Textbook: Position and Movement (Term 4) | Mathematics for Grade 6 PDF Download

 Page 1


358 UNiT 10: POSiTiON AND MOVeMeNT
Unit 10
Position And movement 10.1 Locate positions on a grid
The plan for a new garden at a public building is given on the grid on 
the next page.
On the plan, benches are indicated in Cells B12 and H6.
1. What is indicated in each of the following cells on the plan?
(a) C12 (b) H2 (c) A6
(d) D5 (e) G9 (f) B3
(g) B11 (h) D4 (i) F12
(j) H3 (k) G11 (l) B6
(m) G7 (n) C4 (o) F1
(p) C3 (q) G3 (r) F2
(s) F10 (t) E8 (u) E5
(v) A5 (w) F11 (x) G2
2. Where will the water fountain be? Write down the cell number(s).
3. Walking through the flower beds and shrub beds will not be allowed 
in the garden. Through which cells will you have to walk, if you 
want to take the shortest route from the bench in B12 to the toilet 
in F1?
4. (a) Draw a grid like the one on the next page but with more cells, 
 with Columns A to O, and Rows 1 to 15. Use square grid paper.
 (b) Shade the following cells on your grid:
  E7, O7, F6, N6, F8, N8, G5, M5, G9, M9
 (c) Which other cells do you have to shade to form a square?
Maths_English_LB_Grade6_Book.indb   358 2016/12/15   4:22:26 PM
Page 2


358 UNiT 10: POSiTiON AND MOVeMeNT
Unit 10
Position And movement 10.1 Locate positions on a grid
The plan for a new garden at a public building is given on the grid on 
the next page.
On the plan, benches are indicated in Cells B12 and H6.
1. What is indicated in each of the following cells on the plan?
(a) C12 (b) H2 (c) A6
(d) D5 (e) G9 (f) B3
(g) B11 (h) D4 (i) F12
(j) H3 (k) G11 (l) B6
(m) G7 (n) C4 (o) F1
(p) C3 (q) G3 (r) F2
(s) F10 (t) E8 (u) E5
(v) A5 (w) F11 (x) G2
2. Where will the water fountain be? Write down the cell number(s).
3. Walking through the flower beds and shrub beds will not be allowed 
in the garden. Through which cells will you have to walk, if you 
want to take the shortest route from the bench in B12 to the toilet 
in F1?
4. (a) Draw a grid like the one on the next page but with more cells, 
 with Columns A to O, and Rows 1 to 15. Use square grid paper.
 (b) Shade the following cells on your grid:
  E7, O7, F6, N6, F8, N8, G5, M5, G9, M9
 (c) Which other cells do you have to shade to form a square?
Maths_English_LB_Grade6_Book.indb   358 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 359
bench tree pond
flower bed
flower bed
water fountain tree
tree
tree
tree
tree
tree tree
shed shed shed
toilet
shrubs shrubs
shrubs shrubs
shrubs shrubs
pond pond
pond
bench
12
11
10
9
8
7
6
5
4
3
2
1
A B C D E F G H
Maths_English_LB_Grade6_Book.indb   359 2016/12/15   4:22:26 PM
Page 3


358 UNiT 10: POSiTiON AND MOVeMeNT
Unit 10
Position And movement 10.1 Locate positions on a grid
The plan for a new garden at a public building is given on the grid on 
the next page.
On the plan, benches are indicated in Cells B12 and H6.
1. What is indicated in each of the following cells on the plan?
(a) C12 (b) H2 (c) A6
(d) D5 (e) G9 (f) B3
(g) B11 (h) D4 (i) F12
(j) H3 (k) G11 (l) B6
(m) G7 (n) C4 (o) F1
(p) C3 (q) G3 (r) F2
(s) F10 (t) E8 (u) E5
(v) A5 (w) F11 (x) G2
2. Where will the water fountain be? Write down the cell number(s).
3. Walking through the flower beds and shrub beds will not be allowed 
in the garden. Through which cells will you have to walk, if you 
want to take the shortest route from the bench in B12 to the toilet 
in F1?
4. (a) Draw a grid like the one on the next page but with more cells, 
 with Columns A to O, and Rows 1 to 15. Use square grid paper.
 (b) Shade the following cells on your grid:
  E7, O7, F6, N6, F8, N8, G5, M5, G9, M9
 (c) Which other cells do you have to shade to form a square?
Maths_English_LB_Grade6_Book.indb   358 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 359
bench tree pond
flower bed
flower bed
water fountain tree
tree
tree
tree
tree
tree tree
shed shed shed
toilet
shrubs shrubs
shrubs shrubs
shrubs shrubs
pond pond
pond
bench
12
11
10
9
8
7
6
5
4
3
2
1
A B C D E F G H
Maths_English_LB_Grade6_Book.indb   359 2016/12/15   4:22:26 PM
360 UNiT 10: POSiTiON AND MOVeMeNT
10.2 Giving directions using a map
A map of a certain area is given on the next page.
The thick blue lines indicate highways.
The two highways are called Great North Road  
and Link Road.
The red lines indicate tarred roads.
The tarred rows are numbered R31 and R88.
The brown lines indicate gravel roads.
The gravel roads are numbered G98, G54  
and G42.
The blue broken line indicates a river.
The two highways cross in Cell J5 on the map.
1. In which cells does the Great North Road cross the river?
2. In which cell does the Link Road highway cross the river?
3. Which road crosses the river in Cell B10?
4. Which roads cross in Cell J10?
Each cell is an area of 10 km by 10 km.
The town Orangeville is in Cell A16.
5. Approximately how far is it from Orangeville to the crossing of the 
two highways?
Maths_English_LB_Grade6_Book.indb   360 2016/12/15   4:22:26 PM
Page 4


