page 1
Measurement – AP Book 5.2
AP Book ME5-8
page 256
1.
2.
3.
9.
b)
6 cm
AP Book ME5-10
page 260
c)
58 cm
1.
a)
46 cm
a)
9 cm
b)
10 cm
10. a)
70 mm
A paperclip – Less
c)
13 cm
b)
910 mm
a)
5 cm
c)
45 cm
b)
3 cm
a)
Top and bottom:
4 cm
Sides: 2 cm
b)
d)
2 cm
e)
6200 mm
11. Teacher to check.
12. Teacher to check
distance between lines:
Base: 3 cm
Height: 4 cm
in cm
Hypotenuse: 5 cm
4.
Teacher to check.
5.
Teacher to check.
6.
Answers will vary.
7.
Answers will vary.
4
40
3
30
8
80
3.
38 mm
b)
47 mm
8:10
8:00
8:15
2.
10
3.
10
4.
a)
b)
32
cm
dm
b)
7:25
8:00
10:55
2.
a)
6 km
b)
84 km
c)
30 km
780
78
d)
3 km
b)
5 cm + 3 cm + 3 cm
c)
5 cm + 5 cm + 3 cm
d)
5 cm + 5 cm + 5 cm
+ 5 cm + 3 cm
+ 3 cm
OR
5 cm + 3 cm + 3 cm
+ 3 cm + 3 cm
+ 3 cm + 3 cm
+ 3 cm
38 mm
b)
15 mm
BONUS:
c)
60 mm
g)
8
23
320
1
a)
80
230
10
c)
5 cm + 3 cm
5.
32
Strachan – 15 min
61
5 cm + 3 cm
+ 3 cm + 3 cm
+ 3 cm
320
15
610
f)
13
Dufferin – 10 min
150
dm
Answers will vary.
Teacher to check.
130
dm
cm
4.
cm
cm
40
5cm + 5 cm + 3 cm
+ 3 cm + 3 cm
mm
Dunn – 5 min
400
e)
10
a)
14. Answers will vary
Diagonal:
5.2 cm = 52 mm
8.
8:05
7:55
510
Top and bottom: 5 cm
7.
7:50
Height of door - More
5100
Sides: 1.5 cm
6.
8:00
16. Answers will vary
About 6 index
fingers
= About 60 mm
a)
7:45
13. Answers will vary
17. a)
2.
My pencil – Answers will
vary
9
1.
b)
Streetcar 5
90
AP Book ME5-9
page 257
About 4 index
fingers
= About 40 mm
1.
Streetcar
4
in mm
15. Answers will vary
a)
My arm – More
AP Book ME5-12
page 262
By combining the
two 5 cm sticks you
create a line of 10
cm. If you put the 3
cm stick in line with
one of the ends,
you will be able to
accurately draw a
line 7 cm long. (10
– 3 = 7).
5.
Teacher to check.
6.
Answers will vary –
teacher to check.
7.
Answers wil vary –
teacher to check.
8.
1 dm = 100 mm
b)
9 km
10 km
8 km
3.
a)
4.
24 km
No
AP Book ME5-13
page 263
1.
3
4
5
6
AP Book ME5-11
page 261
30
40
50
60
300
400
500
600
1.
Answers will vary.
4 000
5 000
6 000
2.
Teacher to check.
3
000
3.
Answers will vary.
4.
a)
3 000 m
b)
6 000 m
c)
7 000 m
d)
12 000 m
5.
10
6.
Answers will vary.
7.
2
2.
3.
a)
100
b)
1000
c)
10
m
cm
8
800
70
7 000
m
mm
5
5 000
17
17 000
180
18
2 130
213
cm
mm
1 700
170
4
40
90
9
121
1 210
5 670
567
10
Answer Key for AP Book 5.2
Measurement – AP Book 5.2
dm
cm
32
320
5
4.
5.
6.
