10 questions · Form 1 Mathematics Bab 4: Ratios, Rates and Proportions
Express 15 minutes to 1 hour as a ratio in its simplest form.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Express 15 minutes to 1 hour as a ratio in its simplest form.
Answer: A
Convert 1 hour to minutes: 60 minutes. Ratio = 15 : 60 = 1 : 4.
2. If a : b = 3 : 4 and the sum of a and b is 35, find the value of b.
Answer: A
Total parts = 3 + 4 = 7 parts = 35 -> 1 part = 5. Value of b = 4 x 5 = 20.
3. If p : q = 2 : 3 and q : r = 6 : 7, find the ratio p : q : r.
Answer: A
Equalise q: p : q = 4 : 6 and q : r = 6 : 7. Thus, p : q : r = 4 : 6 : 7.
4. Find the ratio of 200 cm to 5 m in simplest form.
Answer: A
Convert 5 m to cm: 500 cm. Ratio = 200 : 500 = 2 : 5.
5. Which of the following is a rate?
Answer: A
RM5 per kilogram compares two different quantities (money and mass) with different units, which defines a rate.
6. Express 45% as a ratio in its simplest form.
Answer: A
45% = 45100 = 920 -> 9 : 20.
7. Which of the following ratios is equivalent to 3 : 5?
Answer: A
Multiply both terms by 4: 3 x 4 = 12 and 5 x 4 = 20. Thus, 3 : 5 = 12 : 20.
8. A car travels 180 km in 2 hours. What is its average speed in km/h?
Answer: A
Speed = Distance / Time = 180 km / 2 h = 90 km/h.
9. The ratio of angles in a triangle is 1 : 2 : 3. What is the measure of the largest angle?
Answer: A
Total ratio parts = 1 + 2 + 3 = 6 parts = 180°. 1 part = 30°. Largest angle = 3 parts = 3 x 30° = 90°.
10. If 8 identical books cost RM96, how much do 5 of these books cost?
Answer: A
Cost of 1 book = 968 = RM12. Cost of 5 books = 5 x 12 = RM60.