Day 3 Y5 Math Trial Test

A bakeshop had 2 000 boxes of cookies to sell.

The bakeshop sold 1/5 of boxes in the morning and 1/4 of the remaining boxes in the afternoon. 

How many were left? 

If P and Q are different prime numbers less than ten, which of the following must be true about P + Q?

Charlene and Devyn were the only candidates for mayor.

Out of the total 12 000 registered voters in the city, 1/3 did not vote.

If 1/4 of the votes cast were for Charlene and the rest of the votes were for Devyn, how many votes did Devyn receive? 

A video game store only sells action and adventure games.

At the beginning of the day it had 625 video games in stock. 

By the end of the day, it had sold 80 percent of its inventory of video games. 

If the store sold an equal number of action games and adventure games, and in doing so sold all of its adventure games, how many action games did the store have in stock at the beginning of the day? 

The grid above is made up of identical squares.

Some of the squares are coloured red, some are blue, some are green, some are yellow, and one square is not coloured.

If 1/6 of the squares must be red, 3/8 must be blue, 1/4 must be green, and 5/24 must be yellow, what colour must the uncoloured square be?

Amy took four tests.

Her average (arithmetic mean) score on the first 3 of the 4 tests is 85. 

If she wants to raise her average score by 2 points, what score must she earn on the fourth test? 

A car completed a 40-kilometre trip at an average speed of 60 kilometres per hour.

If the car travelled at an average speed of 50 kilometres per hour during the first 20 kilometres of the trip, what was the car’s average speed in the last 20 kilometres of the trip? 

A movie theatre sells two kinds of tickets: orchestra for $25 and deluxe for $40.

During the premiere of the new action movie, the theatre sold 90 tickets and got     $2 625 in revenue from the sales. 

How many deluxe tickets did they sell?

Each of these decimals is rounded to the nearest tenth.

Which decimal changed the least? 

The green portion of the hexagon above makes up 1/3 of the total area of the hexagon and the blue portion makes up 4/15 of the total area of the hexagon. 

What fraction of the total area does the orange portion make up?

Edna had 25 pairs of earrings.

If she loses 9 individual earrings, what is the greatest number of matching pairs of earrings she could have left?

During a certain week, 70 percent of the movies rented from a video store were comedies.

Of the remaining movies rented, there were 5 times as many dramas as action movies. 

If no other movies were rented during that week and there were 2 action movies rented, how many comedies were rented during that week?

In the number line segment above, the length of AB is 5 units, the length of AC is 11 units, and the length of DE is 4 units. 

If the length of BC is twice the length of CD, what is the length of AE? 

For his art project, William needs 4/9 of a square metre of gold construction paper and 2/3 of a square metre of silver construction paper.

He buys exactly that amount. 

After finishing his art project, however, he had 8/18 of a square metre left that he did not use. 

What is the total amount of square metres of construction paper that William uses on his art project? 

A sales agent earns 15 percent in commission for the first $50 000 worth of his sales and then an additional 10 percent for any sale that exceeds the initial $50 000 sales.

If the sales agent earned $24 000 in commissions last month, what was the sales agent’s total sales last month? 

A slug is crawling towards the pond and is travelling at a rate of 2 centimetres every 15 minutes.

The snail is trying to reach the pond first from 90 centimetres away and is crawling at a rate of 3 centimetres every 10 minutes.

If the slug and snail start at the same time and arrive at the pond at the same time, how many centimetres away from the pond did the slug begin? 

The Alpha Company has three times as many soldiers as the Bravo Company.

Together, the Alpha Company and the Bravo Company have twice the number of soldiers as the Charlie Company. 

What is the ratio of the number of soldiers in the Charlie Company to the number of soldiers in the Bravo Company? 

If N/(M + N) = 5/8, then what does M/N equal?

∅ is a number that is 23 more than three-fourths of itself.

What number is ∅? 

Carmi can answer 54 maths problems in 18 minutes.

If she continues working at the same rate, how long will it take her to answer 81 maths problems? 

M and N are numbers.

M + N = 17 and 2M – N = 6.

What is the value of M/2? 

If (5 + S) × T = T × (5 – S), T 0, which of the following must be true?

In Mrs. Copper’s class, the number of boys is one-third the number of girls.

What is the ratio of the number of girls to all the students in Mrs. Copper’s class?

The school’s basketball team played a total of 25 games last season.

If the team won 60 percent of their games, how many more games did they win than they lost? 

What is the value of (3/4  + 1/2 )/(5/8)?

How many minutes are there in 1 1/3  hours?

The ratio of two numbers is 6.

If the sum of the two numbers is 36, what is the value of the larger number? 

If 4A + B = 8 and B – 3A = 7, what is the value of A + 2B?

The average (arithmetic mean) of P, Q, and R is 8.

The average of Q and R is 4. 

What number is P? 

The space shuttle consumes 80 grams of tachyon particles to travel 320 light-years.

At this rate, how many grams of tachyon particles are needed to travel 700 light-years? 

A private jet charges $85 for the first kilometre of a trip and $5 for every kilometre after that.

If the total cost of a trip was $365, how many kilometres were flown?

The sum of the ages of Kevin and Gwen today is 18 and Gwen is twice as old as Kevin.

How old will Kevin be in 18 years?