All Tasks
Least common multiple, Greatest common divisor
To solve the main task (and a lot of similar problems), knowing the least common multiple and the greatest common divisor can be useful. So, fill in the blanks and complete the definitions.
# Fractions
Learning
6
Rewriting Decimal Numbers as Fractions
Consider the following decimal numbers:
0.776
0.0002
7.75
Rewrite each number as a fraction and mark the solutions that match your results.
# Fractions
Training
6
Combination of all
Calculate this expression and write the result as a fraction
$$\biggl( \frac{3}{5} - 0,\bar{4} \biggr) \cdot \frac{9}{2}+\biggl(2,\bar{3}-0,5 \biggr) \cdot \frac{3}{2}$$
# Fractions
Reasoning
6
Parallel lines
Decide, if the graph of a linear function with the points A(2;8) and B(-2;5) is parallel to the graph of the linear function with the points C(8;6) and D(12;9)
# Linear functions
Reasoning
5
Stair steps
In a linear function $y=ax$ the slope is always constant and equal to $a$.
This means that the ratio $a =\frac{y}{x}$ is constant. This ratio is also called gradient.
Can you find the height of the stair steps when you know that $2$ steps have height $32 \ cm$.
# Linear functions
Training
8
Can you find the number?
If the linear functions $y = -2x$ and $y = (a + 2)x + 5$ are parallel. The number $a$ is:
# Linear functions
Training
8