Unit 1: Number Sense Name: - JUMP Math 7-2 Quizzes and... · Unit 1: Number Sense Name: _____ Test...

Unit 1: Number Sense Name: ________________________

Quiz (Lessons 55 to 59) – WNCP Date: ________________

Sample Unit Quizzes and Tests for Workbook 7.2 V-3

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1. Reduce the following fractions to lowest terms.

a) 864

b) 648

c) 912

d) 224

2. Write the numbers in order from least to greatest: 0.43 0.43 0.43 0.4 ______ < ______ < ______ < ______ 3. Change both numbers to be in the same form. Circle the greater number in each pair.

a) 25

and 0.42 b) 425

and 0.15 BONUS 38

and 0.367

4. Change the fractions to decimals using long division. If the decimal value of the fraction is repeating

write it using bar notation.

a) 25

= ______ b) 13

= ______ BONUS 1855

= _______

Unit 1: Number Sense Answer Key

Quiz (Lessons 55 to 59) – WNCP

V-4 Sample Unit Quizzes and Tests for Workbook 7.2

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1. a) 18

b) 18

c) 34

d) 112

2. 0.4 < 0.43 < 0.43̄ < 0.43¯¯

3. a) 40100 and

42100

or 0.4 and 0.42;

Circle: 0.42

b) 16100 and

15100

or 0.16 and 0.15;

Circle: 4

25

BONUS 375

1000 and 367

1000

or 0.375 and 0.367;

Circle: 38

4. a) 0.4

b) 0. 3

BONUS 0. 327


Test (Lessons 55 to 63) – WNCP Date: ________________


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1. a) Change the fractions to decimals by first writing them as a decimal fraction.

i) 25

ii) 34

iii) 1120

iv) 615

b) Which two questions from part a) have the same answer? Why does that happen?

c) Choose one of the fractions from part a) and change it to a decimal using long division. Did you get the same answer both times?

2. a) Write the first eight digits after the decimal point of each decimal.

i) 0. 24 = 0. ___ ___ ___ ___ ___ ___ ___ ___

ii) 0. 517 = 0. ___ ___ ___ ___ ___ ___ ___ ___

b) Use your answers to part a) to find the first eight digits of 0. 24 + 0. 517 . 0. ___ ___ ___ ___ ___ ___ ___ ___ c) Use the pattern in the digits of your answer to b) to write 0. 24 + 0. 517 in bar notation. 0. 24 + 0. 517 = __________

Unit 1: Number Sense continued

Test (Lessons 55 to 63) – WNCP


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3. Use long division to change 1744

to a decimal. Write your answer in bar notation.

4. Calculate the first four products then predict the fifth.

a) 0.01 × 23

b) 0.011 × 23

c) 0.0111 × 23

d) 0.01111 × 23

e) 0.01 × 23

5. a) Write the fractions as decimals. Use bar notation for any repeating decimals.

i) 12

= ________ ii) 13

= ________

b) Add the fractions and their equivalent decimals.

12

+ 13

= and ________ + ________ = _________

BONUS: Verify that your answers to b) are equivalent.




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1. a) i) 25 =

410 = 0.4

ii) 34 =

75100

= 0.75

iii) 1120 =

55100

= 0.55

iv) 615 =

25 =

410

= 0.4

b) i) and iv), because they are equivalent fractions

c) Answers will vary but students should get the same answer as in part a).

2. a) i) 0.242 424 24

ii) 0.517 171 71

b) 0.75959595

c) 0. 759

3. 0. 3863

4. a) 0.23

b) 0.253

c) 0.255 3

d) 0.255 53

e) 0. 25

5. a) i) 0.5

ii) 0. 3

b) 56 and 0. 83

BONUS Students should use long

division to verify that 56

and 0. 83 are indeed equivalent.


