Week 2 Y6 Math Trial Test

At the hardware store, Bert bought 10 screwdrivers and 2 pliers for $48, while Ernie bought 15 screwdrivers and 1 plier for $44.

How much did Bert spend on pliers if all screwdrivers are the same price and all pliers are the same price? 

Michelle is currently 12 years older than Buffy.

Six years from today, Michelle will be twice as old as Buffy.

How old is Buffy today? 

White sugar costs 70 cents per pack, and brown sugar costs 40 cents per pack.

If Snow White spent $5.20 to buy 10 packs of sugar, how many packs of white sugar did she buy?

Of the 50 students in Steve Xu’s selective class, 30 are boys, 21 play soccer, and 9 are boys that play soccer. 

How many students in Steve Xu’s selective class are neither boys nor play soccer?

An electric generator can either run on petrol or diesel. 

Petrol costs $3 per litre, and the generator consumes petrol at a rate of 25 days per litre.

Diesel costs $4 per litre, and the generator consumes diesel at a rate of 30 days per litre.

How much more will it cost to run the generator for 300 days using diesel than petrol?

George Martin agreed to a two-day book signing event. 

He agreed that the pay for the first day of the event would be 12.5 percent less than his usual fee, while the pay for the second day would be 20 percent greater than his pay for the first.

The pay for the event’s second day is what percent greater than George Martin’s usual fee?

Last Saturday, Mulan sold 17 widgets at D dollars each. 

On Sunday, Mulan reduced the price of each widget by 50 percent and sold an additional 8 widgets.

In terms of D, what is the average (arithmetic mean) price, in dollars, of the 25 widgets that Mulan sold during those two days?

Michael spends 20 minutes each session doing yoga, with a 5-minute break between sessions. 

If he started doing his yoga at 8:10 AM, what time would it be when he finished his third 20-minute session?

A baker pays his assistant $22 per hour for each hour that the bakery is open. 

The bakery was open for 8 hours yesterday and sold $720 worth of baked goods.

If all the other bakery’s expenses yesterday were $160, how much was the bakery’s profit yesterday? (Profit = Revenue – Expenses)

A charity event collected a total of $6 450 in donations. 

If each guest at the event donated at least $85, what is the greatest possible number of guests at the charity event?

Roy earns $11.50 per hour for the first 40 hours he works in a week and gets 1 1/2 times that for each hour in excess of 40 hours. 

If Roy worked 48 hours last week, how much did he get?

At a rate of 6 000 revolutions per minute, how many revolutions can a gear make in 3 seconds? 

Jack spent 3/8 of his money on a chocolate bar and 5/12 on a pack of bubble gum. 

Jill spent 1/4 of her money on a chocolate bar and 1/2 on a pack of bubble gum.

If Jill has twice as much money as Jack, and the two of them decided to donate their remaining money to the local charity, what fraction of their combined money did they donate?

A vendor bought a table for $118 and sold it with a marked up of 30 percent. 

What is the selling price of the table?

If 60 percent of M is 40 percent of N, what is the value of M/N?

Three sandwiches and a soda cost $6.45, and six sandwiches and a soda cost $10.95.

What is the cost of one sandwich?

Allan is currently twice as old as Ben.

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

How old is Allan today?

Ecto-1 can travel between 20 and 24 kilometres, inclusive, for every litre of petrol.

What is the greatest number of litres of petrol needed by Ecto-1 to travel 360 kilometres?

The ratio of the number of black tokens to the number of all other tokens in the box is 4 to 1.

What percent of the tokens in the box are black?

How long will it take Elmo to drive 350 kilometres at an average speed of 50 kilometres per hour?

Pencils cost $1.75 each, and pens cost $4 each.

If Andrew spent $27 on 9 pens and pencils, how many pencils did he buy?

Sabrina’s car can travel 20 kilometres per litre of petrol.

She filled the 12-litre tank of her car to capacity and went on a road trip.

How far did Sabrina travel on her road trip if she still had 1/4 of a tank of petrol left?

Huey, Dewey, and Louie went on a road trip.

Huey drove at an average speed of 60 kilometres per hour, Dewey drove at an average speed of 50 kilometres per hour, and Louie drove at an average speed of 80 kilometres per hour.

If Huey drove for 4 hours, Dewey drove for 3 hours, and Louie drove for 90 minutes, what fraction of the total distance did Louie drive?

It took the bus 2.5 hours to complete a 1 200-kilometre journey.

What was the average speed of the bus during the journey?

The degree measures of the three interior angles of a triangle are in a ratio of 2:3:4.

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

A single pill of vitamins contains 400 milligrams of iron.

How many grams of iron are in a bottle containing 500 vitamin pills?

Yesterday, a bakery sold 30 percent fewer chocolate donuts than caramel donuts, and 10 percent fewer caramel donuts than sugar donuts.

The number of chocolate donuts sold yesterday is what percent of the number of sugar donuts sold?

A picture has a length of 1 024 centimetres and a width of 768 centimetres.

If the length of the picture was reduced to 800 centimetres, to what width must the picture be reduced to preserve the same length-to-width ratio?

If one copper ball has a mass of 400 grams, what is the combined mass of 48 such copper balls?

Adam is currently 12 years older than Steve.

Four years from today, Adam will be twice as old as Steve.

How old will Steve be in 3 years?

Dexter took a two-part test.

The first part of the test had 40 questions, and the second part had 80 questions.

He correctly answered 60 percent of the questions in the second part and correctly answered 70 percent of all the questions in the test.

What percent of the questions in the first part did he answer correctly?

Last month, an appliance store increased the original price of a toaster by 25 percent.

This price was then increased by another 40 percent this month.

The current price of the toaster is how many percent greater than the original price?

Ruben melted 8 identical ice cubes, each with an edge of 2 centimetres, inside a rectangular container 5 centimetres long, 6 centimetres wide, and 4 centimetres deep.

How many additional ice cubes must Ruben melt inside the container so that the container will be full?

Batman drove the Batmobile at an average speed of 50 kilometres per hour for 4 hours and then at an average speed of 20 kilometres per hour for 2 hours.

What was Batman’s average speed during the trip?

Jack has 5 fewer baseball cards than Jill.

If Jack gives Jill 5 baseball cards, Jill will then have 4 times as many baseball cards as Jack.

How many baseball cards does Jack have?