10 questions ยท Form 1 Mathematics Bab 4: Ratios, Rates and Proportions
If x : 12 = 5 : 4, find the value of x.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. If x : 12 = 5 : 4, find the value of x.
Answer: A
x12 = 54 -> 4x = 60 -> x = 15.
2. A recipe uses flour and sugar in the ratio 5 : 2. If 250 g of flour is used, how much sugar is needed?
Answer: A
5 parts = 250 g -> 1 part = 50 g. Sugar = 2 parts = 2 x 50 g = 100 g.
3. Express 45% as a ratio in its simplest form.
Answer: A
45% = 45100 = 920 -> 9 : 20.
4. 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.
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. Simplify the fraction ratio 12 : 34.
Answer: A
Multiply both sides by 4 (LCM of denominators): (12 x 4) : (34 x 4) = 2 : 3.
7. In a town, 65% of the population are adults. What is the ratio of adults to non-adults in simplest form?
Answer: A
Adults = 65%, Non-adults = 35%. Ratio = 65 : 35 = 13 : 7.
8. 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.
9. Convert 90 km/h into m/s.
Answer: A
90 x 1000 m3600 s = 900003600 = 25 m/s.
10. Simplify the ratio 0.6 : 1.5.
Answer: A
Multiply by 10 -> 6 : 15. Divide by 3 -> 2 : 5.