VTMO 2026 - Grade 4 - Semifinal - SET 9 - Self-study

A mother shares 20 sweets among her three children. Each child receives a different number, and the youngest receives the most. What is the smallest possible number of sweets the youngest receives?

An and Bình each buy the same toy for the same price. An pays with equal numbers of 1-dollar and 5-dollar notes. Bình pays with equal numbers of 1-dollar, 2-dollar and 5-dollar notes. An uses 10 fewer notes than Bình. How many notes does An use?

A year has four quarters, consisting of months (1, 2, 3), (4, 5, 6), (7, 8, 9) and (10, 11, 12). In a certain year, exactly one quarter has equal numbers of Mondays, Tuesdays, Wednesdays, Thursdays, Fridays, Saturdays and Sundays. What weekday is the first day of that quarter, given that 8 January is a Sunday?

Initially, Anh has as many cards as Bình and Châu together. In each round of giving cards to Duy, Anh gives 7 cards, Bình gives 1 and Châu gives 3. After 12 rounds, the three have equal numbers of cards left. How many cards does Anh have left?

Việt and Nam have 50 cards altogether. After they exchange cards with each other, Việt has 4 more cards than Nam. How many cards does Việt then have?

Khang plays darts with red and yellow balloons. Each red hit scores 5 points and each yellow hit scores 7 points. Which score below is impossible?

A mother is 47 years old now. In 3 years, she will be twice her child’s age. How old is the child now?

The fraction $\frac{21}{22}$ is split as $\frac ab+\frac cd$, where $\frac ab$, $\frac cd$ and $\frac bd$ are all in lowest terms and $a,b,c,d$ are nonzero. Practice clarification: take $a,b,c,d$ to be positive integers. How many different splits are there? Reversing the two terms counts as the same split; for example, $\frac{21}{22}=\frac12+\frac5{11}=\frac5{11}+\frac12$ counts once.

A motorcyclist travels 28 km in 30 minutes at a constant speed. What is his speed in kilometres per hour?

The four balances below are level. On balance 4, the left pan holds 10 white circles and 4 white squares. How many black squares are needed on the right pan?

Three years ago, the total age of a mother and her two children was 40. Bon is 3 years older than Bin, and Bin is 5 now. How old is the mother now?

Let A be the largest odd four-digit number with four different digits. What is the sum of A’s digits?

A container full of water weighs 13 kg. The same container holding half that amount of water weighs 7 kg. How many kilograms does the empty container weigh?

An’s afternoon class begins at 12:45. The lesson lasts 75 minutes, followed by a 15-minute break. At what time does the break begin?

Choose the figure whose shaded area is half of its total area.

Dates are written day/month/year: for example, 12 January 2020 is 12/01/2020. A date is “super even” if its day number, month number and year are all even. Examples are 14/02/2020 and 20/10/2020. How many super-even dates are there in 2020?

Five consecutive natural numbers have sum 2015. What is the largest of them?

What is the perimeter of the figure below?

Place 4, 5, 9, 10, 17 and 22 in the six circles, using each number once, so that the four corner numbers of each square sum to 40. What is the sum in the two shaded circles?

Nam gives Bình, Châu and Giang respectively $\frac13$, $\frac14$ and $\frac15$ of his original money. He then has 156 thousand đồng left. How much money did he have initially, in thousands of đồng?