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 1696 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 951 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 1120 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 879 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 1773 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 905 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 1477 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:_______________ |
| 5) The mass of a glass bowl and the marbles it contains is 1562 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 952 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 1710 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 928 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 1586 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:_______________ |
| 8) 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 956 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 1666 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 887 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 1057 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:_______________ |
| 1) The mass of a glass bowl and the marbles it contains is 1696 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 951 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1441 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 951 g = 1951 g Step 2: (Mass of marbles) 1951 g - 1696 g = 255 g Step 3: (Doubled mass of marbles) 255 g + 255 g = 510 g Step 4: (Mass of bowl) 1951 g - 510 g = 1441 g The mass of the bowl is 1441 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1120 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 879 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 361 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 879 g = 1879 g Step 2: (Mass of marbles) 1879 g - 1120 g = 759 g Step 3: (Doubled mass of marbles) 759 g + 759 g = 1518 g Step 4: (Mass of bowl) 1879 g - 1518 g = 361 g The mass of the bowl is 361 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1773 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 905 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1641 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 905 g = 1905 g Step 2: (Mass of marbles) 1905 g - 1773 g = 132 g Step 3: (Doubled mass of marbles) 132 g + 132 g = 264 g Step 4: (Mass of bowl) 1905 g - 264 g = 1641 g The mass of the bowl is 1641 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1477 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: 968 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 986 g = 1986 g Step 2: (Mass of marbles) 1986 g - 1477 g = 509 g Step 3: (Doubled mass of marbles) 509 g + 509 g = 1018 g Step 4: (Mass of bowl) 1986 g - 1018 g = 968 g The mass of the bowl is 968 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1562 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 952 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1172 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 952 g = 1952 g Step 2: (Mass of marbles) 1952 g - 1562 g = 390 g Step 3: (Doubled mass of marbles) 390 g + 390 g = 780 g Step 4: (Mass of bowl) 1952 g - 780 g = 1172 g The mass of the bowl is 1172 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1710 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 928 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1492 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 928 g = 1928 g Step 2: (Mass of marbles) 1928 g - 1710 g = 218 g Step 3: (Doubled mass of marbles) 218 g + 218 g = 436 g Step 4: (Mass of bowl) 1928 g - 436 g = 1492 g The mass of the bowl is 1492 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1586 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: 1241 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 931 g = 1931 g Step 2: (Mass of marbles) 1931 g - 1586 g = 345 g Step 3: (Doubled mass of marbles) 345 g + 345 g = 690 g Step 4: (Mass of bowl) 1931 g - 690 g = 1241 g The mass of the bowl is 1241 g. |
| 8) 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 956 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1346 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 956 g = 1956 g Step 2: (Mass of marbles) 1956 g - 1651 g = 305 g Step 3: (Doubled mass of marbles) 305 g + 305 g = 610 g Step 4: (Mass of bowl) 1956 g - 610 g = 1346 g The mass of the bowl is 1346 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1666 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 887 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1445 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 887 g = 1887 g Step 2: (Mass of marbles) 1887 g - 1666 g = 221 g Step 3: (Doubled mass of marbles) 221 g + 221 g = 442 g Step 4: (Mass of bowl) 1887 g - 442 g = 1445 g The mass of the bowl is 1445 g. |
| 10) The mass of a glass bowl and the marbles it contains is 1057 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: 218 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 896 g = 1896 g Step 2: (Mass of marbles) 1896 g - 1057 g = 839 g Step 3: (Doubled mass of marbles) 839 g + 839 g = 1678 g Step 4: (Mass of bowl) 1896 g - 1678 g = 218 g The mass of the bowl is 218 g. |