7.
iii)
multiply by
100
b)
The smaller unit
iv)
214 mm
c)
More of the
smaller units
a)
10
b)
10
5.
a)
m
b)
dm
c)
m
a)
40 dm
a)
cm
b)
130 mm
b)
m
c)
200 mm
c)
cm
d)
cm
e)
m
a)
km
3.
1. Ostrich Fern – 150 cm
100
2. Royal Fern – 130 cm
b)
5 m 14 cm
d)
10
3. Bracken Fern – 90 cm
c)
6 m 27 cm
e)
100
4. Oak Fern – 18 cm
d)
6 m 73 cm
f)
1 000
b)
cm
e)
3 m 81 cm
b)
i)
c)
m
f)
2 m 3 cm
d)
mm
a)
283 cm
ii)
10 more
e)
km
b)
365 cm
iii)
f)
m
c)
485 cm
multiply
by 10
Since 362 mm is equal
to 36.2 cm, and 36.2 cm
is longer than 20 cm,
362 mm is longer
than 20 cm.
g)
cm
d)
947 cm
e)
704 cm
Since 32 cm times
4 parts equals 128 cm or
1.28 m, and 1.28 m is
longer than 1 m, 32 cm
times 4 parts is longer
than a metre.
f)
640 cm
a)
5 m 46 cm = 5.46 m
b)
= 2 m 17 cm
= 2.17 m
= 7 m 83 cm
= 7.83 m
3.
iv)
c)
d)
= 6 m 48 cm
= 6.48 m
A dollar is 100 cents and
a metre is 100 cm.
1.
700 km
2.
a)
7 hours
b)
14 hours
c)
28 hours
a)
368 km
b)
Teacher to check.
a)
Dawson City:
405 km
Eagle’s Nest:
37 km
b)
271 km
c)
465 km
d)
About 4.5 hours
e)
AP Book ME5-15
page 265
100 mm; 10 cm; 1 dm
10 times
smaller
7.
27 mm
10 smaller
ii)
10 more
iii)
Multiply by
10
iv)
63 cm
i)
100 times
smaller
8.
9.
Since 90 cm equals
9 dm, then 9 dm will cost
9 dm × 5¢ = 45¢.
Michelle is correct.
She multiplies by 100
because there are 100
cm in a metre.
ii)
100 times
more
iii)
multiply by
100
iv)
300 cm
AP Book ME5-16
page 267
i)
10 smaller
1.
ii)
10 more
iii)
multiply
by 10
a)
10 smaller
ii)
10 more
m = metre
 height of a door;
multiply by
10
iv)
173 mm
i)
10 smaller
mm = millimetre
 thickness of a
fingernail;
cm = centimetre
 length of a
finger;
40 dm
i)
iii)
g)
6.
i)
iv)
f)
h)
1.
4.
2.
c)
AP Book ME5-14
page 264
4.
largest - dm;
smallest - mm
4 m 23 cm
d)
3.
2.
a)
a)
c)
8.
50
Since 2 m with 25 cm is
equal to 225 cm there is
no difference in
measurements.
page 2
(continued)
4.
5.
Answers will vary.
6.
1. Red Fox – 55 cm
2. Beaver - 40 cm
3. Grey Squirrel – 23 cm
4. Black Bear - 12 cm
7.
8.
Teacher to check.
9.
a)
553 m; 2 km;
20 years
b)
3 500 km;
5.5 hours; 11 km
AP Book ME5-17
page 269
1.
H1
1
12
60
24
120
2
20
100
39
195
3
20
100
42
210
145
45
225
4
29
2.
a)
km = kilometre
 distance to
Moscow.
b)
ii)
10 more
mm = millimetre
 length of a flea;
iii)
multiply by
10
cm = centimetre
 length of a pen;
iv)
52 mm
i)
100 times
smaller
m = metre
 length of a
canoe;
ii)
100 times
more
km = kilometre
 distance to the
moon.
Teacher to check.
H2
B1
B2
66 cm; 6.6 dm
b)
100 cm; 10 dm
c)
66 m
d)
225 bricks
3.
