13-NEM7-WB-Answers 8/4/05 10:16 AM Page 135

4. the black sweater 2. a) $892.86; $7.50; $7.50 b) the mean

5. original price c) the mean
3. a) Type of juice Frequency
3.4 Using a Spreadsheet
apple 12
1. a) $49.99 b) 25
orange 32
2. a) $12.95
b) the number of items lemonade 15
c) the record for the shorts grape 23
3. $9.95
20  $199.00 grapefruit 4
4. B3*C3 and B4*C4
5. sum(D2:D5) b) 17.2, 15, no mode c) orange d) grapefruit

3.5 Frequency Tables and Stem-and-Leaf Plots 3.7 Communicating about Graphs
1. a) 35 people b) January 1. a) sour cream b) plain
2. a) 99 b) 51 c) 16 people c) sour cream, BBQ, salt & vinegar
d) 10 people 2. The cafeteria should order more salad, less
3. soup, and the same amount of pizza for the
Examination Mark
next month.
Interval Frequency
0–10 0 Test Yourself
11–20 0 1. a) the book club, and maybe the students
21–30 0 also
31–40 0 b) families in the neighbourhood
2. a) Teriyaki stir-fry
41–50 0
b) Number of people it serves, or Price
51–60 3
3. For example, “How many hours of TV do you
61–70 4 watch every week?”
71–80 6 4. a) 6 b) sum(B2 : D2) c) 14
81–90 8 5. b) 50.1; 48; 46
6. a) 9 h b) 6.25%
91–100 6

4. a) Time (min)
Stem Leaf Chapter 4
1 469
2 258
4.1 Exploring Number Patterns
3 1358 1. a) 34, 32, 30, 28, 26 b) 16, 26, 36, 46, 56
c) 6, 12, 24, 48, 96 d) 100, 10, 1, 0.1, 0.01
4 04589
2. a) Add the two numbers above each box to
5 0025
get the number in the box.
6 2467 b) The missing numbers are 67, 103, and 170.
7 3456 3. a) The next arrow will point down. The arrow
8 18 after that will point down and to the left.
b) The next figure will have 9 squares at the
9 36
bottom and be 5 squares high. The figure
10 2
after that will have 11 squares at the
b) 32 students c) 14 min d) 9% bottom and be 6 squares high.

3.6 Mean, Median, and Mode 4.2 Applying Pattern Rules

1. a) 7.3, 7.5, 9 b) 14.3, 14.5, 15 1. a) 15, 18, 21; Rule: Add 3 to each number to
c) 55, 54, 54 d) 4.4, 4, 4 get the next.
e) 35.7, 26, 23 f) 51.75, 57, 2 b) 21, 25, 29; Rule: Add 4 to each number to
get the next.
c) 256, 1024, 4096; Rule: Multiply each

Copyright © 2006 by Thomson Nelson Answers 135

13-NEM7-WB-Answers 8/4/05 10:16 AM Page 136

number by 4 to get the next. subtract 2.)

d) 64, 55, 46; Rule: Subtract 9 from each 2. a) 2 cards
number to get the next. b) 6 cards
e) 160, 320, 640; Rule: Multiply each number c) 12 cards
by 2 to get the next. d) The missing values are 0, 2, 6, 12, 20, 30,
f) 80, 40, 20; Rule: Divide each number by 2 and 42.
to get the next. e) Pattern rule: Add 2, 4, 6, and so on, to
g) 2592, 15 552, 93 312; Rule: Multiply each each number to get the next number.
number by 6 to get the next. f) 42 cards
h) 65, 129, 257; Rule: Multiply each number 3. 45 games
by 2 and subtract 1 to get the next. 4. the seventh day of work
2. 1, 5, 25, 125, 625, … 5. 6 weeks
3. 4, 7, 13, 25, 49, … 6. a) 195 bars b) on the 13th day
4. a) 25, 30, 35; Rule: Add 5 to each number. 7. 8 days
b) 100, 10, 1; Rule: Divide each number
by 10. 4.5 Using a Scatter Plot to Represent a
c) 1, 10, 100; Rule: Multiply each number Sequence
by 10. 1. The missing values are 3, 11, and 19.
d) 0.0625, 0.03125, 0.015625; Rule: Divide 2. a) 6 posts, 10 rails b) 12 posts, 22 rails
each number by 2. 3. a) 5 links
e) 625, 3125, 15 625; Rule: Multiply each b)
number by 5.
Term number (chain Term value (number
f) 289, 278, 267; Rule: Subtract 11 from each
number) of links)
number.
g) 1.8, 2.2, 2.6; Rule: Add 0.4 to each number. 1 5

h) 27, 9, 3; Rule: Divide each number by 3. 2 9

5. 2, 3, 5, 9, 17, 33, 65, 129, … 3 13
6. All the numbers in the sequence are 1. 4 17
7. a) Multiply by 1, then 2, then 3, and so on. c)
b) 720, 5040, 40 320 37 links

