VTMO 2026 - Grade 2 - Final - SET 3 - Self-study

Xuân is 6 years old, Hạ is 9 and Thu is 8. When Xuân reaches Hạ’s current age, how old will Thu be?

A shop sells pencils at the prices shown: 1 pencil for 3,000 VND, 2 for 5,000 VND, or 5 for 9,000 VND. Pi has 44,000 VND. What is the greatest number of pencils Pi can buy? Purchases of different sizes may be combined.

Thanh’s family leaves for Nha Trang at 10 a.m. on Friday, stays for two nights, and returns home at 6 p.m. on Sunday. How many hours does the trip last?

Hải chooses a number greater than 15 and less than 30. He adds 57, subtracts 37, and then subtracts the number he originally chose. What is the final result?

Half the length of a blue ribbon is 2 cm longer than one-third the length of a yellow ribbon. The yellow ribbon is 6 cm longer than the blue ribbon. How long is the blue ribbon, in centimetres?

Six people are in a room. Each person shakes hands with every other person exactly once. How many handshakes are there?

A belt runs around the five wheels in the directions shown by the arrows. How many wheels rotate clockwise?

A machine processes a natural number repeatedly. If the current number is even, it divides it by 2; if it is odd, it subtracts 1. It stops when it reaches 0. For example, $3\to2\to1\to0$ and $4\to2\to1\to0$ each take 3 steps. How many starting numbers take exactly 6 steps to reach 0?

Find the value of the star using the two equations shown. Each square has the same value, and each star has the same value.

What is the units digit of $(10\times13)+(2\times15)+(4\times9)$?

Find $X$ and $Y$, in that order, in the sequence $1,1,3,6,5,11,7,16,X,Y,11,26$.

Two days before yesterday was Thursday. What day of the week is tomorrow? Give the weekday name.

The digits of the year 2017 have sum $2+0+1+7=10$. How many years from 2000 through 2100, including both endpoints, have digit sum 10?

Bình goes to a shop to buy cakes and candies. His money is exactly enough for 7 packs of cakes, or for 5 packs of cakes and 6 candies. If he buys only candies, what is the greatest number he can buy?

An operation $\otimes$ gives the following results: $3\otimes2=56$, $5\otimes3=815$, $6\otimes1=76$, and $9\otimes4=1336$. Following this pattern, find $4\otimes5$.

Minh stacks four boxes: one yellow, one blue, one red and one purple. The bottom box is not yellow. The purple box is between the yellow and blue boxes. The red box is above the yellow box. What is the position of the blue box, numbering positions 1, 2, 3, 4 from bottom to top?

Tom writes the natural numbers 1 through 15 on the board. Jerry pairs numbers so that one number in each pair is twice the other, for example (1, 2) and (5, 10). Each number can be used in at most one pair. What is the smallest number of numbers left unpaired?

There are 27 small cubes: 26 white and 1 black. How many different $3\times3\times3$ cubes can be built? Two large cubes count as the same if rotating one makes it match the other. Include the case where the black cube is hidden inside. The two examples below represent the same large cube after rotation.

Five students have the three-digit examination numbers shown. Exactly 3 of the five numbers are even. Across all five numbers, each of the digits 1, 2, 4, 5, 9 appears exactly 3 times. What is the greatest possible missing number?

An, Bình and Châu have 48 cards in total. First, An gives Bình and Châu as many cards as each recipient currently has. Then Bình does the same for Châu and An. Finally, Châu does the same for An and Bình. They now have equal numbers of cards. How many cards did An have at first?