Quiz (Lessons 64 to 71) Date: ________________


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1. Convert the following decimals and fractions to percents.

a) 45

= _______ b) 0.67 = _______ c) 14

= _______ d) 0.08 = _______

2. Is the fraction closest to 10%, 25%, 50%, 75% or 100%?

a) 410

_______

b) 45

_______

c) 310

_______

BONUS 29

_______

3. What percent of the figure is shaded?

4. If 20% is 8, what is 80%? BONUS If 30% is 24, what is 75%? 5. What is 26% of 44?


Quiz (Lessons 64 to 71)


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1. a) 80%

b) 67%

c) 25%

d) 8%

2. a) 50%

b) 75%

c) 25%

BONUS 25%

3. 60%

4. 32

BONUS 60

5. 11.44




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1. Solve.

a) 8 is 40% of what number? b) What is 60% of 25? c) What percent of 30 is 24?

2. In classroom A there are 35 children and 60% are girls. In classroom B there are 36 children and the ratio of girls to boys is 5 : 4. Which classroom has more girls?

3. There are 45 as many green beads as red beads and 6 more red beads than green beads.

Draw a model to find the number of red and green beads.

4. Write a fraction statement for each figure using the word “of.”

a) BONUS

5. a) How many pieces of length 15 fit into 8? ________

b) How many pieces of length 25 fit into 8? ________




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1. a) 20

b) 15

c) 80%

2. Classroom A has 21 girls, and Classroom B has 20 girls. ∴ Classroom A has more.

3.

There are 30 red beads and 24 green beads.

4. a) 14

of 16

= 124

BONUS 14

of 14

= 116

5. a) 5 × 8 = 40 pieces

b) 40 ÷ 2 = 20 pieces

6


Test (Lessons 64 to 85) Date: ________________


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1. Complete the chart.

Drawing

Fraction 100

100

18100

100

Percent 34% 7% ____ % ____ %

2. In Anna’s school 30% of the students play soccer, 53

play basketball and 0.48 play volleyball.

Which sport is the most popular? __________________________ 3. Fill in the missing numbers

Ratio of boys to girls

Fraction of boys

Fraction of girls

Percentage of boys

Percentage of girls

a) 7 : 3

b)

34

c) 1 : 4

d) 50%

4. A lake has about 4 000 fish, 30% of them are trout. As a part of a conservation program, 1 000 more trout are released into the lake.

a) How many trout are now in the lake? __________

b) What percent of the fish in the lake are trout? __________ BONUS If 1 000 sturgeon were released into the lake instead of 1 000 trout, what percent of

the fish in the lake would be trout?


Test (Lessons 64 to 85)


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5. Solve the following problem using the diagram as a model. One fourth of the fish in a tank are blue. The rest are red and green. There are 8 more green fish

than blue fish. There are 32 red fish. How many fish are in the tank? ________ 6. Calculate.

a) 4 × 17

b) 57

× 23

c) 6 ÷ 25

d) 8.5 × 5.3

BONUS 0.72 × 23

7. Estimate the product, then place the decimal point correctly in the answer. 72.65 × 891.324 = 6 4 7 5 4 6 8 8 6 8. Change each measurement to the smallest unit used in the chart and then order the animals from

shortest to longest.

Animal Length Animals from Shortest to Longest

Mouse 65 mm = _________________ 1.

Elephant 5 m = ____________________ 2.

Tiger 20 dm = __________________ 3.

Hawk 50 cm = __________________ 4.

Horse 1.5 m = __________________ 5.

blue green red

41

41

8 32




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1. 34 squares shaded; 34

100

7 squares shaded; 7

100

18 squares shaded; 18%

4100 ; 4%

2. Soccer 30

100 = 30% = 0.30

Basketball 60

100 = 60% = 0.60

Volleyball 48

100 = 48% = 0.48

∴ basketball is the most popular sport.

3.

7 : 3 710

310 70% 30%

1 : 3 14 3

4 25% 75%

1 : 4 15

45 20% 80%

1 : 1 12

12 50% 50%

4. a) 2 200

b) 44%

BONUS 24%

5. 8 + 32 = 40, which must

equal the other 24 , or

12

∴ there are a total of 80 fish in the tank.

