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International UAS Exam, mathematical skills sample questions without images

In this section, you can choose how you want to view mathematical notation. In the screen reader version, mathematical notation is presented in Luetus format (a format that can be read by screen reader software). In the visual version, mathematical notation is presented in the same way as in the standard exam with images. You can use the checkbox below to switch between the two versions.

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Instructions for applicants

Read the questions carefully and select the answer that you think is correct. There is only one correct answer in each question.

Decimals are written with a decimal point, for example: 1.5.

You can try out the exam system’s built-in calculator, which you can open by clicking the 'Calculator' button (or by using the keyboard shortcut Shift + Alt + L or Cmd + Shift + L). Hide the calculator by clicking the 'X' icon (or by using the keyboard shortcut Shift + Alt + L or Cmd + Shift + L). Hiding the calculator does not erase the calculation displayed on the screen.

The exam system’s built-in calculator is not fully accessible with screen reader software. You may use, for example, the calculator integrated into your computer's operating system.

Symbols used in the questions:

* multiplication sign

% percent sign

€ euro sign

: ratio symbol, for example 1 :2 (one to two)

+ plus

− minus

/ division sign

= equals to

Decimals are written with a decimal point, for example: 1.5.

Sample question 1

Leon is six years older than his sister Anna. The age of their mother is four times the age of Anna. If the age of Leon is denoted by x, how should we denote the age of their mother?

Sample question 2

Eeva left for school at 7:53 and arrived there at 8:05. In the afternoon, she left for home at 14:23, stopped on the way to play with her friends, and was back home again at 15:11.

How much longer did the trip home from school take compared to the trip to school?

Sample question 3

A board is 450 centimetres long. It must be cut into three pieces in the ratio 1:2:61 :2 :6.

What is the difference in length between the shortest and the longest pieces?

Sample question 4

Numbers are placed at the vertices of four identical triangles. The first three triangles also contain numbers inside them. The numbers are as follows:

First triangle:

  • top vertex: 3

  • left bottom vertex: 7

  • right bottom vertex: 16

  • inside the triangle: 20

Second triangle:

  • top vertex: 6

  • left bottom vertex: 18

  • right bottom vertex: 8

  • inside the triangle: 20

Third triangle:

  • top vertex: 8

  • left bottom vertex: 11

  • right bottom vertex: 6

  • inside the triangle: 9

Fourth triangle:

  • top vertex: 4

  • left bottom vertex: 12

  • right bottom vertex: 9

  • inside the triangle: no number

The number inside the triangle is determined based on the numbers at its vertices. What number should be placed in the centre of the fourth triangle?

Sample question 5

The parking fee in Zone A is 4 euros per hour, whereas in Zone B the fee is 3 euros per hour. Which of the following is correct?

Sample question 6

A specialist earns a basic salary plus a 3% pay rise. The total salary including the pay rise is 3578 €/month.

What is the correct way to calculate the monthly basic salary without the pay rise?

Sample question 7

On the traffic sign warning of a steep ascent, the percent figure 8% describes the steepness of the hill (i.e. there is a rise of 8 cm for each metre).

What is the percent of slope (the steepness of the hill) if there is a rise of 72 metres in 600 metres?

Sample question 8

Kevin, Philip and Anna were out skiing. Philip skied three kilometers more than Kevin. Anna skied one kilometre less than Kevin. Altogether they skied 23 kilometres.

How much did Anna ski?