4.3 Using a Table of Values to Represent a Test Yourself

Sequence 1. a) 10, 12, 14; Rule: 2
1. a) The next two values are 17 and 20. b) 15, 21, 28; Rule: 1, 2, 3, …
b) Add 3 to each value to get the next. c) 256, 1024, 4096; Rule:
4
c) Multiply the term number by 3 and add 2. d) 50, 98, 194; Rule:
2 then 2
d) 26 2. a)
Term value (number
2. a) 35, 42, 49, 56 Term number
of circles)
b) Multiply the term number by 7.
1 1
c) 140
3. a) The missing numbers are 26, 31, 36, and 2 3
41. 3 6
b) Multiply the term number by 5 and add 1. 4 10
c) 81
5 15
4. b) The missing values are 3, 5, 7, and 9.
6 21
c) Add 2 to each value to get the next; or
multiply each term number by 2 and 7 28
add 1.
b) The seventh figure has 28 circles in it.
d) 21 toothpicks
c) Pattern rule: Add 2, 3, 4, and so on, to
each number to get the next number.
4.4 Solve Problems Using a Table of Values
3. a) 0, 5, 10, 15, 20, 25
1. The missing values are 3, 8, 13, 18, 23, 28, b) 2, 12, 72, 432, 2592, 15 552
33, and 38. The 15th figure will have 73 c) 100, 60, 40, 30, 25, 22.5
boxes. (Multiply the term number by 5 and

136 Answers Copyright © 2006 by Thomson Nelson

13-NEM7-WB-Answers 8/4/05 10:16 AM Page 137

d) 1, 2, 5, 14, 41, 125 4. Your trapezoid could have sides of 2, 4, and

4. 5 days h  3, or sides of 4, 5 and h  2, among
5. b) the sixth figure other solutions.
c) 20 white squares, 16 shaded squares
6. b) 16 circles 5.5 Exploring the Area and Perimeter of a
Trapezoid
1.
Chapter 5 Side Side Base Base Height
length length a b h
5.1 Area of a Parallelogram (cm) (cm) (cm) (cm) (cm)
Trapezoid
1. a) 4 units b) 6 units c) 24 units squared 3.5 3.5 3 2 3.4
A
2. a) 15 cm2 b) 8 m c) 5 cm d) 16.96 m2 Trapezoid
e) 1.5 mm f) 0.5 dm 2.5 2.5 4 3 2.4
B
3. A: 6 units squared B: 18 units squared Trapezoid
C: 20 units squared 1 1 5.5 4.5 0.8
C

2. a) 12 cm
5.2 Area of a Triangle
b) Trapezoid A will probably have the
1. a) 24 m2 b) 14 cm2 greatest area. It looks the largest and is
2. a) 36 cm2 b) 8 mm c) 20 m d) 87.3 cm2 the closest in shape to a square, having
3. 360 cm2 the sides similar in length to the bases.
4. a) 6 cm2 b) 12 cm2 c) 6 cm2 d) 24 cm2 3. a) The three areas are 8.5 cm2, 8.4 cm2, and
4.0 cm2.
5.3 Calculating the Area of a Triangle
b) Trapezoid A has the greatest area.
1. a) 3 units squared b) 3 units squared
c) 6 units squared 5.6 Calculating the Area of a Complex Shape
2. Your triangles could have h  4, b  12; 1. Area of Area of Area of Area of
h  6, b  8; h  2, b  24; h  8, b  6;
rectangle triangle parallelogram trapezoid
h  12, b  4; or h  24, b  2.
3. a) 20 m2 28 m2 10 m2 15 m2 15 m2
b) The height of the second triangle is 8 m, Total area  68 m2
while the height of the first triangle is 2. a) 39 cm2 b) 52 cm2
10 m. The bases are the same. So the 3. a) 42 m2 b) 6 m
second triangle should have a smaller 4. a) 47 m2 b) $376
area than the first triangle. 5. a) 198 cm2 b) 31.5 m2 c) 8.25 m2
c) 16 m2 d) 318 cm2
d) To find the area, you will multiply the base
by the height and divide by 2. So the 5.7 Communicating about Measurement
calculation will be the same whether b  4
1. 120 cm, 684 cm2
and h  10 or b  10 and h  4. The two
2. a) 52 cm2; subtract the area of the
triangles will have the same area.
parallelogram from the area of the square
4. a) 8000 cm2 or 0.8 m2
b) 273.75 cm2
b) 2000 cm2 or 0.2 m2
3. 0.4 m2
c) Although the base and height of the
triangles are fixed, your triangles can be Test Yourself
various shapes such as symmetrical,
1. a) 15 cm2 b) 24.5 cm2 c) 13.86 cm2
slanted to the left, or slanted to the right.
d) 21.3 m2
5.4 Area of a Trapezoid 2. first triangle: 36 m2, second triangle: 12 m2
3. a) 2 m2 b) 3.24 m2 c) 32 m2
1. a) 20 units squared b) 36 units squared
d) 102.24 cm2 e) 625 cm2
2. 280 cm2 2
4. 108 cm
3. 6 m
5. a) 22 cm2; find the area of the triangle

Copyright © 2006 by Thomson Nelson Answers 137