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 1038 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:_______________ |
| 2) The mass of a glass bowl and the marbles it contains is 1322 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:_______________ |
| 3) The mass of a glass bowl and the marbles it contains is 1387 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:_______________ |
| 4) The mass of a glass bowl and the marbles it contains is 1766 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 991 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 1766 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:_______________ |
| 6) The mass of a glass bowl and the marbles it contains is 1793 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 890 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 1004 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 965 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 1661 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 959 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 1294 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:_______________ |
| 10) The mass of a glass bowl and the marbles it contains is 1011 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 946 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 1038 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: 182 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 894 g = 1894 g Step 2: (Mass of marbles) 1894 g - 1038 g = 856 g Step 3: (Doubled mass of marbles) 856 g + 856 g = 1712 g Step 4: (Mass of bowl) 1894 g - 1712 g = 182 g The mass of the bowl is 182 g. |
| 2) The mass of a glass bowl and the marbles it contains is 1322 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: 682 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 962 g = 1962 g Step 2: (Mass of marbles) 1962 g - 1322 g = 640 g Step 3: (Doubled mass of marbles) 640 g + 640 g = 1280 g Step 4: (Mass of bowl) 1962 g - 1280 g = 682 g The mass of the bowl is 682 g. |
| 3) The mass of a glass bowl and the marbles it contains is 1387 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: 818 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 956 g = 1956 g Step 2: (Mass of marbles) 1956 g - 1387 g = 569 g Step 3: (Doubled mass of marbles) 569 g + 569 g = 1138 g Step 4: (Mass of bowl) 1956 g - 1138 g = 818 g The mass of the bowl is 818 g. |
| 4) The mass of a glass bowl and the marbles it contains is 1766 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 991 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1541 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 991 g = 1991 g Step 2: (Mass of marbles) 1991 g - 1766 g = 225 g Step 3: (Doubled mass of marbles) 225 g + 225 g = 450 g Step 4: (Mass of bowl) 1991 g - 450 g = 1541 g The mass of the bowl is 1541 g. |
| 5) The mass of a glass bowl and the marbles it contains is 1766 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: 1550 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 982 g = 1982 g Step 2: (Mass of marbles) 1982 g - 1766 g = 216 g Step 3: (Doubled mass of marbles) 216 g + 216 g = 432 g Step 4: (Mass of bowl) 1982 g - 432 g = 1550 g The mass of the bowl is 1550 g. |
| 6) The mass of a glass bowl and the marbles it contains is 1793 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 890 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1696 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 890 g = 1890 g Step 2: (Mass of marbles) 1890 g - 1793 g = 97 g Step 3: (Doubled mass of marbles) 97 g + 97 g = 194 g Step 4: (Mass of bowl) 1890 g - 194 g = 1696 g The mass of the bowl is 1696 g. |
| 7) The mass of a glass bowl and the marbles it contains is 1004 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 965 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 43 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 965 g = 1965 g Step 2: (Mass of marbles) 1965 g - 1004 g = 961 g Step 3: (Doubled mass of marbles) 961 g + 961 g = 1922 g Step 4: (Mass of bowl) 1965 g - 1922 g = 43 g The mass of the bowl is 43 g. |
| 8) The mass of a glass bowl and the marbles it contains is 1661 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 959 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 1363 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 959 g = 1959 g Step 2: (Mass of marbles) 1959 g - 1661 g = 298 g Step 3: (Doubled mass of marbles) 298 g + 298 g = 596 g Step 4: (Mass of bowl) 1959 g - 596 g = 1363 g The mass of the bowl is 1363 g. |
| 9) The mass of a glass bowl and the marbles it contains is 1294 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: 625 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 963 g = 1963 g Step 2: (Mass of marbles) 1963 g - 1294 g = 669 g Step 3: (Doubled mass of marbles) 669 g + 669 g = 1338 g Step 4: (Mass of bowl) 1963 g - 1338 g = 625 g The mass of the bowl is 625 g. |
| 10) The mass of a glass bowl and the marbles it contains is 1011 g. If the number of marbles is doubled, the total mass of the bowl and the marbles is 1 kg 946 g. Assuming that each marble has the same mass, what is the mass of the empty bowl Answer: 76 g SOLUTION 1 : Step 1: (Convert kg to g ) 1 kg 946 g = 1946 g Step 2: (Mass of marbles) 1946 g - 1011 g = 935 g Step 3: (Doubled mass of marbles) 935 g + 935 g = 1870 g Step 4: (Mass of bowl) 1946 g - 1870 g = 76 g The mass of the bowl is 76 g. |