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ANSWERS Grade 9 Assessment of Mathematics • Applied LARGE PRINT Released Assessment Questions, 2018

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Page 1: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

ANSWERSGrade 9 Assessment of Mathematics • Applied

LARGE PRINT

Released Assessment Questions, 2018

Page 2: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

page 2

DIRECTIONS

Answering Multiple-Choice Questions

Answer all multiple-choice questions. If you fill in more than one answer to a question, or leave a question blank, the question will be scored zero. Incorrect answers will also be scored zero.

Answering Open-Response Questions

Do all of your work for each question in the space provided for the question only.

Write your solutions, including all calculations, clearly and completely.

ATTENTION:

There are more open-response questions in this booklet than in a regular booklet.

Page 3: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

page 3

You are now ready to start.

Record ALL your answers to

multiple-choice and open-response questions

in this booklet.

Page 4: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

page 4

Page 5: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Please read the questions in the Question Booklet; then fill in your answers below.

Multiple-Choice page 5

To indicate your answer, use a pencil to fill in the appropriate circle below completely.

Like this: Not like this:

Cleanly erase your answer if you wish to change it and fill in the circle for your new answer.

Fill in only one circle for each question.

1 a b c d

2 a b c d

3 a b c d

4 a b c d

5 a b c d

6 a b c d

7 a b c d

8 a b c d

9 a b c d

10 a b c d

11 a b c d

12 a b c d

Page 6: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 6

13 Pizza Time

A school holds a lunch fundraiser.

• The school has 350 students.

• 70% of the students order lunch.

• 15

of the students who order lunch select sandwiches.

• The rest of the students who order lunch select pizza.

Determine the number of students who order lunch and select pizza.

Show your work.

Page 7: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 7

The number of students who order lunch and select pizza is

_______________ .

Page 8: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 8

14 Soccer Ball in a Box

Soccer balls are packed in boxes. The box is in the shape of a cube, and the ball is in the shape of a sphere. The ball fits tightly inside the box.

r = 11 cm

V = 34 πr3

r is the radius

V = s3

s is the side length

22 cm

Page 9: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 9

Determine how much greater the volume of the box is than the volume of the ball.

Show your work.

The volume of the box is _______________________ cm3 greater than the volume of the ball.

Page 10: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 10

15 Food Card

Raj has a card that he uses to buy lunch at school. Each day he spends the same amount.

Information about the relationship between the amount of money left on the card, A, in dollars, and the number of days, n, is given below.

Number of days, nAmount of money

left on card, A($)

2

4

6

31

22

13

Page 11: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 11

Determine the initial value and the rate of change for this relationship.

Show your work.

Initial value: ____________________

Rate of change: ____________________

Page 12: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 12

16 Delivery Dilemma

The total cost to deliver a package with Quick Post is shown by this graph.

50 100 150 200 250 300 350 400450 500

5

10

15

20

25

30

35

40

45

50

d

C

0

Tota

l cos

t ($)

Total Cost vs. Delivery Distance

Delivery distance (km)

QuickPost

Page 13: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 13

The total cost to deliver a package with Post Packages is made up of a $10 initial fee and $0.10 per kilometre.

How much more will it cost to deliver a package a distance of 250 km with Post Packages than with Quick Post?

Show your work.

It will cost $_______________ more to deliver a package 250 km with Post Packages than with Quick Post.

Page 14: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 14

17 Gravel Pile

Gravel is stored in a cone-shaped pile with a radius of 7 m and a slant height of 12 m, as pictured below.

7 m

12 m

h = ?

Page 15: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 15

Determine the volume of gravel in the pile.

Show your work.

The volume of the gravel in the pile is _______________ m3.

Hint:Use the Pythagorean theorem.

Page 16: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 16

18 Champions!

A school banner hangs from a ceiling.

102°

86° 86°

x x

y

80°

CHAMPIONS

Page 17: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Open-Response page 17

Using geometric properties, determine the values of x and y. Justify your answers by showing your calculations or describing the geometric properties you have used.

x =

y =

ValueCalculations or descriptions of

geometric properties

Page 18: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

Please read the questions in the Question Booklet; then fill in your answers below.

Multiple-Choice page 18

To indicate your answer, use a pencil to fill in the appropriate circle below completely.

Like this: Not like this:

Cleanly erase your answer if you wish to change it and fill in the circle for your new answer.

Fill in only one circle for each question.

19 a b c d

20 a b c d

21 a b c d

22 a b c d

Page 19: Released Assessment Questions, 2018 ANSWERS · 2018-08-24 · Grade 9 Assessment of Mathematics Applied LARGE PRINT Released Assessment Questions, 2018. page 2 DRCTOS Answerin Multiple-Choice

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