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 mass of a glass bowl and the marbles it contains is 1484 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 924 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 2) The mass of a glass bowl and the marbles it contains is 1612 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 996 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 3) The mass of a glass bowl and the marbles it contains is 1066 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 962 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 4) The mass of a glass bowl and the marbles it contains is 1638 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 949 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 5) The mass of a glass bowl and the marbles it contains is 1052 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 900 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 6) The mass of a glass bowl and the marbles it contains is 1016 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 975 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 7) The mass of a glass bowl and the marbles it contains is 1245 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 896 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 8) The mass of a glass bowl and the marbles it contains is 1742 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 933 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 9) The mass of a glass bowl and the marbles it contains is 1157 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 931 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 10) The mass of a glass bowl and the marbles it contains is 1448 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 914 g. Assuming that each marble has the same mass, what is the mass of the empty bowl g Answer:_______________ |
| 1) The mass of a glass bowl and the marbles it contains is 1484 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 924 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1044 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 924 g = 1924 g Step 2: (Mass of marbles) 1924 g - 1484 g = 440 g Step 3: (Doubled mass of marbles) 440 g + 440 g = 880 g Step 4: (Mass of bowl) 1924 g - 880 g = 1044 g The mass of the bowl is 1044 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1612 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 996 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1228 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 996 g = 1996 g Step 2: (Mass of marbles) 1996 g - 1612 g = 384 g Step 3: (Doubled mass of marbles) 384 g + 384 g = 768 g Step 4: (Mass of bowl) 1996 g - 768 g = 1228 g The mass of the bowl is 1228 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1066 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 962 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 170 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 962 g = 1962 g Step 2: (Mass of marbles) 1962 g - 1066 g = 896 g Step 3: (Doubled mass of marbles) 896 g + 896 g = 1792 g Step 4: (Mass of bowl) 1962 g - 1792 g = 170 g The mass of the bowl is 170 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1638 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 949 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1327 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 949 g = 1949 g Step 2: (Mass of marbles) 1949 g - 1638 g = 311 g Step 3: (Doubled mass of marbles) 311 g + 311 g = 622 g Step 4: (Mass of bowl) 1949 g - 622 g = 1327 g The mass of the bowl is 1327 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1052 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 900 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 204 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 900 g = 1900 g Step 2: (Mass of marbles) 1900 g - 1052 g = 848 g Step 3: (Doubled mass of marbles) 848 g + 848 g = 1696 g Step 4: (Mass of bowl) 1900 g - 1696 g = 204 g The mass of the bowl is 204 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1016 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 975 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 57 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 975 g = 1975 g Step 2: (Mass of marbles) 1975 g - 1016 g = 959 g Step 3: (Doubled mass of marbles) 959 g + 959 g = 1918 g Step 4: (Mass of bowl) 1975 g - 1918 g = 57 g The mass of the bowl is 57 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1245 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 896 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 594 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 896 g = 1896 g Step 2: (Mass of marbles) 1896 g - 1245 g = 651 g Step 3: (Doubled mass of marbles) 651 g + 651 g = 1302 g Step 4: (Mass of bowl) 1896 g - 1302 g = 594 g The mass of the bowl is 594 g. |
| 8) The mass of a glass bowl and the marbles it contains is 1742 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 933 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1551 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 933 g = 1933 g Step 2: (Mass of marbles) 1933 g - 1742 g = 191 g Step 3: (Doubled mass of marbles) 191 g + 191 g = 382 g Step 4: (Mass of bowl) 1933 g - 382 g = 1551 g The mass of the bowl is 1551 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1157 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 931 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 383 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 931 g = 1931 g Step 2: (Mass of marbles) 1931 g - 1157 g = 774 g Step 3: (Doubled mass of marbles) 774 g + 774 g = 1548 g Step 4: (Mass of bowl) 1931 g - 1548 g = 383 g The mass of the bowl is 383 g. |
| 10) The mass of a glass bowl and the marbles it contains is 1448 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 914 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 982 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 914 g = 1914 g Step 2: (Mass of marbles) 1914 g - 1448 g = 466 g Step 3: (Doubled mass of marbles) 466 g + 466 g = 932 g Step 4: (Mass of bowl) 1914 g - 932 g = 982 g The mass of the bowl is 982 g. |