Grade 10 Mathematics CB-RAT 2024

What is the key difference between permutation and combination?

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

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

What does the shaded portion in the figure represent?

What is the key difference between permutation and arrangement?

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

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

What does the union of events represent in drawing cards?

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

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

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}

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.