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Maths · Grade 6 · Set C
Sides, Paths and Perimeters
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C
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Remember: Same side of zero, subtract. Opposite sides of zero, add. A distance is never negative.

Distances in shapes

1
The rectangle has corners A (−4, 3), B (2, 3), C (2, −2) and D (−4, −2). How long is side AB?
2
How long is side BC?
3
What is the perimeter of the rectangle in units?
4
P is at (−9, 4) and Q is at (3, 4). How far apart are they?
5
Which pair of points is farthest apart?
(−3, −5) and (−3, 2)(2, −8) and (2, 1)(4, 1) and (−6, 1)
6
S is at (−7, −3). T is in the same row, 15 units to the right of S. What is the first number of T?
7
The points (−8, 5) and (−2, 5) are 10 units apart.
TrueFalse
8
P, Q and R are in one row. How far is it from P to R?
9
One side of a square goes from (−3, 2) to (−3, −4). What is the area of the square in square units?
10
Join each pair of points to how far apart they are.
  1. 1(−5, 8) and (−5, 3)
  2. 2(−5, 8) and (−5, −3)
  3. 3(2, −9) and (2, −2)
  4. 4(−6, −6) and (6, −6)
  • A7
  • B5
  • C12
  • D11
11
Circle every point that is 6 units from (1, 2) in the same row.
(7, 2)(−5, 2)(1, 8)(−6, 2)(6, 2)
12
Go from A to B and then from B to C along the lines. How many units is the whole path?
13
Pip says (−6, 4) and (2, 4) are 4 apart, because 6 − 2 = 4. Write how you know Pip is wrong, and the distance.
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Answer key · Set C
Sides, Paths and Perimeters
16 A is 4 left of zero and B is 2 right of zero: 4 + 2 = 6.
25 B is 3 above zero and C is 2 below zero: 3 + 2 = 5.
322 The sides are 6, 5, 6 and 5. 6 + 5 + 6 + 5 = 22.
412 P is 9 left of zero and Q is 3 right of zero: 9 + 3 = 12.
5(4, 1) and (−6, 1) The first pair is 5 + 2 = 7 apart, the second is 8 + 1 = 9 apart and the third is 4 + 6 = 10 apart.
68 Going right 15 from −7: 7 steps reach zero and 8 more go past it. T is at (8, −3).
7False Both first numbers are negative, so they are on the same side of zero. Subtract: 8 − 2 = 6, not 10.
89 P is 5 left of zero and R is 4 right of zero: 5 + 4 = 9.
936 The side is 2 + 4 = 6 units long. A square 6 by 6 has an area of 36.
101-B, 2-D, 3-A, 4-C Same side of zero: subtract. Opposite sides: add.
11(7, 2), (−5, 2) (7, 2) is 7 − 1 = 6 away. (−5, 2) is 1 + 5 = 6 away. (1, 8) is in the same column, and (−6, 2) and (6, 2) are 7 and 5 away.
1215 A to B is 6 + 2 = 8. B to C is 4 + 3 = 7. 8 + 7 = 15.
13Your own words: a grown-up reads it.
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