VTMO 2026 - Grade 4 - Final - SET 2 - Self-study

How many of the five figures have exactly $\frac13$ of their area shaded? Practice assumption: in the third figure, the three horizontal bands have equal height.

Ten coins lie tails up. In round 1, one coin is flipped; in round 2, three coins; in round 3, five coins; and in round 4, seven coins. At the end, all ten coins are heads up. What is the greatest possible number of coins that were flipped exactly three times? Explain your reasoning.

An, Bình and Châu have 29 candies in total. An has three times as many candies as Bình. Châu has 4 more than Bình. How many candies does Châu have?

Insert the four operations $+,-,\times,\div$ into the four boxes of $A=20\square12\square15\square24\square18$, using each operation exactly once. What is the largest possible natural-number value of A? Use the usual order of operations.

Hoàng is thinking of a three-digit number less than 200. It is divisible by 11 and its digit sum is 12. What is the number?

An, Bình and Châu have 135 cards altogether. An has three times as many cards as Bình, and Bình has twice as many as Châu. How many more cards does An have than Châu? Explain your reasoning.

A box is described as containing “4 balls” labelled 1, 4, 7, 10, 13. Dũng draws two balls without looking. How many different sums of the two labels can he obtain?

Clarifying assumption: the stated count conflicts with the five listed labels. For this exercise, use one ball for each listed label, so there are five balls.

Find suitable values of a and b in the triangle pattern shown.

Đào and Hằng start with the same number of candies. Each day Đào eats 6 and Hằng eats 4. After some days, Đào has 6 candies left and Hằng has 14. How many candies did each have at first?

Pi has five tests in the first semester. His first three scores are 85, 92 and 87. What is the lowest possible score on one of his remaining two tests if his average over all five tests is 90? Each test has a maximum score of 100. Explain your reasoning.

An has three clocks A, B and C. Clock A gains 30 seconds per hour relative to clock B. Clock B loses 30 seconds per hour relative to clock C. At 8 a.m. all three are reset to 8 a.m. When clock C shows noon, what does clock A show? Give hours, minutes and seconds.

Rate interpretation: “per hour relative to” refers to one hour elapsed on the named comparison clock.

Five boxes arrive at a warehouse and are stacked in arrival order, with each later box on top of the earlier boxes still present. Each employee takes the top box at their collection time. Arrival times: box 1 at 13:45, box 2 at 14:20, box 3 at 15:00, box 4 at 15:32, box 5 at 16:24. Collection times: An at 14:25, Bình at 15:40, Châu at 16:15, Việt at 16:43, Nam at 16:52. Who receives box 3? Enter 0001 for An, 0002 for Bình, 0003 for Châu, 0004 for Việt, or 0005 for Nam.

Yesterday An had equal numbers of 1-thousand, 2-thousand, 5-thousand and 10-thousand đồng banknotes. Today his mother gives him two more banknotes, each of one of those four denominations. His savings now total 150 thousand đồng. How many thousand đồng did his mother give him?