Day 4 Year 5 Math Trial Test

P and Q are different numbers.

Eleven more than twice the sum of P and Q is equal to the product of P and Q.

If Q = 7, what is the value of Q – P?

Mindy is baking a 5-layer wedding cake.

The bottom layer of the wedding cake will be 30 centimetres tall.

Each succeeding layer after the bottom layer will be 2 centimetres shorter than the layer directly below it.

If there will be a figurine 14 centimetres tall on top of the wedding cake, what will be the total height of the wedding cake?

Each piece of nut produced has the same weight and each bolt produced has the same mass.

The total mass of 2 nuts and 3 bolts is one-third that of 8 nuts and 5 bolts.

The total mass of 1 bolt is how many times that of 1 nut?

One-quarter of the students at the pilot academy are freshmen, one-fifth are sophomores, half are juniors, and the remaining 25 are seniors.

How many total students are there at the pilot academy?

Eighteen of the 20 square glass panes in the window were broken and needed to be replaced.

Only one yellow glass pane and one red glass pane were not broken, as shown below.

The number of blue glass panes must be 4 times the number of red glass panes, the number of green glass panes must be half the number of blue glass panes, and the number of yellow glass panes must be 3 times the number of red glass panes.

How many glass panes must be blue?

Dennis bought 4 packs of baseball cards.

The average (arithmetic mean) price of the 4 packs of baseball cards is $40.

If Dennis also buys the fifth pack of baseball cards with the price of $80, what is the average price of those 5 packs of baseball cards?

What is the simplified result of following the steps below in order?

(1)   Add 5A to 2B.

(2)   Multiply the sum by 3.

(3)   Subtract A + B from the product.

The ratio of roses to lilies is 4 to 3 and the ratio of lilies to daffodils is 1 to 5.

What is the ratio of roses to daffodils?

A batch of a pancake recipe calls for 3 eggs for every 4 cups of flour used.

Mindy makes 5 batches of the pancake recipe and used 15 eggs.

How many cups of flour does she need to use?

Carl will refuel his car at a rate of 2 litres of petrol fuel every 5 seconds.

If petrol fuel costs $1.25 per litre, how long will it take him to refuel his car with $40 worth of petrol fuel?

A space shuttle is travelling at a speed of 1 020 metres per second.

How fast is the space shuttle travelling in kilometres per hour?

At a certain toy store, a plush toy and a bag of marbles cost $4.40, while a toy car and a plush toy cost $5.60.

If a bag of marbles costs half as much as a toy car costs, how much does a plush toy cost?

Bert is three times as old as Rob.

Oscar is 8 years younger than Bert.

Rob is 7 years older than Carl.

If the sum of the ages of the four boys is 161, what is Rob’s age?

The dog Finn was 18 months old one year ago.

How many months old was Finn 15 months ago?

What number is 105 more than three-fourths of itself?

The total mass of a box and the nails it contains is 3 kilograms.

If 4/5 of the nails in the box are removed, the mass of the box and the remaining nails is 1 kilogram.

What is the mass of the empty box?       

What is the value 5 – 4 × 6 + 8?

Terry bought platinum pendants at $8.00 apiece and gold pendants at $5.60 apiece.

If Terry bought a total of 12 pendants for $84.00, how many platinum pendants did Terry buy?

What number is two hundred seventy-four more than half of 2 496?

The first gumball machine disperses 2 gumballs per minute starting at 8:05 AM.

The second gumball machine disperses 5 gumballs per minute starting at 8:23 AM.

If Andrew needs 400 gumballs from the two machines, at what time will he get the 400 gumballs?

The symbol 🞐 represents a number.

If two times 🞐 is five greater than three times seven, what number is 🞐?

Jane can complete the task by herself in 6 hours.

Emily can complete the same task by herself in 4 hours.

Beth can complete the same task by herself in 9 hours.

If they all worked together, what fraction of the task can the three of them complete in one hour?

Two cars, a sedan and an SUV, are parked in the parking lot of a mall.

The sedan leaves the parking lot, at 50 kilometres per hour, heading due east at 9:00 AM.

Two hours later, the SUV leaves the parking lot, at 70 kilometres per hour, heading due west.

How far apart will the sedan and the SUV be at 5:30 PM?

The tens digit of a two-digit number is three times its unit digit.

If the digits of the number are reversed, the new number is 54 less than the original number.

What is the original number?

In the figures below, the area of the square is half the area of the rectangle.

What is the perimeter of the square?

Marbles are sold for $12 per pack of 100, $8 per pack of 50, or $0.25 each.

If Gerald had $57.75, what is the greatest number of marbles that he can purchase?

The numbers in the grid below follow a pattern.

What is the value of M – N?

Two gift packs are identical whenever the number of cans of peaches in the two gift packs is equal and the number of cans of lychees in the two gift packs is equal.

What is the greatest number of identical gift packs that can be made out of 21 cans of peaches and 91 cans of lychees if no canned fruit is to be left out?

Amanda’s old phone loses 1 percent of its battery every hour.

Four hours ago, Amanda’s old phone had only 54 percent of battery.

How much battery will Amanda’s old phone have 6 hours from now?

The recipe calls for 14 grams of salt for every half a kilogram of ground pork.

If Ruby accidentally used 21 grams of salt into half a kilogram of ground pork, how many more grams of ground pork should she add?

If Kevin will be 35 years old in 6 years, how old was he 5 years ago?

In a high jump competition, if David’s second jump had been 6 centimetres higher it would have measured twice the height of his first jump.

If David’s second jump was 28 centimetres higher than his first jump, how high was his second jump?

The Starlink Enterprise spends 1/2 of its revenue on payroll, 1/4 on research, and 1/5 on training.

If the remaining $200,000 of revenue is spent on recruitment, how much was the total revenue of Starlink Enterprise?

In the line segment above, the length of PQ is equal to the length of QR and the length of QR is equal to the length of RS.

If the length of PR is 18, what is the length of RS?

The ratio of men to women attending the convention is 5 to 3.

If 39 women are attending the convention, how many people are attending the convention?