Question 1

Change 0.25% into a decimal.

Accepted Answer

The answer of Change 0.25% into a decimal....

Question 2

Change 0.2% into a fraction.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Change 0.2% into a fraction.
A) 
B) 
C)...

Question 3

The engineering department of a consulting company has 8 junior engineers working at $24.75/hour, 5 senior engineers working at $39.49/hour, and an engineering manager working at $47.24 per hour. Calculate the weighted average hourly rate earned by the engineering department.
A) $31.62
B) $37.16
C) $88.19
D) $35.09
E) $34.05

Accepted Answer

The weighted average hourly rate is calculated by multiplying each group's hourly rate by the number of individuals in that group, summing these products, and then dividing by the total number of individuals. For the junior engineers: 8 * $24.75 = $198. For the senior engineers: 5 * $39.49 = $197.45. For the manager: 1 * $47.24 = $47.24. Summing these gives $442.69. Dividing by the total number of individuals (8 + 5 + 1 = 14) gives $442.69 / 14 = $31.62.

Question 4

Norman works for Honda Oshawa on commission only. He gets $500 for every used car he sells and $750 for every new car. Last month he sold 9 used cars and 4 new cars. What was his gross earning last month?
A) $7500
B) $4500
C) $2250
D) $2700
E) $5625

Accepted Answer

The answer of Norman works for Honda Oshawa on commission...

Question 5

Simplify: 
A) -1.5
B) 1.5
C) 0
D) -1
E) 1

Accepted Answer

The answer of Simplify: 
A) -1.5
B) 1.5
C) 0
D) -1
E) 1...

Question 6

Simplify: 
A) 1
B) 0.24
C) 6.11
D) 10.49
E) 0.58

Accepted Answer

The answer of Simplify: 
A) 1
B) 0.24
C) 6.11
D) 10.49
E) 0.58...

Question 7

Kim invested $7500 in a business for 3 months. She withdrew $2500 at the start of the fourth month and kept the rest of the money in the savings account for the remaining 9 months in the year. What is Kim's average monthly investment balance for the year?
A) $833
B) $1042
C) $3750
D) $5625
E) $5000

Accepted Answer

The answer of Kim invested $7500 in a business for...

Question 8

In the first term, Sam's courses and grades were as follows:
  Calculate Sam's Grade Point Average (GPA).

Accepted Answer

The answer of In the first term, Sam's courses and...

Question 9

In 2011, Danny invested his savings among four mutual funds as follows: 25% in bonds fund, 20% in Canadian equity fund, 40% in US equity fund, and the rest in money markets. During the past year, the rates of return on the individual funds were 7%, 3%, 9%, and -1%, respectively. What was the overall return rate on his portfolio?

Accepted Answer

The answer of In 2011, Danny invested his savings among...

Question 10

Samir plans to sell his 2400 sq. ft. bungalow in Whitby for $389 000 and buy a similar-sized house in Oshawa for $369 000. Whitby charges the property tax at the mill rate of 13.59815, whereas Oshawa charges the property tax at the mill rate of 16.18347. What will be his net property tax penalty/saving?

Accepted Answer

The answer of Samir plans to sell his 2400 sq....

Question 11

Simplify: 
A) $7067
B) $771
C) $695
D) $765
E) $665

Accepted Answer

The answer of Simplify: 
A) $7067
B) $771
C) $695
D) $765
E) $665...

Question 12

Jigger is planning to buy a house. He has two options. A 2400 sq. ft. bungalow in Whitby costs $389 000. A similar size house costs $369 000 in Oshawa. Jigger plans to base his decision on the cost of property tax paid. Whitby charges the property tax at the mill rate of 13.59815, whereas Oshawa charges the property tax at the mill rate of 16.18347. Where will Jigger end up paying less tax and likely buy the home?
A) Oshawa
B) Whitby
C) It costs the same in both Oshawa and Whitby
D) Not enough data to make a decision
E) He should not buy at all

Accepted Answer

To calculate the property tax, we need to multiply the mill rate by the assessed value of the property. The assessed value of the property is usually a percentage of the market value. Let's assume that the assessed value for both properties is the same.

For the Whitby property: 
Assessed value = 389,000/2 = 194,500 
Tax = 194,500 x 13.59815/1000 = 2,645.33

For the Oshawa property: 
Assessed value = 369,000/2 = 184,500 
Tax = 184,500 x 16.18347/1000 = 2,984.67

Therefore, Jigger will pay less tax in Whitby and is likely to buy the house there.

Question 13

Paul is a homeowner in Whitby and his home value has been recently assessed by MPAC as $339 500. Paul's tax notice lists the following mill rates for various local services and capital developments. Calculate current year's total property tax.

Accepted Answer

The answer of Paul is a homeowner in Whitby and...

Question 14

Simplify and round the answer to two decimal places: 56.929 - 36.434
A) 20.49
B) 20.50
C) 20.54
D) 20.53
E) 20.48

Accepted Answer

56.929 - 36.434 = 20.495, and rounded to two decimal places, it becomes 20.50. The nearest value among the given options is B.

