Number
Measurement
Algebra
Equations
Mathematical History
100

What is 40% of 200?

80

100

How many years are there in a century?

100 years

100

How many terms are there in the equation: 

5ab + 2c - 10 = 16c + 2ab

5 terms

100

Solve for a in the following: 7a + 3 = 24

a = 3
100

What is Pi to 7 decimal places?

3.1415926

200

Simplify the ratio 125mm : 50cm

12.5cm : 50cm which simplifies further to 1cm : 4cm (as both sides are divisible by 12.5)

200

Convert 50 years into hours

50 x 365 x 24 = 438,000 hrs in 50 years

200

Simplify the following: 4xy + 2z + 14xyz - 10z - 6xy

-2xy - 8z + 14xyz

200

Solve for the following equation: 3(x+5)=12

x = -1

200

What does AM and PM stand for? 

Ante meridiem and post meridiem (i.e. before midday and after midday)

300

If $50000 is shared in the ratio of 3:5:7, how much would each person receive (from smallest to largest portion)?

$10000 (Smallest), $16666.67 (Middle), $23333.33 (Highest) 

300

What is the time difference (in hours and minutes) between 0050 and 1945 on the same day? 

18 hours and 55 minutes

300
Simplify the following: 25ax 4ab2 x bc

100a6b3c

300

Solve for x in the following: 10x - 3 = 7x + 1

x= 4/3

300

What are the first 10 terms of the Fibonacci Sequence? 

1, 1, 2, 3, 5, 8, 13, 21, 34, 55

400

A sum of $50000 is deposited into an investment account collecting simple interest at a rate of 9% p.a. for 5 years. Calculate the total amount of money in the account at the end of 5 years. 

TOTAL AMOUNT IN THE ACCOUNT = $72500

400

What is the definition of a polygon?

A polygon is a CLOSED, 2D shape formed by STRAIGHT line edges. 

400

Give the fully simplified factorisation of 84x3y- 35xy

7xy(12x2y - 5)

400

Solve for x in the following: x- 36 = 0

x = 6 OR x = -6

400

Degrees are not very accurate measurements for angles. In a full rotation/circle, there are 360 degrees. Historically, why did philosophers use the number '360' to represent a full rotation? 

Philosophers noticed that the Earth took about 365 days to orbit the Sun. However, 360 was used because it has A LOT of factors (meaning circular objects could be divided evenly amongst different numbers of people). 

500

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change at the same time at 7 a.m., at what time will they change simultaneously again?


LCM of 48, 72 and 108 = 432 seconds (in 432 seconds time, the three lights will change at the same time again). 

From 7am, they will change again in 7 mins and 12 seconds, so approximately at 7:07am

500

What is the name of a 15 sided polygon?

Pentadecagon or Pentakaidecagon

500

Factorise the following x(x - 5) + 11(x - 5) 

(x - 5)(x + 11)

500

Solve for x in the following: (x + 5)(x - 3) = 0

x = -5 OR x = 3

500

There are two mathematicians who are known as the 'Fathers of Calculus'. One of them is Isaac Newton. What is the surname of the second mathematician?

Leibniz

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