Day 1 Year 6 Math Trial Test

Stephen Curry was offered a 3-year contract by the Red Lions that provided for an annual salary of $100 000 in the first year, an increase in the annual salary of 20 percent over the previous year for the next two years, and a $50 000 signing bonus.

The Blue Pelicans also offered him a 3-year contract providing an annual salary of $150 000 in the first year, an increase in annual salary of 10 percent over the previous year for the next two years, and no signing bonus.

If Stephen Curry accepts the offer from the Blue Pelicans and fulfils the 3-year contract terms, how much more money will he receive by choosing the Blue Pelicans over the Red Lions?

A total of 120 000 tickets went on sale for a concert, where 30 percent of the total revenue from the sale of tickets will be given to charity.

If each ticket cost $10 and the non-charitable revenue was $357 000, how many of the tickets were left unsold?

If the current price per kilogram of sugar were to be decreased by 25 percent, Susan could buy 10 more kilograms of sugar for $66.

What is the current price per kilogram of sugar?

According to the new city’s payroll tax table, no payroll tax is charged on a company with a total payroll of less than $200 000 and charges 0.1 percent on a company’s total payroll above $200 000.

What was Kenford Industries’ total payroll if they paid $200 in payroll tax?

Elmo has enough money to buy 45 baseball cards.

If the baseball cards each cost 10 cents less, he could buy 5 more baseball cards.

How much money does Elmo have to spend on baseball cards?

Barbie has a collection of shoes consisting of shoes made of leather and suede.

Five-sevenths of the leather shoes are low-tops, and one-third of the leather low-tops are loafers.

If Barbie owns seven more pairs of suede shoes than leather shoes, what is the least possible number of pairs of shoes in her collection?

Carpeting is installed along one wall of a hallway.

The carpeting costs $4.25 per square metre, and the wall is 50 metres long.

If the number of metres in the perimeter of the wall is equal to 44 percent of the number of square metres in the area of the wall, how much did the carpeting cost?

A bookstore sells science and maths books for $60 and $100, respectively.

If the number of maths books the bookstore sold was three times the number of science books, which of the following cannot be the revenue generated by the sale of these books?

Big Bird bought 30 copies of the new Harry Potter book, 10 of which are hard-bound and sold for $20 each, and the rest are paperbacks and sold for $15 each.

Big Bird then returned 12 copies of the book, and the total value of the remaining books was 280.

How many paperback copies did Big Bird return?

In the town of Greendale, properties are assessed at 60 percent of its appraised value and taxed annually at the rate of $4 per $100 of assessed value.

If Bugs Binny is assessed $240 per quarter in property taxes, what is the appraised value of his property?

In Anastacia’s writing class, the average (arithmetic mean) score on a test among girls was 92.6, the average score among boys was 83, and the average score for the whole class was 89.

If there are 16 students in Anastacia’s writing class, which of the following statements must be true?

While exploring a cave, Dora comes across a collection of 5-kilogram crystals worth $14, 4-kilogram crystals worth $11, and 1-kilogram crystals worth $2.

If there are at least 20 crystals of each size and Dora can carry at most 18 kilograms, what is the greatest value of the crystals she can carry out of the cave?

Cookie Monster can spend a maximum of $56 on chocolate chip cookies and vanilla cookies.

Chocolate chip cookies cost $5 each, and vanilla cookies cost $4 each.

If Cookie Monster purchases both chocolate chip cookies and vanilla cookies, what is the greatest possible number of chocolate chip cookies he can purchase?

If Winnie the Pooh poured the contents of a jar of honey that is 40 percent full into an empty 200-litre container, it would fill the container to 25 percent of capacity.

How many jars full of honey does Winnie the Pooh need to fill three of these containers?

Goofy’s baseball team played ten games last season, scoring 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 runs.

They lost by one run in exactly five games, and in each of the other games, they scored twice as many runs as their opponent.

How many total runs did their opponents score?

A bag only contains red, blue, and green marbles in a ratio of 2:3:7, respectively.

A number of green marbles are taken out from the bag, and a number of red and blue marbles are put into the bag such that the new ratio of red, blue, and green marbles is 4:5:9.

What is the least possible number of red marbles which were put into the bag?

A stationary store only sells local and foreign stamps.

The line graph above shows the number of stamps sold by the store each day from Monday to Friday of last week.

According to the graph above, on which day was the ratio of the number of local stamps sold to the total number of stamps sold the greatest?

In 2019, the price of each Teslo car increased by 10 percent from the 2018 price.

