Which is the smallest six-digit number that can be formed using the digits 6, 2, 0, 4, 1, 7? A mountain is 4289 m high. Which digit has the highest value in the height of the mountain? Margaret collec

Here are the solutions to the problems: 1. Which is the smallest six-digit number that can be formed using the digits 6, 2, 0, 4, 1, 7? Step 1: Arrange the given digits in ascending order: 0, 1, 2, 4, 6, 7. Step 2: To form the smallest six-digit number, the first digit cannot be zero. Place the smallest non-zero digit (1) first, followed by zero, then the remaining digits in ascending order. The number is 102467. The correct option is C. C. 102467 2. A mountain is 4289 m high. Which digit has the highest value in the height of the mountain? Step 1: Identify the place value of each digit in 4289. • The digit 4 is in the thousands place, so its value is 4 × 1000 = 4000. • The digit 2 is in the hundreds place, so its value is 2 × 100 = 200. • The digit 8 is in the tens place, so its value is 8 × 10 = 80. • The digit 9 is in the ones place, so its value is 9 × 1 = 9. Step 2: Compare the values. The highest value is 4000, which corresponds to the digit 4. The correct option is A. A. 4 3. Margaret collected 74289 eggs from her farm. By how many times is the value of digit 4 more than the value of digit 8 in the number of eggs collected? Step 1: Determine the value of digit 4 in 74289. The digit 4 is in the thousands place, so its value is 4 × 1000 = 4000. Step 2: Determine the value of digit 8 in 74289. The digit 8 is in the tens place, so its value is 8 × 10 = 80. Step 3: Find the difference between the values. Difference = 4000 - 80 = 3920. The correct option is D. D. 3920 4. A 14 seater bus was used to transport 132 people to a rally. How many trips did the bus make to transport all the people? Step 1: Divide the total number of people by the bus capacity. (132)/(14) = 9 with a remainder of 6 Step 2: The bus makes 9 full trips, transporting 9 × 14 = 126 people. There are 132 - 126 = 6 people remaining. Step 3: To transport the remaining 6 people, one more trip is needed. Total trips = 9 + 1 = 10 trips. The correct option is C. C. 10 5. Zuri bought 3(5)/(6) kg rice and 1(3)/(4) kg of beans. How many kilograms did she buy altogether? Step 1: Convert the mixed fractions to improper fractions. 3(5)/(6) = ((3 × 6) + 5)/(6) = (18 + 5)/(6) = (23)/(6) 1(3)/(4) = ((1 × 4) + 3)/(4) = (4 + 3)/(4) = (7)/(4) Step 2: Find a common denominator for 6 and 4, which is 12. Convert the fractions. (23)/(6) = (23 × 2)/(6 × 2) = (46)/(12) (7)/(4) = (7 × 3)/(4 × 3) = (21)/(12) Step 3: Add the fractions. (46)/(12) + (21)/(12) = (46 + 21)/(12) = (67)/(12) Step 4: Convert the improper fraction back to a mixed number. (67)/(12) = 5 with a remainder of 7 = 5(7)/(12) kg The correct option is A. A. 5(7)/(12) kg 6. Grade 6 learners were asked by their Mathematics teacher to work out the reciprocal of (1(1)/(2))^2. What answer did they get? Step 1: Convert the mixed number to an improper fraction. 1(1)/(2) = ((1 × 2) + 1)/(2) = (3)/(2) Step 2: Square the fraction. ((3)/(2))^2 = (3^2)/(2^2) = (9)/(4) Step 3: Find the reciprocal of (9)/(4). The reciprocal of a fraction (a)/(b) is (b)/(a). The reciprocal of (9)/(4) is (4)/(9). The correct option is D. D. (4)/(9) **7. Andrew walked a distance of 3 km 80