Australian AMC 2021 - Junior

2021 − 1202 =

What is the perimeter of this figure?

The area of this triangle is

On the number line below, the fraction $\frac38$ lies between

Which of the following is closest to 2021?

In the diagram, AB is parallel to EF and DE is parallel to BC. What is the value of x?

Mister Meow attempted the calculation 5 × 2 + 4, but accidentally swapped the multiplication and addition symbols. His answer was

Dad puts a cake in the oven at 11:49 am. The recipe says to bake it for 75 minutes. When should the cake come out of the oven?

Damon made up a joke and sent it as a text message to three people in his class. These three each sent it to three other people in the class. No-one receiving the joke had seen it before. Including Damon, how many people now know the joke?

I am shuffling a deck of cards but I accidentally drop a card on the ground every now and then. After a while, I notice that I have dropped five cards. From above, the five cards look like one of the following pictures. Which picture could it be?

To feed a horse, Kim mixes three bags of oats with one bag containing 20% lucerne and 80% oats. If all the bags have the same volume, what percentage of the combined feed mixture is lucerne?

Three squares with perimeters 12 cm, 20 cm and 16 cm are joined as shown. What is the perimeter of the shape formed?

The odometer in my car measures the total distance travelled. At the moment, it reads 199786 kilometres. I am interested in when the odometer reading is a palindrome, so that it reads the same backwards as forwards. How many more kilometres of travel will this take?

A square has an internal point P such that the perpendicular distances from P to the four sides are 1 cm, 2 cm, 3 cm, and 4 cm. How many other internal points of the square have this property?

How many different positive whole numbers can replace △ to make this a true statement? $\frac{\triangle}{10}+\frac13\lt1$

Three blocks with rectangular faces are placed together to form a larger rectangular prism. All blocks have side lengths which are whole numbers of centimetres. The areas of some of the faces are shown, as is the length of one edge. In cubic centimetres, what is the volume of the combined prism?

I have four consecutive odd numbers. The largest is one less than twice the smallest. Which of the following is the largest of the four numbers?

This is a square with sides of 10 metres. From the constructions shown, which of the areas is the largest?

Sandy, Rachel and Thandie collect toy cars. Altogether they have 300 cars. Rachel has grown up and decides to give her cars away. If she gives them all to Sandy, then Sandy will have 180. If she gives them all to Thandie, then Thandie will have 200. How many cars does Rachel have?

A standard dice numbered 1 to 6 with opposite sides adding to 7 is placed on a 2 by 2 square as shown. The dice is rolled over one edge onto each of the four base squares in turn and then back onto the original square, as indicated by the arrows. Which side of the dice is now facing upwards?