Grade 10 Mathematics CB-RAT 2024
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Questions and Answers

What is the key difference between permutation and combination?

  • Permutation considers order, combination does not (correct)
  • Combination involves probability, permutation does not
  • Combination deals with arrangement, permutation with selection
  • Order is important in both

How many ways can Sir Jayson choose 6 individuals from the 15 players who applied for the team?

  • 5, 005 (correct)
  • 12, 376
  • 8, 910, 700
  • 3, 603, 600

What is the correct description of the intersection of events in drawing cards?

  • Drawing a face card and a red card (correct)
  • Drawing a face card and a club card
  • Drawing a face card or a king card
  • Drawing a king card or a diamond card

What does the shaded portion in the figure represent?

<p>Intersection of events (D)</p> Signup and view all the answers

What is the key difference between permutation and arrangement?

<p>Permutation considers order, arrangement does not (C)</p> Signup and view all the answers

If 17 players applied for the team, how many ways can Sir Jayson choose 6 individuals?

<p>18, 150 (A)</p> Signup and view all the answers

What is the correct statement about the relationship between permutation and combination?

<p>Combination is a type of permutation (B)</p> Signup and view all the answers

What does the union of events represent in drawing cards?

<p>Drawing a face card or a red card (D)</p> Signup and view all the answers

What is the sample space in the context of drawing cards?

<p>The set of all possible outcomes (C)</p> Signup and view all the answers

What is the correct description of the complement of events in drawing cards?

<p>Not drawing a face card or a red card (D)</p> Signup and view all the answers

Study Notes

Mathematics Review for Grade 10

Sequences and Series

  • Identify the next number in the sequence 7, 15, 24, 34, ___: A. 43, B. 44, C. 45, D. 46
  • Formula for permutation of non-distinct objects: P(n, r) = n! / (n-r)!
  • Arithmetic mean of 3 and 15: A. 10, B. 9

Probability

  • Sample space: all possible outcomes of an experiment
  • Event: a set of outcomes of an experiment
  • Probability of an event: number of favorable outcomes / total number of possible outcomes

Circles

  • Center and radius of a circle: C (0, 0); r = 4, or C (1, 1); r = 4
  • Equation of a circle: (x - 5)² + (y - 0)² = 25
  • Area of a circle: πr²

Combinatorics

  • Permutation: arrangement of objects in a specific order
  • Combination: selection of objects without regard to order
  • Formula for permutation: P(n, r) = n! / (n-r)!
  • Formula for combination: C(n, r) = n! / (r!(n-r)!)
  • Example: number of ways to choose 6 individuals from 15 players: A. 5, 005, B. 12, 376, C. 3, 603, 600, D. 8, 910, 700

Polynomials

  • Factoring polynomials: finding the linear factors of a quadratic expression
  • Example: x² + 5x - 6 = (x + 6)(x - 1)

Geometry

  • Semicircle arch: diameter = 4 meters, length of iron before bending = π meters
  • Circle inside a square: radius = 4 inches, area = 16π sq.in.

Sets

  • Union of sets: all elements in either set A or set B
  • Intersection of sets: all elements common to both sets A and B
  • Example: A = {1, 2, 3, 4}, B = {4, 5, 6, 7}, A ∪ B = {1, 2, 3, 4, 5, 6, 7}, A ∩ B = {4}

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Test your math skills with this quiz based on the 2024 CB-RAT curriculum for 10th grade students. The quiz covers various topics including sequences, permutations, and more. Choose the correct answer for each question to evaluate your knowledge.

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