1. finance
2. bank
3. bank account

SAMPLE QUESTIONS
Assessment Department
(Issued September 2004)
–1–
Essentials of Mathematics 10
Sample Questions
B
PERSONAL
BANKING
B1
name and describe various types of commonly used consumer
bank accounts
Clarification: As defined by the Essentials of Mathematics 10
textbook.
Knowledge
Prescribed Learning Outcomes – B1
REFER TO
DATA BOOKLET
Use the Bank Account Information in the Data Booklet
to answer questions 1 to 4.
Match each Term on the left with the best Example on the right.
Each Example may be used once, more than once or not at all.
Term
Example
1. Savings Account
A. Few transactions with high interest earned
2. Value Account
B.
Lots of service
C.
Few transactions using Web and ATMs
3. Self-Serve Account
D. Active account using Web and ATMs
4. Full-Serve Account
E.
High interest charged and unlimited transactions
F.
Free service at all ATMs
Answers
1.
2.
3.
4.
A
C
D
B
Assessment Department
(Issued September 2004)
–2–
Essentials of Mathematics 10
Sample Questions
REFER TO
DATA BOOKLET
Use the Bank Account Information in the
Data Booklet to answer question 5.
Understanding
Prescribed Learning Outcomes – B1
5. Jenny currently has $6500.00 in her Self-Serve Account. In September she wrote 12 cheques,
and paid 5 bills by phone. She also used her ATM card 7 times. If she still has $3250.45 left in
her account at the end of the month, her total service charge fee for the month will be $18.00.
*
A. True
B. False
Higher Mental Processes
Prescribed Learning Outcomes – B1
Use the following table to answer question 6.
Account type
Monthly fee
Cheque fee
Bill payment
st
ATM
st
Value
$2.95
• 1 15 cheques free
• Then $1.00/cheque
• Bills free
• 1 10 free
• Then $1.50/transaction
Self-Serve
$6.95
• 1st 10 cheques free
• Then $2.00/cheque
• First 2 bills free
• Then $0.50 each
• All free
Full-Serve
$9.95
• 1st 30 cheques free
• Then $2.00/cheque
• Bills free
• 1st 5 free
• Then $1.50/transaction
Savings
No fee
• No cheques
• $2.00 each
• No ATM
6. George is trying to choose a bank account. He writes 26 cheques, makes 3 deposits, pays
4 bills by telephone and withdraws cash from an ATM 7 times a month. Which is the best
account for him?
*
A.
B.
C.
D.
Value Account
Savings Account
Self-Serve Account
Full-Serve Account
Assessment Department
(Issued September 2004)
–3–
Essentials of Mathematics 10
Sample Questions
B
PERSONAL
BANKING
B2
complete various banking forms
Clarification: As defined by the Essentials of Mathematics 10
textbook.
Knowledge
Prescribed Learning Outcomes – B2
7. What is the length of time before a cheque becomes “stale”?
*
A.
B.
C.
D.
1 month
6 months
5 years
Cheques do not go “stale.”
Understanding
Prescribed Learning Outcomes – B2
8. Ben George writes a cheque for $15.00 to Vancouver Secondary School for his sweatshirt on
September 23, 2004.
Ben George
200 Any Street
Vancouver, BC VH5 4L3
Pay to the
order of:
I
December 31, 2001
15
Vancouver Secondary School
III
fifteen
/100
II
dollars
Any Bank
Your town
Province
IV
sweatshirt
Which portion of the cheque is filled out incorrectly?
*
A.
B.
C.
D.
II only
I and II
I, II and III
I, III and IV
Assessment Department
(Issued September 2004)
–4–
Essentials of Mathematics 10
Sample Questions
B
PERSONAL
BANKING
B3
describe the use of a bank card for atuomated teller machines (ATMs)
and debit payments
Knowledge
Prescribed Learning Outcomes – B3
9. There is usually an extra fee for using an ATM that does not belong to your bank.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – B3, B4
Use the following receipt to answer question 10.
Bank of Life
Card No. 012*****789
Date 2003/07/05
Time 11:45
Chequing Account
Withdrawal
75.62
Account Balance
462.84
ATM 765432
Transaction record
VA41-9039
10. Annette’s initial account balance was $540.46. Why might there be a discrepancy in the
final balance?
*
A.
B.
C.
D.
Double withdrawal
ATM service charge
ATM computer error
No discrepancy with balances
Assessment Department
(Issued September 2004)
–5–
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – B3, E1
Use the following receipt to answer question 11.
Essential Bank
Card No. 012*****789
Date 2003/07/05
Chequing Account
Withdrawal
Account Balance
Time 11:45
ATM 765432
75.62US
280.42US
Transaction record
VA41-9039
11. The day Bob withdrew the cash, $1.00 Cdn was worth $0.66 US. What was his original
account balance in Canadian dollars?
*
A.
B.
C.
D.
234.99
356.04
424.88
539.45
Assessment Department
(Issued September 2004)
–6–
Essentials of Mathematics 10
Sample Questions
B
PERSONAL
BANKING
B4
identify different types of bank service charges and their
relative costs
Knowledge
Prescribed Learning Outcomes – B4, B3
Match each Term on the left with the correct Example on the right.
Each Example may be used once, more than once or not at all.
Term
12. Service charge
Example
A. To take out more money than is in your
account
13. Waive
B.
A fee that the bank charges to your
account for its services
C.
To take out money from more than one
account
14. Interac
15. Overdraw
D. To transfer money between accounts
E.
No service fee
F.
A computer network that gives people
access to their money through banking
machines and direct payment
Answers
12.
13.
14.
15.
