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 1731 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 963 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 1089 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 894 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 1327 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 961 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 1160 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 990 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 1097 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 886 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 1373 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 893 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 1300 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 922 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 1619 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 942 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 1333 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:_______________ |
| 10) The mass of a glass bowl and the marbles it contains is 1106 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 982 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 1731 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 963 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1499 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 963 g = 1963 g Step 2: (Mass of marbles) 1963 g - 1731 g = 232 g Step 3: (Doubled mass of marbles) 232 g + 232 g = 464 g Step 4: (Mass of bowl) 1963 g - 464 g = 1499 g The mass of the bowl is 1499 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1089 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 894 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 284 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 894 g = 1894 g Step 2: (Mass of marbles) 1894 g - 1089 g = 805 g Step 3: (Doubled mass of marbles) 805 g + 805 g = 1610 g Step 4: (Mass of bowl) 1894 g - 1610 g = 284 g The mass of the bowl is 284 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1327 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 961 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 693 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 961 g = 1961 g Step 2: (Mass of marbles) 1961 g - 1327 g = 634 g Step 3: (Doubled mass of marbles) 634 g + 634 g = 1268 g Step 4: (Mass of bowl) 1961 g - 1268 g = 693 g The mass of the bowl is 693 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1160 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 990 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 330 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 990 g = 1990 g Step 2: (Mass of marbles) 1990 g - 1160 g = 830 g Step 3: (Doubled mass of marbles) 830 g + 830 g = 1660 g Step 4: (Mass of bowl) 1990 g - 1660 g = 330 g The mass of the bowl is 330 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1097 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 886 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 308 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 886 g = 1886 g Step 2: (Mass of marbles) 1886 g - 1097 g = 789 g Step 3: (Doubled mass of marbles) 789 g + 789 g = 1578 g Step 4: (Mass of bowl) 1886 g - 1578 g = 308 g The mass of the bowl is 308 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1373 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 893 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 853 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 893 g = 1893 g Step 2: (Mass of marbles) 1893 g - 1373 g = 520 g Step 3: (Doubled mass of marbles) 520 g + 520 g = 1040 g Step 4: (Mass of bowl) 1893 g - 1040 g = 853 g The mass of the bowl is 853 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1300 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 922 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 678 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 922 g = 1922 g Step 2: (Mass of marbles) 1922 g - 1300 g = 622 g Step 3: (Doubled mass of marbles) 622 g + 622 g = 1244 g Step 4: (Mass of bowl) 1922 g - 1244 g = 678 g The mass of the bowl is 678 g. |
| 8) The mass of a glass bowl and the marbles it contains is 1619 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 942 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1296 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 942 g = 1942 g Step 2: (Mass of marbles) 1942 g - 1619 g = 323 g Step 3: (Doubled mass of marbles) 323 g + 323 g = 646 g Step 4: (Mass of bowl) 1942 g - 646 g = 1296 g The mass of the bowl is 1296 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1333 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: 770 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 896 g = 1896 g Step 2: (Mass of marbles) 1896 g - 1333 g = 563 g Step 3: (Doubled mass of marbles) 563 g + 563 g = 1126 g Step 4: (Mass of bowl) 1896 g - 1126 g = 770 g The mass of the bowl is 770 g. |
| 10) The mass of a glass bowl and the marbles it contains is 1106 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 982 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 230 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 982 g = 1982 g Step 2: (Mass of marbles) 1982 g - 1106 g = 876 g Step 3: (Doubled mass of marbles) 876 g + 876 g = 1752 g Step 4: (Mass of bowl) 1982 g - 1752 g = 230 g The mass of the bowl is 230 g. |