6. a) 47

b) 1021

c) 15

d) 45.05

BONUS

0.48 or 48

100 = 1225

7. 64 754.688 6

8. 1. Mouse (65 mm) 2. Hawk (500 mm) 3. Horse (1 500 mm) 4. Tiger (2 000 mm) 5. Elephant (5 000 mm)

Unit 3: Probability and Data Management Name: ______________________

Quiz (Lessons 6 to 12) Date: ______________


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Num

ber o

f Stu

dent

s

Mark A B C D E

Frequency of Spelling Test Marks 1. Draw a bar graph for the frequency table. NOTE: You will first need to decide the scale.

Mark A B C D E

Frequency 12 19 14 7 2

2. Complete the chart and then use your protractor to draw a circle graph. Add labels and a title to the

circle graph. Make sure all of your percents total 100% and all of your angles total 360°. Survey results: Daily newspaper read

Percent Angle in Circle

Toronto Star 35%

Toronto Sun 20%

Globe & Mail 30%

Metronews 15%

Title: ____________________________________________________

Unit 3: Probability and Data Management Answer Key



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Daily Newspaper Readership

Star 35%

Metro15%

G&M 30%

Sun 20%

Num

ber o

f Stu

dent

s

Mark A B C D E

Frequency of Spelling Test Marks

20 16 12 8 4

1. Students should choose a scale such that 4 students are represented by each division in the scale.

2.

Percent Angle

Star 35% 126°

Sun 20% 72°

G&M 30% 108°

Metro 15% 54°


Test (Lessons 9 to 16) – WNCP Date: ______________


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1. A class of 30 students received grades on their recent science fair projects according to the circle graph shown. Use this graph to complete the tally chart below.

Mark Tally Frequency Percentage of Students

A

B

C

D /// 3 10%

2. Complete the relative frequency table, then draw a circle graph. Be sure to include a title.

You will need a protractor and compass. Make sure the percent total is 100% and the angle total is 360°.

Favourite Season Frequency Fraction Percent Angle in Circle

Fall 8

Winter 6

Spring 10

Summer 16

A

B

C

D

Unit 3: Probability and Data Management continued



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3. Using a protractor, determine what fraction of a company’s staff works part-time. __________

If the company has 87 employees, how many work part-time? __________

4. From the circle graph, determine the mean, the median, and the mode.

Hint: Pretend 100 people were surveyed.

mean = __________________________________

median = _________________________________

mode = __________________________________

BONUS The chart below shows the angle degrees each

region represents. Pretend 360 people were surveyed and use the chart to find the mean again.

Did you get the same answer both ways?

Number of children 0 1 2 3

Angle in circle 126° 108° 90° 36°

Part-time

Full-time

Our Company’s Staff

Survey Results: Number of Children in Households

0 children 35%

1 child 30%

2 children 25%

3 children 10%




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Fall

Winter

Spring

Summer

1.

A //// / 6 20%

B //// //// // 12 40%

C //// //// 9 30%

2.

Fall 840 =

15 20 72

Winter 640 =

320 15 54

Spring 1040 =

14 25 90

Summer 1640 =

25 40 144

3. 13 ; 29

4. mean = (35 × 0 + 30 × 1+ 25 × 2 + 10 × 3) ÷ 100 = 110 ÷ 100 = 1.1

median = 1

mode = 0

BONUS mean = (0 × 126 + 1 × 108 + 2 × 90 + 3 × 36) ÷ 360 = 396 ÷ 360 = 1.1 Yes, this is the same answer as above.

Unit 4: Patterns and Algebra Name: ________________________



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1. Complete the chart. Then write a formula for the number of dots (d). 2. Write a list of ordered pairs for the points shown and complete the T-table.

3. a) Graph the sequence by first making a list of ordered pairs.

12 8 6 4 0

(1, ) (2, ) (3, ) (4, ) (5, )

b) How does the graph show that the sequence decreases?

4. The graph shows the distance Johnny travelled in a 70 km

cycling trip.

a) How far did Johnny travel in the first hour? ______

b) How far had Johnny travelled after 5 hours? ______

c) Did Johnny take any breaks during his trip? ______

For how long? ________________

BONUS Did Johnny cover more distance in the first 3 hours or the last 2 hours of his trip? How do you know?

