Ratios
Simplify the following ratio
25 : 60
5 : 12
A concert hall has 1540 seats.
Calculate the number of people in the hall when 55% of the seats are occupied.
847
Work out the following.
1/0.22
25
Find the value of n in the following equation.
2n = 1024
10
At 0506 Mr Ho bought 850 fish at a fish market for $2.62 each.
95 minutes later he sold them all to a supermarket for $2.86 each.
What was the time when he sold the fish?
06 41
Martha divides $240 between spending and saving in the ratio
spending : saving = 7 : 8 .
Calculate the amount Martha has for spending.
112
Maria pays $84 rent.
The rent is increased by 5%.
Calculate Maria’s new rent.
88.2(0)
Work out the highest common factor (HCF) of 36 and 90.
18
Write 28 × 82 × 4-2 in the form 2n
210
A hummingbird beats its wings 24 times per second.
Calculate the number of times the hummingbird beats its wings in one hour.
86400
Ahmed, Batuk and Chand share $1000 in the ratio
8 : 7 : 5.
Calculate the amount each receives.
A: 400
B: 350
C: 250
Anita buys a computer for $391 in a sale.
The sale price is 15% less than the original price.
Calculate the original price of the computer.
460
Write 2016 as the product of prime factors.
25x32x7
Simplify
(q2+q2)/(q0.25 × q0.25)
2q1.5
Anna walks 31 km at a speed of 5 km/h.
Both values are correct to the nearest whole number.
Work out the upper bound of the time (in hours) for Anna’s walk.
7
The download times for the music, films and books are in the ratio
music : films : books = 2 : 9 : 1.
The total download time is 3 hours and 33 minutes.
Calculate the download time for the films.
Give your answer in hours, minutes and seconds.
2 hours 39 mins 45 secs
Alex invests $4000 at a rate of 8% per year simple interest for 2 years.
Bob invests $4000 at a rate of 7.5% per year compound interest for 2 years.
Who receives more interest and by how much?
Alex by 17.5(0)
A tennis court is a rectangle with length 23.7m and width 10.9m, each correct to 1 decimal place.
Calculate the upper and lower bounds of the perimeter of the court.
69.4 and 69[.0]
Light travels at approximately 300,000 kilometres per second.
One light year is the distance light travels in one year (365 days).
How far is one light year in kilometres?
Give your answer in standard form.
9.46 × 1012
Chuck cycles along Skyline Drive.
He cycles 60 km at an average speed of x km/h.
He then cycles a further 45 km at an average speed of (x + 4) km/h.
His total journey time is 6 hours.
Find the value of x.
16