Day 5 Y5 Math Trial Test

Of all the gumballs in a jar, 1/2 are blue, 1/7 are green, 1/4 are red, and the rest are yellow.

The combined number of red and yellow gumballs in the jar is 40. 

How many total gumballs are there in the jar? 

Betty’s brother was 8 years old 4 years ago. 

How old was Betty’s brother 2 years ago?

The number on the block is the length, in centimetres, of that block.

What number is x?

An ant is travelling from the anthill to the tree.

The distance it travels every day is half of the distance it travelled the day before. 

The distance between the anthill and the tree is 14 metres. 

How much should it travel on the first day to reach the tree in 3 days? 

To prepare his world’s famous meatloaf, Chef Ramsey uses beef, which costs $6 per kilogram, and pork, which costs $3 per kilogram.

If the finished meatloaf weighs 9 kilograms and costs $36, how many more kilograms of pork than beef are used? 

Randy walked 3 kilometres in 30 minutes today.

If he doubles his pace tomorrow, how far will he walk in 1 hour? 

Jane’s living room has a floor area of 8 metres by 4 metres.

She plans to carpet the entire floor area of her living room. 

If carpet costs $60 per square metres, which expression gives the total cost, in dollars, of carpeting the entire floor area of the living room? 

Alicia and Melanie are 4 kilometres apart.

At exactly 1:00 PM, Alicia starts walking toward Melanie at a rate of 3 kilometres per hour. 

At the same time, Melanie starts walking toward Alicia at a rate of 2 kilometres per hour. 

What time will the two of them meet? 

The number pattern in the triangle above is repeated in each of the triangles below. 

What is A + B?

A box contains 30 life crystals and 40 mana crystals.

Which of the following is 50 percent of mana crystals? 

The ratio of the area of a square to the perimeter of the same square is 5 to 4.

What could be the length of the side of the square? 

A motorcycle delivery rider leaves his office at exactly 10:00 AM and travels at 40 kilometres an hour to make a delivery 20 kilometres away.

If the delivery rider wishes to be back to his office by 10:50 AM, how fast must he travel on his return trip? 

Lisa had already sent out 120 party invites for her birthday next week.

This was 60 percent of all the party invites that she needs to send. 

What is the total number of party invites she needs to send?

The alarm of the clock at the bell tower rings every 15 minutes.

If the clock’s alarm rings first at 1200 hours, what time will the 15th alarm ring?

One hour after the bus left Town A heading towards Town B, a car left Town B and headed toward Town A along the same road.

The bus was travelling at an average speed of 30 kilometres per hour and the car was travelling at an average speed of 40 kilometres per hour.

If the distance between Town A and Town B is 450 kilometres, how many kilometres did the car travel when it passed the bus on the road?

What number is one-fifth of “three hundred forty-five less than 1 280”?

Cooper is making a pattern by colouring square tiles pink, green, blue, and yellow.

His completed pattern is shown below. 

If Copper meant the pattern to have both vertical and horizontal lines of symmetry, in which square did he make a mistake? 

The number line below is evenly spaced.

On what number is the red dot located? 

A water container is 3/4 full of water.

If Joseph were to add 5 litres of water to the tank, it would be 7/8 full. 

How many litres of water would the tank hold if it were full?

120 + (2 436 ÷ ◆) – 150 = 3 × (1 712 ÷ 16) – 148

What number is ◆? 

Tom started his 90-kilometre trip at exactly 8:30 AM.

He travelled the first 18 kilometres of the trip at a constant rate of 36 kilometres per hour and the remainder of the trip at a constant rate of 72 kilometres per hour. 

What time did he arrive at his destination?

Of the total number of people who ate in a restaurant one evening, 2/3 ordered pizzas.

Of those who ordered pizza, 1/3 had vegetarian pizza. 

If the total number of people who ate in the restaurant that night was 36, how many people at the restaurant did not order a vegetarian pizza?

The combined weight of Mark and his brother is 343 kilograms.

If Mark loses 7 kilograms, he will weigh half as much as his brother. 

What is Mark’s present weight? 

Tina was 31 years old 5 years ago.

How old was she 12 years ago? 

Cheryl invited 45 of her friends to her graduation party.

Two-thirds of his friends attended. 

If 1/3 of those friends left the party early and everyone else stayed until the end, how many of Cheryl’s friends are still at the party when it ends? 

A collection of cars went on sale, 4/5 of which were sold at $6.4 million each.

If none of the remaining 25 cars were sold, what was the total money received for the cars that were sold? 

Train M departs Fairfax heading for Anaheim at 10:00 PM on a Saturday, and Train N departs Anaheim at the same time headed to Fairfax on a parallel track.

Train M travels at 80 kilometres per hour and Train N travels at 85 kilometres per hour.

The distance from Anaheim to Fairfax is 660 kilometres. 

What time will it be when the two trains are at the same point between the two cities? 

In a certain university, 40 more than 1/3 of all the students are enrolled in a foreign language elective.

Of those enrolled in a foreign language elective, 1/4 are enrolled in Spanish. 

If 1/8 of all the students in the university are enrolled in Spanish, how many students are in the university? 

The aviary at the zoo houses several types of birds.

One-fourth of the number of canaries is one-tenth of the total number of birds in the aviary. 

One-fifth of the number of swallows is one-fifteenth of the total number of birds in the aviary. 

If there are 120 canaries in the aviary, how many swallows are in the aviary?

Seventy percent of the warriors from the planet Althea carry a spear.

Of the warriors that carry a spear, 40 percent also carry a shield. 

If 84 warriors are carrying a spear and a shield, what is the total number of warriors from the planet Althea? 

Marlon ordered 3 meatball subs and a cup of soda for $2.25.

Frost ordered 2 meatball subs and a cup of soda for $1.70. 

What is the price of 2 meatball subs? 

Hubert only had 5- and 10-dollar bills in his wallet.

The total amount of money in his wallet was $100.

If he has 2 more 5-dollar bills than 10-dollar bills, how many 10-dollar bills does he have? 

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

Each red crystal can be exchanged for 5 power-ups.

Each blue crystal can be exchanged for 7 power-ups. 

How many red and blue crystals does Noel need to collect to exchange for exactly 46 power-ups? 

A pancake batter is made up of three ingredients only.

By mass, 1/3 of the batter is flour, 3/5 of the batter is water, and the remaining 12 grams of the batter is sugar. 

What is the mass of the entire pancake batter? 

There are 450 maple trees at the park.

The number of maple trees is 5 times the number of all the other trees combined. 

How many more maple trees are there than non-maple trees at the park?