Question bank MYTS 2016

Flowers are arranged in a pattern: row 1 has 1 flower, row 2 has 3, row 3 has 5, and row 4 has 7. How many flowers are in row 25?

After three mathematics tests, Andy has an average score of 13. After the fourth test, his average is 14. What is his score on the fourth test?

The figure has area $336\text{ cm}^2$ and consists of 21 small squares. An ant follows the bold arrowed path of length $\ell$ cm. Find $\ell$.

At a conference, one quarter of the participants occupy two thirds of the chairs. The other participants stand. If 3 chairs are empty, how many people are standing?

Vinh arranges fish and bird pictures in a table with 6 rows and 22 columns as shown, with one third as many birds as fish. How many fish pictures are there?

In a city, 94% of children in the age group due for measles vaccination have been vaccinated. If 24 children in this age group have not been vaccinated, how many children are in the age group?

Seven circular cards numbered 1 to 7 are placed overlapping on a table as shown. Which card has the greatest contact with the tabletop?

On 15/03/2016, Vu notices that the sum of the first four digits equals the sum of the last four digits. What is the last date in that year with this property? Write it in the same format.

Tom writes the consecutive integers 1316,1317,...,1382,1383. Jerry circles every number divisible by 5. How many numbers are circled?

A rectangular sheet is divided into nine cells as shown. What is the minimum number of colors needed to color every cell so adjacent cells have different colors?

The even positive integers 2,4,6,8,...,2016 fill the five-column table shown, leaving one blank cell after every three filled cells. Which column contains 2016?

An ant crawls on a cube along the marked path from A to B. If the cube has total surface area 96 cm², how many centimeters does the ant travel?

The diagram shows 24 pigeons, one per occupied cell. What is the minimum number of pigeons that must move to other empty cells, not necessarily neighboring ones, so every row and every column contains the same number?

Nine cubes are joined as shown. The surface of the resulting solid is painted. What is its surface area in cm² if every cube has edge length 2 cm?

The equilateral triangle is made of 25 congruent small equilateral triangles, each of area 3 cm². Find the area of the shaded triangle in cm².

Each figure below is made from identical matchsticks. What is the minimum number of matchsticks needed for figure 25, following the same pattern?

Dung places all his marbles into seven boxes in a row, at least two per box. The product of the marble counts in any three consecutive boxes is 60. If the second box has 4 marbles, what is the greatest possible total?

Points E, F lie on side AB of a rectangle with AE=FB=5 cm. If AD=4 cm and triangle DEF has one third of the rectangle’s area, find EF in centimeters.

The Olympic flag shows five circles intersecting at eight points. If the circles are moved so no two coincide, what is the maximum number of intersection points?

A bag contains 25 marbles in three colors: blue, red, yellow. Drawing 21 without looking is necessary to guarantee all three colors. What is the greatest possible number of yellow marbles?