Day 4 Year 6 Math Trial Test

Snow White goes to the market with x dollars and buys y apples that cost z cents each.

Which of the following gives the amount of money, in dollars, that Snow White has after buying the apples?

Each month, the total expenses of a factory are equal to a fixed monthly expense plus a variable expense that is directly proportional to the number of blenders produced during that month.

If the factory’s total expenses for a month in which it produces 20 000 blenders are $570 000, and the total expenses for a month in which it produces 25 000 blenders are $705 000, how much is the factory’s fixed monthly expense?

A travelling merchant bought 24 kilograms of lima beans for a certain price per kilogram.

After some time, one-third of the stock of lima beans got spoiled, and he had to throw them away.

The merchant then sold the remaining lima beans for $90 per kilogram and made a total profit of twice the cost.

How much per kilogram did the merchant pay for the 24 kilograms of lima beans?

A belltower rings two times at quarter past the hour, four times at half past, and six times at three-quarters past the hour.

On the hour, it rings eight times plus an additional number of times equal to whatever hour it is.

How many times will the belltower ring from 1:00 PM to 5:00 PM, including the rings at 1:00 PM and 5:00 PM?

It costs g cents a kilometre for petrol and m cents a kilometre for all other costs to run a car.

Which of the following gives the dollar amount to run the car for 100 kilometres?

A colony of bees increases its population by 4 percent.

After this increase, natural causes deplete the population by 3/4.

The new bee population is what percent of the original bee population?

The number of livestock on a farm at the beginning of year 2020 was 100 000.

During the year, the number increased by p percent.

During the year 2021, there was a famine and the number decreased by q percent.

If it was found that the number of livestock on the farm at the end of year 2021 was 100 000, which of the following statements is correct?

The greatest common factor of 15, 18, and 24 is y, and the lowest common multiple of 15, 18, and 24 is x.

What is the value of x – y?

The numbers written on the blocks below are the lengths, in centimetres, of the blocks.

Which of the following statements is true?

The figure below shows a regular pentagon inside a rectangle with a perimeter of 18 centimetres.

If the area of the green-coloured region is 12 2/3 square centimetres, what is the area of the regular pentagon?

A monkey starts to ascend a greased pole 12 metres high at 10:00 AM.

The monkey ascends 2 metres in the first minute and then slips down 1 metre the following minute.

If this pattern continues until the monkey climbs the pole, at what time will the monkey reach the top of the pole?

Costca Supermarket receives a shipment of 1 000 coffee mugs, for which it pays $9 000.

The store sells the coffee mugs at a price 80 percent above cost during the first month, after which it reduces the price of the shirts to 20 percent above cost.

If the store sold 75 percent of the coffee mugs during the first month and 50 percent of the remaining coffee mugs afterwards, how much money did the sales of the coffee mugs generate?

Two people of different heights are walking around two different parks of the same size.

When the taller person walks five steps, the shorter person walks three steps at the same time.

The distance travelled by the taller person in four steps is equal to the distance travelled by the shorter person in five steps.

If the shorter person completed walking 100 rounds around the park, how many rounds did the taller person walk?

There is a collection of 45 markers of various colours and various designs on the table.

Of these 45 markers, 60 percent are permanent markers, and 60 percent have blue ink.

What cannot be the number of permanent markers with blue ink?

Sixty percent of the tokens in a jar are red.

Twenty tokens are to be added to the jar, three of which are red.

If, after the addition, 50 percent of the tokens in the jar are to be red, how many tokens will be in the jar?

Alicia earns $20 per hour, of which 1.45 percent is deducted to pay local taxes.

How many cents per hour of Alicia’s wages are used to pay local taxes?

The number of roses in Daisy Duck’s garden is divisible by 2, 14, and 11.

Which of the following could be the least possible number of roses in Daisy Duck’s garden?

Elmo made a 20 percent profit by selling his new bicycle for D dollars and made a loss of 20 percent by selling his old bicycle for D dollars.

What is the net gain or loss percentage made by Elmo in the two transactions?

