IKMC 2027 - Grades 3-4 - Self-study SET 3 - Thematic Batch 3

Tom puts the numbers 6, 7, 8 and 9 into the four boxes in the diagram, using each number in exactly one box.
What is the greatest result he can obtain?

A safe’s opening code is a three-digit number with three different digits. How many opening codes can be made using exactly the three digits 1, 3 and 5?

The figures below show the numbers 1 to 4 together with the mirror image of each number.
Which of the following is the next figure in the sequence?

The wizarding Weasley family has seven children: Bill, Charlie, Percy, Fred, Geogre, Ron and Ginny. Ginny is celebrating her birthday with her parents and six older brothers. The seven children’s ages add up to 109 years. The ages of Fred, Geogre, Percy, Charlie and Bill add up to 86 years. Ron is 1 year older than Ginny.
1. – Using the total ages of all seven children and of Fred, Geogre, Percy, Charlie and Bill, find the combined ages of Ginny and Ron.
– Then find Ginny’s age.
2. Charlie has an exciting job training dragons. Ginny would love to do it, but she must wait until she is as old as Charlie is now. In how many years will Ginny be allowed to train dragons? Charlie is 6 years older than Fred, and Charlie’s present age is 10/7 of Fred’s present age.
3. Bill is the eldest child. He often tells Ginny about his work breaking Egyptian curses. Ginny loves these stories, but she must wait until she is as old as Bill is now before she may go to Egypt. In how many years can Ginny go to Egypt? Bill and Percy’s ages add up to 38 years, and Bill’s present age is 11/8 of Percy’s.

Kanga enters a house in the direction of the arrow, as shown.
Kanga moves from room to room so that the number in each new room is greater than the number in the room just left. Through which door will Kanga leave?

Daniel needs to collect 4 buckets of water. Each time he goes to the river, he fills one bucket and runs home. However, he spills half the water on the way. How many trips to the river does he need to bring home 4 full buckets of water?

Two years ago, Tony and Tiny’s ages added up to 15 years. Tony is now 13 years old. In how many years will Tiny be 9?

Which tile should be placed at the question mark so that the grey area is exactly equal to the black area?

What time in the afternoon does the clock below show?

Karin finds an old book with some pages missing from the middle. The page on the left is numbered 24, while the page on the right is numbered 45. How many pages are missing?

Max, Peter and Anna each have a fruit garden. Peter grows strawberries , Anna grows apples , and Max grows oranges . Peter wants to exchange strawberries for oranges and apples. The exchange rates are shown below.
What is the smallest number of strawberries Peter needs to obtain 3 apples and 2 oranges?

From her window, Karla sees a rectangular flag on the wall of the neighbouring house.
A gust of wind folds the flag. Which picture below cannot show the folded flag?

A number is written in each unit square of a 2 × 2 grid. The numbers in the first row add up to 3, and the numbers in the second row add up to 8. If the numbers in the first column add up to 4, what is the sum of the numbers in the second row?

Each shape below represents a different number. The sum of the three numbers in each row is written to the right.
What number does the star represent?

Kanga the kangaroo is 7 weeks and 2 days old. How many more days will it be until Kanga is exactly 8 weeks old?

Find the number that should be written in the empty train carriage.

Alina enters and leaves the maze below in the directions of the arrows.
If she takes the shortest route, what is the sum of the numbers she passes?

Which number can be put in the box containing the question mark so that all the calculations are correct?

Which of the following figures has the greatest area?

Six coins are arranged in a triangle. You must move some of them to make the ring shown below.
What is the smallest number of coins you must move?