B
E
F
A
Assessment Department
(Issued September 2004)
–7–
Essentials of Mathematics 10
Sample Questions
REFER TO
DATA BOOKLET
Use the Bank Account Information in the
Data Booklet to answer questions 16 and 17.
Understanding
Prescribed Learning Outcomes – B4, B1
16. Suzie has a Self-Serve Account and has selected a monthly statement with no cheque returns.
In September she wrote 12 cheques, paid 5 bills by phone and used her ATM 7 times. What
were her service charges for the month of September if she maintains a monthly balance of less
than $1500.00?
Answer
10.95
Higher Mental Processes
Prescribed Learning Outcomes – B4, B1
17. Sonya has a Savings Account in which she has a total of $2473.26. She is saving for a trip.
She should change the account before she leaves. She will be using her debit card to obtain cash
eight times while away. Which account would be the best for Sonya?
*
A.
B.
C.
D.
Value Account
Savings Account
Full-Serve Account
Self-Serve Account
Assessment Department
(Issued September 2004)
–8–
Essentials of Mathematics 10
Sample Questions
B
PERSONAL
BANKING
B5
reconcile financial statements, such as chequebooks and electronic
bank transactions with bank statements
Knowledge
Prescribed Learning Outcomes – B5
18. To reconcile a bank statement is to make one account record consistent with another.
*
A. True
B. False
Assessment Department
(Issued September 2004)
–9–
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – B5
Match the number from the Transaction Record with
the corresponding letter from the Statement of Account.
Transaction Record
Cheque #
Date
Description
19.
Deposit
27/05
Paycheque
20.
Cheque #92
28/05
Loan
Payment
Cheque #93
Payment/
Debit
Deposit/
Credit
$500.00
Balance
750.10
350.00
400.10
Destroyed
21.
Cheque #94
28/05
Rent
22.
Cheque #95
28/05
Phone
23.
Deposit
29/05
Inheritance
1600.00
–1199.90
275.15
–1475.05
1500.00
24.95
Statement of Account
Description
Withdrawal
Deposit
Date
Balance
26/05
250.10
27/05
750.10
A
Balance Forward
B
Deposit
C
Cheque #92
350.00
28/05
400.10
D
Cheque #95
275.15
28/05
124.95
E
OD Fee
6.00
29/05
118.95
F
Deposit
29/05
1618.95
G
Monthly Fee
4.95
31/05
1614.00
H
Cheque #94
1600.00
01/06
14.00
500.00
1500.00
Answers
19.
20.
21.
22.
23.
B
C
H
D
F
Assessment Department
(Issued September 2004)
– 10 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – B5
Use the following tables to answer question 24.
Statement of Account
Balance Forward
Withdrawal
Deposit
Date
Balance
100.01
Deposit
500.00
01/06
600.01
Cheque 17
43.17
02/06
556.84
Cheque 18
36.21
03/06
520.63
Service charge
10.00
03/06
510.63
Transaction Record
Cheque #
Date
Description
Payment/
Debit
Deposit/
Credit
Balance
100.01
Deposit
01/06
Pay
500.00
600.01
Cheque 17
01/06
BC Hydro
43.71
556.30
Cheque 18
01/06
Telus
36.21
520.09
Cheque 19
01/06
Rent
400.00
120.09
24. Which best explains why the statement of account does not balance with the transaction record?
I.
II.
*
A.
B.
C.
D.
Service charge not recorded
Cheque not cleared
III.
Personal recording error
IV.
Calculation error
I and II
II and III
I, II and III
I, III and IV
Assessment Department
(Issued September 2004)
– 11 –
Essentials of Mathematics 10
Sample Questions
C
WAGES,
SALARIES
& EXPENSES
C1
calculate hours worked and gross pay
Knowledge
Prescribed Learning Outcomes – C1
Use the following clocks to answer question 25.
12
12
9
•
9
3
•
3
6
6
A.M. Start Time
P.M. Finish Time
25. If Paul works Monday to Friday what are his total hours for the week?
*
A. 7
B. 21
C. 35
D. 40
Understanding
Prescribed Learning Outcomes – C1
26. Philip works at a hamburger restaurant four days per week. His shift runs from 11:00 to 16:30.
If he earns $8.25 per hour, he will earn $148.50 in 1 week.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 12 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – C1
27. Employees at Gerry’s Tape Shop have a choice of 2 different pay plans.
Plan A
15 h per week at $8 h plus 10% of sales
Plan B
$90.00 per week plus 15% of sales
You can expect your average sales per week to be $1400 per week. Which plan would pay you
more money?
*
A. Plan A
B. Plan B
C. Both plan A and B are equal
Assessment Department
(Issued September 2004)
– 13 –
Essentials of Mathematics 10
Sample Questions
C
WAGES,
SALARIES
& EXPENSES
C2
calculate net income using deduction tables (focus on weekly) with
different pay periods
Knowledge
REFER TO
DATA BOOKLET
Prescribed Learning Outcomes – C2
Refer to the Deduction Tables in the Data Booklet to answer
questions 28 and 29.
28. Which table is used to find deductions regardless of the length of the pay period?
A.
B.
C.
D.
*
Federal Tax (Federal Tax)
EI (Employment Insurance)
CPP (Canada Pension Plan)
Provincial Tax (British Columbia Provincial Tax)
Understanding
Prescribed Learning Outcomes – C2
29. Cheri earns $10 h and works a 40-hour week. What is Cheri’s Federal Tax deduction if her
Claim Code is 1?
Answer
36.15
Higher Mental Processes
Prescribed Learning Outcomes – C2
30. Part-time employee Charlie states, “Working overtime is pointless—the government taxes it all
away anyway.” Which of the following strategies could best verify his statement?
*
A.
B.
C.
D.