358 UNiT 10: POSiTiON AND MOVeMeNT
Unit 10
Position And movement 10.1 Locate positions on a grid
The plan for a new garden at a public building is given on the grid on 
the next page.
On the plan, benches are indicated in Cells B12 and H6.
1. What is indicated in each of the following cells on the plan?
(a) C12 (b) H2 (c) A6
(d) D5 (e) G9 (f) B3
(g) B11 (h) D4 (i) F12
(j) H3 (k) G11 (l) B6
(m) G7 (n) C4 (o) F1
(p) C3 (q) G3 (r) F2
(s) F10 (t) E8 (u) E5
(v) A5 (w) F11 (x) G2
2. Where will the water fountain be? Write down the cell number(s).
3. Walking through the flower beds and shrub beds will not be allowed 
in the garden. Through which cells will you have to walk, if you 
want to take the shortest route from the bench in B12 to the toilet 
in F1?
4. (a) Draw a grid like the one on the next page but with more cells, 
 with Columns A to O, and Rows 1 to 15. Use square grid paper.
 (b) Shade the following cells on your grid:
  E7, O7, F6, N6, F8, N8, G5, M5, G9, M9
 (c) Which other cells do you have to shade to form a square?
Maths_English_LB_Grade6_Book.indb   358 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 359
bench tree pond
flower bed
flower bed
water fountain tree
tree
tree
tree
tree
tree tree
shed shed shed
toilet
shrubs shrubs
shrubs shrubs
shrubs shrubs
pond pond
pond
bench
12
11
10
9
8
7
6
5
4
3
2
1
A B C D E F G H
Maths_English_LB_Grade6_Book.indb   359 2016/12/15   4:22:26 PM
360 UNiT 10: POSiTiON AND MOVeMeNT
10.2 Giving directions using a map
A map of a certain area is given on the next page.
The thick blue lines indicate highways.
The two highways are called Great North Road  
and Link Road.
The red lines indicate tarred roads.
The tarred rows are numbered R31 and R88.
The brown lines indicate gravel roads.
The gravel roads are numbered G98, G54  
and G42.
The blue broken line indicates a river.
The two highways cross in Cell J5 on the map.
1. In which cells does the Great North Road cross the river?
2. In which cell does the Link Road highway cross the river?
3. Which road crosses the river in Cell B10?
4. Which roads cross in Cell J10?
Each cell is an area of 10 km by 10 km.
The town Orangeville is in Cell A16.
5. Approximately how far is it from Orangeville to the crossing of the 
two highways?
Maths_English_LB_Grade6_Book.indb   360 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 361
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
A  B  C  D  E  F  G  H  I  J  K  L
N
S
E W
Link Road
Great North Road
R88
R31
G98
G54
G42
Great North Road
Orangeville
Thabanare
Celluloso
Bettina
Maths_English_LB_Grade6_Book.indb   361 2016/12/15   4:22:26 PM
Page 5


