Financial
Calculate the compound interest on a principal of $1,000 for 2 years at an annual interest rate of 5%, compounded annually.
$102.50
In a right triangle, the length of the hypotenuse is 10m, and one of the angles is 45 degrees. Find the length of one of the legs to 2dp.
7.07m
A car travels 175 kilometers in 7 hours. What is the average speed in kilometers per hour (km/h)?
25kmh
What is the smallest country in the world by land area?
Vatican city
the interest rate on a $5000 investment is 8% p.a compounded quarterly, what is the total value after 6 years.
=$8042.19
In triangle ABC, angle A=30 degrees, angle B=45 degrees, and side a=12m. Find the length of side b using the sine rule to the nearest meter
34m
A company works from 9:00 AM to 6:00 PM, with a 1-hour lunch break. How many hours of work are completed in a week if the company operates 5 days a week?
40 hours
What year did the Titanic sink?
1912
A loan of $12000 must be repaid after 3 years, what are the monthly repayments assuming there is no interest and each repayment is the same
In triangle ABC, the sides have lengths a=8, b=6 and c=10 units. Find the angle C using the cosine rule.
C= 90 degrees
If 5 workers can complete a task in 8 hours, how many hours will it take for 10 workers to complete the same task, assuming they work at the same rate?
4 hours
What is the hardest natural substance on Earth?
diamond
A company buys a piece of equipment for $10,000. The equipment has a useful life of 5 years and an annual depreciation rate of 20% using the declining balance method. Calculate the value of the equipment at the end of 3 years.
$5,120
A plane travels on a bearing of 040° for 50km, then turns and travels on a bearing of 090° for 30 km. What is the plane’s final bearing from the starting point to the nearest km
33km
A mixture is made by combining 2.5 liters of water and 500ml. What is the ratio of water to juice in the mixture?
5:1
In which country did the Olympic Games originate?
Greece
Andrew borrowed $20,000 to be repaid in equal monthly repayments of $243 over 10 years. Having made his monthly repayments for 4 years, he increased his monthly repayment to $281, as a result Andrew payed off the loan one year earlier
how much less did he repay altogether by making this change?
A ship sails on a bearing of 120° for 100 km and then changes course to 240° for another 100 km. Calculate the ship’s displacement from its starting point in both the north and west directions.
0km north
100km west
If a car travels at a speed of 60 kilometers per hour, how far will it travel in 2 hours and 15 minutes?
What is the name of the longest mountain range in the world?
the andes