between its length and width?
  16. What is the acute angle between the hands of an analog clock at 3:30?
  17. A cone has base radius 3 cm and slant height 5 cm. What is its volume in ?

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