Check the net pay of someone who works overtime.
Multiply Charlie’s tax deduction by 1.5 to find overtime tax.
Use deduction tables to find the effect of higher income on taxes deducted.
Compare Charlie’s gross pay when he worked overtime with when he didn’t work overtime.
Assessment Department
(Issued September 2004)
– 14 –
Essentials of Mathematics 10
Sample Questions
C
WAGES,
SALARIES
& EXPENSES
C3
calculate changes in income
Knowledge
Prescribed Learning Outcomes – C3
31. Nick receives a 10% increase to his wage of $7.00 h . Which of the following describes how to
find his increase?
*
A.
B.
C.
D.
10 divided by 7
10 multiplied by 7
0.10 divided by 7
0.10 multiplied by 7
Understanding
Prescribed Learning Outcomes – C3
Use the following chart to answer question 32.
Original Wage
New Wage
$8.50 h
$9.50 h
32. Nikki’s salary has increased by 10%.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 15 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
33.
Prescribed Learning Outcomes – C3
John is offered two jobs. In Job A he earns $2500 month . In Job B he earns $1500 month
plus 10% commission.
What must his commission sales reach in order for his total salary in Job B to equal that in Job A?
*
A.
150
B.
250
C. 1 000
D. 10 000
Assessment Department
(Issued September 2004)
– 16 –
Essentials of Mathematics 10
Sample Questions
C
WAGES,
SALARIES
& EXPENSES
C4
develop a budget that matches predicted income
Knowledge
Prescribed Learning Outcomes – C4
34. Predicted income uses net pay instead of gross pay.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – C4
35. Mary earns $135 month . Her total yearly expenses are $350. She is able to save $1250 per year
for college.
*
A. True
B. False
Higher Mental Processes
Prescribed Learning Outcomes – C4
36. Janine earns $30 000 a year. She can only use 30% of her income towards rent. How much rent
can she afford per month?
*
A.
$75.00
B.
$750.00
C.
$900.00
D. $9000.00
Assessment Department
(Issued September 2004)
– 17 –
Essentials of Mathematics 10
Sample Questions
D
SPREADSHEETS
D1
create a spreadsheet using various formatting options
Clarification: Identify and use the various components of
the spreadsheet.
Knowledge
Prescribed Learning Outcomes – D1
Use the following chart to answer question 37.
I.
II.
Highlight cells A1 to A3
Choose cells
III.
Choose format option
IV.
Choose font
37. To change the font in cells A1, A2 and A3, what is the correct order for the steps shown above?
*
A.
B.
C.
D.
I, III, II, IV
II, IV, I, III
III, II, I, IV
IV, III, II, I
Assessment Department
(Issued September 2004)
– 18 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – D1
Match each Item on the left with the correct Task on the right.
Each Task may be used once, more than once or not at all.
Item
Task
38. Make a dollar amount
A. Highlight; format; cells; patterns
39. Insert a picture
B.
Highlight; format; cells; number
40. Bold items in a row
C.
Highlight; format; cells; font
41. Colour in rows
D. Picture; clipart; click and drag
E.
Highlight; format; picture; clipart; select
F.
Highlight; number; format; currency
Answers
38.
39.
40.
41.
B
D
C
A
Assessment Department
(Issued September 2004)
– 19 –
Essentials of Mathematics 10
Sample Questions
D
SPREADSHEETS
D2
use a spreadsheet template to solve problems
Knowledge
Prescribed Learning Outcomes – D2
Use the following spreadsheet to answer question 42.
A
1
2
B
C
D
E
length
width
lw
2l + 2w
2
4
8
12
rectangle
3
4
5
6
42. Which cell shows the value of the area of a rectangle?
*
A.
B.
C.
D.
B2
C2
D2
E2
Understanding
Prescribed Learning Outcomes – D2, D3
Use the following table to answer question 43.
1
2
Birds
3
Strikers
A
B
C
D
wins
losses
ties
points
Win = 2 points; Tie = 1 point; Loss = 0 points
43. The Birds have 3 wins, 4 ties and 0 losses. The Strikers have 4 wins, 2 ties and 1 loss.
Choose a formula to find the Birds’ points.
*
A.
B.
C.
D.
=
=
=
=
B3 + C3
A2 + C2
A2 * 2 + C2
A3* 2 + B2
Assessment Department
(Issued September 2004)
– 20 –
Essentials of Mathematics 10
Sample Questions
REFER TO
DATA BOOKLET
Refer to the Deduction Tables in the Data Booklet to answer question 44.
Higher Mental Processes
Prescribed Learning Outcomes – D2, D4
Use the following spreadsheet to answer question 44.
A
B
C
D
1
Item
Price
($)
Quantity
Total
($)
2
T-shirt
15.99
20
319.80
3
Shorts
23.99
10
239.90
4
Socks
6.99
30
5
Subtotal
6
GST
7
PST
8
Total
E
F
G
H
I
J
877.12
44. In which province were these items purchased?
*
A.
B.
C.
D.
Ontario
Manitoba
Nova Scotia
British Columbia
Assessment Department
(Issued September 2004)
– 21 –
Essentials of Mathematics 10
Sample Questions
D
SPREADSHEETS
D3
create a spreadsheet using formulae and functions
Clarification: Identify and write formulae and functions.
Knowledge
Prescribed Learning Outcomes – D3
Match each Symbol on the left with the correct Name on the right.
Each Name may be used once, more than once or not at all.
Symbol
Name
45. +
A. Multiplication
46. *
B.
Division
47. /
C.
Brackets
48. –
D. Exponents
49. ^
E.
Addition
F.
Subtraction
G. Cell
H. Formula
Answers
45.
46.
47.
48.
49.