H1
H2
B1
B2
1
16
80
21
105
2
18
90
29
145
3
29
145
46
230
AP Book ME5-18
page 270
1.
a)
15 cm
Answer Key for AP Book 5.2
Measurement – AP Book 5.2
b)
15 000 m
2.
12 900 m
3.
1 290 buses
4.
11 000 m
5.
115 m
6.
17
AP Book ME5-19
page 271
1.
a)
b)
5+2+1+1+3
+ 1 + 1 + 2 = 16 cm
c)
3+1+1+2+4
+ 3 = 14 cm
d)
2.
2+2+5+3+1
+ 1 = 14 cm
b)
2.
6+3+2+1+2
+ 1+ 2 + 3 = 20 cm
A: 16 units
B: 22 units
3.
C: 22 units
3.
4.
a)
6m
b)
6m
c)
3m
a)
a)
28 cm
c)
6 km
d)
30 cm
e)
C – 6 km
5.
8.
a)
8
b)
Width = 4 cm
2
10
c)
Length = 3 cm
3
d)
Width = 1 m
a)
W = 1, L = 2
b)
W = 1, L = 5;
Multiply the Input by
2 and add 6
iii)
10 figure = 26
W = 1, L = 8;
9.
To find the perimeter of a
rectangle, add its length
and width, and then
multiply by 2.
9 cm
a)
8 cm
b)
3 cm
c)
4 cm
2
2
2
2
Using a ruler, extend the
lines through the shapes.
Area of A = 6 cm
2
Area of B = 4 cm
2
Area of C = 8 cm
4.
Answers will vary.
Teacher to check.
5.
Answers will vary.
OR
2
10
4 cm × 3 cm rectangle:
3
12
ii)
Multiply the Input by
2 and add 6
iii)
10 figure = 26
Yes.
6
D: 15.6 cm
a)
P = 18 cm
2
8
E: 16.8 cm
b)
P = 16 cm
3
10
a)
10 × 1; 2 × 5
4
12
b)
12 × 1; 2 × 6; 3 × 4
c)
1×7
d)
12 × 1; P = 26
a)
$4.20
F:
a)
14
Multiply the INPUT
by 2 and add 4.
a)
Original Perimeter
= 8 units
1.
A: 10.8 cm
1
P = 24
AP Book ME5-24
page 277
B: 8.8 cm
2.
3 cm × 4 cm rectangle:
8
AP Book ME5-22
page 275
1.
6.
Output
Estimations will vary.
6.
c)
2
1
C: 15.6 cm
c)
8 cm
Input
Output
5
b)
th
W = 1, L = 7;
W = 4, L = 5.
b)
12
ii)
b)
W = 3, L = 6;
a)
8 cm
Teacher to check.
W = 2, L = 7;
5.
2
a)
2
Input
B – 28 cm
3.
Original Perimeter
= 7 units
W = 4, L = 4.
4.
2.
b)
1
d)
1.
OR
Original Perimeter
= 5 units
W = 3, L = 5;
D – 30 cm
4.
a)
W = 2, L = 6;
A – 24 m
3.
7.
W = 3, L = 3.
24 m
b)
Original Perimeter
= 12 units
Length = 4 cm
c)
AP Book ME5-23
page 276
c)
Output
AP Book ME5-20
page 272
2.
Original Perimeter
= 10 units
W = 2, L = 4;
Teacher to check.
10 cm; 8 cm; 14 cm
b)
Input
Answers will vary.
Teacher to check.
1.
Sally could make
two different
rectangles: 2 × 4
and 1 × 8. The
border would be
least expensive for
the 2 × 4 one since
its perimeter is less
(12 m < 18 m).
AP Book ME5-21
page 273
1.
page 3
(continued)
b)
2.
19.2 cm
W
C
2 cm
6 cm
3 cm
9 cm
4 cm
12 cm
The circumference
is about 3 times
greater than the
width.
