Australian AMC 2019 - Junior

$201-9=$

This rectangle is 5 cm wide and 4 cm tall.
What is its area in square centimetres?

The table shows the number of boys and girls aged 10 or 11 in year 5.
How many boys aged 11 are in year 5?

The circles are in a regular rectangular pattern.
Some circles are hidden by the card.
What fraction of the circles is hidden?

Which one of the following is the largest number?

What is $25\%$ of $\frac12$?

We’re driving from Elizabeth to Renmark, and as we leave we see this sign.
We want to stop at a town for lunch and a break, approximately halfway to Renmark.
Which town is the best place to stop?

This letter F is first rotated by $90^\circ$ clockwise and then reflected in a horizontal line.
It will now look like this.

Edith wrote down the whole numbers from 1 to 20 on a piece of paper. How many times did she write the digit 1?

Danny divided a whole number $P$ by another whole number $Q$ on his calculator and got the answer 3.125.
Later, Danny forgot the two whole numbers, but he knew that both were under 30.
The value of $Q$ is

Every row and every column of this $3\times3$ square must contain each of the numbers 1, 2 and 3.
What is the value of $N+M$?

A piece of paper is folded in three, then a semi-circular cut and a straight cut are made, as shown in the diagram.
When the paper is unfolded, what does it look like?

What is the value of $z$?

$\dfrac{111111111}{111}=$

Jill has the same number of brothers as she has sisters. Her brother Jack has twice as many sisters as he has brothers. How many children are in the family?

The large rectangle shown has been divided into 6 smaller rectangles. The shaded rectangle in the bottom-right corner has dimensions of $2\text{ cm}\times3\text{ cm}$. The remaining five rectangles all have the long side equal to twice the short side. The smallest of these has a width of 1 cm.
What is the total area of the original large rectangle, in square centimetres?

In my dance class, 14 students are taller than Bob, and 12 are shorter than Alice. Four students are both shorter than Alice and taller than Bob. How many students are in my dance class?

My washing machine has a digital display. It counts down the time remaining until the end of the wash, although sometimes I confuse the time remaining with the actual time.
At 1.05 pm yesterday the washing machine displayed 2:41, namely 2 hours and 41 minutes remaining.
When did the washing machine’s countdown display happen to agree with the actual time?

A seven-digit number is in the form $20AMC19$, with all digits different. It is divisible by 9.
What is the value of $A+M+C$?

John, Chris, Anne, Holly, Mike and Norman are seated around a round table, each with a card with a number on it in front of them. Each person can see the numbers in front of their two neighbours, and says the sum of these two numbers.
John says 30, Chris says 33, Anne says 32, Holly says 38, Mike says 36 and Norman says 41. What number does Holly have in front of her?