Numbers
This is a timed question. Time to complete this question is 40 seconds.
If 15% of a number is 90, find 25% of that number.
150
This is a timed question. Duration for the question is 30 seconds.
A triangle has two exterior angles of 140° and 145°. Find the values of all 3 interior angles.
45° , 35° , 105°
Hamza, Ayaan, Zain and Faizan went on a trip that cost $1650. All four friends split the bill in the ratio 2:6:7:5, respectively. How much did each of them pay? Give your answer to the nearest dollar.
Hamza spent $165
Ayaan spent $495
Zain spent $577.5
Faizan spent $412.5
Name the type of numbers that define the number of times the base is multiplied by itself
Exponents or Powers
This is a timed question. Time to complete this question is 45 seconds.
Remove the brackets and simplify the following expression:
(x+2)(x-3)(x-4)
x3-5x2-2x+24
The 15th term of an arithmetic sequence is 75 and the 25th term is 125. What is the 5th term of this arithmetic sequence?
25
If a polygon has 12 sides, what is it called?
A Dodecagon
50 students were asked about their preferred movie categories: action or comedy. 26 like comedy, 15 like both 8 like neither action nor comedy. Find the number of students who like action but not comedy.
16
Name this subset of real numbers which either repeat or terminate after a finite number of decimal places like pi or √2
Rational Numbers
The sum of the areas of two squares is 818cm2 and the sum of the perimeter of the two squares is 160cm. Find the lengths of the sides of the two squares.
Square 1: 17cm
Square 2: 23cm
This is a timed question. Time to complete this question is 45 seconds.
Calculate the number of sides of a regular polygon whose interior angles are 156° each.
15
Mr. Haider left his fortune to his 3 sons, 4 daughters, and wife. Each son received twice as much as each daughter and his wife received $6000 which was a quarter of the total money. How much money did each son receive?
$3600
Name this recursive sequence of numbers that begins with the following values:
"1,1,2,3,5..."
The Fibonacci Sequence
The sides of right-angles triangle have lengths (x-3) cm, (x+11) cm and 2x cm. 2x is the hypotenuse of the triangle. Find x.
13 cm
Given that Triangle XYZ is similar to Triangle ABC and the ratio of Line XY to Line AB is 3:5, find the length of line XY when Line AB is 15cm long.
9cm
This is a timed question. Time to complete this question is 90 seconds.
A car manufacturer states that a particular car uses 5 litres of fuel in travelling 100km and produces 110g of Carbon Dioxide for each km travelled. Calculate the mass of Carbon Dioxide produced for each litre. Give your answer in kg.
2.2 kg
Name the famous mathematician who discovered the idea of cartesian geometry and also formed the link between geometry and algebra which later led to the discovery of calculus by Newton.
Rene Descartes
Solve the following pair of simultaneous equations to find both values of x and y:
3y-2x+5=0
y=7-2x-3(x2)
x = -2.2 or x = -3.13
y = 1.31 or y = -0.79
Triangles ABC and DEF are similar. Side AB of Triangle ABC corresponds to Side DE of Triangle DEF. If the length of Side AB is 10cm and the length of side DE is 4cm, express the area of Triangle DEF as a percentage of Triangle ABC.
16%
The numerator of a fraction is 1 less than the denominator. When both, numerator and denominator, are increased by 2, the fraction is increased by 1/12. Find the original fraction.
3/4
Only 3 shapes can create the regular type of these structures: squares, triangles and hexagons. Name these structures which cover the surface of a plane with a pattern of repeated smaller shapes.
Tessellations
Given that x+1 is a factor of 3x3-14x2-7x+d, find the value of d.
10