Maths Tips📝 Question 1 1. A book costs $15. If a 10% discount is given, how much will you pay for the book? Discount = 10% of $15 = 0.1 x $15 = $1.50 Price after discount = $15 - $1.50 = $13.50 Question 2 2. What is the next number in the sequence: 2, 5, 8, 11, 14? The pattern is adding 3 each time: 2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14, 14 + 3 = 17 Question 3 3. A water tank can hold 2400 litres of water. If 1200 litres are already in the tank, what percentage of the tank is full? Percentage full = (1200 / 2400) x 100% = 0.5 x 100% = 50% Question 4 4. A map has a scale of 1:50 000. If a road is 4cm long on the map, what is the actual length of the road in kilometers? 1cm on the map represents 50 000cm or 0.5km in real life. So 4cm represents 4 x 0.5km = 2km Question 5 5. A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball? Total balls = 5 + 3 = 8. Probability of picking a red ball = 5/8 Question 6 6. A car travels 180km in 3 hours. What is its average speed? Average speed = Total distance / Total time = 180km / 3 hours = 60km/h Question 7 7. A cylinder has a radius of 4cm and a height of 10cm. What is the volume of the cylinder? Volume = πr²h = π x (4)² x 10 = 160π cm³ Question 8 8. A shop sells an item for $450 after applying a 10% discount. What was the original price of the item? Let original price be x. Then 0.9x = $450. x = $450 / 0.9 = $500 Question 9 9. What is the value of x in the proportion 3:5 = x:15? 3/5 = x/15. Cross-multiplying gives 3 x 15 = 5x. 45 = 5x. x = 45 / 5 = 9 Question 10 10. A person invests $2000 at an interest rate of 5% per annum. How much interest will they earn in 2 years? Interest per year = 5% of $2000 = 0.05 x $2000 = $100. Interest in 2 years = 2 x $100 = $200 _