IKMC 2027 - Grades 3-4 - Self-study SET 13 - Thematic Batch 3

What is the value of the expression below?
2 × 3 + 2 × 7 + 2 × 15 + 2 × 25 − 2 × 40

Engineer Mark designs the gear system shown to water the plants. When a bucket moves down, it waters the plant directly below it. If the black gear turns in the indicated direction, which plants are watered?

How many triangles are in the figure below?

Adam has as much money as Bill and Charlie together. Bill has 10 đồng more than Charlie. Together the three have exactly 40 đồng. How much does Charlie have?

A lesson lasts 45 minutes. Peter takes exactly 6 minutes to solve any problem, but needs a 1-minute rest after solving each one. How many problems can he finish during the lesson?

In this Sudoku, each of the numbers 1,2,3,4 appears exactly once in every row and column. William first calculates the expressions shown, then fills the empty cells. What number goes in the blue cell?

Sue was born on 5 January 1998 and Robert on 15 December 1987. Which statement below is true?

Editorial task: check every original statement and explain whether the source has a unique correct choice.



Original source options (retained):
(A) Sue is 11 years older than Robert; (B) On 5 January 2004 Sue is 6 years old; (C) On 5 January 2004 Robert is 16 years old; (D) When Sue was born Robert was already 11; (E) None of the statements is true

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

Which picture has hearts making up exactly three quarters of all its shapes?

A turkey enters a shop in a strange land with many mirrors in sequence. It looks in one mirror; that image is reflected in another, and so on. The dashed lines show mirror edges and the images in the first three mirrors. What will the turkey’s image look like in the green mirror?

Segments numbered 1,2,3,4,…,8 are shown below. Anne cuts along some of them and folds the paper to obtain the figure on the right. What is the sum of the numbers on the cut segments?

A plate has the pattern shown. Which option shows the pattern at the centre of the plate?

Adam and Harry collect stamps. When they have equal numbers, Adam gives Harry half of his own stamps. How many times as many stamps does Harry then have as Adam?

Loes wants to put the numbers 1 to 7 into the empty cells shown. Consecutive numbers cannot occupy neighbouring cells. Cells sharing a corner or an edge are neighbours. Which number must go in the cell marked with a question mark?

Evaluate 4 × 4 + 4 + 4 + 4 + 4 + 4 × 4.

Fold the paper net into a cube. Which cube below can be obtained?

The first three figures of a regular sequence are shown. How many black diamonds are in the sixth figure?

Kiên folds a circular sheet in half three times and makes the cuts shown. What shape appears when he unfolds the paper?

More than 2500 years before the Common Era, the following symbols were used:
• represents 1 unit.
• represents 10 units.
• represents 60 units.
For example, represents 22. Which sequence below represents 124?

Three machines string together butterfly, flower, moon and pearl beads. Each machine takes one bead at a time from its funnels, from left to right, repeating until the funnels are empty. Machines 1 and 2 start together, with three beads in each funnel. Their two finished strings are then fed into machine 3 as shown. What is the seventh bead in the final string?

How many children are in Jone’s family if each child has at least one brother and at least one sister?

Editorial task: determine what the condition actually forces. Prove the minimum and test whether the exact total is determined.



Original source options (retained):
(A) 2; (B) 3; (C) 4; (D) 5; (E) 6

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