E
A
B
F
D
Assessment Department
(Issued September 2004)
– 22 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – D3
Use the following spreadsheet to answer question 50.
A
B
C
1
Item
# of
Items
Cost of
Items
($)
Total
($)
2
Watches
25
10.00
250.00
3
Rings
30
20.00
600.00
4
Bracelets
30
15.00
450.00
5
Necklaces
30
10.00
300.00
6
D
Total
Cost
E
F
G
H
I
J
K
L
1600.00
50. Which of the following is the formula in cell E6?
*
A.
B.
C.
D.
= SUM (E1: E5)
= SUM (C1: C5)
= SUM (E2 : E5)
= SUM (E2 * E5)
Assessment Department
(Issued September 2004)
– 23 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – D3, D2
51. The final mark in Essentials of Mathematics 10 is calculated by adding 80% of the school mark
and 20% of the provincial exam mark.
A
B
C
D
1
Name
School
Exam
Final
2
Shona
80
70
3
Alyce
70
65
4
Bobby
85
80
5
Vince
65
55
6
Sally
50
40
7
The formula for cell D3 is entered as = 0.20 * B3 + 0.80 * C3.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 24 –
Essentials of Mathematics 10
Sample Questions
D
SPREADSHEETS
D4
use a spreadsheet to answer “what-if” questions
Understanding
Prescribed Learning Outcomes – D4
52. Given a spreadsheet to determine income tax, a person can use the spreadsheet the following
year even if their income changes but tax rules remain the same.
*
A. True
B. False
Higher Mental Processes
Prescribed Learning Outcomes – D4
53. The following spreadsheet shows wages for a salesperson earning $7 h for 40 h plus 10%
commission on all sales.
A
B
1
Sales ($)
Wages
2
1000
= 7 * 40 + 0.10 * A2
If the hourly rate increases by $1 and the commission increases to 12%, the new formula for
cell B2 is entered as = 8 * 40 + 0.12 * A2 .
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 25 –
Essentials of Mathematics 10
Sample Questions
D
SPREADSHEETS
D5
identify where spreadsheets could be effectively used
Knowledge
Prescribed Learning Outcomes – D5
54. When would a spreadsheet be used?
I.
II.
*
A.
B.
C.
D.
To organize data
To manipulate data
III.
To record data
IV.
To make calculations
I only
I and IV
I, II and III
All of the above
Understanding
Prescribed Learning Outcomes – D5
55. What are the advantages of using computerized spreadsheets over paper-and-pencil techniques
when completing tables requiring calculations?
*
A.
B.
C.
D.
They are faster than tables.
They are less likely to make arithmetic errors.
Spreadsheets automatically recalculate if numbers in cells are changed.
All of the above.
Higher Mental Process
Prescribed Learning Outcomes – D5
56. When calculating the area of a rectangular living room, the spreadsheet feature of a computer
would be more efficient than the use of a calculator.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 26 –
Essentials of Mathematics 10
Sample Questions
E
RATES,
RATIO AND
PROPORTION
E1
use the concept of unit rate to determine the best buy on a consumer
item and justify the decision
Clarification: Includes concept and calculation of unit rate.
Knowledge
Prescribed Learning Outcomes – E1
57. A supermarket sells natural spring water at $3.69 for 12 bottles. Which of the following will
calculate the unit price of 1 bottle of water in dollars?
*
A.
B.
C.
D.
12 divided by 369
369 divided by 12
12 divided by 3.69
3.69 divided by 12
Understanding
Prescribed Learning Outcomes – E1
58. Orange juice comes in 2 sizes. The smaller size sells at 89¢ for 375 mL, while the larger size
sells at $1.09 for 500 mL. Which is a better buy, and by how much?
*
A.
B.
C.
D.
smaller size by 0.02¢/mL
larger size by 0.02¢/mL
larger size by 0.38¢/mL
they both cost the same
Assessment Department
(Issued September 2004)
– 27 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – E1
Use the following table to answer question 59.
At a department store, socks sell according to the following table:
Quantity
Price
1 package of 1 pair
$2.99
1 package of 2 pairs
$5.50
1 package of 3 pairs
$7.99
59. Jane wants to buy 7 pairs of socks. Which combination of packages is the least expensive?
Record your answer neatly on the response form as a 3-digit number.
• 1st digit represents the number of packages of one pair
• 2nd digit represents the number of packages of two pairs
• 3rd digit represents the number of packages of three pairs
Answer
102
E
RATES,
RATIO AND
PROPORTION
E2
solve problems on the application of sales tax in Canada
Knowledge
Prescribed Learning Outcomes – E2
60. The PST in Quebec is 7.5%. What decimal equivalent would be used in calculating the amount
of the PST?
*
A.
B.
C.
D.
0.0075
0.075
0.75
7.5
Assessment Department
(Issued September 2004)
– 28 –
Essentials of Mathematics 10
Sample Questions
REFER TO
DATA BOOKLET
Use the Sales Taxes in Canada map in the Data Booklet
to answer questions 61 to 63.
Understanding
Prescribed Learning Outcomes – E2
Match each Item and Price on the left with the correct Total Cost on the right.
Each Total Cost may be used once, more than once or not at all.
Item and Price
Total Cost
61. CD player purchased in QC—$475.00
A. $543.88
62. Speakers purchased in Ontario—$242.00
B.
$322.50
63. Telephone purchased in New Brunswick—$215.00
C.
$278.30
D. $277.09
E.
$247.25
F.
