Ratios
During a recent dry spell, it rained on 3 days during the month of September. Write the ratio of wet days to total days for the month of September in simplest form.
1:10
If James types 120 words per 3 minutes, what is his rate of typing?
40 words/minute
Calculate the elapsed time between 0620 hours Tuesday and 1340 hours Friday.
79 Hours and 20 Minutes
The ___________ method involves finding a quantity by finding one part first.
Unitary
Evergreen Fertiliser is made up of the three vital nutrients nitrogen, potassium and phosphorus
in a ratio of 4:5:3. How much of each nutrient is in a 1.5 kg bag?
0.5kg of nitrogen, 0.625kg of potassium and 0.375 kg of phosphorus.
Write 3m/s in km/h
10.8km/h
What is the local time in Perth, when it is 6pm in Melbourne?
4pm in Perth.
When reading a scale map, the length on the diagram is called the ___________ _______, and the length in real life is called the real length.
Write the missing expression
12xy:6y = _____ : 1
2x
7 hours.
Alex watched a movie from 9:45pm until 12:08am. Commercials accounted for 37 minutes of this time. What was the duration of the movie?
1 Hour and 46 Minutes.
Ms Conlon taught a silly way of remembering the speed formula. What was it called?
A triangle has side lengths in a ratio of x:(x+3):(x-2). If the shortest side is 17cm, find the lengths of the other two sides and the perimeter of the triangle.
19cm, 22cm with a perimeter of 58cm.
If it takes 4 workers, 4 hours to dig 4 holes individually, how long would it take 2 workers to dig 6 holes?
12 hrs
The back end of a 160-metre-long train disappears into a 700-metre-long tunnel. Twenty seconds later, the front of the train emerges from the tunnel. Determine the speed of the train in m/s.
27m/s
In a travel graph, the slope of the line represents the _______________.
Speed
A bag contains chocolates. In this bag there are 20 caramel pieces, 35 strawberry pieces, 30 mint pieces and many pieces of other flavours. In this bag, the ratio of the total number of strawberry, caramel and mint pieces in the bag is 17:29. What is the total number of pieces of chocolate that are in the bag?
230 pieces.
In a faraway galaxy, a thriving alien colony uses the following units:
For money they have puks and paks: 1 puk (pu) = 1000 pak (pa)
For length they have doits and minidoits: 1 doit (D) = 80 minidoits (mD) Polynaute rope is priced at 4 pu/D.
Find the cost of the rope in terms of pa/mD.
50pa/mD
Julie and Jeanette enjoy finishing their 6 km morning run together. Julie runs at an average speed of 10 km/h and Jeanette runs at an average speed of 3 m/s. If Julie leaves at 8 a.m., at what time should Jeanette leave if they are to finish their run at the same time?
8:02:40am
Time zones are measured in relation to the ______________ Meridian
Greenwich