Advanced level 2025 South West Regional Mock mathematics statistics 1

Advanced level 2025 South West Regional Mock mathematics statistics 1

Advanced level 2025 South West Regional Mock mathematics statistics 1

Here is the extracted data from the image:

1. Given that 3x2−9x+7≡A(x−3)2+B(x−3)+C, then the values of A, B and C respectively are: A. 3, -9, 7 B. 3, -27, 31 C. 3, 9, -2 D. 3, -2, -2

2. The range of values of $x$ for which $|x-5|>2$ is: A. $3<x<7$ B. $x<3$ or $x>7$ C. $-3<x<7$ D. $-3<x<-7$

3. When the polynomial $f(x)$ is divided by x2+2x−3, the quotient and remainder are x2−2x−3 and $2x-1$ respectively, $f(x)=$ A. x4+8x2−3x+1 B. x4+3x3−8x2 C. x4−8x2−3x+1 D. x4−8x2+3x+1

4. If (2x−1)2(1+x)1−3x​=2x−1P​+(2x−1)2Q​+1+xR​, then A. P=2514​,Q=−51​,R=257​ B. P=−2514​,Q=51​,R=257​ C. P=2514​,Q=51​,R=−257​ D. P=−2514​,Q=−51​,R=257​

5. Given that f(x)={x+5x2​,0,​for x=−5for x=−5​ The coefficient of x2 in the binomial expansion of (1−3x)−1/2 is: A. −81​ B. 89​ C. −29​ D. 29​

6. A partial ordered relation is one which is A. reflexive, symmetric and transitive B. reflexive, antisymmetric and transitive C. reflexive, symmetric and non – transitive D. reflexive, antisymmetric and non – transitive

7. The equation 3x2−4=9x has roots A. -4, 6 B. 4, -6 C. 4, -2 D. -4, 2

8. The first term of an arithmetic progression is $\log a$ and the 10th term is $\log 9a$. The common difference is A. $\log 3$ B. $\log 8a$ C. 92​ D. 91​log9

9. The number of ways in which the letters of the word MATHEMATICS can be arranged are A. 2!3!1!1!2!1!1!11!​ B. $11!$ C. 2!2!2!11!​ D. 4!2!11!​

10. The logical statement $\sim (p\wedge q)$ can still be written A. $\sim p\wedge \sim q$ B. $\sim p\vee \sim q$ C. $\sim p\wedge q$ D. $p\vee \sim q$

11. One of the solutions to the equation sin(θ+6π​)−sin(θ−6π​)=21​ is A. 35π​ B. 53π​ C. 4π​ D. 2π​