$541.50
Answers
61. A
62. C
63. E
Higher Mental Processes
Prescribed Learning Outcomes – E2
64. A DVD player is advertised for $229.99. If you purchased the player in Alberta rather than
Quebec, you could save $16.10.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 29 –
Essentials of Mathematics 10
Sample Questions
E
RATES,
RATIO AND
PROPORTION
E3
describe a variety of sales promotion techniques and their financial
implications for the consumer
Clarification: Focus on coupons and discounts.
Knowledge
Prescribed Learning Outcomes – E3
65. “Buy one get one free” is a sales promotion technique.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – E3
66. Julie lives in Vernon, BC. She buys a computer which is on sale for $1375. If the original
price of the computer was $1550, she saves 13% of the original price.
*
A. True
B. False
REFER TO
DATA BOOKLET
Use the Sales Taxes in Canada map in the Data Booklet
to answer question 67.
Higher Mental Processes
Prescribed Learning Outcomes – E3
67. Jasdev can purchase the same motorcycle in two different provinces. The price in Alberta is
$8250.00 while the price in Quebec is $8850.00. The store in Quebec is having a promotion
advertising that customers will pay no tax. What is the final price difference between the two
provinces?
*
A.
$22.50
B. $577.50
C. $600.00
D. $1305.75
Assessment Department
(Issued September 2004)
– 30 –
Essentials of Mathematics 10
Sample Questions
E
RATES,
RATIO AND
PROPORTION
E4
solve rate, ratio, and proportion problems involving length, area,
volume, time, mass, and rates derived from these
Knowledge
Prescribed Learning Outcomes – E4
Match the Ratio in the left column with its Equivalent Unit Ratio in the right column.
Each Equivalent Unit Ratio may be used once, more than once or not at all.
Ratio
Equivalent Unit Ratio
68. 18 : 9
A. 2 : 1
69. 32 : 4
B.
6:3
70. 5 : 4
C.
1 : 1.25
D. 1 : 8
E.
8:1
F.
1.25 : 1
Answers
68. A
69. E
70. F
Assessment Department
(Issued September 2004)
– 31 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – E4
71. The ratio of length to width of a rectangle is 5 : 4. If the length of the rectangle is 20 cm,
what is the width of the rectangle?
*
A.
B.
C.
D.
12 cm
15 cm
16 cm
25 cm
Higher Mental Processes
Prescribed Learning Outcomes – E4
72. Mandeep wants to construct a model of a building that is 225 m high. The model has to be
no more than 1.5 m high. Which of the following ratios will work?
*
A.
B.
C.
D.
I.
1 : 150
II.
1 : 125
III.
1 : 175
IV.
1 : 200
I only
I and II
III and IV
I, III and IV
Assessment Department
(Issued September 2004)
– 32 –
Essentials of Mathematics 10
Sample Questions
F
TRIGONOMETRY
F1
apply ratio and proportion in similar triangles
Knowledge
Prescribed Learning Outcomes – F1
Use the following diagrams to answer question 73.
L
A
B
C
M
N
73. The length of side AB is proportional to the length of side LN.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 33 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – F1
Use the following diagrams to answer question 74.
Y
2.5 cm
A
X
7 cm
Z
B
5 cm
C
74. What is the length of side XZ?
Answer
3.5
Higher Mental Processes
Prescribed Learning Outcomes – F1
75. The length of a shadow cast by a maple tree is 12 m. At the same time, the length of a shadow
cast by a 1.5 m sunflower plant is 2 m. The maple tree is 9 m tall.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 34 –
Essentials of Mathematics 10
Sample Questions
F
TRIGONOMETRY
F2
use the trigonometric ratios sine, cosine, and tangent in solving
right triangles
Clarification: Angle measurements will be given in degrees.
Knowledge
Prescribed Learning Outcomes – F2
Use the following diagram to answer questions 76 to 78.
A
5
3
C
B
4
Match each Trigonometric Ratio on the left with the correct Number Ratio on the right.
Each Number Ratio may be used once, more than once or not at all.
Trigonometric Ratio
76. sin B
Number Ratio
A.
4
5
B.
4
3
C.
5
3
D.
3
5
E.
3
4
77. cos A
78. tan B
Answers
76. D
77. D
78. E
Assessment Department
(Issued September 2004)
– 35 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – F2
Use the following diagram to answer question 79.
60∞
40
x
79. Which equation determines the value of side x?
*
A.
x = 40 cos 60∞
B.
x = 40 sin 60∞
C.
x = 60 sin 40∞
D.
x = cos 60∞
40
Higher Mental Processes
Prescribed Learning Outcomes – F2
80. To calculate the distance from A to B across Goose Lake, Sohan took sightings from points A
and C, and measured the distance A to C. He found that AC = 200 m , –C = 70∞ , –A = 90∞ .
What is the distance of AB in metres (accurate to one decimal place)?
Answer
549.5
Assessment Department
(Issued September 2004)
– 36 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G1
measure lengths using both SI Metric and Imperial units
Clarification: Includes appropriate use of units and their conversions.
Knowledge
Prescribed Learning Outcomes – G1
Match each Item on the left with the correct Unit on the right.
Each Unit may be used once, more than once or not at all.
Item
Unit
81.
Volume
A.
m3
82.
Area
B.
ppm
83.
Linear dimension
C.
yard
D.
km h
E.
ms
F.
cm2
Answers
81. A
82. F
83. C
Assessment Department
(Issued September 2004)
– 37 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – G1
Use the following diagram to answer question 84.
Inches
Centimetres
1
2
1
2
3
4
5
3
6
7
5
4
8
9
10
11
12
13
6
14
15
84. What is the length of the key?
*
A. 1
5
inches
8
B. 1
3
inches
4
1
C. 1 inches
2
D. 3
1
inches
8
Assessment Department
(Issued September 2004)
– 38 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – G1, G2
85. Rank the following measuring devices, from most appropriate to least appropriate, if they are
to be used to measure the length of a classroom.
