Tiêu đề WK1 - Y5 - MATH - HW - BASIC ARITHMETIC - AN.docx (1).pdf ✅

Question 1: Step 1: A number, when divided by 18, leaves a remainder 7. The number is of the form 18k + 7 where k is an integer. So, the number can be 7, 25, 43, 61, 79, 97, ... etc. Step 2: These numbers, when divided by 12, leave the remainder 1 or 7. So, r can take two values. Answer: C. 2 Question 2: Step 1: Dividing 86,868,686 by 6,868 to get the remainder- 86,868,686 ÷ 6,868 = 12,648 + remainder 2,222. Answer: A. 2,222 Question 3: Step 1: The average of 7 numbers is 12.2. The sum of the 7 numbers is 7 × 12.2 = 85.4 Step 2: Four numbers have a sum of 42.8. The sum of the other 3 numbers is 85.4 - 42.8 = 42.6 Answer: B. 42.6 Question 4: Step 1: The sum of the units column is 7 + 3 + 2 = 12. 1 is regrouped into the tens column. Step 2: The sum of the hundreds column is 4 + 6 + 1 = 11. So, 1 must have been regrouped from the sum of the tens column. The sum of the tens column is ⚫ + 2 + 6 + 1(the regrouped value) = 12. This gives ⚫ = 3 Answer: C. 3 ©Scholarly 2024. 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.
Question 5: Step 1: The first 5 prime numbers are 2, 3, 5, 7, and 11. 1 is not a prime number. Step 2: The average is (2 + 3 + 5 + 7 + 11)/5 = 28/5 =5.6 Answer: D. 5.6 Question 6: Step 1: Dividing −100 by −30 - -100 = -30q + r (Where q = quotient and r = reminder). -100 = -30(3) + r (The quotient is 3 (integer division)). -100 = -90 + r r = -10. (But reminder could not be negative) Step 2: The remainder should be in the range 0 ≤ r <30. Since -10 is not in the above range we add 30 to the remainder. r = -10 + 30 = 20. So, the remainder is 20. Answer: E. 20 Question 7: Step 1: 48 can be written as 2 × 2 × 2 × 2 × 3 Step 2: So, 7 is not a factor of 48. Eliminate A, C (because 21 = 3 × 7), and D. Similarly, 48 has only one 3 factor. Thus, 9 is not a factor 48. Eliminate B. Answer: D. {2, 4, 6, 8, 12, 16} Question 8: Step 1: The sum is 39 + 40 + 39 + 42 + 45 + 47 + 35 = 287 Step 2: The average is 287 ÷ 7 = 41 Answer: B. 41 ©Scholarly 2024. 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.

Step 2: On Tuesday, the price went up by 10%: $100 × 1.1 = $110 On Wednesday, Tuesday’s price went down by 10%: $110 × 0.9 = $99 Amount made on Wednesday = (100 - 50) × $99 = $4 950 Answer: E. $4 950 Question 14: Step 1: The number of 1/3s in 2 2/3 is 3 2/3 ÷ 1/3 = 11 Step 2: Since 1/3 cm = 15 metres, then the actual length of the river is 11 × 15 = 165 metres Answer: E. 165 metres Question 15: Step 1: The sum is 1/2 + 1/4 = 2/4 + 1/4 = 3/4 Step 2: The average is 3/4 ÷ 2 = 3/4 × 1/2 = 3/8 Answer: D. 3/8 Question 16: Step 1: We know that 1/3 = 0.333... 0.3 < 0.333... 1/4 = 0.25 < 0.333... 1/8 = 0.125 < 0.333... Step 2: 1/0.3 = 10/3 = 3 1/3 > 1⁄3 0.3/2 = 3/20 = 0.15 < 0.333... Answer: D. 1/0.3 Question 17: ©Scholarly 2024. 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.