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 1215 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 903 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 1664 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 956 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 1135 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 986 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 1346 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 994 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 1191 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 937 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 1061 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 938 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 1317 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 930 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 1025 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:_______________ |
| 9) The mass of a glass bowl and the marbles it contains is 1442 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:_______________ |
| 10) The mass of a glass bowl and the marbles it contains is 1323 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 997 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 1215 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 903 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 527 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 903 g = 1903 g Step 2: (Mass of marbles) 1903 g - 1215 g = 688 g Step 3: (Doubled mass of marbles) 688 g + 688 g = 1376 g Step 4: (Mass of bowl) 1903 g - 1376 g = 527 g The mass of the bowl is 527 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1664 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 956 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1372 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 956 g = 1956 g Step 2: (Mass of marbles) 1956 g - 1664 g = 292 g Step 3: (Doubled mass of marbles) 292 g + 292 g = 584 g Step 4: (Mass of bowl) 1956 g - 584 g = 1372 g The mass of the bowl is 1372 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1135 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 986 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 986 g = 1986 g Step 2: (Mass of marbles) 1986 g - 1135 g = 851 g Step 3: (Doubled mass of marbles) 851 g + 851 g = 1702 g Step 4: (Mass of bowl) 1986 g - 1702 g = 284 g The mass of the bowl is 284 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1346 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 994 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 698 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 994 g = 1994 g Step 2: (Mass of marbles) 1994 g - 1346 g = 648 g Step 3: (Doubled mass of marbles) 648 g + 648 g = 1296 g Step 4: (Mass of bowl) 1994 g - 1296 g = 698 g The mass of the bowl is 698 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1191 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 937 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 445 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 937 g = 1937 g Step 2: (Mass of marbles) 1937 g - 1191 g = 746 g Step 3: (Doubled mass of marbles) 746 g + 746 g = 1492 g Step 4: (Mass of bowl) 1937 g - 1492 g = 445 g The mass of the bowl is 445 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1061 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 938 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 184 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 938 g = 1938 g Step 2: (Mass of marbles) 1938 g - 1061 g = 877 g Step 3: (Doubled mass of marbles) 877 g + 877 g = 1754 g Step 4: (Mass of bowl) 1938 g - 1754 g = 184 g The mass of the bowl is 184 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1317 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 930 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 704 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 930 g = 1930 g Step 2: (Mass of marbles) 1930 g - 1317 g = 613 g Step 3: (Doubled mass of marbles) 613 g + 613 g = 1226 g Step 4: (Mass of bowl) 1930 g - 1226 g = 704 g The mass of the bowl is 704 g. |
| 8) The mass of a glass bowl and the marbles it contains is 1025 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: 88 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 962 g = 1962 g Step 2: (Mass of marbles) 1962 g - 1025 g = 937 g Step 3: (Doubled mass of marbles) 937 g + 937 g = 1874 g Step 4: (Mass of bowl) 1962 g - 1874 g = 88 g The mass of the bowl is 88 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1442 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: 970 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 914 g = 1914 g Step 2: (Mass of marbles) 1914 g - 1442 g = 472 g Step 3: (Doubled mass of marbles) 472 g + 472 g = 944 g Step 4: (Mass of bowl) 1914 g - 944 g = 970 g The mass of the bowl is 970 g. |
| 10) The mass of a glass bowl and the marbles it contains is 1323 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 997 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 649 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 997 g = 1997 g Step 2: (Mass of marbles) 1997 g - 1323 g = 674 g Step 3: (Doubled mass of marbles) 674 g + 674 g = 1348 g Step 4: (Mass of bowl) 1997 g - 1348 g = 649 g The mass of the bowl is 649 g. |