I.
II.
*
A.
B.
C.
D.
25-m tape measure
6-inch ruler
III.
yard stick
IV.
estimate
I, III, II, IV
II, III, I, IV
III, I, II, IV
IV, I, III, II
Assessment Department
(Issued September 2004)
– 39 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G2
estimate measurements of objects in SI and Imperial systems including
length, area, volume, and mass
Knowledge
Prescribed Learning Outcomes – G2
Match each Term on the left with the correct Definition on the right.
Each Definition may be used once, more than once or not at all.
Term
Definition
86. Circumference
A. The amount of space occupied by the object
87. Area
B.
The measure of a region
88. Surface area
C.
The area of the entire surface of a
three-dimensional object
89. Volume
D. The distance across a circle
E.
The distance around a circle
Answers
86.
87.
88.
89.
E
B
C
A
Assessment Department
(Issued September 2004)
– 40 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – G2, G5, G7
90. A classroom which measures 20 m wide, 25 m long and 4 m high has more volume than a
classroom 15 m wide, 30 m long and 4 m high.
*
A. True
B. False
Higher Mental Processes
Prescribed Learning Outcomes – G2, G7
91. A rectangular field has an area of 240 m2 . If the length is doubled and the width is halved,
what is the new area in square metres?
Answer
240
Assessment Department
(Issued September 2004)
– 41 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G3
draw top, front and side views for both 3-D rod or block objects and
their sketches
Clarification: Includes recognition.
Knowledge
Prescribed Learning Outcomes – G3
Use the following diagram to answer questions 92 to 94.
Top
e
Sid
Front
Match each Question on the left with the correct View on the right.
Each View may be used once, more than once or not at all.
Question
92. What is the top view?
View
A.
93. What is the side view?
94. What is the front view?
B.
C.
D.
E.
Answers
92. C
93. A
94. B
Assessment Department
(Issued September 2004)
– 42 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – G3
Use the following diagram to answer question 95.
Side
Front
95. Given the 3-dimensional rod design, identify the end view.
A.
C.
Assessment Department
(Issued September 2004)
*
B.
D.
– 43 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – G3
Match each 3-Dimensional Drawing on the left with the correct Top View on the right.
Each Top View may be used once, more than once or not at all.
3-Dimensional Drawing
Top View
A.
96.
B.
97.
C.
98.
D.
E.
Answers
96. E
97. C
98. B
Assessment Department
(Issued September 2004)
– 44 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G4
sketch and build 3-D designs using isometric dot paper
Clarification: Includes recognition.
Knowledge
Prescribed Learning Outcomes – G4
99. Which of the following is isometric dot paper?
*
A.
B.
C.
D.
Assessment Department
(Issued September 2004)
– 45 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – G4
100. Which two points must be included with the indicated dots (
drawing of the cube on isometric dot paper?
) to complete the isometric
F
B
C
E
D
A
*
A.
B.
C.
D.
A and C
B and D
A, B, C and D
B, D, E, and F
Assessment Department
(Issued September 2004)
– 46 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – G4
Use the following diagram to answer question 101.
101. Remove the shaded rod from the figure above. Which of the following are possible isometric
figure representations? (The remaining figure cannot be rotated.)
I.
*
A.
B.
C.
D.
II.
III.
IV.
III only
I and III only
III and IV only
All of the above
Assessment Department
(Issued September 2004)
– 47 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G5
determine the relationships among linear scale factors, areas,
surface areas, and volumes of similar figures and objects
Knowledge
Prescribed Learning Outcomes – G5
102. Normally, the scale of 1: 50 means 1 unit on the model represents 50 units on the actual object.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – G5
103. If the total surface area of a cube is 150 cm2 , what is the length of the side of the cube?
*
A.
5 cm
B. 12.5 cm
C. 25 cm
D. 144 cm
Higher Mental Processes
Prescribed Learning Outcomes – G5
104. If the sides of a cube are doubled, the volume of the cube is
*
A.
B.
C.
D.
multiplied by 2.
multiplied by 4.
multiplied by 6.
multiplied by 8.
Assessment Department
(Issued September 2004)
– 48 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G6
enlarge or reduce a dimensional object according to a specific scale
Knowledge
Prescribed Learning Outcomes – G6
105. The scale 1: 3 is an enlargement of the object rather than a reduction.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – G6
106. A map of the schoolyard uses a scale of 1 cm : 8 m . If the length of the building is 144 m,
how long is the drawing of the building on the map?
*
A. 8 cm
B. 18 cm
C. 8 m
D. 18 m
Assessment Department
(Issued September 2004)
– 49 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – G6
107. A contractor takes a rectangular floor plan as shown in the diagram and makes a mistake in
applying the scale factor.
5 cm
4 cm
Scale 1 cm : 4 m
He ends up making the actual floor 16 m by 25 m. By what percent did the area of the actual
floor turn out to be too big?
*
A. 20%
B. 25%
C. 80%
D. 125%
Assessment Department
(Issued September 2004)
– 50 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G7
solve problems involving linear dimensions, area, and volume
Understanding
Prescribed Learning Outcomes – G7
108. A single square tile measures 50 cm by 50 cm. How many tiles are required to cover a patio
floor measuring 6 m by 8 m?
*
A. 12
B. 52
C. 96
D. 192
Higher Mental Processes
Prescribed Learning Outcomes – G7, G5
109. The radius of a tennis ball is 3 cm and the radius of a soccer ball is 10 cm . What is the ratio
of the volume of the tennis ball to the volume of the soccer ball?
*
A.
3
10
B.
1
100
C.
9
100
D.