358 UNiT 10: POSiTiON AND MOVeMeNT
Unit 10
Position And movement 10.1 Locate positions on a grid
The plan for a new garden at a public building is given on the grid on 
the next page.
On the plan, benches are indicated in Cells B12 and H6.
1. What is indicated in each of the following cells on the plan?
(a) C12 (b) H2 (c) A6
(d) D5 (e) G9 (f) B3
(g) B11 (h) D4 (i) F12
(j) H3 (k) G11 (l) B6
(m) G7 (n) C4 (o) F1
(p) C3 (q) G3 (r) F2
(s) F10 (t) E8 (u) E5
(v) A5 (w) F11 (x) G2
2. Where will the water fountain be? Write down the cell number(s).
3. Walking through the flower beds and shrub beds will not be allowed 
in the garden. Through which cells will you have to walk, if you 
want to take the shortest route from the bench in B12 to the toilet 
in F1?
4. (a) Draw a grid like the one on the next page but with more cells, 
 with Columns A to O, and Rows 1 to 15. Use square grid paper.
 (b) Shade the following cells on your grid:
  E7, O7, F6, N6, F8, N8, G5, M5, G9, M9
 (c) Which other cells do you have to shade to form a square?
Maths_English_LB_Grade6_Book.indb   358 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 359
bench tree pond
flower bed
flower bed
water fountain tree
tree
tree
tree
tree
tree tree
shed shed shed
toilet
shrubs shrubs
shrubs shrubs
shrubs shrubs
pond pond
pond
bench
12
11
10
9
8
7
6
5
4
3
2
1
A B C D E F G H
Maths_English_LB_Grade6_Book.indb   359 2016/12/15   4:22:26 PM
360 UNiT 10: POSiTiON AND MOVeMeNT
10.2 Giving directions using a map
A map of a certain area is given on the next page.
The thick blue lines indicate highways.
The two highways are called Great North Road  
and Link Road.
The red lines indicate tarred roads.
The tarred rows are numbered R31 and R88.
The brown lines indicate gravel roads.
The gravel roads are numbered G98, G54  
and G42.
The blue broken line indicates a river.
The two highways cross in Cell J5 on the map.
1. In which cells does the Great North Road cross the river?
2. In which cell does the Link Road highway cross the river?
3. Which road crosses the river in Cell B10?
4. Which roads cross in Cell J10?
Each cell is an area of 10 km by 10 km.
The town Orangeville is in Cell A16.
5. Approximately how far is it from Orangeville to the crossing of the 
two highways?
Maths_English_LB_Grade6_Book.indb   360 2016/12/15   4:22:26 PM
 GrADe 6: MATheMATiCS [TerM 4] 361
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
A  B  C  D  E  F  G  H  I  J  K  L
N
S
E W
Link Road
Great North Road
R88
R31
G98
G54
G42
Great North Road
Orangeville
Thabanare
Celluloso
Bettina
Maths_English_LB_Grade6_Book.indb   361 2016/12/15   4:22:26 PM
362 UNiT 10: POSiTiON AND MOVeMeNT
To travel from the town Bettina in Cell B1 to the town Thabanare in Cell 
K15 you could follow these directions:
Travel northwards on the R88, cross the Link Road highway and continue 
until you meet the Great North Road. Turn left onto the Great North Road. 
Pass the crossing with the gravel road G42, cross the river and continue until 
you get to the R31. Turn right onto the R31 and keep going in a southeasterly 
direction up to the crossing with the G98. Turn left and travel northwards 
until you get to Thabanare, which is on the right side of the road.
6. If you follow the directions above, through which cells will you pass 
between the G54 turnoff and the Great North Road?
7. If you travel from Bettina to Thabanare, but turn right in Cell C4 
onto the Link Road highway and continue, which route can you 
follow to Thabanare? Describe the route in a similar way to the 
description given at the top of this page.
8. The town Celluloso is in Cell H4. Your friend wants to travel from 
Thabanare to Celluloso. He does not have a map. Write instructions 
to tell him how he should travel, using the shortest road.
9. Your friend tells you that he wants to travel as little gravel road as 
possible, because the G98 is in a very poor condition. Describe an 
alternative route that he can take, even if it is longer.
The farm Ijabuna is in Cell E9. You can also describe this location in the 
following way, by referring to the roads:
Ijabuna is situated between the G54 and Great North Road, and between the 
G42 and the R88.
10. Gabriel owns a farm in Cell I10. Describe the location of his farm in 
a way similar to the way above, without referring to cells.
1 1. Describe the shortest route from Orangeville to Bettina.
12. Describe the shortest route from Orangeville to Gabriel’s farm (I10).
13. Eric has a farm close to the G54 bridge over the river. Describe a 
route from Eric’s farm to Thabanare.
Maths_English_LB_Grade6_Book.indb   362 2016/12/15   4:22:26 PM