IKMC 2027 - Grades 3-4 - Self-study SET 12 - Thematic Batch 3

Florian makes a cuboid from three special bricks, each consisting of four cubes. The black and grey bricks are at the front, as shown. What shape is the third brick?

Anita, Clara, Michael and Daniel enter a spicy-noodle eating contest. Whoever eats the most wins. Daniel eats more than Clara, and Michael eats less than Anita. Anita is not the winner. Who eats the most?

Goldsmith has a cube of chocolate with side length 4 cm. He cuts it into small cubes with side length 1 cm. How many small chocolate pieces does he get?

At the weekend, Hiền and her sister play shops with homemade money. Instead of writing amounts on blank paper, they use colourful number stickers. Hiền finds four stickers showing 1,3,4 and 5. Placing 1 before 3 makes a 13-đồng note, as illustrated. How should she place these stickers on two pieces of paper to obtain the greatest total amount, using at most two digits on each note?

Alice writes a correct calculation on the board, then covers the identical digits with tape. What is the hidden digit?

The picture shows a bicycle drive consisting of a chainring, chain, rear sprocket and wheel. The chainring has 30 teeth and is connected by the chain to a rear sprocket with 10 teeth. The chainring is fixed to the pedal axle, and the sprocket shares the wheel axle. If An turns the pedals nine times, how many times does the wheel turn?

During a day, the digit 5 appears many times on a digital clock. What is the longest continuous time for which a 5 remains visible somewhere on the display?

Hedehog the hedgehog complains to a friend: “If I had collected twice as many apples as I did, I would now have 24 more than I have.” How many apples did Hedehog collect?

After the year 2012, how many other years can be written using exactly the same four digits?

A kangaroo stands in the 4 × 4 grid shown. Each move goes to an edge-adjacent square. Where does it finish after moving right, up, left, down and right, in that order?

Josip has a puzzle. To make a heart for his mother, he removes some purple and orange pieces as shown. How many purple pieces does he remove?

Mother’s birthday is on Sunday. Father’s birthday is 55 days after Mother’s. On which day of the week is Father’s birthday?

Alex has a card with one white side and one decorated side. Flipping it over its right edge gives the result shown. What result is obtained by instead flipping it over its top edge?

Maria, Narci and their classmates stand in a line, with seven other students between Maria and Narci. There are 16 students behind Maria, including Narci, and 14 in front of Narci. How many students are in the class?

Using two copies of the piece , how many of the figures below can be assembled?

Editorial task: distinguish rotating from turning a piece over. Test the source count under both rules and justify your result with placements.



Original source options (retained):
(A) 0; (B) 1; (C) 2; (D) 3; (E) 4

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

Nick writes each number from 1 to 9 once in the squares of a 3 × 3 grid. The four corner numbers are visible. The numbers in squares sharing an edge with 5 sum to 13, and the numbers in squares sharing an edge with 6 also sum to 13. Which number is in the grey square?

Anna cuts a 30 × 20 cm rectangle into eight smaller rectangles as shown. She uses them to make the longest possible straight strip. How long is the strip in metres?

Editorial task: identify the unit conflict between the sentence and diagram, calculate both readings, and explain the source’s intended answer.



Original source options (retained):
(A) 80 metres; (B) 100 metres; (C) 120 metres; (D) 130 metres; (E) 300 metres

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

Ann tears double sheets from a magazine until the left page is numbered 8 and the right page 21, as shown. How many pages did the magazine originally have?

The numbers 1,2,3,4 and 5 are represented by the five symbols below, not necessarily in that order. The illustrated equations hold. Which symbol represents 3?

There are four flowers in the garden: red, blue, yellow and white. Maja the bee visits each exactly once. She starts at red and does not want to fly directly from yellow to white. How many routes can she take?