Challenging Questions Mathematics – Compulsory Part Learning Unit: More about polynomials Question M0-04-04 When a polynomial \( f(x) \) is divided by \( (x – 1) \), \( (x – 2) \), and \( (x – 3) \), the remainders are \( 3, 1 \), and \( 3 \) respectively. Find the remainder when \(... » read more
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about polynomials Question M0-04-03 Given \( f(x) = x^3 + 2x^2 + 3x + 4 \). Find the remainders when: # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about polynomials Question M0-04-02 Given \( f(x) = ax^3 + bx^2 + cx + d \). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about polynomials Question M0-04-01 Divide \(a^2x^4+2abx^3+(2ac+b^2)x^2+2bcx+c^2\) by \(ax^2+bx+c\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: Equations of circles Question M0-13-01 Consider two circles, \(C_1: x^2 + y^2 – 6x – 8y = 0\) \(C_2: x^2 + y^2 – 18x + 8y + 72 = 0\) # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-10 A bag contains 2 white balls (W) and 2 red balls (R). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-09 In a school, \(\frac{1}{8}\) of the students travel by bus, \(\frac{3}{8}\) by car, and the remaining students walk to school. The probabilities of being late are as follows: # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-08 We have n bags with the following compositions: A ball is drawn randomly from bag 1 and placed in bag 2. Then, a ball is drawn randomly from bag 2 and placed in bag 3. This process continues until a ball is... » read more
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-07 Ben and Ron play a badminton match consisting of multiple rounds. In each round, the probability of Ben winning is \(0.6\). # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-06 Consider \(r\) distinct balls distributed uniformly at random into \(n\) distinct boxes, where \(n>r\). Calculate the probability that at least one box contains two or more balls. # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-05 Given five line segments with lengths 1, 2, 3, 4, and 5 units, three segments are selected at random. What is the probability that these three segments can form a triangle? # More challenging questions will be updated # Answer
Challenging Questions Mathematics – Compulsory Part Learning Unit: More about probability Question M0-16-04 Two people, Ben and Ron, take turns rolling a fair six-sided die. Ben rolls first, and Ron rolls second. The first player to roll a one (1 dot) wins the game. # More challenging questions will be updated # Answer