PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 CHAPTER 1 FUNCTIONS 1. Given that ℎ(𝑥) = |2𝑥 − 21|, calculate (a) ℎ(8) (b) find the values of 𝑥 if ℎ(𝑥) = 8. (b) the domain of ℎ(𝑥) < 4 2. 1 Given 𝑓: 𝑥 → 4𝑥 − 9 and 𝑔: 𝑥 → −𝑥 + 6. (a) Find the value of k if 𝑓(𝑘) = 2𝑔(𝑘). (b) 𝑓𝑔(𝑥) (c) 𝑓𝑔(−4) (d) 𝑔𝑓(−4) PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 3. Given 𝑔: 𝑥 → −𝑥 + 6 and ℎ𝑔(𝑥) = 2𝑥 + 13. Find ℎ(𝑥). 4. 2 Given ℎ: 𝑥 → −𝑥 + 6 and ℎ𝑔(𝑥) = 2𝑥 + 13. Find 𝑔(𝑥). PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 5. Given that 𝑓(𝑥) = 3𝑥 + 8. Find 𝑓 −1 (3) 6. 5𝑥 𝑓 −1 = 2𝑥−7 , 𝑥 ≠ 𝑘. (a) State the value of k. (b) Determine 𝑓(𝑥). 3 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 7. Given the function 𝑓: 𝑥 → 3𝑥 + 2 and 𝑓 −1 : 𝑥 → 𝑚𝑥 − 𝑛 . Find the value of m and n. CHAPTER 2 QUADRATIC FUNCTIONS 1. Convert 𝑓(𝑥) = 3𝑥 2 + 6𝑥 − 9 into intercept form. 4 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 2. Convert function 𝑓(𝑥) = (𝑥 + 5)2 − 4 into general form. 3. Solve −3𝑥 2 + 4𝑥 + 2 = 0 by using formula. 5 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 4. Solve 𝑥 2 + 6𝑥 − 5 = 0 by completing the square. 5. Given that 𝛼 and 𝛽 are the roots of 𝑥 2 + 5𝑥 + 𝑝, where p is a constant. (a) Find the value of p if the quadratic equation has two equal roots. (b) Form a new quadratic equation with roots 3𝛼 and 3𝛽. 6 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 6. Find the range of k if the quadratic equation 9𝑥 2 + 𝑝 + 1 = 4𝑝𝑥 has two distinct roots. 7. One of the roots of the equation 𝑥 2 − 8𝑥 + 𝑚 = 0 is three times of the other. Find the value of m. 7 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 CHAPTER 3 SYSTEMS OF EQUATIONS 8 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 CHAPTER 4 INDICES, SURDS AND LOGARITHMS 2. 1. 9 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 3. 4. 10 PANEL OF ADDITIONAL MATHEMATICS SABKL MOCK TEST_MID YEAR F4 2024 5. 6. 11