Ordered pairs First number Second number

( , )

( , )

( , )

Row (r) Dots (d)

Row 1

Row 2

Row 3

Formula:

0

10

20

30

40

50

60

70

0 1 2 3 4 5 6 7

Time (hours)

Dis

tanc

e (k

ilom

eter

s)12 10 8 6 4 2 0

0 1 2 3 4 5 6

0 1 2 3 4 5 6

12 10 8 6 4 2 0

Unit 4: Patterns and Algebra Answer Key



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1. Row Dots

1 3

2 4

3 5

Formula: d = r + 2

2.

Ordered pair

First number

Second number

(1,4) 1 4

(3,8) 3 8

(5,10) 5 10

3. a) (1, 12), (2, 8), (3, 6), (4, 4), (5, 0)

b) The points on the graph go from top left to bottom right, so the sequence decreases.

4. a) 10 km

b) 50 km

c ) Yes, 1 hour

BONUS Johnny covered more distance in the last two hours. He covered 40 km whereas in the first three hours he covered 30 km.

1210 8 6 4 2 0 0 1 2 3 4 5 6

Unit 4: Patterns and Algebra Name: ________________________



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1. Larissa makes copies of the design below using one square and several triangles of the same size.

Complete the chart and write a formula showing how to find the number of triangles from the number of squares.

2. Mark 3 grid points on the line segment. Then write a list of ordered pairs and complete the T-table.

Ordered pairs First number Second number

( , )

( , )

( , )

3. Decide which of these sequences is linear by finding the gaps between the terms.

A: 17 15 12 8 3 B: 7 9 11 13 15

is linear because .

4. The graph shows the cost to rent a bike from two different stores, Bike Pirate and Cycle Star.

a) Which store charges a flat fee? ______________

How much is the flat fee? ______________

b) How much would it cost to rent a bike for 5 days from Bike Pirate? ______________

c) How much would it cost to rent a bike for 4 days from Cycle Star? ______________

d) If you needed a bike for 3 days, which store would you rent from? Explain.

Squares (s) Triangles (t)

1

2

3

Formula:

0123456789

0 1 2 3 4 5 6 7 8

120 100 80 60 40 20

0 0 1 2 3 4 5 6

Time (days)

Tota

l Cos

t ($)

Cycle Star

Bike Pirate

Bike Rental Cost

Unit 4: Patterns and Algebra continued



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5. Fill in the T-table for the following formula. Then make a list of ordered pairs and plot the points on the graph.

6. For the pattern at right,

a) Write a formula for the number of shaded blocks.

b) Write a formula for the total number of blocks.

c) In which formula does the number of blocks vary directly with the figure number?

7. For the sequence 4, 6, 8, 10 fill in the table of values for the term numbers and the term values. Draw a graph for your table and extend the graph to find the value of the 6th term.

BONUS

a) Write an expression for the perimeter of each figure.

b) What is the perimeter of Figure 28?

n 2n + 1 Ordered pairs

1 ( , )

2 ( , )

3 ( , )

4 ( , )

Figure 1 Figure 2 Figure 3

Term number Term value

6

10 9 8 7 6 5 4 3 2 1 0

0 1 2 3 4 5 6

16 14 12 10 8 6 4 2 0

0 1 2 3 4 5 6

Figure 2 Figure 3 Figure 1

Unit 4: Patterns and Algebra Answer Key



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1. Squares Triangles

1 8

2 16

3 24

Formula: t = 8s or t = 8 × s

2. Any three points from:

(0, 0) 0 0

(1,3) 1 3

(2,6) 2 6

(3,9) 3 9

3. A Gaps: –2, –3, –4, –5

B Gaps: 2, 2, 2, 2

∴ B is linear because the gaps are the same size.

4. a) Bike Pirate, $10

b) $60 c) $60

d) Bike Pirate, because it would cost $40, when Cycle Star would charge more – the Cycle Star line is above 40 at Time = 3 days.

