Ordinary level 2025 North West regional mock mathematics 2

Ordinary level 2025 North West regional mock mathematics 2

Ordinary level 2025 North West regional mock mathematics 2

Here is the data extracted from the image:

1. (a) Copy and complete the tree diagram in figure 2. (b) Find the probability that both balls selected are green. (4 marks)

SECTION B

1. i. A boarding and day school has the following fee structure;

• Boarding fee: 450,000FCFA per year,
• Day student fee: 150,000FCFA per year,
• Textbook fee: 25,000FCFA per year,
• Activity fee: 15,000FCFA per year.

(a) Calculate the total fee for a boarding student per year. (b) Calculate the total fee for a day student per year. (c) If a student decides to change from a day student to a boarding student; what is the difference in the total fee per year?

(d) The school offers a 10% discount on the total fee for families with more than one child enrolled. Calculate the total fee for a boarding student with one sibling who is also a boarding student, considering the discount. (2,2,2,3marks)

ii. In Figure 3, D, E, F, G and H are points on the circumference of a circle. ∠FGE=x+20∘ and ∠GHD=2x+10∘ as shown in the figure below.

(a) Using the cyclic quadrilateral theorem, determine the size of the angle marked $\theta$ in terms of $x$. (b) The value of $x$. (c) The size of the angle $DHG$. (6marks)

2. i. The value of a photocopier $t$ years after purchase is given by $V(t)=(9650-860t)$ FCFA. Find: (a) $V(4)$ (b) The value of $t$ when $V(t)=5780$ (c) The original purchase price of the photocopier (5marks)

ii. Given the universal set $\epsilon =\{2,3,4,5,12\}$ and the sets; $A=\{x:x\text{ is an even number},x\in \epsilon \}$ $B=\{x:x\text{ is a factor of }24,x\in \epsilon \}$ $C=\{x:x\text{ is a multiple of }3,x\in \epsilon \}$ (a) List the elements of sets A, B and C