Day 1 Year 5 Math Trial Test

The ratio of two numbers is 3 to 2.

If the smaller of the two numbers is decreased by 6, the ratio of the two numbers will be 2 to 1.

What is the larger number?

The combined height of the two buildings is 85 metres.

One building is 37 metres taller than the other building.

How tall will the shorter of the two buildings be if they add an antenna on top that is 3 metres tall?

24 + ◆ ÷ 2 – 5 = 34

What number ◆ will make the above equation true?

Ginny’s average score in a bowling game was 164 points per match and Emma’s average score was 158 points per game.

If each of them played 4 matches, how much greater was Ginny’s total score in the game than Emma’s total score?

A water tank had a leak and was losing water at a rate of 5 millilitres per second.

How many litres of water was the water tank losing per hour? (1 litre = 1,000 millilitres)

For his Science experiment, William needs to find the masses of 12 granite rocks and 8 basalt rocks.

The average (arithmetic mean) mass of all the granite rocks was 8 kilograms and the average mass of all the basalt rocks was 7 kilograms.

What was the average mass of all the 20 rocks?

The dimensions, in centimetres, of a pentagon are shown above.

The area of the pentagon is 31 square centimetres. What is the perimeter of the pentagon?

 represents a number.

4 × ( – 3) =  + 4 × 3

What number is ?

The circumference of the circle above is 12π centimetres.

What is the area of the circle?

Tim bought 7 boxes of donuts for a total cost of $9.80.

What will be the cost of 5 boxes of donuts at the same price per box?

The figure above shows the locations and distances of the bank, the bookstore, and the mall on the map.

How many more kilometres would the travel distance be if someone went from the bank to the bookstore and then went to the mall, rather than going from the bank directly to the mall given that the distance from the Bank to Bookstore is 6 km.

What is the value of 5 – 3(10 – 2(7 + 8))?

If P + Q = 50, what is the value of (P + Q/2) + (P/2 + Q)?

The office space in the building can be rented for $150 per 30 square metres for one day.

Brian rented a rectangular office space in the building that measures 8 metres by 15 metres for one day.

Derek also rented a rectangular office space in the same building that measures 15 metres by 20 metres for one day.

How much more did Derek pay for the rent than Brian?

Miss Robles brought to class a box containing 16 kilograms of playdough for an activity.

After several students had taken some playdough from the box, the box had 14 kilograms of playdough left.

What was the percent decrease in the amount of playdough in the box?

The symbol ∅ represent a number.

∅/3 = 20/12.

What number is ∅?

Gemma earns $75 for every hour she works.

If she earned a total of $1 800 last week at that rate, how many hours did she work last week?

A local bakery sells chocolate donuts for $2 each and caramel donuts for $3 each.

If Liam can spend up to $25 to buy donuts at the bakery, what is the greatest number of donuts he can buy?

Carl is playing a game where he collects red and blue crystals.

He can exchange the crystals he collected for points.

If 3 red crystals are worth 6 points, and 2 red crystals and 1 blue crystal are worth 8 points, then 3 blue crystals are worth how many points?

The ratio of the number of male members to the number of female members in the Chess Club is 3 to 2.

If the Chess Club has 36 male members, how many members does the Chess Club have in all?

What is 3 245.4355 rounded to the nearest thousandths?

The table below shows the distribution of the fruit trees on Uncle Henry’s farm.

If there are 44 cherry trees on Uncle Henry’s farm, what is the total number of trees?

Two squares, each with an area of 16 square metres, are joined together to form a rectangle.

What is the perimeter of the rectangle?

During the mall sale, Annie got a 25 percent discount on a microwave oven and only paid $180.

What was the original price of the microwave oven before the discount?

In the figure above, what is the degree measure of angle BOD?

In the Sales Department, the ratio of the number of executives to the number of junior staffers is 4 to 11.

If there are 84 more junior staffers than executives, how many executives are there in the Sales Department?

A rectangular garden is 8 metres long.

A fence marking the boundary of the garden is 26 metres in length.

What is the area of the garden?

The area of the circle above is equal to its circumference.

What is the diameter of the circle?

Carl leaves the park at exactly 7:00 AM and drives on a straight highway at a constant speed of 20 kilometres per hour.

Two hours later, Jake leaves the same park and drives on the same straight highway at a constant speed.

If Jake overtakes Carl at exactly 11:00 AM, what was Jake’s constant speed?

At the hotdog eating contest, Ben can finish eating 16 hotdogs in 10 minutes.

At this rate, how many hotdogs can Ben finish eating in 72 minutes?

Each red treasure chest contains 20 power-up crystals and each yellow treasure chest contains 36 power-up crystals.

If Manny opened 5 treasure chests and earned 164 power-up crystals, how many red treasure chests did he open?

If 1/9 of ⧫ is 6, what is 1/6 of ⧫?

You can buy 6 eggs at the supermarket for $8.

At the same price per egg, how many eggs can you buy for $48?

Coming from the floor of the Finance Department, Joey rides the elevator and goes 4 floors down, then 3 floors up, then 6 floors down, then 2 floors up, then 9 floors up, and finally, 2 floors down.

On what floor is he now?

Sally is making lemonade.

She can make 1 litre of lemonade with 3 pieces of lemons.

How many litres of lemonade can she make with 96 pieces of lemons?