In the figure below, PQRS is a parallelogram.

If the length of QT is 5 centimetres, what is the length of RT?

If P is 60 percent of Q, Q is 40 percent of R, and R is 20 percent of S, then 6S is what percent of 20P?

Little Corner Bookstore has a shelf that contains biographies, which regularly sell for $20 each, and novels, which regularly sell for $12 each.

During a sale, the biographies and novels are discounted at different rates so that a customer saves a total of $19 from the regular price by buying 5 discounted biographies and 3 discounted novels.

If the sum of the two discount rates for the two types of books is 35 percent, what is the discount rate on novels?

Blockbuster Videos sells individual DVDs for $20 and packages of three DVDs for $50.

Last month, the store sold 1 000 DVDs for an average (arithmetic mean) price of $18.

How many individual DVDs did Blockbuster Videos sell last month?

Bill Gates has two investments.

In one year, his earnings from the first investment, which pays 6 percent annually, is $10 000 more than his earnings from the second investment, which only pays 4 annually.

If Bill Gates invested $750 more in the first investment than in the second investment, what is the total amount invested in the two investments?

Two Sydney landmarks that are R kilometres apart are T millimetres apart on a map that was drawn to scale.

What is the distance, in millimetres, on the map between two landmarks that are R + 3 kilometres apart?

An online shop only sells metal hangers for $25 each and wooden hangers for $20 each.

If the online shop sold 500 metal hangers and made a total of $45 000 in revenues from the sale of hangers, how many total hangers did the online shop sell?

During the last harvest season, the total number of ears of corn harvested on the farm was divisible by both 2 and 3.

Which of the following could be the total number of ears of corn harvested last harvest season?

I. 234 124 422 ears of corn

II. 88 865 544 264 ears of corn

III. 5 555 554 673 ears of corn

The length of the base of a triangle is 6/7 of the length of its height.

If the height of the triangle is 21 centimetres, what is its area?

Eighty percent of the men in Riverdale are registered voters, and 66 percent of the women are registered voters.

If 78 percent of the total population is a registered voter, what fraction of the population are men?

Oranges were bought at the rate of 10 oranges for $25 and sold at the rate of 9 oranges for $25.

What percent was the profit? (Profit = Revenue – Expenses)

Belle placed a total of $6 400 in two accounts for one year.

One of the accounts earned simple annual interest at a rate of 5 percent, and the other earned simple annual interest at a rate of 3 percent.

If each account earned the same amount of interest after one year and Belle made no other transactions, what was the total amount of interest earned from both accounts?

There are 21 players, some of which are boys and some of which are girls, in Elmo’s baseball team.

Exactly 2/3 of the boys and exactly 1/3 of the girls of the baseball team attended the end of the season party.

What is the greatest number of players in the team who could have attended the party?

It takes Percy Jackson 50 minutes to sail from Sicily to Delphi.

The average speed of the entire round trip from Sicily to Delphi and back to Sicily, along the same route, is 87.5 percent of the average speed on the way to Delphi.

How many minutes approximately will it take Percy Jackson to sail back to Sicily from Delphi along the same route?

Carl is building a pyramid out of Leggo blocks.

When completed, the top layer of the pyramid contains a single Leggo block, and each layer below the top layer contains 6 more Leggo blocks than the one above it.

If the completed pyramid contains 16 layers, how many Leggo blocks did Carl use to build the pyramid?

Hogwarts School of Magic plans to build a new herbology wing that will cost $16 million to build, spread equally over the projected four-year construction timeframe.

Halfway through the second year, the amount actually spent on the wing is $10 million.

In order to finish the project on budget, the amount spent on the rest of the wing must be how much under the projection for the entire four-year construction period?

The average age of a couple was 24 years.

The couple’s first children were twins, and when the twins were born, the average age of the family became 13.5 years.

The average age of the family just after their third child was born was 13.2 years, and the average age of the family just after their fourth child was born was 16 years.

If the current average age of the family is 19 years, what is the current age of the twins?