Question bank MYTS

3263 pens must be packed into boxes. Each box holds at most 8 pens. What is the minimum number of boxes needed?

The figure consists of six small squares. How many paths from $A$ to $C$, along the edges of the squares, avoid $B$ and have length five times the side length of a small square?

Mother buys 2 kilograms of oranges, half a kilogram of apples and 7 cartons of milk for a total of 150 thousand đồng. Oranges cost 35 thousand đồng per kilogram and apples cost 48 thousand đồng per kilogram. How many thousand đồng does one carton of milk cost?

How many squares are there in the figure?

My and Ly live on the same side of a street where the houses are numbered with consecutive even numbers. My lives at number 10 and Ly at number 90. Each house whose number is a multiple of ten has one milkwood tree in front; every other house has one red maple tree. How many red maple trees are there from My’s house to Ly’s house?

2 September 2019 was a Monday. On what day of the week was 10 October 2019?

A class has twice as many boys as girls. The number of girls plus half the number of boys is 30. How many pupils are there in the class?

After a piece is removed from Minh’s Rubik’s cube, the following part remains:



Which of the following is the removed piece?

Lan is currently twice as old as Nam, but only one fifth as old as their mother. Lan was 3 years old when their mother gave birth to Nam. How old is their mother now?

At a flag-raising ceremony, Hà and Dương stand in one line with 29 other classmates. There are five times as many pupils behind Hà as in front of Hà. There are twice as many pupils in front of Dương as behind Dương. How many pupils stand between Hà and Dương?

In a garden there are three friends: a fish, a fox and a parrot. Their names are Pa, Pi and Pu, and they come from Europe, Asia and Africa. Pu cannot fly. The fish comes from Asia. Pi comes from Europe and cannot fly. Which continent does Pa come from?

Thái has two fence panels of length 5 metres, three of length 3 metres, and five of length 2 metres. What is the greatest perimeter of a rectangular plot that Thái can enclose using these panels? (The fences form the sides of the plot; panels may not be cut or bent.)

Lâm has 20 blue marbles and Vỹ has 19 red marbles. Lâm exchanges his blue marbles for Vỹ’s red marbles at a rate of 2 blue marbles for 1 red marble. After several exchanges, Lâm has 15 marbles in total. How many red marbles does Vỹ then have?

Hà has four stickers numbered 1, 2, 3 and 4 as shown below.



Hà places sticker 3 on sticker 4, then sticker 2 on sticker 3, and finally sticker 1 on sticker 2, aligning the squares marked $X$ and $Y$ on all four stickers exactly. Which of the following figures is obtained?

The subtraction $\overline{MYTS}-\overline{HTH}$ equals 93. The letters $M,Y,T,S,H$ represent distinct digits. What is the smallest possible value of $M+Y+T+S$?

A rectangular field has perimeter 42 metres. If its length is reduced by 5 metres, its area decreases by 30 square metres. Find the area of the original field. (Enter the number of square metres.)

A box contains blue, red and yellow marbles. The number of red marbles is half the number of blue marbles and twice the number of yellow marbles. There are 48 more blue marbles than red marbles. How many marbles are there altogether?

From Châu’s birthday last year through the last day of that year, her mother gave her one blue paper crane every morning. This year, her mother has given her one red paper crane every morning. On the evening of February 27, Châu finds that she has equal numbers of red and blue cranes. On what date is her birthday?

Show how to pack 10 bags of rice and 10 bags of corn into four empty containers so that no container holds more than 20 kg. Each bag of rice weighs 5 kg and each bag of corn weighs 3 kg.

A box contains nine cards bearing the numbers 11, 20, 25, 27, 42, 45, 49, 54, 58. Bắc, Trung and Nam take turns, in some order, removing cards according to these rules:

- Bắc takes every even-numbered card still in the box when it is his turn.
- Trung takes every odd-numbered card still in the box when it is his turn.
- Nam takes every card whose digit sum is even, still in the box when it is his turn.

Afterward each friend has at least one card, and their numbers of cards are all different. Who took cards first? Explain why.