Problem solving with plotting coordinates | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these are properties of a square
- It has 4 right angles ✓
- All sides are the same length ✓
- It has angles of 60 degrees
- Two sides are the same length but the other two are different.
- It has 5 sides
Jun marks the coordinate (3,4) on a set of axes with a cross. What word best describes what he has done?
- plotted ✓
- drawn
- estimated
- generalised
- multiplied
Lucas has put -3 and 4 on a number line. What calculation will give him the distance between these numbers on his number line?
- $-3+4$
- $-3\div 4$
- $4-(-3)$ ✓
- $4-3$
- $-4+3$
Calculate $(-8)-(-10)$
- '2' ✓
Match the coordinate with the equation for the line it will lie on
- (2,3)
  
  ⇔
  
  $y=3$ ✓
- (3,6)
  
  ⇔
  
  $x=3$ ✓
- (-3,-3)
  
  ⇔
  
  $y=x$ ✓
- (5,-5)
  
  ⇔
  
  $y=-x$ ✓
- (-2,-3)
  
  ⇔
  
  $y=2x+1$ ✓
- (-3,4)
  
  ⇔
  
  $y=-3x-5$ ✓
These three coordinates are plotted on an axis. (-10,3) (-8,3) (-10,1). What coordinate needs to be plotted to form a square?
- '(-8,1)' ✓

Which of the rules below does the coordinate (2,-12) follow?
- $x=2$ ✓
- $x=y$
- $y=x+10$
- $y=12$
- $y=-12$ ✓
What is the length of one side of this square
- '11' ✓
Work out the coordinate of the top right corner of this square
- '(9,-6)' ✓
Match the coordinate with the two rules it follows
- (5,5)
  
  ⇔
  
  $x=5$ and $y=x$ ✓
- (5,15)
  
  ⇔
  
  $y=3x$ and $y=x+10$ ✓
- (5,-5)
  
  ⇔
  
  $y=x-10$ and $y=-x$ ✓
- (-5,5)
  
  ⇔
  
  $y=x+10$ and $y=-x$ ✓
- (5,-15)
  
  ⇔
  
  $y=-3x$ $y=-15$ ✓
Which statements concerning intersection points are true?
- Any two lines will intersect
- The lines $x=4$ and $y=3$ intersect at (3,4)
- The lines $y=x+15$ and $y=2x$ intersect at (15,30) ✓
- The lines $y=x$ , $x=4$ and $y=4$ as intersect at (4,4) ✓
- Two straight lines can intersect at 2 different coordinates
At which coordinate do the lines $y=4x$ and $y=x-9$ intersect?
- '(-3,-12)' ✓

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Adding the length of the side onto the wrong value within a coordinate.

Use sketches/ erasable axis/ Desmos to plot points and see if they are reasonable. Encourage writing/drawing on diagrams as working out.