In 2020, they decreased by 5 percent from the 2019 price, and now cost between $18 000 and $19 800.

Which of the following could be the price of a 2018 Teslo car?

I. $17 230

II. $18 180

III. $18 935

In the standard formulation of a flavoured drink, the ratio, by volume, of flavouring to corn syrup to water is 1:12:30.

In the sports formulation, the ratio of flavouring to corn syrup is three times as great as in the standard formulation, and the ratio of flavouring to water is half that of the standard formulation.

If a large bottle of the sports formulation contains 3 litres of corn syrup, how many litres of water does it contain?

Bill Gates earned an average (arithmetic mean) of d dollars per month from January to November last year.

In December, he earned $27 800, thus decreasing his January to November’s average earnings per month by $1 200.

What was Bill Gates’ average earnings per month last year?

In the figure below, ABCD is a parallelogram, and ADEF is a rectangle.

If the length of AB equals the length of AF, what is the value of x – y?

Trains travel from Greendale to Riverdale and from Riverdale to Greendale every hour, with the first one starting at 6:00 AM.

The trip from one city to the other takes 4.5 hours, and all the trains travel at the same speed.

If Sabrina takes the 12:00 PM train from Greendale to Riverdale, how many trains will her train pass along the way?

A merchant makes a profit of 20 percent by selling widgets at a certain price.

If the merchant charges $1.20 higher per widget, he will gain 40 percent.

What was the original price at which the merchant sold a widget?

The enrolment at Hogwarts School of Magic for the new school term is 10 percent more than the enrolment last year.

The number of female students increased by 5 percent, and the number of male students increased by 20 percent.

Female students make up what fraction of the current enrolment at Hogwarts School of Magic?

A cab driver charges $5.50 for the first 1/5th of a kilometre, $1.50 for each additional 1/5 of a kilometre, and 20 cents per minute of waiting time.

Glenda took the cab from her place to a flower shop 8 kilometres away, where she bought a bouquet, then another 3.6 kilometres to her mother’s place.

If the driver had to wait 9 minutes while she bought the bouquet, how much was Glenda’s total fare for the ride?

A flower shop sells roses for $4.30 each, one dozen for $36, or two dozen for $50.

What is the greatest possible number of roses that Aurora can buy for $680?

Elsa is thinking of leaving her job paying $85 000 per year to accept a sales job paying $45 000 per year plus 15 percent commission for each sale she makes.

If each of her sales is for $1 500, what is the least number of sales she must make per year if she is not to lose money because of the job change?

Jack begins hiking up a trail, ascending at a constant rate of 200 metres per hour.

Sixty minutes later, Jill begins hiking down the same trail, starting at a point 1 700 metres higher than Jack’s starting point.

If Jill descends at a constant rate of 300 metres per hour, how many metres will Jack have ascended when the two meet?

Of 7 000 tickets to Taylor Swift’s concert, 80 tickets were not sold, and of those that were sold, 50 percent were sold at 10 percent higher than the average price.

If the average price of the sold tickets is $10, how much is the total revenue from the sale of the tickets?

SpongeBob receives a commission of $60 plus r percent of the selling price for each item he sells.

If SpongeBob sold 12 items for a total of $3 485 and his total commissions for those items sold was $1 417, what is the value of r?

Dexter has a 12 percent salt solution, an 8 percent vinegar solution, and a 15 percent acid solution.

He mixes 3 litres of the acid solution with 3 litres of the vinegar solution.

What is the least amount of the salt solution he must add if the resulting mixture must be at least 2 percent salt solution?

The local theme park sold 1 750 tickets, each of which was either an adult or children’s ticket, and earned a total of $27 000.

The theme park earned 25 percent more from adult tickets than from children’s tickets but sold 25 percent fewer adult tickets than children’s tickets.

How much did a children’s ticket cost?

If the current day and time is 9:30 PM on Tuesday, what time will it be, to the nearest minute, 100 000 seconds from now?

Five friends placed a delivery order to a pizzeria, that comes to a total of $42.50, excluding the tip.

If the friends agree to share equally in the costs, and if they agree to tip the delivery person 15 percent plus whatever change is necessary to round up the total to a whole dollar amount, how much will the share of each friend be?

The sum of the wages earned by Rachel, Phoebe, and Monica in a week is $2 600.

If four times Rachel’s wage is equal to six times Phoebe’s wage and eight times Monica’s wage, how much is Rachel’s wage more than that of Phoebe?