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Flashcards covering measurement conversions, geometry formulas, speed calculations, and Pythagoras' Theorem from the Avondale College practice test.
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Convert 48cm to millimetres (mm).
480mm
Convert 2.9m to centimetres (cm).
290cm
Convert 250mL to litres (L).
0.25L
Convert 8.7L to millilitres (mL).
8700mL
Convert 1.9kg to grams (g).
1900g
Convert 130mg to grams (g).
0.13g
Convert 4985kg to tonnes.
4.985tonnes
Convert 1020 seconds (sec) to minutes (min).
17min
Convert 2 days to hours.
48hours
What is the formula for the Area (A) of a Parallelogram?
A=bh
What is the formula for the Area (A) of a Triangle?
A=21bh
What is the formula for the Area (A) of a Trapezium?
A=(2a+b)h
What is the formula for the Area (A) of a Circle?
A=πr2
What is the formula for the Circumference (l) of a Circle?
2πr
What is the general formula for the Volume (V) of a Prism?
V=Bh, where B is the area of the base.
What is the formula for the Volume (V) of a Cylinder?
V=πr2h
What is the formula for the Total Surface Area (A) of a Cylinder?
A=2πr2+2πrh
A plant cell is 0.1mm long and the diagram is 15mm long. What is the scale factor?
150
If a leaf is 6cm long and the scale factor is 4, how long is the enlarged version?
24cm
A boat travels at 20km/h for 3.5 hours. How far has it travelled?
70km
A cyclist covers 20km at an average speed of 16km/h. How much time did the ride take?
1.25hours (or 1hour and 15min)
What is the average speed of a runner who completes a 10km race in 1.25 hours?
8km/h
Convert 920 minutes into hours and minutes.
15hours and 20minutes
Convert the time 1:30:12 into total seconds.
5412seconds
Convert 596 cubic centimetres (cm3) into litres (L).
0.596L
Convert 5.8 litres (L) into cubic centimetres (cm3).
5800cm3
What is the exact volume (V) of a cylinder with radius 3cm and height 2cm?
18πcm3
What is the exact surface area (A) of a cylinder with radius 3cm and height 2cm?
30πcm2
What is the exact volume (V) of a cylinder with radius 0.5m and height 8m?
2πm3
What is the exact surface area (A) of a cylinder with radius 0.5m and height 8m?
8.5πm2
Anna walks for 20 minutes at 9km/h. How far does she walk?
3km
Anna walks 3km and then scooters for 3km. What is the total distance travelled?
6km
If Anna walks for 20 minutes and scooters for 12 minutes, what is the total journey time in hours?
6032hours (or 0.53ˉhours)
Calculate Anna's average speed for a 6km journey completed in 32 minutes.
11.25km/h
Identify another Pythagorean triple based on 3,4,5.
6,8,10 (or any multiple such as 9,12,15)
Identify another Pythagorean triple based on 8,15,17.
16,30,34 (or any multiple)
Identify another Pythagorean triple based on 17,144,145.
34,288,290 (or any multiple)
Identify another Pythagorean triple based on 96,247,265.
192,494,530 (or any multiple)
Amanda drives 50km East and 180km South. What is the direct distance from the start?
186.82km (rounded, calculated as 502+1802)
A 9m ladder is 1.5m from a wall base. How far up the wall does it reach?
8.87m (rounded, calculated as 92−1.52)
Convert 8m/s into km/h.
28.8km/h
Convert 45km/h into m/s.
12.5m/s
Convert 12cm2 into mm2.
1200mm2
Convert 1927cm2 into m2.
0.1927m2
Convert 2mm3 into cm3.
0.002cm3
Convert 8m3 into cm3.
8,000,000cm3
Does a triangle with side lengths 9cm, 40cm, and 41cm have a right angle?
Yes (because 92+402=412)
Does a triangle with side lengths 12m, 12m, and 15m have a right angle?
No (because 122+122=152)
Does a triangle with side lengths 1.2cm, 2.09cm, and 2.41cm have a right angle?
Yes (because 1.22+2.092=2.412)
Does a triangle with side lengths 2.0mm, 2.1mm, and 2.8mm have a right angle?
No (because 2.02+2.12=2.82)