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Maths · Grade 6 · Set A
Shapes on the Grid
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Remember: A shape is its corners joined in order. A side is the gap between its numbers.

Sides and corners

1
The corners A, B, C and D make a rectangle. How long is side AB? Answer:
2
This triangle has corners A, B and C. How long is side AC? Answer:
3
How far is it all the way round the rectangle ABCD? Answer:
4
Which list gives the corners A, B, C and D of this rectangle, in order?
A(3, 1), B(3, 4), C(7, 4), D(7, 1)A(1, 3), B(4, 3), C(4, 7), D(1, 7)A(3, 1), B(3, 4), C(7, 1), D(7, 4)
5
In the pair (3, 5), the 3 tells how far across.
TrueFalse

Find and join

6
A, B and C are three corners of a rectangle. What are the numbers of the fourth corner D, written like (4, 2)? Answer:
7
Join each pair of corners to the length of the side between them.
  1. 1(1, 2) to (1, 7)
  2. 2(−3, 4) to (3, 4)
  3. 3(−2, −1) to (−2, 6)
  4. 4(0, 5) to (4, 5)
  • A5
  • B4
  • C6
  • D7
8
The corners of this L-shape are joined in order. How far is it all the way round? Answer:
9
What shape do these corners make?
squaretrianglerectanglepentagon

Stretch

10
The corners A, B, C and D make a rectangle. How long is side BC? Answer:
11
Side AB is 3 long.
TrueFalse
12
Draw the rectangle with corners A(1, 1), B(1, 3), C(4, 3) and D(4, 1). Join them in order.
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Answer key · Set A
Shapes on the Grid
14 A and B are in the same column. The second numbers are 2 and 6, a gap of 6 − 2 = 4.
25 A and C have the same second number. The first numbers are −3 and 2, on opposite sides of zero: 3 + 2 = 5.
318 The sides are 3, 6, 3 and 6. 3 + 6 + 3 + 6 = 18.
4A(3, 1), B(3, 4), C(7, 4), D(7, 1) The first number is across and the second is up. A is across 3, up 1. The second list swaps across and up, and the third joins the corners out of order.
5True The first number is across and the second is up.
6(5, 1) D is below C and right of A: across 5, up 1, so D is (5, 1).
71-A, 2-C, 3-D, 4-B Same side of zero: subtract. Opposite sides: add.
818 The sides are 4, 2, 2, 3, 2 and 5. 4 + 2 + 2 + 3 + 2 + 5 = 18.
9rectangle It has four right-angle corners, with sides 4 across and 2 up. That is a rectangle, not a square.
105 B and C have the same second number. The first numbers are −3 and 2: 3 + 2 = 5.
11False A and B are in the same column, second numbers 1 and 5: 5 − 1 = 4. The 3 is the length of BC.
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