Algebra & Indices
Simplify 2a2 + 6a3 - 3a3 - a2
a2 + 3a3
Find the area of a triangle with a base of 8.1 m and a height of 5.5 m.
A = ½ x base x height
= ½ x 8.1 x 5.5
= 22.275 m2
In Financial Maths, what is 'interest'?
the cost of borrowing money
Name three measures of centre in Statistics.
mean, mode, median
Which artist was #1 on my Spotify Wrapped?
Taylor Swift
Simplify 12b12 x 3b3 ÷ 9b2
4b13
Find the circumference of a circle with a radius of 3 m, correct to one decimal place.
C = pi x diameter
= pi x 6
= 18.8 m
Find the amount of simple interest for a loan of $50 000 at 7% per annum for a period of 2 years and 6 months.
I = Prn
= 50 000 x 7% x 2.5
= $8750
Find the mean, median and mode:
2, 5, 8, 8, 9
mean: (2+5+8+8+9) ÷ 5 = 6.4
median: 8
mode: 8
What colour is the tinsel on my Christmas tree?
blue
Simplify 5(5c - 1) - 4(c - 2)
5(5c - 1) - 4(c - 2)
= 25c - 5 - 4c + 8
= 21c + 3
A right-angled triangle has a hypotenuse of 27 mm and a short side of 10 mm. Find the length of the other short side, correct to one decimal place.
a2 + b2 = c2
a2 + 102 = 272
a2 = 629
a = 25.1 mm
Ashlynn invests $5000 at a compound interest rate of 6.5% p.a. Calculate the amount of the investment after 5 years.
A = P (1+r)n
A = 5000 (1+6.5%)5
= $6850.43
Find the mean, median and mode:
12, 20, 9, 4, 16, 11
mean: (12+20+9+4+16+11) ÷ 6 = 12
median: mean of 11 and 12 = 11.5
no mode
What was my part-time job when I was in Year 10/11?
Maccas front counter
Simplify (4a2b3)2
= 16a4 b6
Find the perimeter of a right-angled triangle with a base of 5 cm and a height of 2 cm, correct to one decimal place.
Using Pythagoras, hypotenuse = 5.4 cm
Perimeter = 5.4 + 2 + 5 = 12.4 cm
Calculate the amount that must be invested at 6.2% p.a. compound interest to have $50 000 at the end of 3 years.
A = P (1+r)n
50 000 = P (1+6.2%)3
P = 50 000 ÷ (1+6.2%)3
= $41 744.23
To indicate the 'average' house price in a particular suburb, real estate agents usually use the median rather than the mode or the mean. Why?
The median is the price of the house in the middle of the price range, which is the best indicator.
Other than Maths, what subject can I teach?
Simplify 9m/10 - m/6 + 2m/3
= 27m/30 - 5m/30 + 20m/30
= 42m/30
= 7m/5
A 25 m swimming pool increases in depth from 1.3 m at the shallow end to 2.6 m at the deep end. Calculate the area of one side wall of the pool.
A = ½ h (a + b)
= ½ x 25 x (1.3 + 2.6)
= 48.75 m2
How much more interest is earned on a $4000 investment if the interest at 6% p.a. is compounded annually over 6 years, compared with the simple interest at 6% p.a. earned over the same time?
compound interest = 4000 (1+6%)6 - 4000 = $1674.08
simple interest = 4000 x 6% x 6 = $1440
difference = $1674.08 - 1440 = $234.08
A score was added to the set of scores: 15, 18, 20, 22, 24 and 26, making the new mean 20.
What score was added?
(15+18+20+22+24+26+s) ÷ 7 = 140
15+18+20+22+24+26+s = 140
s = 15
What time of day was I born? Closest answer gets the points.
4:15 a.m.