Tutorpip← About this lessonABCHide the answer keyDownload PDF
Maths · Grade 6 · Set C
Across the Zero Lines
Scan to mark
on screen
C
Name
Date
Start Finish
Goal: 15 min
Score/ 10
Remember: A shape is its corners joined in order. Same side of zero: subtract. Opposite sides: add.

Sides and corners

1
This triangle has corners A, B and C. How long is side AB? Answer:
2
The corners A, B, C and D make a rectangle. How long is side CD? Answer:
3
How far is it all the way round the rectangle ABCD? Answer:
4
What shape do these corners make, joined in order?
pentagonhexagonrectangletriangle
5
Which list gives the corners A, B, C and D of this rectangle, in order?
A(1, −2), B(4, −2), C(4, 3), D(1, 3)A(−2, 1), B(−2, 4), C(3, 1), D(3, 4)A(−2, 1), B(−2, 4), C(3, 4), D(3, 1)A(2, 1), B(2, 4), C(−3, 4), D(−3, 1)

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
The corners of this U-shape are joined in order. How far is it all the way round? Answer:
8
Join each pair of corners to the length of the side between them.
  1. 1(−5, 2) to (−5, −4)
  2. 2(−6, 1) to (1, 1)
  3. 3(2, −4) to (2, 5)
  4. 4(−3, −1) to (1, −1)
  • A4
  • B9
  • C6
  • D7
9
A, B and C are three corners of the rectangle ABCD. How far is it all the way round the rectangle? Answer:
10
The perimeter of ABCD is 15.
TrueFalse

Stretch

11
Draw the shape with corners A(−2, 1), B(−2, 3), C(2, 3) and D(2, 1). Join them in order.
12
Write how you find the length of a side from (−3, 2) to (4, 2). Then write the length.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.
Answer key · Set C
Across the Zero Lines
17 A and B are in the same column. The second numbers are −3 and 4, on opposite sides of zero: 3 + 4 = 7.
25 C and D are in the same column. The second numbers are 3 and −2: 3 + 2 = 5.
322 AB is 3 + 1 = 4 and BC is 3 + 4 = 7. The sides are 4, 7, 4 and 7. 4 + 7 + 4 + 7 = 22.
4pentagon There are five corners and five sides, so it is a pentagon.
5A(−2, 1), B(−2, 4), C(3, 4), D(3, 1) The first number is across, and left of zero is negative. A is across −2, up 1. The first list swaps across and up, the second joins the corners out of order, and the fourth has the wrong signs.
6(1, −2) D is below C and right of A: across 1, down to −2, so D is (1, −2).
724 The sides are 4, 2, 2, 2, 2, 2, 4 and 6. 4 + 2 + 2 + 2 + 2 + 2 + 4 + 6 = 24.
81-C, 2-D, 3-B, 4-A Same side of zero: subtract. Opposite sides: add.
920 AB is 3 + 1 = 4 and BC is 2 + 4 = 6. The fourth corner makes sides of 4, 6, 4 and 6. 4 + 6 + 4 + 6 = 20.
10False AB is 3 and BC is 5. 3 + 5 + 3 + 5 = 16, not 15.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.