Section A – Fast Start (10 marks) 1. Simplify: a) 4 𝑥 + 7 − 2 𝑥 + 3 b) 3 ( 2 𝑦 − 5 ) (4 marks) 2. Solve: a) 5 𝑥 − 8 = 17 b) 3 𝑥 + 4 = 19 (4 marks) 3. Write 0.35 as: a) a fraction in simplest form b) a percentage (2 marks) Section B – Ratio & Proportion (10 marks) 4. The ratio of red pens to blue pens is 3:5. There are 24 pens altogether. a) How many are red? b) How many are blue? (3 marks) 5. A recipe uses 250 g flour for 10 cookies. a) How much flour is needed for 16 cookies? b) How many cookies can be made with 600 g of flour? (4 marks) 6. A map scale is 1 cm : 8 km. Two towns are 6.5 cm apart on the map. Find the real distance. (3 marks) Section C – Angles & Geometry (12 marks) 7. Find the missing angle in each case: a) Angles on a straight line: 125° and 𝑥 b) Angles in a triangle: 48°, 67°, and 𝑦 (4 marks) 8. The angles in a triangle are in the ratio 2:3:4. Find all three angles. (4 marks) 9. A circle has diameter 10 cm. a) Find the radius. b) Find the circumference using 𝜋 = 3 14 (4 marks) Section D – Probability (8 marks) 10. A bag contains 4 red, 3 yellow, and 5 green counters. a) How many counters are there in total? b) Find the probability of choosing a yellow counter. c) Find the probability of not choosing red. (4 marks) 11. Two fair coins are tossed. a) List the sample space. b) Find the probability of getting exactly one head. (4 marks) Section E – Team Challenge (8 marks) 12. A number machine does this: “multiply by 3, then add 5.” If the output is 26, what was the input? (3 marks) 13. Takshay says: “If a die is rolled, the probability of getting a number less than 5 is 5 6 .” Aanjaneya says: “No, it is 4 6 .” Who is correct? Explain. (2 marks) 14. A rectangle has length 𝑥 + 3 and width 𝑥 . Its perimeter is 26 cm. a) Write an equation. b) Solve it. c) Find the rectangle’s length and width. (3 marks)