Number
Find the lowest common multiple of 30 and 36.
180
The flag-down fare of a taxi is $4. Given that a passenger is charged $0.60 for each kilometre the taxi travels, how long is the taxi ride if the passenger has to pay $14.20?
17 km
What is the sum of angles at a point?
360 degrees
(2x-3)(x+5)
A cuboid is 6 ππ long, 4 ππ wide and 3 ππ high. Calculate its surface area.
108 cm2
If π and π are whole numbers such that πΓπ=13, find the value of π+π.
14
Callum has a collection of badges. His aunt gives him 9 more badges. Then, while Callum is on holidays, he collects enough double his collection. He now has 132 badges in total. How many badges did Callum have to start with?
57
Find the sum of the interior angles in a pentagon.
540 degrees
Factorise 6x2-9x+15y-10xy
(2x-3)(3x-5y)
Ali walked at an average speed of 3 km/h for 54 minutes before running for half an hour at a certain average speed. If he travelled a total distance of 6 km, calculate his average running speed.
7.5 km/h
The sum of money is divided among Bernard, Li Ting and Yi Hao in the ratio 9: 8: 7. After Bernard gives $25 each to Li Ting and Yi Hao, the ratio becomes 16: 17: 15. Calculate the amount of money Bernard had at first.
450
In 3 days, 5 men can paint 2 identical houses. Assuming that all the men work at the same rate, how long will it take 6 men to paint 7 such houses?
8.75 days
The diameter of the base of a cylinder is 14 cm and its height is half of its base radius. Use π β 3.14, calculate the volume of the cylinder.
538.51
A box contains π₯ red marbles, (π₯ + 3) yellow marbles and (4π₯ β 15) blue marbles. A marble is drawn at random from the box. If the probability that this marble is blue is 1/2, find the value of π₯.
9
Calculate β324 using prime factorisation.
18
The length of a rectangle is twice that of its breadth. If the length of the rectangle is increased by 10% while its breadth is decreased by 10%, determine the percentage change in its perimeter.
3 1/3% or 3.333...%
Weiming invests $4000 in a savings scheme that pays simple interest at a rate of 2% per annum. Calculate the number of years taken for his investment to grow to $4400.
5 years
a circle of radius 7 ππ is inside a rectangle and touches two sides of this rectangle. The length of the rectangle is 9 ππ longer than its width. Use π β 3.14, calculate the area between the circle and the rectangle.
168.14
Shells are being distributed into a fixed number of boxes. If the shells are distributed into groups of 14, there will be 6 extra shells. If the shells are grouped into 16, there will be a shortage of 84 shells. What is the total number of shells?
636
In a camp, each student played at least two games. The games were Scavenger Hunt, Animal Charades and Musical Chairs. 12 students played all three games, 33 played the Scavenger Hunt, 29 played the Animal Charades and 36 played the Musical Chairs. How many students were there in total?
43
Tom selected 30 different whole numbers such that the product of any 11 numbers is always even. The sum of the 30 numbers is an odd number. Find the least possible sum of these numbers.
543
What is the missing number in the sequence?
131, 228, 331, 430, 531, 630, 731, ? , 930
831
A container is made up of a hollow cone with an internal base radius of π cm and a hollow cylinder with the same base radius and an internal height of 2π cm. Given that the height of the cone is two-thirds of the height of the cylinder and 5 litres of water are needed to fill the conical part of the container completely, find the amount of water needed to fil the container completely, giving your answer in litres.
27.5L
Aliβs car consumes petrol at an average rate of 8 litres daily. Before Ali begins his journey, he tops up the petrol in his car to 100 litres. Given that there must be at least 15 litres of petrol in the tank at all times, form an inequality and solve it to find the maximum number of days he can travel before he has to top up the petrol again.
10 days
It is given that 159π + 49 is a four-digit perfect square, where π is a positive integer. Find the value of π.
13