IKMC 2027 - Grades 3-4 - Self-study SET 11 - Thematic Batch 3

A sports competition is being organised at a swimming pool. At first 13 students register, then another 19 register. The competition needs six teams with the same number of members. What is the least number of additional students who must register so that everyone can be divided into six equal teams?

Mai wants to colour the small squares in the figure so that no two squares sharing an edge have the same colour. What is the smallest number of colours she needs?

Lucas writes numbers in the figure below so that each number is the sum of the two numbers directly below it. Which number is written in the top box?

Paula throws darts at the board shown. Each hit adds the number written in the region hit; a miss adds no points. Which score below cannot be obtained with exactly two darts?

Which of the following can be the total number of days in ten consecutive years?

A clock that is 25 minutes slow shows 7:40. Beside it is a clock that is 15 minutes fast. What time does the second clock show?

Gero is practising addition and subtraction on a blackboard. His younger brother erases all the operation signs. How should Gero insert plus and minus signs to make the calculation correct?

Two baskets contain 120 apples altogether. After 28 apples are removed from one basket, the baskets contain equal numbers. How many apples were originally in each basket?

Each of five children has one square sheet, one circular sheet and one triangular sheet. They stack them as shown. How many children put the triangle above the square?

To name a baby in the kangaroo family, one consonant and one vowel from KANGAROO are used to make a two-letter word. How many different names can be made? The vowels are U, E, O, A, I; the other letters of the alphabet are consonants.

A glass full of water weighs 400 grams, while an empty glass weighs 100 grams. How much does the glass weigh when it contains half as much water?

Chũn has the letter cards shown below.
First, Chũn folds O in half and opens it. A crease divides O into two identical parts that coincide when folded together. There are two ways to fold it, as shown.
Chũn then folds it in half a second time; the two parts still coincide. A third fold no longer gives coincident parts.
1. Among Chũn’s cards:
– Which letters can be folded in half once, vertically or horizontally, with the two parts coinciding?
– Which can be folded in half twice with coincident parts?
– Which can be folded in half three times with coincident parts?
2. A fold line dividing a letter into two coincident parts is called an axis of symmetry. The two axes of O are drawn in red.
Among the cards shown:
– Which letters have an axis of symmetry?
– Which have the greatest number of axes? How many does each have? Identify those axes.

Figure labels: First fold, method 1 vertical and method 2 horizontal; second fold, method 1 horizontal and method 2 vertical.

A white pig and a black pig weigh 320 kilograms altogether. The black pig is 32 kilograms heavier than the white pig. How much does the white pig weigh?

Kanga needs two pieces to fill the missing black region in the figure. Which pieces are they?

The photograph below shows the front of Ann’s house. The back has three windows and no door. Which picture could show the back?

The picture below has a missing tile. Which tile is missing?

How many unit squares in the figure can be coloured so that no 2 × 2 square is completely coloured?

David wants to cook five dishes using exactly two burners. The cooking times are 40,15,35,10 and 45 minutes respectively. What is the shortest time needed to finish them all?

How many star symbols * are in the figure below?

Daniel has unit cubes. He places some in a cubical aquarium with side length 3 units, as shown. What is the greatest number of additional cubes he can put in the aquarium?