IKMC 2027 - Grades 3-4 - Self-study SET 22 - Thematic Batch 3

For each of Basil’s friends, the day number plus the month number of their birthday equals 35. No two friends have the same birthday. What is the greatest possible number of friends?

Five kangaroos are drawn on the bottom of a box, as shown on the left. Martin places the piece shown on the right inside the box so that exactly one kangaroo remains visible. He may rotate the piece but may not turn it over. Which picture shows the result?

How many grams does the circle weigh?

Helena writes the word KANGAROO seven times on a sheet of paper. How many times does she write the letter A?

Lili folds a square sheet of paper and punches one circular hole through it. On unfolding the sheet, she gets the picture below. How did she fold the paper?

Two basketball teams play until one team has won four games. There are no draws. What is the greatest possible number of games?

Earth takes 86164 seconds to rotate once about its axis. This equals:

Which picture cannot be formed by joining four tiles of the form ?

Jenny, Kitty, Susan and Helen have birthdays on March 1, May 17, June 20 and March 20, in some order. Kitty and Susan were born in the same month, while Jenny and Susan share the same day number. Who was born on May 17?

What is the value of the expression below?
0 + 1 + 2 + 3 + 4 + 5 + 6 − 5 − 4 − 3 − 2 − 1 − 0

Mị’s family has the water-powered rice pounder shown. Flowing water turns the waterwheel, which turns the wheel operating her mother’s pestle. Mị enjoys watching them and notices a rule. She asks Pao, “When the waterwheel makes five revolutions, how many revolutions does the other wheel make?” Pao answers correctly. Which answer does he give?

Thomas builds the table shown from small cubes. How many small cubes does he use?

Julia colours cells A 2, B 1, B 2, B 3, B 4, C 3, D 3 and D 4 in the grid below. Which picture does she obtain?

At 20:15, Anna sets her alarm to ring 10 hours 20 minutes later. The next morning she wakes 40 minutes before the alarm. At what time does she wake?

Which number cannot be the total from four throws of a die, if all four throws show different numbers of dots?

In the figure, AC is 10 cm, BD is 15 cm and AD is 22 cm. Find the length BC.

Editorial note: the given lengths use centimetres, while the original options use metres. Calculate BC and explain this inconsistency. Manual scoring.



Original source options (retained):
(A) 1 m; (B) 2 m; (C) 3 m; (D) 4 m; (E) 5 m

Editorial format note: this essay examines the source wording and its assumptions. The original choices are retained for comparison.

In a darts game, a player throws two darts at the scoring board. The example shown scores 5 points. If Jane’s two darts both hit the board, how many different total scores can she get?

The sheet of paper below is folded along the black line. Which letter will not touch a grey square?

A mother caterpillar carries her child across a leaf. The two parts of the mother’s body touching the leaf are equally long, and their combined length equals the length of the part not touching the leaf. The child is as long as one touching part. If their total length is 10 cm, how long are the mother and child, respectively?

A basketball team makes 72 attempts to score. A successful attempt scores 1,2 or 3 points. The team finishes with 99 points, including thirty 2-point shots, twelve 1-point shots and some 3-point shots. How many attempts miss?