Free SACE Year 11 Essential Mathematics Flashcard Review
Review 20 public cards with spaced repetition. Flip a card, then grade your recall. Cards you miss return today. Your schedule stays in this browser.
Loading your review schedule…
Browse the free cards
State the order of operations.
Brackets; indices and roots; multiplication and division from left to right; addition and subtraction from left to right.
Estimate 612 × 38 using leading-digit approximation.
600 × 40 = 24 000 (exact value 23 256).
Use the distributive law to calculate 7 × 99 mentally.
7 × 100 − 7 × 1 = 700 − 7 = 693.
Write 0.000 36 in scientific notation.
3.6 × 10⁻⁴
Round 7.846 to the nearest tenth and to the nearest hundredth.
7.8 (tenths) and 7.85 (hundredths).
Convert 4.4 hours to hours and minutes.
0.4 × 60 = 24 min, so 4 h 24 min.
Write 9:05 pm in 24-hour time.
2105
How do you convert a speed in km/h to m/s?
Divide by 3.6, because 1 km/h = 1000 m ÷ 3600 s. E.g. 90 km/h = 25 m/s.
Convert 40 mL/min to L/h.
40 × 60 = 2400 mL/h = 2.4 L/h.
Simplify 1.2 m : 80 cm.
120 cm : 80 cm = 3 : 2.
Share 84 kg in the ratio 3 : 4.
7 parts, one part = 12 kg, shares 36 kg and 48 kg.
A map has scale 1 : 50 000. What actual distance does 3 cm represent?
3 × 50 000 = 150 000 cm = 1.5 km.
How does a casual employee differ from a part-time employee?
A casual has no guaranteed hours and no paid leave and receives a casual loading; a part-time employee has regular hours and pro-rata paid leave.
What is piecework?
Pay of a set amount for each item completed, e.g. $1.80 per garment.
Convert an annual salary of $62 400 to weekly and fortnightly pay.
Weekly 62 400 ÷ 52 = $1 200; fortnightly 62 400 ÷ 26 = $2 400.
Hourly rate $30. What is the time-and-a-half rate and the double-time rate?
$45 per hour and $60 per hour.
Calculate the Medicare levy on a taxable income of $58 000 at 2%.
0.02 × 58 000 = $1 160.
What is the difference between gross and net income?
Gross is pay before deductions; net is take-home pay after tax, the Medicare levy and other deductions.
Write 5% as a fraction in simplest form and as a decimal.
1/20 and 0.05.
A price includes GST and is $77. How much GST is included?
77 ÷ 11 = $7.