Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) The sum of all the factors of 22 is the 3rd multiple of a number. Answer:_______________ |
| 2) The sum of all the factors of 20 is the 3rd multiple of a number. Answer:_______________ |
| 3) The sum of all the factors of 35 is the 4th multiple of a number. Answer:_______________ |
| 4) The sum of all the factors of 28 is the 8th multiple of a number. Answer:_______________ |
| 5) The sum of all the factors of 24 is the 10th multiple of a number. Answer:_______________ |
| 6) The sum of all the factors of 22 is the 2nd multiple of a number. Answer:_______________ |
| 7) The sum of all the factors of 36 is the 7th multiple of a number. Answer:_______________ |
| 8) The sum of all the factors of 39 is the 4th multiple of a number. Answer:_______________ |
| 9) The sum of all the factors of 21 is the 4th multiple of a number. Answer:_______________ |
| 10) The sum of all the factors of 35 is the 8th multiple of a number. Answer:_______________ |
| 1) The sum of all the factors of 22 is the 3rd multiple of a number. SOLUTION 1 : Step 1: Factors of 22 → 1, 2, 11, and 22. Step 2: 1 + 2 + 11 +22 = 36 Step 3: 3rd multiple = 36 Step 4: 36 ÷ 3 = 12 The number is 12. |
| 2) The sum of all the factors of 20 is the 3rd multiple of a number. SOLUTION 1 : Step 1: Factors of 20 → 1, 2, 4, 5, 10 and 20. Step 2: 1 + 2 + 4 + 5 + 10 + 20 = 42 Step 3: 3rd multiple = 42 Step 4: 42 ÷ 3 = 14 The number is 14. |
| 3) The sum of all the factors of 35 is the 4th multiple of a number. SOLUTION 1 : Step 1: Factors of 35 → 1, 5, 7,and 35. Step 2: 1 + 5 + 7 + 35 = 48 Step 3: 4th multiple = 48 Step 4: 48 ÷ 4 = 12 The number is 12. |
| 4) The sum of all the factors of 28 is the 8th multiple of a number. SOLUTION 1 : Step 1: Factors of 28 → 1, 2, 4, 7, 14 and 28. Step 2: 1 + 2 + 4 + 7 + 14 + 28 = 56 Step 3: 8th multiple = 56 Step 4: 56 ÷ 8 = 7 The number is 7. |
| 5) The sum of all the factors of 24 is the 10th multiple of a number. SOLUTION 1 : Step 1: Factors of 24 → 1, 2, 3, 4, 6, 8, 12 and 24. Step 2: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 = 60 Step 3: 10th multiple = 60 Step 4: 60 ÷ 10 = 6 The number is 6. |
| 6) The sum of all the factors of 22 is the 2nd multiple of a number. SOLUTION 1 : Step 1: Factors of 22 → 1, 2, 11, and 22. Step 2: 1 + 2 + 11 +22 = 36 Step 3: 2nd multiple = 36 Step 4: 36 ÷ 2 = 18 The number is 18. |
| 7) The sum of all the factors of 36 is the 7th multiple of a number. SOLUTION 1 : Step 1: Factors of 36 → 1, 2, 3, 4, 6, 9, 12, 18 and 36. Step 2: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91 Step 3: 7th multiple = 91 Step 4: 91 ÷ 7 = 13 The number is 13. |
| 8) The sum of all the factors of 39 is the 4th multiple of a number. SOLUTION 1 : Step 1: Factors of 39 → 1, 3, 13, and 39. Step 2: 1 + 3 + 13 + 39 = 56 Step 3: 4th multiple = 56 Step 4: 56 ÷ 4 = 14 The number is 14. |
| 9) The sum of all the factors of 21 is the 4th multiple of a number. SOLUTION 1 : Step 1: Factors of 21 → 1, 3, 7 and 21. Step 2: 1 + 3 + 7 + 21 = 32 Step 3: 4th multiple = 32 Step 4: 32 ÷ 4 = 8 The number is 8. |
| 10) The sum of all the factors of 35 is the 8th multiple of a number. SOLUTION 1 : Step 1: Factors of 35 → 1, 5, 7,and 35. Step 2: 1 + 5 + 7 + 35 = 48 Step 3: 8th multiple = 48 Step 4: 48 ÷ 8 = 6 The number is 6. |