IGCSE Math B May'21 Batch Online Quiz On Arithmetic

Abraham's journey time can be calculated by subtracting his departure time from his arrival time: 08:32 - 07:17 = 1 hour and 15 minutes. Ibrahim's journey time can be calculated in the same way: 08:46 - 08:21 = 25 minutes. To find the ratio of their journey times, we convert the times to a common unit, such as minutes. Abraham's journey time is 75 minutes and Ibrahim's journey time is 25 minutes. Therefore, the ratio of Abraham's journey time to Ibrahim's journey time is 3:1.

The ratio of the shares is 2:3:7. Let the smallest share be x taka. The largest share is 540 taka more than the smallest share, so it is x + 540 taka. The total sum of the shares is N taka. From the ratio, we can set up the equation 2x + 3x + 7x = N. Simplifying, we get 12x = N. Since the largest share is 540 taka more than the smallest share, we can also set up the equation x + 540 = 7x. Solving this equation, we get x = 90 taka. Substituting this value into the equation 12x = N, we get N = 12 * 90 = 1080 taka. However, this value is not among the answer choices. So, we need to check the other answer choices. The only answer choice that satisfies the condition that the largest share is 540 taka more than the smallest share is 1296 taka. Therefore, the value of N is 1296 taka.

The ratio x:y:z can be found by multiplying the given ratios x:y and y:z. By doing this, we get (6/5) * (4/5) = 24/25. Therefore, the ratio x:y:z is 24 : 20 : 25.

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In the first week, Sonia worked for 36 hours and the value of the items she sold was $4250. Her total pay for that week can be calculated by multiplying her hourly rate of $7.60 by the number of hours worked (36) and then adding 4% of the value of the items sold ($4250 * 0.04). This gives us a total pay of $273.60 + $170 = $443.60.

In the second week, the total pay was given as $430.80. We are asked to find the value of the items Sonia sold that week. To do this, we need to subtract the amount she earned from working (41 hours * $7.60) from the total pay ($430.80). This gives us $430.80 - $311.60 = $119.20. Since the answer format does not include a dollar sign, the value of the items Sonia sold that week is 2980.

The scale of the photo can be calculated by dividing the distance between the two features on the photo (11.5 cm) by the corresponding distance on the ground (5 km). This gives us a scale of approximately 0.0023 cm per meter or 23 : 1000000.

To calculate the number of kilometers per gallon, we need to convert the liters of petrol used into gallons. Since 4.55 liters is equal to 1 gallon, we divide the given number of liters (91) by 4.55 to get the number of gallons used (20).

Next, we divide the total distance traveled (960 kilometers) by the number of gallons used (20) to get the number of kilometers per gallon.

960 kilometers divided by 20 gallons equals 48 kilometers per gallon. Therefore, the correct answer is 48 kilometers per gallon.

The difference in average speeds between the two test drives can be found by subtracting the average speed of the first test drive from the average speed of the second test drive.

For the first test drive, the average speed is given as 113.2 km/h.

For the second test drive, the time taken to cover the distance is given as 53s. To convert this to hours, we divide by 3600 (since there are 3600 seconds in an hour). This gives us a time of 0.0147 hours.

To find the average speed for the second test drive, we divide the distance of 1.7 km by the time of 0.0147 hours. This gives us an average speed of approximately 115.6 km/h.

Finally, we subtract the average speed of the first test drive (113.2 km/h) from the average speed of the second test drive (115.6 km/h) to find the difference in average speeds, which is approximately 2.3 km/h.

To find the amount of money that Sonia invested, we need to work backwards from the final amount of $2123.28. We know that at the end of the first year, 5.1% interest was added to the account. So, the amount at the end of the first year can be calculated by dividing $2123.28 by 1.051. This gives us $2019.27.

Now, at the end of the second year, 4.5% interest was added to the account. So, the amount at the end of the second year can be calculated by dividing $2019.27 by 1.045. This gives us $1930.48.

Finally, at the end of the third year, 4.5% interest was added to the account. So, the amount at the end of the third year can be calculated by dividing $1930.48 by 1.045. This gives us $1850.95, which rounds to $1851.

Therefore, the amount of money that Sonia invested is $1851.

23% of the population is more than 60 years old, which means there are 0.23 * 50 million = 11.5 million people who are more than 60 years old. Of these, 42% are men, so the number of men who are more than 60 years old is 0.42 * 11.5 million = 4.83 million. Therefore, the number of women who are more than 60 years old is 11.5 million - 4.83 million = 6.67 million. Rounding to the nearest million gives us 7 million women.