27
1000
Assessment Department
(Issued September 2004)
– 51 –
Essentials of Mathematics 10
Sample Questions
G
GEOMETRY
PROJECT
G8
interpret drawings and use the information to solve problems
Knowledge
Prescribed Learning Outcomes – G8
110. What is the missing dimension x?
6
4
15
x
*
A. 4
B. 5
C. 6
D. 10
Assessment Department
(Issued September 2004)
– 52 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – G8
Use the following diagram of a rectangular prism to answer questions 111 to 113.
7 cm
6 cm
5 cm
Match each Question on the left with the correct Answer on the right.
Each Answer may be used once, more than once or not at all.
Question
Answer
111. Find the volume.
3
A. 210 cm
112. Find the surface area.
B. 22 cm
113. Find the perimeter of the base.
2
C. 214 cm
D. 210 cm
3
E. 18 cm
2
F. 210 cm
G. 214 cm
H. 18 cm
Answers
111. A
112. C
113. B
Assessment Department
(Issued September 2004)
– 53 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – G8
114. Two open containers are shown below.
0.75 feet
0.5 feet
2.5 feet
1.5 feet
3.0 feet
6.0 feet
How much money could be saved by building the less expensive box, if the material cost is
$4.00 per square foot?
*
A.
$3.00
B. $12.00
C. $77.00
D. $102.00
Assessment Department
(Issued September 2004)
– 54 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H1
read and interpret graphs
Knowledge
Prescribed Learning Outcomes – H1
Use the following graph to answer question 115.
Favourite Foods
10
8
Students
Polled
6
4
2
Fries
Burgers
Pizza
115. Fourteen students were polled in the survey above.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 55 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – H1
116. What number best fits the blank?
(5, ___)
(3, 9)
(2, 4)
(1, 1)
*
A. 10
B. 13
C. 25
D. 256
Assessment Department
(Issued September 2004)
– 56 –
Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – H1
Use the following graphs to answer question 117.
School B
10
10
8
8
Distance in km
Distance in miles
School A
6
4
2
10
20
6
4
2
10
30
Number of students
20
30
Number of students
117. Which student body travels a greater total distance to school?
*
A.
B.
C.
D.
Students from School A travel farther.
Students from School B travel farther.
Both student bodies travel the same total distance.
Not enough information.
Assessment Department
(Issued September 2004)
– 57 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H2
discuss how collected data are affected by the nature of the sample,
the method of collection, the sample size and biases
Knowledge
Prescribed Learning Outcomes – H2, H4
Use the following information to answer question 118.
Student Council designed the survey below.
What is your favourite music?
Rock
Heavy Metal
Hip Hop
Jazz
50 people were randomly selected at the
local mall and the following results were obtained:
Rock
Heavy Metal
Hip Hop
Jazz
Total
21
7
10
12
50
118. This was an appropriate sample.
*
A. True
B. False
Assessment Department
(Issued September 2004)
– 58 –
Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – H2, H3
119. A researcher was trying to evaluate student performance in mathematics at a high school.
How could he collect the data and, at the same time, respect the students’ right to privacy?
A. The researcher could give an exam to all students.
B. The researcher could interview each student individually.
C. The researcher could use the marks of the students who volunteered
to be involved in the study.
*
D. The researcher could ask the school to supply the marks list with the
student identities removed.
Higher Mental Processes
Prescribed Learning Outcomes – H2, H3
120. What is important to consider when creating a survey on the question:
“Does pet ownership enhance the quality of life for senior citizens?”
I.
II.
*
A.
B.
C.
D.
The location of the pet owner
Identify ethical problems
III.
The need for sensitivity to personal and cultural beliefs
IV.
The cost of designing questions and collecting data
I and II
I and IV
III and IV
II, III and IV
Assessment Department
(Issued September 2004)
– 59 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H3
describe issues to be considered when collecting data (e.g., appropriate
language, ethics, cost, privacy, cultural sensitivity)
Knowledge
Prescribed Learning Outcomes – H3
121. An anonymous survey on bullying given to a group of grade 10 students should require names
of respondents.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – H3
122. Identify which questions can be placed on an anonymous survey for grade 10 students regarding
physical education.
I.
II.
*
A.
B.
C.
D.
Name
How often do you exercise a week?
III.
What are your favourite sports activities?
IV.
Are you willing to wear a helmet during activities?
II, III
I, II, III
II, III, IV
I, II, III, IV
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – H3
123. In a survey about attitudes towards smoking, the following question was asked:
“Do you believe that not smoking does not cause cancer?”
Which of the following best explains why this is a misleading question?
*
A.
B.
C.
D.
Smoking causes cancer.
Attitude is not mentioned.
The question is confusing.
Many smokers do not die of cancer.
Assessment Department
(Issued September 2004)
– 61 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H4
select, defend and use appropriate methods of collecting data:
– designing and using questionnaires
– interviews
– experiments
– research
Knowledge
Prescribed Learning Outcomes – H4
124. Paula wants to learn about the personal experiences of a veteran of the Gulf War.
Which method of collecting data would be most appropriate?
A.
B.
C.
D.
*
Survey
Interview
Experiment
Library research
Understanding
Prescribed Learning Outcomes – H4
Match each Sample on the left with the correct Example on the right.
Each Example may be used once, more than once or not at all.
Sample
Example
125. Simple random sample
A. Use a phone book and look at every 4th number.
126 Systematic sample
B. Teacher selects student names from a hat to come to
the blackboard.
127. Cluster sample
128. Stratified random sample
C. Ask grade 10 students about their favourite subject.
D. Select 6 students from each grade and ask about their
favourite music.
Answers
125.
126.
127.
128.
B
A
C
D
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – H4, H5
Use the following information to answer question 129.
