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Number of terms in the expression a2 + bc × d is ______.
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An equation is true for all values of its variables.
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The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
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In 2n, n is known as ______.
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The expression for 8–2 as a power with the base 2 is ______.
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If 36 = 6 × 6 = 62, then `1/36` expressed as a power with the base 6 is ______.
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Express `27/64` and `(-27)/64` as powers of a rational number.
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Express `16/81` and `(-16)/81` as powers of a rational number.
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The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet.)
| Sweet Corn | Cream of Tomato | ||
| Nutrition Facts | Nutrition Facts | ||
| Serving Size 1 cup (240ml) | Serving Size 1 cup (240ml) | ||
| About 2 serving per Container | About 2 serving per Container | ||
| Amount Per Serving | Amount Per Serving | ||
| Calories 90 | Calories from Fat 9 | Calories 100 | Calories from Fat 20 |
| % Daily Value* | % Daily Value* | ||
| Total Fat 2g | 2% | Total Fat 2g | 3% |
| Saturated Fat-0g | 0% | Saturated Fat-1.5g | 6% |
| Cholesterol 0mg | 0% | Cholesterol 10mg | 3% |
| Sodium 540mg | 22% | Sodium 690mg | 29% |
| Total Carbohydrate 17g | 6% | Total Carbohydrate 17g | 6% |
| Dietary Fibre 3 gram | 14% | Dietary Fibre 4 gram | 18% |
| Sugar 5g | Sugar 11g | ||
| Protein 3g | Protein 2g | ||
| Vitamin A 30% | Vitamin C 10% | Vitamin A 20% | Vitamin C 20% |
| Calcium 2% | Iron 6% | Calcium 0% | Iron 8% |
| *Per cent Daily Values are based on a 2,000 calorie diet. |
*Per cent Daily Values are based on a 2,000 calorie diet. |
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Calculate ratio of calories from fat in sweet corn soup to the calories from fat in cream of tomato soup.
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Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
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Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
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Assuming land to be uniformly fertile, the area of land and the yield on it vary ______
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The number of teeth and the age of a person vary ______
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A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is ______.
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By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be ______.
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In which of the following case, do the quantities vary directly with each other?
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Both x and y are in direct proportion, then `1/x` and `1/y` are ______.
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Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be ______.
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100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for ______.
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If two quantities x and y vary directly with each other, then ______
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