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(No calculators)
(No calculators)
Evaluate 3/4 + 5/6, giving your answer as a mixed number.
1 7/12
If the diameter of a circular plate is 10 cm, what is the length around the rim of the plate?
31.42 cm
What is the formula for the area of a parallelogram?
A = bh
Simplify the ratio 18 : 27
2 : 3
A 1.5 L bottle of juice sells for $5.50. Calculate the unit price per 100 mL.
$0.37 / 100 mL
Evaluate 5 8/9 - 1 2/3, giving your answer as a mixed number.
4 2/9
Maria is running around a circular track with a radius of 60 m. Calculate the total distance Maria has run after going through half of the total track.
188.50 m
What is the formula for the area of a kite?
A = (1/2) xy
or A = 0.5xy
If Yolanda completes 30 maths problems in 8 minutes, express this as a rate (in problems/min).
3.75 problems/min
A butcher sells chicken mince for $1.70 per 100 g. Calculate the cost of buying 2.2 kg of mince.
$37.40
Evaluate 16/52 x 26/36
2/9
Calculate the perimeter of a circular sector with a radius of 8 cm and an internal angle of 70°.
25.77 cm
The parallel sides of a trapezium have lengths 4 cm and 7 cm, and the perpendicular distance between those sides measures 5 cm. Determine the area of the trapezium.
27.5 cm2
If Alison and Beatrice split 64 lollies in the ratio of 3 : 5 respectively, calculate the number of lollies Alison receives.
Egg-cellent Farms sells 12 eggs for $4.80.
Nom L. Ett sells 8 eggs for $3.15.
Calculate the unit price per egg for each company and therefore determine which offers better value.
Nom L. Ett (39.4c per egg vs 40c per egg)
Evaluate 14/33 ÷ 35/11
2/15
The perimeter of a circle sector is 48 mm. If the radius is 12 mm, determine the internal angle of the sector.
114.59°
The area of the cross-section of a prism is 13 m2. If the height of the prism is 3 m, what is the volume?
39 m3
$261 is split between first, second and third place getters in a competition in the ratio 5 : 3 : 1 respectively. Calculate the amounts that each place getter receives.
$145 for first
$87 for second
$29 for third
Laundry powder A is sold in boxes of 720 g and costs $9.00. The instructions say to add a 40 g scoop of powder per wash.
Laundry powder B is sold in 2.1 kg tubs, costs $16.00 and uses 60 g per wash.
Calculate the unit cost per wash for each powder and thus determine which powder is the better buy.
Powder B (45.7c per wash compared to Powder A at 50c per wash)
Evaluate 3 1/6 + 12/15 x 25/32, giving your answer as a mixed number.
3 23/24
A garden shaped as the quarter of a circle has a perimeter of 17.85 m. Determine the radius of the circle.
5 m
A 30000 L tank is shaped as a square-based prism with a height of 4 m. Determine the length of the base.
2.74 m
Molly and Nicole are testing how fast they can type.
Molly manages to type 350 words in 8 minutes, whereas Nicole types 285 words in 5 minutes.
Calculate each of their typing rates (in words/min), and therefore determine who is the faster typist.
Nicole is the faster typist (57 words/min compared to Molly's 43.75 words/min)
$2.40