Finance
Liam works 16 hours as a casual retail assistant on a base rate of $22.50 per hour. Calculate his total earnings for the week.
What is $360?
(Working: 16 x 22.50 = 360)
A right-angled triangle has side lengths measuring 6 cm and 8 cm. Find the length of the hypotenuse, c.
What is 10 cm?
(Working: c2 = 62 + 82 = 36 + 64 = 100. c = √100 = 10 cm)
Evaluate:
a) 4.075 x 100
b) 620 ÷ 1,000
What is a) 407.5 b) 0.62 ?
Calculate 15% of $240.
What is $36?
(Working: 0.15 x 240 = 36)
What is the name of Simba's evil uncle in Disney's The Lion King?
Scar
Maya receives a regular weekly wage of $1,200. When taking 4 weeks of annual leave, she receives a standard holiday loading of 17.5% on her 4 weeks of normal pay. Calculate the total holiday loading payment she receives.
What is $840?
(Working: 4 weeks pay = 4 x 1,200 = $4,800. Loading = 0.175 x 4,800 = $840)
A right-angled triangle has a hypotenuse of 13 m and a short side of 12 m. Find the length of the side, a.
What is 5 m?
(Working: a2 = 132 - 122 = 169 - 144 = 25. a = √25 = 5 m)
Round the number 18.4752 to:
a) 1 decimal place
b) 2 decimal places
What is a) 18.5 b) 18.48 ?
Find 3/8 of 96 kg.
What is 36 kg?
(Working: 96 ÷ 8 = 12; 12 x 3 = 36 kg)
What gets wetter the more it dries?
What is a towel?
A real estate agent earns a retainer of $450 per week plus a 1.5% commission on property sales. In one week, she sells an apartment for $620,000. Calculate her total income for that week.
What is $9,750?
(Working: Commission = 0.015 x 620,000 = $9,300. Total = 450 + 9,300 = $9,750)
In a right-angled triangle, an angle is 34° and the hypotenuse is 14.5 cm. Calculate the length of the opposite side, correct to 1 decimal place.
What is 8.1 cm?
(Working: sin(34°) = opposite / 14.5. Opposite = 14.5 x sin(34°) = 8.108... = 8.1 cm)
Convert:
a) 3.45 m to centimetres
b) 8,200 m to kilometres
What is a) 345 cm b) 8.2 km?
Simplifying by collecting like terms: 3a +7b +7 -2b -4a
What is 5b +7 -a ?
What is the official currency of Japan?
What is Yen?
Oscar has a gross annual salary of $78,500. Over the financial year, he claims $1,420 in work-related travel expenses, $380 for union fees, and $200 in donations to registered charities. Calculate his taxable income.
What is $76,500?
(Working: Total deductions = 1,420 + 380 + 200 = $2,000. Taxable income = 78,500 - 2,000 = $76,500)
In a right-angled triangle, an angle is 52° and the side adjacent to it is 9.2 m. Calculate the length of the hypotenuse, correct to 1 decimal place.
What is 15.0 m?
(Working: cos(52°) = 9.2 / hypotenuse. Hypotenuse = 9.2 / cos(52°) = 14.943... = 15.0 m)
Round 48° 39' 41" to the nearest minute.
What is 48°40' ?
Solve for x: 4x - 4 = 28
What is x=8 ?
What metallic element has the chemical symbol Fe on the periodic table?
What is Iron? (derived from the Latin 'Ferrum')
Priya invests $6,500 into a fixed-term deposit earning simple interest at a rate of 4.2% per annum for 3 years. Calculate the interest earnt at the end of the term.
What is $819?
Interest = 6,500 x 0.042 x 3 = $819.
In a right-angled triangle, the side opposite angle θ is 7 cm and the adjacent side is 11 cm. Find the size of angle θ, correct to the nearest degree.
What is 32°?
(Working: tan(θ) = 7 / 11. θ = tan⁻¹(7 / 11) = 32.47...° = 32°)
Evaluate: -6 + 4 x (8 - 3)2 ÷ 10
What is 4?
Find the area of a circle with a radius of 4 cm to 1 decimal place.
What is 50.3 cm2 ?
Which aviation pioneer became the first woman to fly solo across the Atlantic Ocean in 1932?
Amelia Earhart