Free WACE Year 11 Mathematics Essential Flashcard Review
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How can leading digits check a calculation?
Round to simple nearby values and compare the approximate magnitude with the computed answer.
When should a count be rounded upwards?
When a whole-number capacity must be sufficient, such as vehicles for all passengers.
When should a count be rounded downwards?
When counting complete groups possible from limited supplies.
How do you convert a fraction to a decimal?
Divide its numerator by its denominator.
How do you convert a decimal to a percentage?
Multiply by 100 and add the percent symbol.
How do you find a fraction of an amount?
Multiply the amount by the fraction.
What comes first in order of operations?
Brackets, then powers, then multiplication/division left to right, then addition/subtraction left to right.
How do you express a part as a percentage of a whole?
Part ÷ whole × 100%, with consistent units.
What multiplier increases an amount by 25%?
1.25, retaining 100% and adding 25%.
What multiplier decreases an amount by 15%?
0.85, retaining 85%.
How do you convert km/h to m/s?
Multiply by 1000 and divide by 3600, equivalent to dividing by 3.6.
Why might the lowest unit price not give the cheapest purchase?
Whole-pack requirements can force extra purchases and unwanted leftovers.
What is a formula?
A rule connecting quantities.
What is the subject in C = 25 + 6h?
C, the quantity calculated directly.
What does 6h mean?
6 multiplied by h.
What should you record before substitution?
The meaning, value and unit of each input.
What happens to brackets during substitution?
Keep them in their original positions.
Which operation comes first in 25 + 6 × 3?
Multiplication; the result is 43.
What is the unit of area when lengths are metres?
Square metres, m².
When is a calculator helpful?
When arithmetic involves awkward decimals or many steps.