A Prince George television station mailed a questionnaire to 300 families.
The questionnaire found the following:
1.
2.
Households in Prince George own a mean of 2.3 TV sets.
The mean income per family is $36 000 year . The median income is
$28 000 year .
129. Most families in Prince George are wealthy because they have more than one TV set.
*
A. Statement is always true.
B. Statement is sometimes true.
C. Statement is never true.
Assessment Department
(Issued September 2004)
– 63 –
Essentials of Mathematics 10
Sample Questions
H PROBABILITY
AND SAMPLING
H5
determine and use measures of central tendency to support decisions
Knowledge
Prescribed Learning Outcomes – H5
130. On a Math quiz, the marks for 10 students were:
6, 7, 9, 2, 6, 10, 8, 3, 9, 6
What is the mode?
*
A.
B.
C.
D.
6
6.5
6.6
7
Understanding
Prescribed Learning Outcomes – H5
131. John’s second term marks in Math are 80, 76, 83, 85, 70. The median is greater than the mean.
*
A. True
B. False
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – H5
132. Jacques orders running shoes for his store. What is the most appropriate measure of central
tendency? Rank in order from most to least appropriate.
*
H
A.
B.
C.
D.
mean—median—mode
median—mode—mean
mode—median—mean
mode—mean—median
PROBABILITY
AND SAMPLING
H6
use sample data to make predictions and decisions
Clarification: Includes simple probability as defined by the Essentials
of Mathematics textbook.
Knowledge
Prescribed Learning Outcomes – H6, H1
Use the following graph to answer question 133.
Cost of Cell Phones
$200
$150
$100
$50
0
’99
’00
’01
’02
’03
133. What was the cost of cell phones in 2002?
*
A. $60
B. $75
C. $80
D. $100
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – H6
134. Sixteen out of 20 students surveyed at Smithsonian High indicated that they did not want school
uniforms. Based on this survey, if the school population is 1200, how many are likely to say
they do not want school uniforms?
Answer
960
Higher Mental Processes
Prescribed Learning Outcomes – H6
Use the following table to answer question 135.
(The data in the table was obtained using the capture-mark-recapture method.)
Wolf Population
Week 1
Week 2
Initial number captured
and marked = 75
Caribou Population
Initial number captured
and marked = 62
Total number captured
= 150
Total number captured
= 120
Marked number captured
= 35
Marked number captured
= 20
135. Which herd has a higher population and by how much?
*
A.
B.
C.
D.
There are 51 more wolves than caribou.
There are 51 more caribou than wolves.
Both populations are equal.
Not enough information.
Assessment Department
(Issued September 2004)
– 66 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H7
use suitable graph types to display data (by hand or using technology)
Clarification: Circle graphs, bar graphs, histograms, broken-line graphs.
Knowledge
Prescribed Learning Outcomes – H7
Match each Graph on the left with the correct Graph Type on the right.
Each Graph Type may be used once, more than once or not at all.
Graph
No. of students
136.
Graph Type
45
40
35
30
25
20
15
10
5
Red
138.
Temp. in ∞Celsius
No. of students
137.
Blue Yellow White
10
9
8
7
6
5
4
3
2
1
4
4.8
5
Jan.
Feb.
Mar.
A.
Broken Line
B.
Circle Graph
C.
Tree Diagram
D.
Bar Graph
E.
Stem Leaf Diagram
F.
Histogram
5.8
40
30
20
10
Apr.
139.
Grade 9
34%
Grade 10
38%
Grade 11
28%
Answers
136. D
137. F
138. A
139. B
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Understanding
Prescribed Learning Outcomes – H7
140. The Brown family’s monthly income of $3800 is distributed as follows: 30% for rent, 25% for
food, 20% for recreation, 10% for bill payments, 10% for savings and 5% for car loan.
Brown Family Budget
Food
25%
Car Loan 5%
Bill Payment 10%
10%
20%
Savings
30%
Rent
Recreation
The pie chart is a true representation of how the Brown family distributes its monthly income.
*
A. True
B. False
Assessment Department
(Issued September 2004)
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Essentials of Mathematics 10
Sample Questions
Higher Mental Processes
Prescribed Learning Outcomes – H7
141. The following were collected with a telephone survey of 1000 people. Each person was
asked to name his or her favourite spectator sport.
Favourite Sport
Number
Hockey
450
Football
240
Baseball
120
Soccer
58
Volleyball
24
Other
108
Total
1000
Which angle size is representative of the population that prefers soccer?
*
A.
20.9∞
B.
38.9∞
D.
C.
43.2∞
Assessment Department
(Issued September 2004)
86.4∞
– 69 –
Essentials of Mathematics 10
Sample Questions
H
PROBABILITY
AND SAMPLING
H8
critique ways in which statistical information and conclusions are
presented by the media and other sources
Knowledge
Prescribed Learning Outcomes – H8
142. Graphs can be used to misrepresent data.
*
A. True
B. False
Understanding
Prescribed Learning Outcomes – H8
143. What is the main disadvantage of using the Internet to gather responses to a population survey?
*
A.
B.
C.
D.
The web address is not known.
The Internet is slow sometimes.
The Internet crashes sometimes.
Not everyone has Internet access.
Higher Mental Processes
Prescribed Learning Outcomes – H8
144. 59% of British Columbians said “Yes” they would use Brand A the next time they suffered from a
headache. This survey was taken in Kitimat. Based on this data all British Columbia pharmacists
should order 59% of Brand A for their inventories.
*
A. Statement is always true.
B. Statement is sometimes true.
C. Statement is never true.
Assessment Department
(Issued September 2004)
– 70 –
Essentials of Mathematics 10
Sample Questions