3.
a)
4 × 3 = 12
b)
2×3=6
c)
3×2=6
d)
5 × 3 = 15
a)
3 × 7 = 21
b)
3 × 4 = 12
c)
3×2=6
d)
4 × 6 = 24
a)
Length = 6 units
Width = 2 units
Area = 12 sq units
b)
Length = 3 units
Width = 2 units
Area = 6 sq units
c)
Length = 4 units
Width = 3 units
Area = 12 sq units
Answer Key for AP Book 5.2
Measurement – AP Book 5.2
4.
a)
2 cm × 3 cm
2
= 6 cm
b)
1 cm × 3 cm
2
= 3 cm
c)
5.
2 cm × 4 cm
2
= 8 cm
d)
4 cm × 3 cm
2
= 12 cm
e)
2 cm × 5 cm
2
= 10 cm
8.
3 possible rectangles:
1 × 20, 2 × 10, 4 × 5
a)
3 whole squares
b)
2 whole squares
c)
3 whole squares
AP Book ME5-25
page 278
d)
3 whole squares
e)
8 whole squares
1.
a)
2 cm × 5 cm
2
= 10 cm
f)
8 whole squares
b)
1 cm × 3 cm
2
= 3 cm
g)
4 whole squares
h)
5 whole squares
i)
11 whole squares
j)
13 whole squares
2.
k)
10 whole squares
a)
8 square units
3 cm × 5 cm
2
= 15 cm
a)
6m×7m
2
= 42 m
b)
3.
4.
3m×7m
2
= 21 m
c)
4 cm × 8 cm
2
= 32 cm
a)
A:
3m×7m
2
= 21 m
B:
4 cm × 5 cm
2
= 20 cm
b)
2.
C:
11 m × 6 m
2
= 66 m
D:
3 km × 2 km
2
= 6 km
3.
5.
Triangle and
Rectangle - 9
square units
c)
8.5 square units
a)
Area:
5 square units
a)
Area:
13 square units
c)
Area:
6 square units
Perimeter: 15 units
Perimeter: 11 units
2.
a)
Teacher to check
shapes drawn by
students.
b)
Shape A
Old Area: 1 units
Less:
shaded = 3
unshaded = 4
and 3 < 4
New Area: 4 units
Shape B
Area:
1 square units
Old Area: 2 units
2
Old Per: 6 units
1
New Area: 8 units
Area:
2 square units
Shape C
1
2
b)
4 square units
c)
2 square units
1 square units
AP Book ME5-27
page 281
New Area: 2 units
a)
1.
3 square units
d)
2
Fraction: 8
5 square units
Triangle:1 square
unit
Rectangle: 2 square
units
Old Area: .5 units
2
Old Per: 3.4 units
Teacher to check lines.
a)
2
New Per: 12 units
a)
c)
2
New Per: 8 units
Fraction: 4
c)
2
Old Per: 4 units
5
b)
Area:
5 square units
b)
Fraction: 9
Equal:
shaded = 4
unshaded = 4
5 cm
Box 1:
2 × 5 = 10
Box 2:
3 × 4 = 12
Total Area: 10 + 12 = 22
d)
More:
shaded = 7
unshaded = 5
and 7 > 5
6.
OR
Triangle and Square
- 8 square units
a)
3 square units
6.
c)
6 square units
9.
7 total squares
Perimeter: 14 units
Triangle and
Triangle - 2 square
units
8.5 square units
8.
1.
Rectangle and
Triangle - 5 square
units
a)
b)
Answers may vary.
b)
b)
NOTE:
Answers may vary since they
are estimates.
b)
3 cm
Box 1:
2×2=4
Box 2:
3 × 6 = 18
Total Area: 4 + 18 = 22
a)
10 total squares
Triangle:1 square
unit
Rectangle: 1 square
units
7.
a)
AP Book ME5-28
page 282
6 square units
c)
4.
d)
NOTE:
Answers may vary since
they are estimates.
Rectangle: 4 square
units
7.5 square units
b)
3.
Triangle:2 square
unit
b)
5.
