Day 2 Y5 Math Trial Test

A store only sells two types of space helmets.

One type of space helmet sells for 2 golds each and the other type of space helmet sells for 3 golds each.

If a space ranger can spend up to 25 golds to buy space helmets at the store, what is the greatest possible number of space helmets the space ranger can buy?

Working alone at a constant rate, Peter can finish the task in 3 hours.

Working alone at a constant rate, George can finish the same task in 2 hours.

How many minutes will it take Peter and George, working together at their respective constant rates, to finish the task?

Two sides of a triangle have lengths of 8 centimetres and 14 centimetres.

Which of the following could be the length of the third side of the triangle?

I.       6 centimetres

II.     8 centimetres

III.   14 centimetres

One serving of a granola bar has a length of 15 centimetres and contains 80 calories.

How many servings of the granola bar has Joe eaten if he had consumed 1 120 calories of granola bar?

In the figure below, ABCDE is a regular pentagon where all five diagonals are drawn.

What is the degree measure of angle a°?

Patrick’s new car can travel 20 kilometres for every litre of petrol.

If he fills up his new car with 5 litres of petrol, how far can he travel?

For every 1.5 kilometres that Gerry runs, he drinks 200 millilitres of energy drink.

How many litres of energy drink should Gerry bring with him if he plans on running 9 kilometres? (1 litre = 1 000 millilitres)

Fifteen identical machines can paint 3 cars in 2 hours.

How long will 5 such machines take to paint 6 cars?

An appliance store discounted the price of blenders by 40 percent.

By what percent must the store increase the discounted price of the blender to return its price to its original value?

Kendra drives at a constant speed of 45 kilometres per hour to get to work and arrives in 20 minutes.

How fast must Kendra drive if she wants to get to work in just 15 minutes?

The ratio of the degree measures of the interior angles of a triangle is 1:5:6.

What is the sum of the degree measures of the smallest and largest angles?

In the figure below, the numbers within each rectangle represent the horizontal length of each rectangle.

What is the total horizontal length of a + b?

Harry wants to shrink a picture to fit in the page of a photo album.

The photos currently have a width of 1 024 centimetres and a height of 768 centimetres. 

If he reduces the width to 800 centimetres, to what height must he reduce the picture to preserve the same ratio of width to height?

A jacket sells for $48 after a 25 percent discount.

What was the price of the jacket before the discount?

A large cube is made up of smaller cubes.

Each smaller cube has a volume of 25 cubic centimetres.

If the larger cube has three of these smaller cubes as one of its lengths, what is the total volume of the larger cube?

Out of the 500 000 parrots in the bird sanctuary, 1 in 12 500 has a unique mutation.

How many of the parrots in the bird sanctuary have a unique mutation?

Philip works as a waiter at the local diner.

He earns $11.50 per hour working during regular time and earns 112 times that working on overtime.

If Philip worked 40 hours of regular time and 8 hours of overtime last week, how much did he earn last week?

Three identical radios and a toaster cost $645.

Six identical radios and a toaster cost $1 095.

How much does one radio cost?

William is now twice as old as Ben.

Six years ago, William was 5 times as old as Ben.

How old is William now? 

The school cafeteria needs 2 bottles of juice each week for each student.

If there are 100 students in the school, how many weeks will 1 600 bottles of juice last?

The longer side of a rectangle is 6 centimetres longer than the shorter side.

If the perimeter of the rectangle is 60 centimetres, what is the area of the rectangle?

The office copier machine can make 40 copies in 8 minutes.

How many copies can the office copier make if it works non-stop for one hour?

A bag contains 4 kilograms of sand and 4 kilograms of cement.

How many kilograms of cement must be added to the bag to create a mixture that is 3 parts sand to 5 parts cement by mass?

A printer can print anywhere from 200 to 240 pages of document per bottle of ink.

What is the greatest number of bottles of ink the printer needs to print 3 600 pages of document? 

A rectangular solid has a square base and a height of 12 centimetres.

If the volume of the rectangular solid is 108 cubic centimetres, what is the perimeter of the square base of the rectangular solid?

The ratio of the number of red tokens to the number of all the other tokens in a bag is 3 to 2.

What percent of the tokens in the bag are red?

Alvin works as a sales agent.

Each week, he receives a commission that is equal to 12 percent of the first $500 of sales plus 20 percent of the sales he makes after the first $500.

If Alvin received a commission of $380 last week, how much was his total sales last week?

If 65 percent of the members of a certain organisation are female, what is the ratio of the number of female members to the number of male members of the organisation?

Ruben bought a construction paper that measures 12 metres by 6 metres.

He then cuts the construction paper into two identical squares, each of which he then cuts into two identical triangles.

What is the area of one of the triangles he made?

A rectangular garden measures 11 metres in length and 5 metres in width.

Each dimension of the garden was reduced by x metres to make the ratio of length to width 8 to 3.

What is the value of x?

The figure below shows the floor plan of the ground floor of a house.

The dimensions given in the figure are all in metres and each section of the house is a rectangle.

What is the area of the sitting room?

A cube has a total surface area of 54 square centimetres.

What is the volume of the cube?

A plumber agreed to do the first job at a rate of 1212 percent less than his regular rate and agreed to do a second job at a rate that is 20 percent greater than the first job.

The rate for the second job was what percent greater than his regular rate?

James does a 20-minute yoga per session, with a 5-minute break in between sessions.

If he begins doing yoga at 9:10 AM, what time will it be when he completes his third 20-minute yoga session?