5. n 2n + 1 Ordered pair

1 3 (1,3)

2 5 (2,5)

3 7 (3,7)

4 9 (4,9)

6. a) 3n

b) 3n + 3

c) Formula a), 3n, the number of shaded blocks

7. Term Number

Term Value

1 4

2 6

3 8

4 10

6 14

BONUS

a) 4n + 4

b) 116

10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6

16 14 12 10 8 6 4 2 0 0 1 2 3 4 5 6

Unit 5: Geometry Name: ________________________



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D

E

F

J

K

L

R T

T S

R S

P

Q

R

1. ΔPQR is congruent to ΔYXZ.

a) Label the vertices of the second triangle.

b) Mark the equal sides and equal angles in the picture.

c) Complete the statements of equal sides and angles.

∠ ____ = ∠ ____ ____ = ____

∠ ____ = ∠ ____ ____ = ____

∠ ____ = ∠ ____ ____ = ____

2. Which congruence rule tells that the two triangles are congruent? Write the vertex letters in the names of the triangles in the correct order.

Congruence rule: _________

ΔDEF ≅ Δ ________

3. Use a compass and a straightedge to construct ΔRST, using line segment RS as the base and with the other side lengths as shown.

Unit 5: Geometry Answer Key



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R S

T

Y

X

Z

P

Q

R

1. Answers may vary slightly – teacher to check. ∠P = ∠Y ∠Q = ∠X ∠R = ∠Z

PQ = YX QR = XZ P = ZY

2. Congruency rule: ASA ΔDEF ≅ ΔKLJ

3. Teacher to check side lengths.




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A

B

C

1. Which two triangles below are congruent? _____ and _____

Which congruence rule can you use to show it? ________

2. Use the information provided on the sketch. Which congruence rule would you use to prove that the triangles are congruent?

a)

Rule: ________

b)

Rule: ________

c)

Rule: ________

3. a) Using a compass and straightedge, construct the angle bisector of ∠ABC.

b) Mark congruent triangles on your sketch and use them to explain why the line you drew bisects ∠ABC.

A B C

Unit 5: Geometry continued



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D E

F G H

Y

Z

4. Using a compass and straightedge, construct the perpendicular bisector of line segment DE.

5. Use a compass and a straightedge.

a) Construct a line segment through point H that is perpendicular to line segment FG;

b) Use the perpendicular line segment you drew in part a) to construct a line segment parallel to FG.

BONUS: Using only a compass and a straightedge, construct an equilateral triangle XYZ. Side YZ is given below.




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1. B and C; SAS

2. a) ASA

b) SAS

c) SAS

3. a)

b) BE = BF (radii) The circles centred at B and F have equal radii, so FD = ED, and BD is the common side, so ΔBDF ≅ ΔBDE by the SSS congruence rule.

4.

5. a)

b)

BONUS

A

B

C

D

E

F

D E

Y

Z

F H G

G F H




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0 +1 +2 +3 +4-1 -2 -3 -4 0 +1 +2 +3 +4-1-2-3-4

0 +1 +2 +3 +4-1 -2 -3 -4 0 +1 +2 +3 +4-1-2-3-4

1. Write the opposite of each integer.

a) The opposite of –5 is _________

b) The opposite of +3 is _________

c) The opposite of 38 is _________

d) The opposite of –405 is _________

2. Rewrite each sum of integers as a sequence of gains and losses, then solve.

a) (–5) + (+2) = b) (–7) + (–3) =

= =

c) (+4) + (–3) + (–2) = d) (–5) + (+6) + (–7) =

= =

3. Use a number line to add the integers.

a) (–2) + (+4) = _______ b) (–1) + (–2) = ________

c) (+2) + (–3) = ________ d) (+4) + (–2) = ________

4. Which two parts of Question 3 have the same answer? _______ and _______

BONUS: Why does that make sense?




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1. a) +5 or 5

b) –3

c) –38

d) +405 or 405

2. a) = – 5 + 2 = – 3

b) = – 7 – 3 = –10

c) = + 4 – 3 – 2 = –1

d) = – 5 + 6 – 7 = –10

3. a) (–2) + (+4) = +2

b) (–1) + (–2) = –3

c) (+3) + (–4) = –1

d) (+4) + (–2) = +2

4. a) and d)

BONUS Because they are adding the same numbers but just in a different order.

