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 1081 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 932 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 1283 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 912 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 1565 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 909 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 1101 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 987 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 1753 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 981 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 1782 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 926 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 1651 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 984 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 1269 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:_______________ |
| 9) The mass of a glass bowl and the marbles it contains is 1203 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 878 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 1484 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 874 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 1081 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 932 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 932 g = 1932 g Step 2: (Mass of marbles) 1932 g - 1081 g = 851 g Step 3: (Doubled mass of marbles) 851 g + 851 g = 1702 g Step 4: (Mass of bowl) 1932 g - 1702 g = 230 g The mass of the bowl is 230 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1283 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 912 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 654 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 912 g = 1912 g Step 2: (Mass of marbles) 1912 g - 1283 g = 629 g Step 3: (Doubled mass of marbles) 629 g + 629 g = 1258 g Step 4: (Mass of bowl) 1912 g - 1258 g = 654 g The mass of the bowl is 654 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1565 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 909 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1221 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 909 g = 1909 g Step 2: (Mass of marbles) 1909 g - 1565 g = 344 g Step 3: (Doubled mass of marbles) 344 g + 344 g = 688 g Step 4: (Mass of bowl) 1909 g - 688 g = 1221 g The mass of the bowl is 1221 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1101 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 987 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 215 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 987 g = 1987 g Step 2: (Mass of marbles) 1987 g - 1101 g = 886 g Step 3: (Doubled mass of marbles) 886 g + 886 g = 1772 g Step 4: (Mass of bowl) 1987 g - 1772 g = 215 g The mass of the bowl is 215 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1753 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 981 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1525 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 981 g = 1981 g Step 2: (Mass of marbles) 1981 g - 1753 g = 228 g Step 3: (Doubled mass of marbles) 228 g + 228 g = 456 g Step 4: (Mass of bowl) 1981 g - 456 g = 1525 g The mass of the bowl is 1525 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1782 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 926 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1638 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 926 g = 1926 g Step 2: (Mass of marbles) 1926 g - 1782 g = 144 g Step 3: (Doubled mass of marbles) 144 g + 144 g = 288 g Step 4: (Mass of bowl) 1926 g - 288 g = 1638 g The mass of the bowl is 1638 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1651 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 984 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1318 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 984 g = 1984 g Step 2: (Mass of marbles) 1984 g - 1651 g = 333 g Step 3: (Doubled mass of marbles) 333 g + 333 g = 666 g Step 4: (Mass of bowl) 1984 g - 666 g = 1318 g The mass of the bowl is 1318 g. |
| 8) The mass of a glass bowl and the marbles it contains is 1269 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: 577 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 961 g = 1961 g Step 2: (Mass of marbles) 1961 g - 1269 g = 692 g Step 3: (Doubled mass of marbles) 692 g + 692 g = 1384 g Step 4: (Mass of bowl) 1961 g - 1384 g = 577 g The mass of the bowl is 577 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1203 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 878 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 528 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 878 g = 1878 g Step 2: (Mass of marbles) 1878 g - 1203 g = 675 g Step 3: (Doubled mass of marbles) 675 g + 675 g = 1350 g Step 4: (Mass of bowl) 1878 g - 1350 g = 528 g The mass of the bowl is 528 g. |
| 10) 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 874 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1094 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 874 g = 1874 g Step 2: (Mass of marbles) 1874 g - 1484 g = 390 g Step 3: (Doubled mass of marbles) 390 g + 390 g = 780 g Step 4: (Mass of bowl) 1874 g - 780 g = 1094 g The mass of the bowl is 1094 g. |