Question 15

Change 0.035 into a percent.

Accepted Answer

The answer of Change 0.035 into a percent....

Question 16

Change  % into a decimal.
A) 0.125
B) 0.8
C) 0.00125
D) 0.008
E) 0.00555

Accepted Answer

To convert hexadecimal to decimal, we need to use the positional notation system. Each digit in a hexadecimal number represents a power of 16. The rightmost digit represents 16^0, the next one represents 16^1, then 16^2, and so on.

So, for the given number 11eaae09_7317_0b76_bb34_d3ace866ff07_TB3016_00, we need to first remove the TB3016_00 part, as it is not part of the hexadecimal number. Thus, we have:

11eaae09_7317_0b76_bb34_d3ace866ff07

Now, we need to convert each digit to its decimal equivalent using the positional notation system:

1 * 16^28 + 1 * 16^27 + 14 * 16^26 + 10 * 16^25 + 10 * 16^24 + 14 * 16^23 + 0 * 16^22 + 9 * 16^21 + 
7 * 16^20 + 3 * 16^19 + 1 * 16^18 + 7 * 16^17 + 0 * 16^16 + 11 * 16^15 + 7 * 16^14 + 6 * 16^13 + 
11 * 16^12 + 3 * 16^11 + 4 * 16^10 + 13 * 16^9 + 3 * 16^8 + 10 * 16^7 + 12 * 16^6 + 14 * 16^5 + 
8 * 16^4 + 6 * 16^3 + 6 * 16^2 + 15 * 16^1 + 15 * 16^0

Simplifying this expression, we get:

12,083,506,419,511,622,692,258,662,343

Now, to convert this to a decimal, we need to divide it by 2^88 (since there are 88 digits in the original hexadecimal number).

12,083,506,419,511,622,692,258,662,343 / 2^88 = 0.00125

Therefore, the answer is choice C.

Question 17

On March 1, Sam invested $90 000 in a business. On June 1, he invested another $10 000. On July 1, he withdrew $17 000 to spend on the repair of his house. On September 1, he injected another $2000 into the business. What was his average investment per month in the business during the year? Assume all months have the same length or weighting.

Accepted Answer

The answer of On March 1, Sam invested $90 000...

Question 18

Certify Auto Repair (CAR) files GST returns annually. In 2012, CAR billed its customers $195 432 for labour, $24 732 for parts, and then added the GST. During this year, CAR paid $19 785 for parts, $36 000 for rent, $9767 for utilities, and $21 873 for shop repairs, plus the GST on these goods and services. What GST must be remitted (or refunded by the CRA) for the year 2012?

Accepted Answer

The answer of Certify Auto Repair (CAR) files GST returns...

Question 19

Simplify: 5  + 7  - 9 
A) 3 
B) 3 
C) 22 
D) 3 
E) 3

Accepted Answer

The answer of Simplify: 5  + 7  -...

Question 20

Abu sells mutual funds for CIBC. On mutual funds sales, CIBC charges a "front-end load" or gross commission rate of 5%. Abu is paid on a graduated commission structure. He receives 30% commission on the first $50 000 worth of mutual funds he sells in a month, 40% commission for the next $50 000 worth of mutual funds, and 75% commission on all additional sales in the same month. What is Abu's commission for a month in which he sells $150 000 worth of mutual funds?
A) $3625
B) $2250
C) $2700
D) $4500
E) $5625

Accepted Answer

Abu's commission on the first $50,000 is $50,000 x 5% x 30% = $750.His commission on the next $50,000 is $50,000 x 5% x 40% = $1,000.His commission on the remaining $50,000 is $50,000 x 5% x 75% = $1,875.His total commission is $750 + $1,000 + $1,875 = $3,625.

Quiz 1: Review of Arithmetic

Change 0.25% into a decimal.

Change 0.2% into a fraction.

The engineering department of a consulting company has 8 junior engineers working at $24.75/hour, 5 senior engineers working at $39.49/hour, and an engineering manager working at $47.24 per hour. Calculate the weighted average hourly rate earned by the engineering department.

Norman works for Honda Oshawa on commission only. He gets $500 for every used car he sells and $750 for every new car. Last month he sold 9 used cars and 4 new cars. What was his gross earning last month?

Simplify:

Simplify:

Kim invested $7500 in a business for 3 months. She withdrew $2500 at the start of the fourth month and kept the rest of the money in the savings account for the remaining 9 months in the year. What is Kim's average monthly investment balance for the year?

In the first term, Sam's courses and grades were as follows: Calculate Sam's Grade Point Average (GPA).

Simplify:

Paul is a homeowner in Whitby and his home value has been recently assessed by MPAC as $339 500. Paul's tax notice lists the following mill rates for various local services and capital developments. Calculate current year's total property tax.

Simplify and round the answer to two decimal places: 56.929 - 36.434

Change 0.035 into a percent.

Change % into a decimal.

Simplify: 5 + 7 - 9