0 +1 +2 +3 +4 -1 -2 -3 -4

0 +1 +2 +3 +4 -1 -2 -3 -4

0 +1 +2 +3 +4 -1 -2 -3 -4

0 +1 +2 +3 +4 -1 -2 -3 -4




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0 +1 +2 +3 +4-1-2-3-4 -5 -6 -7 +5 +6 +7 +8 +9 +10-10 -8 -9

1. Draw number lines in the space provided to show how the integers are added, and write the answer.

a) (+3) + (–4) = ______ b) (–5) + (–3) = ______

2. How many units apart are the two whole numbers?

a) +3 and –3 are ____ units apart b) –9 and –2 are ____ units apart 3. Simplify each expression and then add to find the result.

a) +7 + (–1) = ____________ b) (–5) – (+2) = ____________

= ____________ = ____________

c) (–1) + (+4) = ____________ d) (–15) – (–12) = ____________

= ____________ = ____________

e) (–2) + (+3) – (–2) = ____________ f) 15 – (+9) + (–6) = ____________

= ____________ = ____________

4. On the number line given, use the letter indicated to mark the number that is:

A 5 less than 2 B 7 greater than –1 C 5 less than –2

D the same distance from 0 as +8 E opposite of –5 F halfway between –6 and –2

5. Two special six-sided dice have the following markings:

Die 1: +1, –2, +3, –4, –5, +6 Die 2: –1, –2, +3, +4, –5, +6

When rolling these two dice,

a) What is the highest possible total that can be rolled? _____ + _____ = _____

b) What is the lowest possible total that can be rolled? _____ + _____ = _____

c) What are two different ways to roll a total of zero? _____ + _____ or _____ + _____

d) Find two different ways to roll a total of –1? _____ + _____ or _____ + _____




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6. Fill in the missing integer that will make the statement true.

a) (–5) + ______ = –7 b) ______ + (–3) = (+3) c) _____ – (–5) = +1 d) +2 – ______ = +7

7. The chart shows the average monthly (maximum) temperatures for the city of Ottawa.

a) Write the six lowest average temperatures in order from least to greatest.

_______ < ______ < _______ < _______ < _______ < _______

b) What is the difference between the average temperatures for June and December? _______ – ______ = ______

c) What is the difference between the warmest and coldest average temperatures? _______ – ______ = ______

d) What is the largest drop in temperature from one month to the next? From which month to which month did this occur?

A drop of _______°C from ________________ to ________________.

e) What is the largest gain in temperature from one month to the next? From which month to which month did this occur?

A gain of _______°C from ________________ to ________________.

8. On an autumn day, when the sun sets at 6:00 pm, the temperature is +5°C. The temperature then

decreases by 2°C each hour. What is the temperature at 9:00 pm?_______ BONUS: Find the following totals.

(–1) + (+2) = _______ (–1) + (+2) + (–3) + (+4) = ________ (–1) + (+2) + (–3) + (+4) + (–5) + (+6) = _________

Continue the pattern in both sides of the equation. Write the next two terms. _________________________________________________ = __________ _________________________________________________ = __________

Predict: (–1) + (+2) + (–3) + (+4) + (–5) + (+6) + … + (–99) + (+100) = ___________

Month Max. (°C) Jan –5

Feb –4

Mar +2

Apr +11

May +19

Jun +24

Jul +26

Aug +25

Sep +20

Oct +13

Nov +5

Dec –2




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1. a) (+3) + (–4) = –1

b) (–5) + (–3) = –8

2. a) 6

b) 7

3. a) = + 7 – 1 = +6

b) = – 5 – 2 = –7

c) = – 1 + 4 = +3

d) = – 15 + 12 = –3

e) = – 2 + 3 + 2 = +3

f) = 15 – 9 – 6 = 0

4. A –3

B +6

C –7

D –8

E +5

F –4

5. a) (+6) + (+6) = +12

b) (–5) + (–5) = –10

c) (+1) + (–1) or (–4) + (+4)

d) (+1) + (–2) or (–4) + (+3) or (–5) + (+4)

6. a) –2

b) +6

c) –4

d) –5

7. a) -5°C, -4°C, -2°C, +2°C, +5°C, +11°C

b) +24°C – (–2°C) = 26°C

c) +26°C – (–5°C) = 31°C

d) A drop of 8°C from October to November.

e) A gain of 9°C from March to April.

