Vaša košarica je prazna
Mixed exercises
{{exercise_number}}. At a parent-teacher meeting, the class teacher asked all the parents to sit where their kids would sit in class. How would you instruct the parents where to sit? Come up with different solutions.
{{exercise_number}}. Write the coordinates of each of the points on the Cartesian planes.
a)
b)
\latex{ 1 }
\latex{ 1 }
\latex{ -1 }
\latex{ -1 }
\latex{ 0 }
\latex{A}
\latex{B}
\latex{D}
\latex{C}
\latex{E}
\latex{G}
\latex{H}
\latex{F}
\latex{y}
\latex{x}
\latex{x}
\latex{y}
\latex{ 1 }
\latex{ 1 }
\latex{ -1 }
\latex{ -1 }
\latex{ 0 }
\latex{A}
\latex{B}
\latex{C}
\latex{D}
\latex{E}
\latex{F}
\latex{H}
\latex{G}
{{exercise_number}}. Mark the following points on a coordinate system.
\latex{ A }\latex{(3; -1)}
\latex{ B }\latex{ (7; -1) }
\latex{ C }\latex{ (8; 1) }
\latex{ D }\latex{ (6; 1) }
\latex{ E }\latex{ (6; 6) }
\latex{ F }\latex{ (3; 4) }
\latex{ G }\latex{ (2; 1) }
Connect the dots in the right order to get the outline of a vehicle. What vehicle is it?
{{exercise_number}}. There are three rectangles, each with four vertices. Draw the rectangles on a coordinate system. What kind of quadrilaterals are they? How many squares is the area of each square?
a) \latex{ A }\latex{ (-1; 2) }
\latex{ B }\latex{ (6; 2) }
\latex{ C }\latex{ (6; -4) }
\latex{ D }\latex{ (-1; -4) }
b) \latex{ A }\latex{ (0; 3) }
\latex{ B }\latex{ (3; 0) }
\latex{ C }\latex{ (0; -3) }
\latex{ D }\latex{ (-3; 0) }
c) \latex{ A }\latex{ (0; 3) }
\latex{ B }\latex{ (4; 7) }
\latex{ C }\latex{ (8; 3) }
\latex{ D }\latex{ (4; -1) }
{{exercise_number}}. The following coordinates represent three vertices of a square. Give the coordinates for the fourth vertex.
a) \latex{ A }\latex{ (6;2) }; \latex{ B }\latex{ (8;2) }; \latex{ C }\latex{ (8;4) }
b) \latex{ A }\latex{ (-5; 1) }; \latex{ B }\latex{ (-3; 1) }; \latex{ C }\latex{ (-3; -1) }
c) \latex{ A }\latex{ (0;3) }; \latex{ B }\latex{ (4;3) }; \latex{ C }\latex{ (2;5) }
d) \latex{ A }\latex{ (-1; 1) }; \latex{ B }\latex{ (2; -2) }; \latex{ C }\latex{ (-1; -5) }
{{exercise_number}}. Mark the following points on a coordinate system. Connect the points in the order in which they are written. What word do you get?
– \latex{ A }\latex{ (3; -4) }; \latex{ B }\latex{ (-1; -4) }; \latex{ C }\latex{ (1; -3) }; \latex{ D }\latex{ (-1; -2) }; \latex{ E }\latex{ (3; -2) };
– \latex{ F }\latex{ (-1;-1) }; \latex{ G }\latex{ (3; -1) };
– \latex{ H }\latex{ (-1; 2) }; \latex{ I }\latex{ (-1; 1) }; \latex{ J }\latex{ (1;1) }; \latex{ K }\latex{ (1;2) }; \latex{ L }\latex{ (3;2) }; \latex{ M }\latex{ (3;1) };
– \latex{ N }\latex{ (3; 4) }; \latex{ P }\latex{ (-1; 4) }; \latex{ Q }\latex{ (-1;3) }; \latex{ R } \latex{ (-1;5) }.
– \latex{ F }\latex{ (-1;-1) }; \latex{ G }\latex{ (3; -1) };
– \latex{ H }\latex{ (-1; 2) }; \latex{ I }\latex{ (-1; 1) }; \latex{ J }\latex{ (1;1) }; \latex{ K }\latex{ (1;2) }; \latex{ L }\latex{ (3;2) }; \latex{ M }\latex{ (3;1) };
– \latex{ N }\latex{ (3; 4) }; \latex{ P }\latex{ (-1; 4) }; \latex{ Q }\latex{ (-1;3) }; \latex{ R } \latex{ (-1;5) }.
{{exercise_number}}. The image shows a rocket on a coordinate system.
- Write the coordinates of the rocket's points.
- The rocket's launch position is \latex{ 6 } units to the left of its current location. Draw the rocket on the launch pad in your notebook. Write down the coordinates of the rocket's points on the launch pad.
- Draw the rocket after it has travelled \latex{ 5 } units up. Write the coordinates of the rocket's points on the new drawing.
\latex{ 11 }
\latex{ 10 }
\latex{ 9 }
\latex{ 8 }
\latex{ 7 }
\latex{ 6 }
\latex{ 5 }
\latex{ 4 }
\latex{ 3 }
\latex{ 2 }
\latex{ 1 }
\latex{ 0 }
\latex{ 1 }
\latex{ 2 }
\latex{ 3 }
\latex{ 4 }
\latex{ 5 }
\latex{ 6 }
\latex{ 7 }
\latex{ 8 }
\latex{ 9 }
\latex{ 10 }
\latex{ 11 }
\latex{ 12 }
\latex{F}
\latex{G}
\latex{E}
\latex{D}
\latex{C}
\latex{B}
\latex{A}
\latex{I}
\latex{H}
\latex{ y}
\latex{ x}
{{exercise_number}}. The coordinates of the vertices of a rectangle are as follows: \latex{ A }\latex{ (-1; 2) }; \latex{ B }\latex{ (3; 2) }; \latex{ C }\latex{ (3; -2) } and \latex{ D }\latex{ (-1; -2) }.
- Draw the rectangle on a coordinate system in your exercise book.
- Give the coordinates of the midpoints of the sides of the rectangle.
- How many units is the perimeter of the rectangle?
- How many units is the area of the rectangle whose vertices are the midpoints of the sides of the rectangle?
{{exercise_number}}. On a school trip, the children went to a lookout tower \latex{ 18 } \latex{ km } away. Walking at a steady pace, it took them three \latex{ hours } to reach the meadow \latex{ 12 } \latex{ km } away, where they rested and played for an \latex{ hour. }
Then they reached the lookout tower in two \latex{ hours. }
- Draw a time-distance graph of the journey.
- When did they cover more distance in one \latex{ hour? } Before or after they rested?
{{exercise_number}}. On a warm \latex{ day } in April, a machine produced the following graph of temperature change.
- At what time was the temperature the highest?
- What was the temperature at \latex{ 6 } in the morning?
- When did the temperature reach \latex{ 15 }\latex{ °C? }
- Was the temperature stable throughout the \latex{ day? }
- What was the difference between the highest and the lowest temperature of the \latex{ day? }
\latex{temperature}
\latex{time}
\latex{ (hour) }
\latex{ (°C) }
\latex{ 35 }
\latex{ 30 }
\latex{ 25 }
\latex{ 20 }
\latex{ 15 }
\latex{ 10 }
\latex{ 5 }
\latex{ 0 }
\latex{ 2 }
\latex{ 4 }
\latex{ 6 }
\latex{ 8 }
\latex{ 10 }
\latex{ 12 }
\latex{ 14 }
\latex{ 16 }
\latex{18 }
\latex{20 }
\latex{22 }
\latex{24 }