7.
c)
c)
D, C, A, B
Width = 3 cm
(since you can find the
width by dividing the area
2
by the length, and 18 cm
÷ 6 cm is 3 cm)
Triangle: 1 square
unit
Rectangle: 2 square
units
NOTE:
For estimation questions,
consider the diagonal of the
square unit equals 1.5 cm.
Area = Length × Width
c)
b)
AP Book ME5-26
page 279
1.
page 4
(continued)
2.
New Per: 6.8 units
a)
7 half squares =
3.5 total squares
Shape D
b)
9 half squares =
4.5 total squares
Old Per: 4.8 units
c)
14 half squares =
7 total squares
a)
Area = 3 + 3 = 6
b)
Area = 3 + 4 = 7
c)
Area = 9 + 3 = 12
d)
Area = 5 + 3 = 8
2
Old Area: 1 units
2
New Area: 4 units
2
New Per: 9.6 units
c)
The area of the
shape quadruples
(is multiplied by 4).
d)
The perimeter
doubles.
Answer Key for AP Book 5.2
Measurement – AP Book 5.2
AP Book ME5-29
page 283
1.
e)
2.
Shape
P
A
A
12 cm
B
22 cm
30 cm
2
C
22 cm
18 cm
2
D
20 cm
21 cm
2
E
26 cm
30 cm
2
2
8 cm
14 cm
10 cm
G
22 cm
10 cm
2
3.
D&G
E; B, C & G; D; F; A
5.
E & B; D; C; F& G; A
6.
No
7.
Perimeter is the length
along the outside edge of
a shape. Area is the
measure of the space
contained within the
edges of a shape.
2
4
14
2
cm
This table gives actual
measurements only:
R
P
A
A
14 cm
10 cm
2
B
16 cm
12 cm
2
C
16 cm
15 cm
2
D
10 cm
6 cm
E
18 cm
14 cm
F
12 cm
8 cm
G
14 cm
12 cm
2
2
14
2
7
7
2
14
1
1
18
2
9
3
6
6
3
9
2
18
1
4.
3×3
5.
5×4
6.
Since length = 2 × width,
then P = 3 widths × 2 =
6 width
1
c)
2
3
1
1
d)
3.
a)
b)
c)
2
1
1
1
6.
b)
1
1
2
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
2
1
3.
2
d)
4; 24
a)
3 × 4 × 2 = 24
b)
5 × 4 × 3 = 60
c)
4 × 4 × 3 = 48
d)
4 × 5 × 2 = 40
8.
Yes
9.
a)
2
A: 12 cm
1
2
3
2
1
2
2
1
1
3
3
2
C: 18 cm
b)
2
3
A: 12 cm
B: 12 cm
3
C: 18 cm
3
1
B: 60 cm
3
2
1
C: 36 cm
1
1
1
3
c)
10. a)
3
3×2=6
3
b)
4×2=8
2
2
c)
4 × 3 = 12
1
1
11. a)
3 × 2 × 4 = 24
b)
4 × 2 × 3 = 24
c)
4 × 3 × 2 = 24
12. a)
Width: 2
3 + 3 + 3 + 3 = 12
Length: 2
3 × 4 = 12
Height: 2
b)
175 cm
c)
160 cm
d)
120 cm
= 10
a)
15 cm
2 × 5 = 10
Length: 3
b)
24 cm
Height: 2
c)
64 cm
3+3+3+3+3+3
+ 3 = 21
a)
0.5 m
3 × 7 = 21
b)
2m
2.
3 in each
3.
a)
3 + 3 + 3 + 3 = 12
b)
3 × 4 = 12
a)
6
b)
6 + 6 + 6 + 6 = 24
c)
6 × 4 = 24
a)
2+2+2=6
6m
3.
Teacher to check.
d)
Answers will vary.
4.
a)
5 cm × 2 cm
a)
b)
4 cm × 2 cm
Perimeter = 22 m
2
Area = 30 m
The perimeter is
unchanged.
3; 18
280 cm
c)
4.
2; 12
c)
a)
20 cm
2
b)
3
1.
2
3; 6
A: 24 cm
1.