8. –1°C

BONUS

1; 2; 3; – 1 + 2 – 3 + 4 – 5 + 6 – 7 + 8 = 4; – 1 + 2 – 3 + 4 – 5 + 6 – 7 + 8 – 9 + 10 = 5; Prediction: 50

0 +1 +2 +3 +4 -1 -2 -3 -4

-3 -2 -1 0 -4 -7 -6 -5 -8




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-3

y

x 1 2 3 4 -1 -2 -4

-1

-2

-3

-4

1

2

3

4

0

-3

y

x 1 2 3 4 -1 -2 -4

-1

-2

-3

-4

1

2

3

4

0

1. a) On the grid shown, plot and label the points:

i) A (–3, 2)

ii) A', the reflection of A in the x-axis

iii) B (4, –1)

iv) B', the reflection of B in the y-axis

b) Write the coordinates of points A' (___,___) and B' (___,___).

2. Write the quadrant where each point is found:

a) (17, –6) Quadrant ____

b) (–11, 13) Quadrant ____

c) (9, 14) Quadrant ____

d) (–8, –10) Quadrant ____

3. Find the horizontal and the vertical distance between the points. Hint: Use a sketch.

Point Image Horizontal distance Vertical distance

A (–2, –3) A' (–2, 4)

B (–3, –1) B' (–8, –1)

C (5, –4) C' (5, 1)

4. a) Plot each pair of points.

A (–2, –3) A' (2, 4)

B (–3, –1) B' (–1, –4)

b) For each pair of points, write the translation needed to take the original point to the image point.

A → A'

B → B'

Unit 7: Geometry continued



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5. Rotate the figure 90° clockwise around the origin by first rotating the vertices. Find the coordinates of the vertices of both figures.

J (___,___) J' (___,___)

K (___,___) K' (___,___)

L (___,___) L' (___,___)

M (___,___) M' (___,___)

6. Describe a single transformation that takes shape A onto the

other shapes in the design. Specify the mirror line or the centre of rotation or the amount and the direction of translation.

a) Shape B ____________________________________

b) Shape C ____________________________________

c) Shape D ____________________________________

d) Shape E _____________________________________

BONUS: Shape F _________________________________

7. Describe a sequence of two transformations that will map the quadrilateral WXYZ onto its image, W'X'Y'Z'.

BONUS Write the coordinates of the two points that are:

a) Located 4 units away, horizontally, from the point (–2, 2): (___,___) and (___,___)

b) Located 7 units away, vertically, from the point (–3, 1): (___,___) and (___,___)

y

x 1 2 3 4 5 -1 -2 -3 -4 -5

-1

1

2

3

4

0

W

X Y

Z

W'

X' Y'

Z'

y

x 5 10 15 20 –5 –10 –15 –20

–5

–10

–15

5

10

15

20

0

J

K

L

M

C A

E

y

–3 –2 –1 0 1 2 3

7

6

5

4

3

2

1

x

F

D

B




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1. a)

b) A' (-3, -2) B' (-4, -1)

2. a) IV

b) II

c) I

d) III

3. Horizontal distance

Vertical distance

0 7

5 0

0 5

4. a)

b) A → A': 4 units right, 7 units up B → B': 2 units right, 3 units down

5. J (-10, 20) J' (20, 10)

K (–20, 0) K' (0, 20)

L (–5, –5) L' (–5, 5)

M (–10, 5) M' (5, 10)

6. a) Reflection in the horizontal line through point (4, 0)

b) Reflection through the y-axis

c) Translation 4 units left and 4 units down

d) Rotation 180° clockwise (or counter-clockwise) around the point (4, 0)

