Free Sample Questions for the Paper-based TestAS Core Test

First, calculate how many litres of petrol were used in the first hour:
60 × 0.15 = 9 litres

Then, calculate the consumption for four hours of driving:
9 × 4 = 36 litres

So the correct answer is: 36 litres.

The correct answer is 2 mg.

If you divide the two almond quantities by 20, you get the ratio between the daily portion and 100 g:

100 ÷ 20 = 5
40 ÷ 20 = 2

This gives the ratio 5:2.

To calculate the zinc content of the daily portion, you need to find 2/5 of the zinc content in 100 g of almonds.

Since 100 g contains 5 mg of zinc, divide 5 mg by 5 to get 1 mg, then multiply by 2:

5 ÷ 5 = 1
1 × 2 = 2

So the correct daily zinc intake is 2 mg.

The correct answer is: 7.5 km/h.

If Kaspar's morning jog and walk take a total of 75 minutes and he spends 30 minutes jogging, then the return walk takes 75 − 30 = 45 minutes, which is 0.75 hours.

If he walks back at a speed of 5 km/h, he will cover this distance:

5 km/h × 0.75 h = 3.75 km

This means that Kaspar jogs the same distance: 3.75 km.

If he covers 3.75 km in 30 minutes (0.5 h), then his jogging speed is:

3.75 km ÷ 0.5 h = 7.5 km/h

So his jogging speed is 7.5 km/h.

In this task, you are asked to complete analogies. That means the two words to the left of the »=« sign must have the same relationship to each other as the two words to the right of the »=« sign.

The correct answer is: »night – assistant doctor«. If you place these two words in the analogy, both pairs follow the same pattern: the first word describes a final state, and the second word describes a state that comes directly before it. Just as night follows dusk, a doctor was likely an assistant doctor before.

The option »day – student« may also seem plausible at first glance, since dusk follows day and doctor follows student. However, these two word pairs are not logically equivalent. In the first pair (day : dusk), there is a chronological sequence where the second word comes after the first. In the second pair (doctor : student), it is the other way around: the second word (student) comes before the first (doctor).

The correct answer is: »winter – season«.

Both word pairs show a part-to-whole relationship. A fork is one item in the category cutlery, just as winter is one part of the category season (i.e. one of the four seasons).

In both cases, a single item belongs to a larger group – therefore, the relationship is analogous.

The correct solution is: »minister – civil servant«.

A teacher holds a position of authority over a student and gives instructions that must be followed. Similarly, a minister is the superior of civil servants within a ministry and gives instructions that they must obey.

In both cases, there is a clear hierarchical relationship of power and obligation — this is what makes the analogy logically correct.

The correct answer is the third option.

There are 1 to 3 rules per task in this test section that guide the change between the elements of the 3×3 grid. In this example, there are actually 3 rules, all of which are only applied to the rows of the grid (i.e. only operate from left to right):

• The position of the black »L« (the L-shaped figure): The black L-shape moves between the corners of the object, step by step anti-clockwise. Therefore, in the missing frame, the black »L« should be in the bottom left corner of the object.
• The rotation of the black »L«: The black »L« rotates 90° in the first step and 90° in the second step in the opposite direction, i.e. the position of the »L« in the right-hand frame of the row should be the same as the position of the »L« in the left-hand frame of the row.
• The position of the white »L«: There are 3 grey »L«s and one white »L« in each frame. The white »L« changes its position clockwise, one step at a time. Therefore, it should be in the top right corner of the missing frame.

The correct answer is the third option.

There are two rules in this matrix:

1. Each row (horizontal) contains: a square with diagonal lines, a square with a cross (horizontal and vertical line), a diamond with a cross.
2. Each square also contains a circle, whereby there is one large, one medium and one small circle in each row and each column.

The missing square must follow both rules. It therefore contains:

• a square with a cross and
• a small circle

Therefore, option 3 is the correct answer.

The correct answer is the first option.

First, you realise that all squares contain a blue circle and a yellow star.

Then you recognise the pattern according to which these figures change:

• The yellow star changes its position anti-clockwise in each row when viewed from left to right. Therefore, the correct answer option must contain a star in the top left-hand corner. You can therefore exclude answer options 2 and 4.
• The blue circle changes its position between top right and bottom left in each row (horizontally) and in each column (vertically). The correct answer must therefore contain a blue circle at the top right.

Consequently, answer 1 remains the only correct option.

The correct answer is: »31«.

In this number series, addition and multiplication alternate. With each step, the value used in the operation increases by 1.

The rule is therefore: +1, ×1, +2, ×2, +3, …

To calculate the next number: 27 + 4 = 31.

The correct answer is: 0.

This number sequence follows the rule: each number is multiplied by a decreasing factor, starting with 5 and going down by 1 each time – that is, the multiplier is »(n – 1)«.

Here’s how the sequence works step by step:

• 2 × 5 = 10
• 10 × 4 = 40
• 40 × 3 = 120
• 120 × 2 = 240
• 240 × 1 = 240
• 240 × 0 = 0

Since the next multiplier is 0, the correct continuation of the sequence is 0.

The correct answer is: 105.

This number sequence is based on alternating addition and subtraction rules:

• Step A: Add a number that increases by 2 each time (starting from 2): 2, 4, 6, 8 …
• Step B: Then subtract a number that decreases by 10 each time (starting from 40): 40, 30, 20, 10 …

The numbers are added to the previous result, following this pattern:

• 3 + 2 = 5
• 5 + 40 = 45
• 45 + 4 = 49
• 49 + 30 = 79
• 79 + 6 = 85
• 85 + 20 = 105

So the correct continuation of the sequence is 105.