Tiêu đề WK6 - Y5 - MATH - HW - RATIO & PROPORTION - AN.docx.pdf ✅

Question 1: Step 1: Say The ratio of 5 1/2 to 4 equals the ratio of 8 1/4 to x. 5 1/2 = 11/2 8 1/4 = 33/4 Step 2: Now, we have - (11/2)/4 = (33/4)/x 11/8 = 33/4x 44x = 264 x = 264/44 = 6 So, the number is 6. Answer: A. 6 Question 2: Step 1: Three Knuts equals 1 Sickle, and 4 Sickles equals 1/4 of a Galleon. 3K = S 4S = G/4 Step 2: Now, we have - 4(3K) = G/4 12K = G/4 G = 48K 3G/8 = 48K * 3/8 3/8 * G = 18K So, 18 knuts are equal to 3/8 of a galleon. Answer: E. 18 knuts Question 3: Step 1: A recent study on a random sample shows that 2 out of 5 students in Milford Academy are international students. These results hold true for the 580 000 students in Milford Academy Step 2: The number of international students are - 580,000 * 2/5 = 2,32,000. So, 2,32,000 students in Milford Academy are international. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 1
Answer: C. 2,32,000 students Question 4: Step 1: The volumes of two cubes are in a ratio of 27/8. Say the volume of one cube is 27 and the volume of another cube is 8. 27 = 3 * 3 * 3 So, the length of the edge of the cube is 3 units. Step 2: For the another cube - 8 = 2 * 2 * 2 So, the length of the edge of the cube is 2 units. Thus, the ratio of length between the two cubes is 3/2. Answer: A. 3 to 2 Question 5: Step 1: The ratio of the number of white tokens to the number of black tokens is 3 to 7. Say there are 3x white tokens and 7x black tokens. Total number of tokens are 3x + 7x = 10x. Step 2: 30 is a multiple of 10. Thus, 30 could be the total number of tokens in the box. Answer: A. I only Question 6: Step 1: The ages of Bernice and Denice are in a ratio of 9 to 7. Say the age of Bernice is 9x and Denice is 7x. Step 2: The sum of their ages will be - 9x + 7x = 16x The value of x is unknown. Thus, the sum of their ages could not be determined. Answer: E. It can not be determined ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 2
Question 7: Step 1: Both Bert and Ernie drove for the same amount of time during the road trip, but Bert only drove 2/5 of the total distance. Say the total distance is 10 km. Bert drove - 10 * 2/5 = 4 km. Then, Ernie drove for 10 - 4 = 6 km. Step 2: Bert Average speed was - S = 4/t Ernie’s Average speed was - S = 6/t The ratio of Bert’s average speed to Ernie’s average speed was - (4/t)/(6/t) = 2/3. Answer: C. 2 to 3 Question 8: Step 1: Two Crowns equal 3 Shields, and 3 Shields equal 4 Sceptres. 2C = 3S 3S = 4SC Thus, we can say that - 2C = 4SC C = 2SC Step 2: Multiplying the equation C = 2SC by 9, we have - 2SC * 9 = 9 * C 18SC = 9C So, 18 Sceptres equals 9 Crowns. Answer: A. 9 Crowns Question 9: Step 1: Ed is four times as tall as Edd, who is twice as tall as Eddy. Ed = 4Edd Ed/4 = Edd ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 3