IGCSE Math B May'21 Batch Online Quiz On Arithmetic

2.

The distance between two features on a photo is 11.5 cm and the corresponding distance is 5 km on the ground. What is the approximate scale of the photo? Answer Format= ( Photo length: Real length)

32 : 100000000
27 : 10000
23 : 1000000
1000000 : 24

Correct Answer

A. 23 : 1000000

Explanation

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.

Rate this question:

3.

N taka is shared between three person in the ratio 2:3:7. The largest share is 540 taka more than the smallest share. Calculate the value of N.

1692
3217
2000
1296

Correct Answer

A. 1296

Explanation

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.

Rate this question:

4.

Cost Price Selling Price Profit (%) Loss (% ) $2400 25.5 % $1900 36 % $2950 10% $2980 $2590 % $4100 25% $650 $800 % $41650 28% $71580 $68340 % $690 75% $890500 $1996000 % Fill the answers. You must give the answers in 1 decimal place.

Correct Answer
3012
1216
2682
13.1
5125
23.1
57847.2
4.5
394.3
124.1

5.

Two brothers, Abraham and Ibrahim , set off for their school one day. Abraham left home at 07:17 and walked to school, arriving at 08:32. Ibrahim left home at 08:21 and cycled to school arriving at 08:46. Calculate the ratio of Abraham’s journey time : Ibrahim’s journey time, giving your answer in the form n:1.

2 : 5
1 : 3
5 : 2
3 : 1

Correct Answer

A. 3 : 1

Explanation

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.

Rate this question:

6.

Given that x : y = 6 : 5 and y : z = 4 : 5, find the ratio x:y:z in integer form.

7 : 6 : 9
24 : 20 : 25
6 : 5 : 4
25 : 20 : 24

Correct Answer

A. 24 : 20 : 25

Explanation

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.

Rate this question:

7.

In a country, the number of people who are more than 60 years old is 23% of the population. Of these people who are more than 60 years old, 42% are men. The population of the country is 50 million. Calculate, to the nearest million, the number of women in this country who are more than 60 years old.

7 million
5 million
8 million
6 million

Correct Answer

A. 7 million

Explanation

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.

Rate this question:

8.

A new car is tested by timing how long it took to travel a distance of 1.7 km. On the first test drive the car’s average speed was 113.2 km/h. On second test drive the car took exactly 53s to cover the distance. Find the difference in 1 decimal place, in km/h, between the average speeds of the two test drives.

80 km/h
Option 2
2.3 km/h
114.9 km/h

Correct Answer

A. 2.3 km/h

Explanation

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.

Rate this question:

9.

Sonia works in a shop. She is paid $7.60 per hour she works. She is also paid 4% of the value of the items she sells in a week.

In one week she works for 36 hours and the value of the item she sells is $4250. Sonia’s total pay for that week is .

In another week Sonia worked for 41 hours and the total pay for that week was $430.80. The value of the items Sonia sells this week was . (DO NOT USE $ SIGN)

Correct Answer
443.6
2980

Explanation
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.

Rate this question:

10.

Emi invested an amount of money for 3 years in a savings account. At the end of each year interest was added to her account. At the end of the first year 5.1% interest was added to the account. At the end of the second year the interest added was 4.5% of the amount in the account. At the end of the final year the interest added was 4.5% of the amount in the account. At the end of the 3 year the amount in account was $2123.28 Calculate the amount of money that Sonia invested. Give your answer to the nearest $.

$1851
$1800
$1900
$2000

Correct Answer

A. $1851

Explanation

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.

Rate this question:

IGCSE Math B May'21 Batch Online Quiz On Arithmetic

On a journey of 960 kilometers, David’s car used 91 liters of petrol. Given that 4.55 liters = 1 gallon, Calculate the number of kilometer per gallon that David’s car used on the journey.

Quiz Preview

The distance between two features on a photo is 11.5 cm and the corresponding distance is 5 km on the ground. What is the approximate scale of the photo? Answer Format= ( Photo length: Real length)

N taka is shared between three person in the ratio 2:3:7. The largest share is 540 taka more than the smallest share. Calculate the value of N.

Cost Price Selling Price Profit (%) Loss (% ) $2400 25.5 % $1900 36 % $2950 10% $2980 $2590 % $4100 25% $650 $800 % $41650 28% $71580 $68340 % $690 75% $890500 $1996000 % Fill the answers. You must give the answers in 1 decimal place.

Given that x : y = 6 : 5 and y : z = 4 : 5, find the ratio x:y:z in integer form.

In a country, the number of people who are more than 60 years old is 23% of the population. Of these people who are more than 60 years old, 42% are men. The population of the country is 50 million. Calculate, to the nearest million, the number of women in this country who are more than 60 years old.