VTMO 2026 - Grade 3 - Final - SET 8 - Self-study

In the column subtraction shown, find $A+B$.

This chart shows the favourite colours of 40 pupils in class IQ. Each pupil chooses exactly one colour. The bars are labelled Yellow, Blue, Black and Red from left to right. How many pupils choose red?

Use the digits 1,2,3,4,5,6 exactly once to form two three-digit numbers with the greatest possible sum. What is that sum?

How many two-digit numbers have a units digit that is not smaller than their tens digit?

Twelve cards are numbered 1 to 12. Việt, Nam, Hạnh and Phúc take all the cards between them and each adds the numbers on their own cards. Their four totals are consecutive whole numbers, with Phúc’s total the largest. What is Phúc’s total?

Observe the pattern in the triangles. Find $X$.

Việt asks Nam what time it is. Nam replies, “The time from 8 a.m. to now is one third of the time from now to 8 p.m.” What time is it?

For example, $16=1+3+5+7$ is a sum of four consecutive odd numbers. Which number below cannot be written as a sum of four consecutive odd numbers?

In the table, each letter represents a number. The rightmost number is the sum of the three letters in that row. Each number along the bottom is the sum of the three letters in that column. Find $T×M×O$.

Việt assembles 64 identical small cubes into a $4×4×4$ cube, paints its entire outside, then separates the cubes. He repeats this process, freely moving and rotating the same cubes when reassembling. After the two rounds, what is the greatest possible number of small cubes with exactly three painted faces?

October has five Saturdays, and its last day is a Saturday. What day of the week is October 20?

How many squares formed by the grid lines contain the letter A?

Hạnh writes three numbers. All are two-digit odd numbers not divisible by 3. The smallest has two equal digits. The sum of the other two is the day of the month on which Hạnh was born. What is the sum of the three numbers?

Clarification for this version: assume the three numbers are distinct. Give the sum under this assumption.

Bình finishes reading a book in four days. The chart shows how many pages he reads each day, but its fourth-day section is torn. The bars are labelled day 1, day 2, day 3 and day 4 from left to right; the vertical axis is the number of pages. On the first day he reads one quarter of the book. How many pages does he read on day 4?

Chart-reading guide: the visible bars for days 1, 2 and 3 reach 45, 50 and 40 pages respectively.

The day before yesterday was Sunday. How many days from today until the next Sunday? For example, from Monday to Wednesday counts as two days.

In a certain year, February has five Sundays. What day of the week is January 13 of that year?

In an addition tower, each number is the sum of the two numbers directly below it, as in the example. Hùng puts the numbers 1,2,3,4,5,6, each once, in the bottom row of a six-level tower. What is the largest possible number at the top?

Khánh has 30 stickers of different sizes. Chi visits and takes 10 stickers. The next day she asks for 5 more Pokémon stickers and gives Khánh some other stickers. Khánh then has twice as many stickers as at the start. How many stickers did Chi give him?

After a test, An says, “If I score 10, Bình also scores 10.” Bình says, “If I score 10, Châu also scores 10.” Châu says, “If I score 10, Dũng also scores 10.” All three statements are true, and exactly two of the four pupils score 10. Who are they?

For the original answer code, An, Bình, Châu and Dũng correspond to 1,2,3,4. Write the two numbers in increasing order with leading zeros: An and Bình give 0012; Dũng and Bình give 0024, not 0042. You may give the names or the code.

Different letters C,A,R,T stand for different digits in the addition shown. T is 0 and A is odd. Find C.