Day 2 Y5 Math Trial Test

A merchandiser will arrange 5 boxes of marbles.

Each box contains two fewer marbles than the previous box.

If the total number of marbles in the 5 boxes is 95, how many marbles are in the box with the greatest number of marbles? 

A printing machine can print 5 pages every 2 seconds.

At this rate, how many pages will the printing machine print in 7 minutes?

In the line segment above, the ratio of the length of BD to the length of BC is 4 to 3.

What is the ratio of the length of BC to the length of CD? 

In the number line above, each letter represents consecutive integers.

What is the value of Q – O?

Linda won 120 tickets.

The ratio of the number of gold tickets to the number of silver tickets to the number of red tickets she won is 5 to 7 to 8. 

How many silver tickets did she win? 

The number line above shows the location of a and b.

Which of the following statements must be true?

  i. a × b > 0 

 ii. a ÷ y < 0

iii. a – b > 0

A bus travels a distance of 160 kilometres in 2 hours and 40 minutes.

What is the speed of the bus in kilometres per hour? 

The average of 5 numbers is 36.

If the average of four of those numbers is 34, what is the fifth number? 

M and N represent a positive digit in the addition problem below.

What is the value of M + 2N?

If the weight of the green rock was 8 kilograms lighter, it would weigh twice as much as the red rock.

Together, the weight of the rocks is 278 kilograms. 

What is the present weight, in kilograms, of the green rock? 

Charlotte works as a waitress at the local diner.

She earns $5.50 per hour on days other than Mondays and twice that rate on Mondays. 

If Charlotte worked 50 hours last week including 10 hours on Monday, how much were her earnings last week?

Five sharpeners, 6 notebooks, and 1 pin cost $17.50.

Three notebooks, 3 sharpeners, and 2 pins cost $10. 

How much does 1 sharpener, and 3 pins cost? 

A group of friends plans to rent a van together for $240, which will be shared equally among them.

If five, rather than eight people rent the van together, how much more will each person have to pay? 

Working at a constant rate, Caroline takes 1/8 of an hour to answer 6 questions in her maths homework.

At the same rate, how long will it take her to answer 4 questions in her maths homework? 

◆ represents one number and ■ represents another number.

5 × ◆ = 3 × ■ = 25

What is the value of 30 × ◆ × ■? 

John uses 1/8 of his monthly income for food, 1/8 to pay his bills, 1/8 to pay for his loans, and 4/5 of the remaining for rent.

If at the end of each month, John saves 1/2 of his remaining income, what portion of his monthly income does John save? 

Hilda baked chocolate muffins and cinnamon muffins.

The ratio of the number of chocolate muffins to the number of cinnamon muffins she baked is 3 to 2. 

If she baked 12 cinnamon muffins, how many chocolate muffins did she bake?

Karl drove from Sydney to the Gold Coast in 6 hours.

On the return trip over the same route, his average speed was twice as fast. 

What was the total number of driving hours for Karl’s round trip? 

It takes 10 hours to fill an empty water tank with water to 6/7 of its capacity.

How much more time will it take to finish filling the water tank? 

A flower shop only sells roses for $5 each and lilies for $4.

Cynthia spent $34 purchasing 8 flowers from the flower shop. 

How many lilies did she purchase? 

A video shop has a section for comedy movies only.

Each shelf in the section displays 10 comedy movies. 

After 16 comedy movies were rented, each shelf was left with 7 comedy movies except for the final shelf, which had 9 comedy movies. 

How many shelves are in the section for comedy movies? 

The number of junior staffers in the Finance Department is 3/5 the number of junior staffers in the Accounting Department.

The total number of junior staffers in the Finance and Accounting Departments combined is 240.

How many more junior staffers are there in the Finance Department than in the Accounting Department? 

A tiger and a cheetah are standing on both ends of the savannah, 900 metres apart.

The tiger runs 10 metres per second while the cheetah runs 15 metres per second. 

If the two animals both begin running towards one another at the same time, how many seconds will it take for them to meet? 

If 3A – 2B = 7, what is the value 4B – 6A?

♥, ♦, ♣, and ♠ represent four numbers.

If ♥ + ♦ = 4, ♦ + ♣ = 9, and ♣ + ♠ = 3, what is the value of ♥ + ♠?

There are 2 science books for every history book in the library, and there are 7 maths books for every science book.

Which of the following gives the ratio of the number of maths books to the number of science books to the number of history books in the library? 

Amy can make 40 dumplings in 8 minutes.

At this rate, how many dumplings can she make in 1 hour?

A collector store sells premium stamps for $5 per roll and regular stamps for $4 per roll.

Joe buys some rolls of stamps for $31.

How many rolls of premium stamps does he buy? 

A jar contains sweet gumballs and sour gumballs only.

The ratio of sweet gumballs to sour gumballs is 5 to 7. 

When 3 sweet gumballs are added to the jar and 9 sour gumballs are removed, the ratio of sweet gumballs to sour gumballs becomes 3 to 2. 

How many sour gumballs are there after the changes? 

In a group of 45 students, the ratio of boys to girls is 4 to 1.

If an additional 15 girls are added to the group, what is the new ratio of boys to girls? 

Ten people agreed to equally share the rent for a van.

The cost of renting the van is $600.

If after the down payment, each person still owes $27, how much was the down payment per person?

A list consists of 7 consecutive integers.

The sum of the last 4 integers in the set is 34. 

What is the sum of the first 3 integers in the set? 

A secretary is paid a regular rate of $16 per hour for any number of hours that do not exceed 40 hours per week.

For any hours worked in excess of 40 hours per week, the secretary is paid an overtime rate of $28 per hour. 

If the secretary earned $976 last week, how many total hours did she work last week? 

Patrick is one year older than three times Angela’s age.

If their current ages add up to 33, how old will Patrick be in 4 years? 

If Hubert can crack 3 codes in 50 minutes, how many codes can he crack in 5 hours?