BONUS Rotation 180° clockwise (or counter-clockwise) around the point (2, 6)

7. A reflection in the y-axis, followed by a translation 2 units right and 1 unit up.

BONUS

a) (-6, 2) and (2, 2)

b) (-3, -6) and (-3, 8)

-3

y

x 1 2 3 4 -1 -2 -4

-1

-2

-3

-4

1

2

3

4

0

A

A' B B'

-3

y

x 1 2 3 4 -1 -2 -4

-1

-2

-3

-4

1

2

3

4

0

A

B

B'

A'

5 10 15 20 –5 –10 –15 –20 –5

–10

–15

5

10

15

20

0

J

K

L

M L'

M' J'

K'


Test (Lessons 17 to 23) – WNCP Date: ______________


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SN

UP

U

1. For each spinner, write the probability of the given events.

a) P(Green) = _____ b) P(Blue) = _____

P(Blue) = _____ P(Yellow) = _____

2. Match the net for a die to the correct statement.

____ The probability of rolling a 4 is ≈ 0.33.

____ The probability of rolling an odd number is 23 .

A B

____ The probability of rolling a 2 is 50%.

____ The probability of rolling a 1 is the same as the probability of rolling a 6.

C D

3. Express the probability of spinning each result as a fraction, a decimal and a percent.

Fraction Decimal Percent

a) P(S) _____ _____ _____

b) P(U) _____ _____ _____

4. Create a tree diagram to show all of the possible outcomes from

first rolling a four-sided die (labelled 1, 2, 3, 4), then flipping a coin.

a) How many possible outcomes are there? ______

b) What is the probability of rolling a 2 and flipping tails? ______

c) What is the probability of rolling an odd number and flipping heads? ______

5. In your right pocket, you have a $5 bill and a $10 bill. In your left pocket, you have a $5 bill and a $20 bill. You reach into each pocket and pull out one bill.

a) List all possible outcomes in the table to the right.

b) What is the probability of pulling out a total of $10? ______

c) What is the probability of pulling out a total of at least $25? ______

Right Pocket

Left Pocket

R G

B

Y G

B GY

2 1 2 12

61 2 5 4

3

3

3 2 4 24

36 5 1 4

4

4

Unit 8: Probability and Data Management continued



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1

2 3

Z

XY

6. For the two spinners shown:

a) Show all the combinations you could spin on the two spinners.

b) How many ways can you spin an odd number on the first spinner and a Y on the second? ______

c) What is the probability of spinning the combination 2X? ______

7. For each of the following scenarios, write yes if the two events are independent and no if they are not. If the events are not independent, describe how to change the situation to make the events independent.

a) Flip a coin and roll a die: ______

b) Pull two playing cards from a deck, one after the other (without replacing the first card): ______

8. Suppose that you roll two 4-sided dice, each labelled 1, 2, 3, 4.

a) Create an organized list of all of the possible outcomes.

b) What is the probability of rolling:

i) a total of 4? ______ ii) a total of 3? ______

c) If you roll the dice 64 times, how many times would you expect to roll:

i) a total of 4? ______ ii) a total of 3? ______

BONUS Which of the possible totals is most likely to occur? ______




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1. a) P(Green) = 12

P(Blue) = 14

b) P(Blue) = 14

P(Yellow) = 38

2. C B A D

3. a) 15 0.2 20%

b) 25 0.4 40%

4. Heads 1 Tails Heads 2 Tails Heads 3 Tails Heads 4 Tails

a) 8

b) 18

c) 28 or 1

4

5. a) R 5 5 10 10

L 5 20 5 20

b) 14

c) 24 or 1

2

6. a) (1,X), (1,Y), (1,Z), (2,X), (2,Y), (2,Z), (3,X), (3,Y), (3,Z)

b) 2

c) 19

7. a) Yes

b) No – would be independent if the 1st card was replaced before drawing 2nd card

8. a) (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)

b) i) 316

ii) 216 = 1

8

c) i) 316 of 64 = 12

ii) 216 of 64 = 8

BONUS: 5

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