2.
a)
B: 12 cm
2
AP Book ME5-34
page 288
a)
7.
1
AP Book ME5-32
page 286
b)
1.
13
8
6 cm
AP Book ME5-31
page 285
c)
a)
2
a)
5.
12
2
Answers will vary.
2
2
2.
b)
4
3.
AP Book ME5-30
page 284
2.
8
18
2
cm
4.
1.
Width
1
2
F
No
Length
2
2
2.
$10.40
8 cm
page 5
(continued)
b)
c)
4.
2
b)
12 m
c)
Teacher to check.
5.
2+2+2+2+2
2×3=6
5.
12
6.
Teacher to check.
7.
Teacher to check.
b)
10 + 10 + 10 + 10
= 40
10 × 4 = 40
a)
4m
b)
Teacher to check.
c)
$168
AP Book ME5-33
page 287
d)
$9.60
1.
a)
4
c)
9+9+9+9+9
Volume = 8
b)
Width: 2
Volume = 12
c)
Width: 2
Length: 4
Height: 2
Volume = 16
d)
Width: 2
Length: 3
Height: 5
Volume = 30
13. a)
Width: 2
Length: 3
Height: 5
Volume = 30
= 45
9 × 5 = 45
Answer Key for AP Book 5.2
Measurement – AP Book 5.2
b)
Length: 2
AP Book ME5-36
page 293
Height: 3
1.
Width: 2
a)
page 6
(continued)
4.
Since a cylinder has a
circular base, measuring
its volume using
centicubes would be
difficult.
5.
300 cm
mL
Volume = 12
b)
mL
Width: 2
c)
L
Length: 5
d)
mL or L
Height: 10
e)
L
Volume = 100
f)
mL
AP Book ME5-38
page 295
a)
L
1.
a)
327 cents
AP Book ME5-35
page 291
b)
Answers may vary.
b)
816 cents
c)
mL
c)
902 cents
1.
Answers will vary.
d)
Answers may vary.
d)
307 cents
2.
Answers will vary.
a)
4
a)
501 cm
3.
a)
28 g
b)
6
b)
308 cm
b)
24 g
c)
3 containers of C
c)
714 cm
c)
18 g
a)
10
d)
948 cm
d)
350 g
b)
5
e)
1 610 cm
e)
About 11 quarters
c)
2
f)
102 cm
f)
About 3 pennies
d)
4
c)
2.
4.
Answers will vary.
5.
Balloon = grams
7.
8.
9.
4.
5.
2.
3.
4 000 mL
Truck = kilograms
AP Book ME5-37
page 294
Scissors = g
1.
Key = grams
6.
3.
a)
1 mL
Computer = kg
b)
1 mL
Tape = g
c)
1 mL
a)
12
36
C, A, B
2.
4.
a)
kg
b)
b)
kg
c)
36 cm
c)
g
d)
36 mL
d)
g
a)
e)
g
Water displaced:
300 mL
f)
g
a)
4 kg
b)
2 g, 2 g, 2 g or
3.
Volume of toy:
3
300 cm
b)
1 g, 2 g, 3 g
10.
Thousand
11.
a)
$42
b)
300 g
c)
520 kg
12
1 000
13
Teacher to check.
14
3.5 kg
15
2g
3
c)
d)
3
a)
8 005 m
b)
3 062 m
c)
9 006 m
d)
5 007 m
e)
12 327 m
f)
19 001 m
a)
122 min
b)
65 min
c)
130 min
d)
195 min
e)
228 min
f)
265 min
BONUS:
5.
a)
$9.02
b)
$18.03
Water displaced:
100 mL
c)
$57.02
d)
9.07 m
Volume of toy:
3
100 cm
e)
5.27 m
f)
5.2 cm
Water displaced:
600 mL
g)
6.1 dm
Volume of toy:
3
600 cm
h)
7.002 L
i)
8.027 kg
Water displaced:
700 mL
6.
3–4 months
Volume of toy:
3
700 cm
Answer Key for AP Book 5.2