Пробний тест в рамках відбору на навчання в Genesis IT School XII

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Цей пробний тест допоможе тобі підготуватися до завдань під час проходження онлайн-тестування.
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По завершенню тестування ти зможеш побачити свій результат.

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From 6:00 AM to 9:00 AM rainfall measured 2.5 inches. At 9:00 AM it increased up to 1.75 inches every two hours. What was the total measure of rainfall by 7:00 PM?

1 point

11.25

14.5

21.5

Clear selection

John is 24 years younger than Oliver. In 10 years Oliver will be three times as old as John. How old will John be in five years?

1 point

Clear selection

A car averages 40 mph during the first 120 miles of a trip and 70 mph during each additional hour. The average speed during the entire trip was 60 mph. How long was the trip?

1 point

Clear selection

A computer store regularly sells all stock at a discount of 30 to 60 percent. If an additional 25% discount was applied during a special sale period, what would be the lowest possible price of a good costing $32 before any discount?

1 point

$4.8

$9.6

$12.8

$17

Clear selection

In May, two buses went round the route with an interval of 24 minutes. What will be the interval between buses if in June there are 6 of them on the route?

1 point

Clear selection

Two kittens catch three mice in two minutes. How many kittens do they need to catch thirty-six mice in eight minutes?

1 point

Clear selection

Two friends set off from their schools at the same time to meet each other, the distance between schools is 8 km. The first goes at a speed of 6 km/h, and the second - 4 km/h. While friends were walking, a fly was continuously flying from one friend’s shoulder to another’s shoulder, it did not linger on the shoulder. How many kilometers did a fly pass if its speed was 10 km/h? Choose the closest answer.

1 point

6 km

7 km

9 km

8 km

Clear selection

In cells of a square 3x3, numbers were written so that the sums of the numbers in each row, in each column and on each diagonal were equal. Some numbers were erased. What is the sum of A, B, and C?

1 point

Clear selection

In the figure, some of the marked points are connected by lines. What is the smallest number of lines still to be drawn so that each marked point is connected to an equal number of lines?

1 point

Clear selection

When Andrii, Olena, Sonya, Dima, Kostya and Maryna met, they shook hands one time with everyone they already knew. Andrii shook hands once, Olena shook hands twice, Sonya – three times, Dima – four times, Kostya shook hands five times. How many times did Marina shake hands?

1 point

Clear selection

Alex spent all his money to buy 70 bottles of Cola in the store ($5 for each one). He sells each bottle at the same but higher price. After selling 50 bottles he had $50 more than before the purchase. How much money will Alex have after selling all the bottles of Cola?

1 point

420

490

560

630

Clear selection

The student has many sticks with the length of 1. The sticks are painted in red, blue, green or yellow color. He wants to lay out a grid of 3 × 3 size, as shown in the picture, so that each square in a 1 × 1 grid had four sides of different colors. What is the minimum number of blue sticks you need to use for this?

1 point

Impossible

Clear selection

Pasha has two cylindrical candles of different heights and diameters. The first candle burns for 7 hours and the second candle – for 10 hours. The boy lit the candles at the same time, and four hours later they became the same height. What was the ratio of their initial heights?

1 point

5:4

3:2

10:7

7:5

Clear selection

When Slavik and Ira compared their savings, they found out, that the ratio of their savings was 6:5. Then Slavik bought a phone for $243 – and the ratio of their savings changed to 3:4. How many dollars did Slavik have before buying the phone?

1 point

522

594

648

720

Clear selection

The train consists of 22 carriages. There are 900 passengers on the train. There are exactly 239 passengers in any block of six consecutive carriages. How many passengers are there in the eleventh and twelfth carriages of the train?

1 point

Clear selection

Several teams of four players participate in a chess tournament. Each player of the team plays exactly once against all players from all other teams. For organizational reasons, no more than 450 games can be played. How many teams can take part in the tournament at most?

1 point

Clear selection

Kostia writes numbers from 1 to 10 in a circles. The numbers in two adjacent circles must have the same sum as the numbers in diametrically opposite circles. The guy has already written down some of the numbers. What number will he write in the circle with the question mark?

1 point

Clear selection

Triathlon is three sports: swimming, running and cycling. The distance for cycling is 4/5 of the total length of the route, for running – 1/7, for swimming – 4 km. What is the total length of the triathlon route

1 point

Clear selection

Nectar is made from juice concentrate and water in a ratio of 1:11. A 2-liter jar is filled with juice concentrate for 2/3 of the jar. What part of this jar will be filled if part of the juice concentrate is used to prepare 3 liters of nectar?

1 point

3/4

11/12

7/6

13/12

Clear selection

What is the first digit of the smallest positive integer, which digits sum is equal to 2020?

1 point

Clear selection

In the square ABCD with side 1 from point A to point D a broken line is drawn, which has three tops on the side BC and four on the side AD (see pic.). What is the smallest possible length of this broken line?

1 point

√ 37

4 +√ 6

5 +√ 2

3 +√ 2

Clear selection

The box has 9 white, 8 green and 7 blue balls. How many ways are there to pull three balls out of the box so that at least two balls among them were the same color?

1 point

1520

1440

1380

1310

Clear selection

Four travelers want to cross the suspension bridge over the gorge. At the same time, no more than two travelers can go over the bridge. If two people pass the bridge, then they move at the speed of the one who goes slower. It is raining heavily and travelers do not want to get wet. The bridge begins and ends with awnings, where the rain is intrepid. Travelers can only move along the bridge with an umbrella; the umbrella is large enough and can accommodate two travelers. What is the shortest time they can cross to the other side if one of them can cross the bridge in 1 minute, the second in 3 minutes, the third in 7 minutes, and the fourth in 13 minutes? They have one umbrella.

1 point

Clear selection

In the figure, some of the marked points are connected by lines. What is the smallest number of lines still to be routed so that at each marked point there is an equal number of lines?

1 point

Clear selection

The picture shows a tower of cubes, top view. Each number indicates the number of cubes placed in the corresponding column. How many cubes do you need to add to this tower to get a 7 × 7 × 7 cube?

1 point

343

215

118

176

Clear selection

From rectangular sheet of paper was cut the template for the box. The picture shows the template of this box. The volume of the box is 120 cm3, and sides of its base are 4 cm and 6 cm. Determine area of the sheet from which the box was cut.

1 point

120

124

256

224

Clear selection

Andrew wrote several consecutive integers (whole numbers). Which of the following options can not be the percentage of even numbers written by Andrew?

1 point

40%

50%

52%

55%

Clear selection

One of the ten numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 11 is written in each of the four vertices and on each of the six edges of the tetrahedron (the number 10 is missing). Each number is used only once. For any two vertices of a tetrahedron, the sum of the two numbers in these vertices is equal to the number on the edge connecting the two vertices. The number 7 is written on the edge AS. What number is written on the edge BC?

1 point

It is impossible to build such a tetrahedron

Clear selection

You have two timers: one measures exactly 28 seconds, the second measures 40 seconds. What is the minimum amount of time you can measure with them?

1 point

12 seconds

4 seconds

7 seconds

28 seconds

Clear selection

After checking the test, the professor noted that if each guy in the group received a score of 3 points higher, the average score in the group would be higher by 3.5 points. What percentage of the group's students are boys?

1 point

Incorrect data

28%

43,75%

56%

Clear selection

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