Free QCE Year 11 Essential Maths Flashcard Review
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What does BODMAS stand for?
Brackets, Orders, Division and Multiplication (left to right), Addition and Subtraction (left to right).
Evaluate 24 ÷ 4 × 3.
18. Division and multiplication share a level, so work left to right: 6 × 3.
Evaluate 10 − 3 + 2.
9. Work left to right: 7 + 2.
What is leading-digit approximation?
Rounding each number to its first digit followed by zeros, such as 4.2 → 4 and 618 → 600.
Estimate 48 × 31 using leading digits.
50 × 30 = 1500.
How can you tell an answer is unreasonable?
It is far from your estimate, has the wrong size or number of digits, or does not make sense in the context.
Name three ways to check a calculation.
Estimate, reverse with the inverse operation, or repeat it a different way.
Name the first four decimal places after the point.
Tenths, hundredths, thousandths, ten-thousandths.
In 0.4072, what is the place value of the 7?
Thousandths (7 × 0.001).
Round 3.4651 to two decimal places.
3.47, because the decider digit is 5.
Round 7.4962 to two decimal places.
7.50. The 6 rounds the 9 up, carrying into the tenths.
When should you round up even if the decimal is below .5?
When you need enough whole items, such as 5.2 buses becoming 6 buses.
What does a ratio of 3 : 5 mean as fractions of the whole?
3/8 and 5/8, because there are 3 + 5 = 8 parts.
How do you simplify a ratio?
Convert to the same unit, then divide all terms by their highest common factor.
How do you share an amount in a ratio?
Add the terms for total parts, divide the amount by the total parts, then multiply by each term.
What does a map scale of 1 : 20 000 mean?
1 unit on the map represents 20 000 of the same unit in real life.
What is a unit rate?
A rate per one unit of the second quantity, for example $/kg.
How do you convert km/h to m/s?
Divide by 3.6 (multiply by 1000 and divide by 3600).
How do you find 15% of an amount?
Multiply the amount by 0.15.
How do you find one amount as a percentage of another with different units?
Convert to the same unit, divide, then multiply by 100.