Line Up Task
Original
Task
Extension
Ideas
Task 1
Task 2
Task 3
Task 4
Task 5
Task 6
Task 7
Task 8
Task 9
NC Level 3 to 7
Line Up Original
Four numbers are equally spaced on a number
line.
75
P
Q
120
Find the numbers represented by P and Q
Home
Line Up
Easier
Let the outside numbers be both even or odd and find the middle number
Let one of the outside numbers be odd and one even and find the middle
Variation
Make the biggest – smallest a multiple of 3 and find P and Q
Make the biggest – smallest a multiple of 4 and find P, Q and R etc…
Present the problem as
split the line in the ratio 2:1 …
or the first gap is twice as large as the second
Use negative numbers or decimals
P
80
If 80 is in the middle then what could P and Q be?
What is the link between P, Q and 80? P+Q = 2x80
Find P
30
50
20
Home
28
Q
Q
Q
Line Up
Extension
If P and Q are integers what could the outside numbers be?
As above but insert P, Q and R equally spaced
Looking at the diagram below what could P and Q be?
What is the rule for finding pairs of values for P and Q?
P
Q
120
2(Q-P)=120-Q or 3Q = 120+2P etc…
Try different number of spacings
Express the problem as a ratio: If PQ: QR = 3:1 then what could P,Q & R be?
P
Include Negative numbers
Decimals
Fractions
Home
Q
½
R
P
¾
Line Up 1
Three numbers are equally spaced on a number
line.
60
P
120
Find the number represented by P
Home
Change the outer values: Both even
Both odd
Odd/Even
Line Up 2
Four numbers are equally spaced on a number
line.
75
P
Q
120
Find the numbers represented by P and Q
Home
Change the outer values
Use Negatives
Extend to P, Q and R
Line Up 3
Four numbers are placed on a number line.
75
P
Q
129
Find the numbers represented by P and Q
Home
Change the outer values
Use negatives
Express the position of P and Q in terms of ratios
Extend to P, Q and R
Line Up 4
The difference between P and Q is 140
P
0
Q
Find the numbers represented by P and Q
Home
Change the outer values
Use Negatives
Extend to P, Q and R
Line Up 5
Three numbers are equally spaced on a number
line.
P
60
Q
Find possible values for P and Q
What is the relationship between P and Q
Home
Change the centre number
Make the centre number negative
Line Up 6
Numbers are equally spaced on a number line.
75
89
P
Q
Find the numbers represented by P & Q
Home
Change the 75 and 89
Change the position of P & Q
Introduce negatives
Line Up 7
Three numbers are equally spaced on a number
line.
1/2
P
3/4
Find the number represented by P
Home
Change the outer values
Introduce P & Q
Line Up 8
Numbers are equally spaced on a number line.
P
Q
120
Find possible values for P and Q
What is the relationship between P and Q
Home
Change the 120
Line Up 9
Numbers are equally spaced on a number line.
P
Q
120
Find possible values for P and Q
What is the relationship between P and Q
Home
Vary the number of increments
Change the 120
Introduce R