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Maths · Grade 6 · Set A
How Far Across the Grid
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Remember: Same side of zero, subtract. Opposite sides of zero, add. A distance is never negative.

Count the steps

1
P and Q have the same second number. How far apart are P and Q? Count the steps from P to Q. Answer:
2
P and Q have the same first number. How far apart are they? Answer:
3
P is at (−2, 3) and Q is at (−6, 3). How far apart are they?
8 units2 units4 units−4 units
4
P and Q are on opposite sides of the y-axis. How far apart are they? Answer:

Same side, or opposite sides?

5
A is at (−4, 3) and B is at (−4, −2). A and B are 3 units apart.
TrueFalse
6
Each pair of points is joined by a letter pair. Which two points are 6 units apart?
A and BC and DE and F
7
Join each pair of points to how far apart they are.
  1. 1(2, 5) and (2, 9)
  2. 2(−3, 1) and (4, 1)
  3. 3(−6, −2) and (−6, −8)
  4. 4(0, −5) and (0, 3)
  • A4
  • B6
  • C8
  • D7
8
On a map, each square is 1 block. The library L and the park K are on one street. How many blocks is it from L to K? Answer:

Think it through

9
Point R is at (2, −4). Point S is straight above R, 9 units away. What is the second number of S? Answer:
10
P is at (−5, 2) and Q is at (3, 2). Which sum or difference gives how far apart they are?
5 + 35 − 33 − 55 × 3
11
A is at (−4, 3). B is in the same column, 10 units away, and below the x-axis. What is the second number of B? Answer:
12
P is at (−7, 4) and Q is at (2, 4). Write how you find how far apart they are.
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Answer key · Set A
How Far Across the Grid
13 Both points are at height 3. Only the first numbers differ: 4 less 1 is 3.
24 They sit in one column. Only the second numbers differ: 5 less 1 is 4.
34 units Both first numbers are negative, so they are on the same side of zero. Subtract 6 − 2 = 4. A distance is never negative.
47 P is 3 left of zero and Q is 4 right of zero. Opposite sides, so add: 3 + 4 = 7.
5False A is 3 above zero and B is 2 below zero. They are on opposite sides of zero, so add: 3 + 2 = 5.
6C and D C is 3 below zero and D is 3 above: 3 + 3 = 6. A and B are 4 apart and E and F are 3 apart.
71-A, 2-D, 3-B, 4-C Same side of zero: subtract. Opposite sides: add.
88 L is 5 left of zero and K is 3 right of zero: 5 + 3 = 8 blocks.
95 Going up 9 from −4: 4 of the steps reach zero, then 5 more. S is at (2, 5).
105 + 3 They are on opposite sides of zero, so you add how far each one is from zero: 5 + 3.
11-7 Going down 10 from 3: 3 steps reach zero and 7 more go below it. B is at (−4, −7).
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.